{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-16T00:12:35.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-16T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":52070,"title":"Compute the effective conductivity of a heterogeneous aquifer","description":"Slow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water to the gradient in piezometric head by\r\n\r\nwhere is the conductivity of the soil and is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow (and the specific discharge ) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \r\nSome aquifers, or underground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of set such that the aquifer produces the same flow under the same total change in head. \r\nFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If is 2 m/d (meters/day) and is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \r\nWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 634px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 317px; transform-origin: 407px 317px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.833px 7.91667px; transform-origin: 311.833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSlow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56.0083px 7.91667px; transform-origin: 56.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the gradient in piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"dh/dx\" style=\"width: 39.5px; height: 19px;\" width=\"39.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.33333px 7.91667px; transform-origin: 9.33333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8333px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4167px; text-align: left; transform-origin: 384px 17.4167px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 7.91667px; transform-origin: 21.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.625px 7.91667px; transform-origin: 104.625px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the conductivity of the soil and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 244.283px 7.91667px; transform-origin: 244.283px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.1333px 7.91667px; transform-origin: 87.1333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (and the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 19px;\" width=\"57.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 227.95px 7.91667px; transform-origin: 227.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.175px 7.91667px; transform-origin: 57.175px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSome aquifers, or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 325.6px 7.91667px; transform-origin: 325.6px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eunderground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 252.433px 7.91667px; transform-origin: 252.433px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e set such that the aquifer produces the same flow under the same total change in head. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.625px; text-align: left; transform-origin: 384px 31.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.917px 7.91667px; transform-origin: 376.917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K1\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.225px 7.91667px; transform-origin: 83.225px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 2 m/d (meters/day) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K2\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 251.125px 7.91667px; transform-origin: 251.125px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.242px 7.91667px; transform-origin: 376.242px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 208.917px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 104.458px; text-align: left; transform-origin: 384px 104.458px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 382px;height: 203px\" src=\"data:image/png;base64,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\" alt=\"Aquifers in series and parallel\" data-image-state=\"image-loaded\" width=\"382\" height=\"203\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Keff = effectiveConductivity(K)\r\n Keff = mean(K);\r\nend","test_suite":"%%\r\nK1 = 2;\r\nK2 = 6;\r\nK = K1*ones(4);\r\nK(:,1:2) = K2;\r\nKeff_correct = 3;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK = K1*ones(4);\r\nK(:,3:4) = K2;\r\nKeff_correct = 3;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK = K1*ones(4);\r\nK(1:2,:) = K2;\r\nKeff_correct = 4;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK = K1*ones(4);\r\nK(3:4,:) = K2;\r\nKeff_correct = 4;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10*rand;\r\nK = K1*ones(7);\r\nKeff_correct = K1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK = K1*ones(10);\r\nK(:,10) = K2;\r\nKeff_correct = 5.2632;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK = K1*ones(10);\r\nK(:,5) = K2;\r\nKeff_correct = 5.2632;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK = K1*ones(10);\r\nK(10,:) = K2;\r\nKeff_correct = 9.1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK = K1*ones(10);\r\nK(5,:) = K2;\r\nKeff_correct = 9.1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 4;\r\nK2 = 1;\r\nK3 = 8;\r\nK = K1*ones(8);\r\nK(4:6,:) = K2;\r\nK(7:8,:) = K3;\r\nKeff_correct = 3.875;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 4;\r\nK2 = 1;\r\nK3 = 8;\r\nK = K1*ones(8);\r\nK(:,4:6) = K2;\r\nK(:,7:8) = K3;\r\nKeff_correct = 2;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 1;\r\nK2 = 2;\r\nK3 = 3;\r\nK4 = 4;\r\nK = K1*ones(10);\r\nK(5:7,:) = K2;\r\nK(8:9,:) = K3;\r\nK(10,:) = K4;\r\nKeff_correct = 2;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 1;\r\nK2 = 2;\r\nK3 = 3;\r\nK4 = 4;\r\nK = K1*ones(10);\r\nK(:,5:7) = K2;\r\nK(:,8:9) = K3;\r\nK(:,10) = K4;\r\nKeff_correct = 1.5584;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-17T14:24:44.000Z","updated_at":"2026-03-16T13:48:00.000Z","published_at":"2021-06-17T14:30:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSlow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to the gradient in piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the conductivity of the soil and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (and the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSome aquifers, or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eunderground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e set such that the aquifer produces the same flow under the same total change in head. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 2 m/d (meters/day) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. 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7g2t4aMNJPamM2PYBUn+G41b5vq/piJ3XiTV1dtGEm9Zr+5jKdh3/0PSosXL869kY86xZfMNQ8+kA4/8qh0+10/rE4Oitudqx9at6TnHbffkr7+t9dUbQCgtwj7XWg3s99q5v0Nb9wqnXXehbk3pN1M6pl/flr1ZSCOBtx46z3pvM9cVt3/3HPPpqeefFIZD6Oq1+y3mtlvOPXPPrnuy2Rod9QpjgR8576Hq89wfeWe+PIZJ6I3LiT3N1f/dfUTAOgtwn4XxjKzH2JWdO+3HZh77WdSt99xl+rE3m/ccV/1JeGpp4aWPQ2/u+GGyngYk3Yz+w2fHeeqUa95zZy0Q16r/+c/f8SXUQDoQcJ+F8Yys98Qs6Cx7nlDq5nUOKk3bq2Y2WesRprZD2M56tRK8+f9+d/6fAJArxH2uzDWmf0Q5RUXffGq3BsSM6k/+sF9udde1Oyb2acTndTs18VRp7g1xFGnMz764nr8I4n3+m4+EvC61285rIQIAOgNwn6XItzEFXPjJMW4vfb3txg1jL91/o7V0ofxvMatXqrTrLFEopp9OrXPfget+2y964g/zveOLGb346TdxvM23rizk8H/+Z/urb4chD9852HVTwCgtwy8MCi3W3pg7VAYjXW1Xd58/Yr66YXv2q9q3/eTR82ctuBzOTViVn/3P3hTFfbjRN+vrfy2I081jc9lN5c1nw4GBgb8fwswBuPZr5jZ7xNm9uklf/nps9fN6seqUYI+APQmYb8PqNmnl9xy0/XrLvh28ikfSfPesm3VBgB6j7Dfw9Ts02uitOzEY4dWjDr+pFPTyacuqdoAQG8S9ntYhPwGM/tMtbUP/3TdOSSxgs8HTj+jagMAvUvY7xNm9plKsfb+/nvsULVj5Z7m9fkBgN4k7PcBNftMpVh55+D9d6uONG2z7fxq+VgAoD8I+z1MzT5TLT5z7zvhPeuW2Fxx3c35NwBAPxD2e8jyZZdX66g2boe/Y8/8m5R2nb9l2nrLV1X3H/PuQ/O9MLmuu3Z5+ubNK6v2/T/6ftr2jZsO+4zWb4vfe0T1OACgdwj7PWTGzKGZ/NHMmDkjt2BybfmGN+bW6J579rncAgB6hSvo0td8LulFjc+lK+i25gq6AGMznv2KmX0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gGAvvf4Y79I11y1LH3qnKXpnrtX5XtH90+r70mfO/+sdMnnz69eA0oj7AMAfe+Kyz6Xlpx2YhXaF75rv3zvyOKLweHv2DN97tNnV+0rL/5E/g2UQ9gHAPrezJmzcqszt9x0ffXFoGHGjJlp4aL35R6UQ9gHAPres88+k1uje/An96cTj12Ye0Ouvf62tNlrN889KIewDwD0vU5n9p955jdp8aLDcm/IWeddmOa9Zdvcg7II+wDAtPDb559P7zvhPWnNmjX5npSOP+nUdPiRR+UelEfYBwCmhQs/e2765s0rcy+lvd92YPrA6WfkHpRJ2AcA+t5oNftxQm6sutOw1bxt0ucv/UruQbmEfQCg77Wr2Y/SnUf+fe2wE3Jnz56dLvvSNellG2yQ74FyCfsAQLGe/+3z6fCD9sy9IV++6gYr7zBtCPsAQLHihNxHH/157qV04ReWW3mHaUXYBwD6Xqua/bgqbv2E3Fh5Z9/9D8o9mB6EfQCg7zXX7DdfIdfKO0xXwj4AUJwlp52QW0M+tOQvcgumF2EfACjOko+dm1tDjjri7dXVc2G6EfYBgL7XXLN/yGEL04IFC3IvVSfpfvyjJ+ceTB/CPgDQ91qts3/mJy9Lm276e7mX0ooVK9I1Vy3LPZgehH0AoFiX/9V1uTVkyWknprUP/zT3oHzCPgBQrFhTf8nSc3JvyJEH76N+n2lD2AcA+l6rdfYbjj72pGrpzQb1+0wnwj4A0Pda1ezXfeaiL3dVv3/XqjuqlXy22uIV627/Y4c3qv2nbwj7AEDxZs16efrsJcMDetTvP/iT+3NvuCjzOeLgvaugH4G/Lo4MxHMXv/eIfA/0LmEfAJgWdtxpt3TyKR/JvSHHHHVoy/r9xx/7RVrz4APV8p233/XDdP/Dv65ud65+KO2y2+7VY75588r01WuXV23oVcI+AND3RqrZrzv51CVp/g475V5K/7b2X1vW72/22s3Td+57uFq+M9oNG200O517waVpxoyZVf/Grw9f7Qd6jbAPAPS90Wr265ZdfUOaPXt27o1t/f2XbbBBFf5333Ofqr/24X+1sg89TdgHAKaVqN//3KVfyb0hI9XvN/vt88/n1pANXrZBbkHvEfYBgGkn6u4XHnVM7g1ZvOiwjmbpY3b/u3evqtqbb/G6qg+9StgHAPreZr+/RW6lNHfu3Nwa2RlnXVCdgNvw1FNPVz9HC/z3DAb9J554omq/4xAr8tDbBl4YlNstPbD2yepnrCsbZ6FDL/G5pBc1Ppdv2nzDfA91AwMD/r+lr+287RZV2N9q3jbp2utvq8qCYDKNZ79iZh8AoENR29+Y1T/vM5cJ+vQ8YR8AoANxca3Gqj2xXv+8t2xbtaGXCfsAAKOIoB9X0w0R9GO9fugHwj4AwAge+fe16b1/fEjVjhN6BX36ibAPANBGBP09dtk6Pffcs2nf/Q+qrqgL/UTYBwBoIZbgPPygPat2rLzzuYs7u8ou9BJhHwCgSQT9E49ZmB599Odpm23np+tvvtPFs+hLwj4AQJO/++r/S3fcfkvV/v59q6t1ztvdjnn3odXjoBcJ+wAATbZ8wxtza3QzZs7ILeg9rqBLX/O5pBc1PpeuoNuaK+gCjM149itm9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIXqOOzPnTs3twCge/YnAOvPwAuDcruljy0ayC3oPWdcmdLSo3MHekTjc/mxK0YcXqct+xWAsRnPfkUZD31tzsa5AQDASwj79LXj35kb0EN8CQVgIs2YMTO3xk7YB5hgvoQCMJGW/PGzuTV2wj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFGnhhUG4DAAAFMbMPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUKiBFwblNgAAY7RmzZp0ySWXVO2NNtoonX766VW7WaePmwxT+d5MLWGfaSUGu7lz5+YeAIzfxRdfnE444YTcS6ldtOr0cZNhKt+bqSXs09Lq1avTVVddlb5zz/fS44/9Iq3+7t1p/g47pV133jFtt912acGCBWn27Nn50b3vgbVPpp233SI98cQTVf/ss882qwHQxj0/+Ld0zbK/zL3WYl8wb968NH/+/HzP9HXR5SvSiccuzL32QbrTx02GqXxvppawzzAR8j/woSXpmzevzPe0F2F56dKl6eUvf3m+p3etWLEiLVz44iAXs/sPPfRQ7gFQt/2OO1eTPJ2IiZ9jFp+SPvrhP+2rSaCJdOWVV6ZFixblXvsg3enjJsNUvjdTywm6rBMlLttvv31HQT+cc8451eDRj2ZvvGluAdCs06Af4ojpp85ZWu0/Yj8yHf3mN7/JrZF1+rjJMJXvzdQS9qnEYL3XXnvl3pC933ZgWrlyZbr33nurWfBbb721Kn+p17z/9Kc/za3eFmVHRx99dLXt8e86++Nn5t8AMJIYNxulj/HzA6efUbWbz3+KoL/llltWR4inm06PaEzlkY/petSFQVHGA4MDdxzPW3dbvHhx/k1ry5cvf2HOnDnVTwDK0un+YOXKlS8Mhshhj1+wYEH+7fRx0UUXDfsbtNPp4ybDVL43U8vMPpV/vPefc2vo2//goJB7rcVM+SOPPFL9BKBcjYUNWjnggAOqo7/1WeM4R2o6zu5DrxL2qfzkxy+G/Ri8ASCMVv4R5TzNEz933nlnblH3woypK6WZyvdmalmNh8qrXvWqdbM3MXBPxko1Uc954403VnX+saTnazbZqHqvWL7tkEMO6WhVn3j+7bffnt785jdXNfgNcf9NN92UbvvWP1TLgx588MEv+dLSWE709a9//ZiWDh1pu+M9On2dEH/jeK3vfe97605kG+vfAGCyDQwM5NbQkdzly5fnXmvNK7006vtbqY+D0b7/X36adt5xu+pCT7GM56677trRuBrPjaMID//sV+mPDtl/3RKgcX+sKX/zN79V9Xf973uk444+shprm03UtjSv+NYuWnX6uFYa+7DYzju/c086YL990u/Mmj3s3z6S8bw3fS7CPszfYaeqhq9x++Uvf5l/M35PP/10VfNZf/1Wt07q/+uPH/xCUt2399sOHHZ/49as/rs4R2E0nWz34E6go+2Ov+fgjq/la9RvzoEAekF9XBrtHK5w7733DnvO4BeE/JsXxWP23f+gYY9rdRsM5dW5AKOp16DHPizEe8S4XH+9uDVvz2RuS9za6aZu/s7VD1XbUX9e8y3+/aPtt9XsT1/KeKjEbHhdLKEWswfjFTMRW2+9dTXLMpqYcYir+41lebB99nt7x0uFjkWn2x1/o8Z2j/T3OuyI/5U+8pGP5F57nTwGYH3qZF/ws5/9LLeGNM+ix1ga+5Vbbro+39NeHPU88MAD09mfGvncsbqNN3l19bxO9l2TsS2dHpUd69HbCy64IO06f8t1R4LbiaVS4wh9zN6348jx9CXsUzn++ONza0gMLHvts9+4TrJqDLz1QSoO7cbJXINfNKtSoVjaM67M2xCDcAxunfjEJz4xLOjHoeZ4/U4OZ8Yh2nbiarudbHd9Zxbb3e6LQdxf387Fixenf/z+2uq14havFa8P0Is6KWNp3ldEaWLdJZd9MbdeXMozxr4YV+Nn3GJsrDv3L5bk1ujiSu/15aPjPeL14hbbX/83TMa2TMY6+3Etm1NOOSX3hrY1yqliH9TYdzSXSsXkU7svO9bZn8YGPzBQidKW+Eg03+LwZ6NkZizqrzc4SFWHTduJ96i/Z7vDkfXHNG7x2p1sX/05sW3tDA7yw157vNtdL5FqPpTcbHDwzi2AqVMf10Ybt0JzKWjzuBnjajxmtFLF5nLHkcbqeK36Yzt5Tlgf29JOp48L9XKkkf4bxP6v/tj497UylvemLP5rM0w96DbfYrDpNPTHQF9/7nXXXZd/01qE5Prj2w1W9cfELQa40eoUG+rPazdoT8Z2139/xRVX5HsBeld93Bot7DeH4gjS49FJcA3NNehx6+SLyVh0uy3tdPq4+r44tmE0za/bar+oZn/6UsbDMIODQXWYcHBwyfe8KGoB4+qIIx0mbIgSm4Y49BgrzYwk3q++uk6sNNCJdtvarW62e3BQzr3W213fvh//+Me5BdAf2o2xsR+I/UHzuUbXXXt1bnWnvpLaSPuC5u2KfuwTJlKn2zLR6mWhH/7wh3Orvfp+KMQKQ9Ag7PMSCxYsSL/85S+rOvJWg3wj9I9Uz/+j+/8ltzpftz+W02xY8+ADudVebGenr92sXc1+N9sdS3k2tNruHXbaLbdSuvLSc9JNt3039wB6X4z52++4c7UgQvyM2vg4GbTVCaExYRQTJRPliccfza2Xap50uvXWW3Nrcoy0LRPpru8NPxm3031RfX8dS4lCg7BPW3HiT5wIFIN3c+iPQTZOYm135n9z6I1ZhvhyED/b3X71q1/lR790EG9lPDuU+nvVTcZ2H/fe9+RWSj97fHDg3mvHavWe0VZXAOgFMa7Fai+x0ED8vO22214y1sV43OrE1m50u2pMJ4szjFWn29JqYqyVTh73yEPDJ9JipaP4m7fa/zRusZ+qv3ar/Uun20iBcjkPjCjq/6LOPT4y9dvg4PGS2sDmOvZub63OD6j/frSTsJqN9tzJ3O56/WX9FtcIiJOmAHpJq/Gq+Rbjf4xhUQs+FjHWRp1/1NdHff/gF4WWrx+3OXPm5Ge91ETUoK/vbenkcc3nQHRzi/8uzSbi70V/MrNPR2JGIGb6Y+amLmZ36nXuYSJmrOP9JvJQcLNZs2bl1osmc7sHB9mW5xfETFnUvG622WbV7AxArxkMjtXYv2rVqqpUJn4O5oeq3PPvv3FDx7P5McbGeBflP1HnH0eG40jBSGPvSDPrzePpWEz0tnTqhRmjb3NcrX284irAzcbz96K/DUTiz23oSAyKMUg2xI4gBvyGOJwYJT4NUfu/xx57pDlz5lSHI9v9DI12u0uU1y/hHl8+4rU7VX9uPC+eXzeZ210Xf7/YubTaqcSXgok4DA4wHvXxMsakGJvGI8a7GF/r5T8xVsY5TW/d5s3VeVTPPPNM9fOSSy5ZNz7G5EmUk7YSJ7FGSWRDp3FmMraleb/YbluuvPLKtGjRotxr/bjYP8Qa+w333nvviPugxs/6l5E999wzt17U7d+LAgz+x4Yxi49O4zY4SOZ7X1T/fauSmW6N53Xrz126dGm+d7j6YyZyu1uJZT7j0HH9PePWvD41wPpWH5NinBqv5vKYKClpp1722Gr/0hBLGddfs1OTsS3xGvXXbKeTxzU/JkqNJkKn20h5lPHQlValKnUxS9LQfCJXL4hZm1bW53bHyWRR2jM4AOd7hsRMEkCvqI+L3YgSxfqRzNFO5G2ecW+nmyvCTta2TKTm/etE7YvW1/bTe4R9ulIfLFstC1ZfbrIXa9HbLb05FdsdO5r5O+yUe+t3LWeA0Yw3bN5+++25NWS0pSQ7DaXdhNep3pZOHjdv3rzcGhIlQhNhsiew6F3CPlVw/9GazgeB5oGn1Sz/H73rnbk19PqTEZzbBfZOtFt6c31sdyvz37pNbgH0lvGemBr15A2dhN1OJzy6Ca9jnamf6G3p5HGxXfVta14EA8ZK2CedcsopaestX9XR2u/x+/oJPuHII4/MrRfFbHV9sBrLuvKdPq5dYB+Pid7uuK+TWZlYQ7lh1513zC2AqddNuUxd/YKJEXZjMYR2YsyNVXEaugn0I6lfBHEqtqWTL06xD6qXd8b7Nu93R9Jun1XftzG9CPusG3ziTP24Mm6sKBAz2nFrDIbRjsEmfl8f8JYuXdr2Qib11W5i8Innxnu0GjDjPWL1gXhM3CbqsGU7Ix0VmMjtjvr7+Hu2+zfFa8bv64NzrAAE0CvGGxKbV4Y59NBDXxJIYyyNq/PGWFs30nt3c8SheX81UdvS6d+o0y9OcYX4/7bti6vDxbbENrU72tzYR8cqSnGF41Za7cOYJvKJukxjg+F22Bn6nd4OOOCA/ArttVptpnEb6QIm7S40VX/MeFbjGe25E7XdzasfxG3OnDltX+Poo4/OzwSYOvVxaSJW42k1pg5+CajGwrjV719cWwEnxsl2ul1dpv76jdv62pbYR3TyuBArsw1+iRj2+MYttiW2tdXv223nWN6bsvivTSUCf7tBpfkWj4uBrVMxwHT62nGLK/+1W2qs/rjY5rGoP7eTLwoTsd3RbxXqW91ipwLQC+pj00RMQjz99NMvCdLNtxhvV65cWV2FvHHfSAG72/Aa4/JEb0unYX+sX1Di79bqy8lIt3b757G+N+VwUS2GiVKTWK0gTkqq1yrGhbNes8lGVYnJ4MCT7x2bKHeJKwPe/y8/ra4c2zA4qFYrImy33XbVocvBATX/5qXiMGVs28abvDp98NQ/HXUlhbqq/nL16vRfX/GqMT13Ira78XeNQ62NQ8ZzNk7pLTsO/V2jdGik5wOsT1Fe+B+P/So9/tgv0oc/eGo1xk2EGAM/ef5n04MP/LAaC2McjTKfXXbZZdg5U433jyvB1ksr62I8j3E9xvRQv7hjJyZ6W+L8t9+Z8V+qfrtt6Xab43mxvbEf+dl/PDZs/zz4xaU61yv2zyP9dxrv34v+JewDAEChnKALAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAAipTS/wf1Lge/rJlT5AAAAABJRU5ErkJggg==\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59007,"title":"Compute head profiles for steady 1D flow through soils in series","description":"Cody Problem 58966 involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and Cody Problem 52070 involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\r\nWrite a function to compute the head at specified points for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at and , and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 156px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78px; transform-origin: 407px 78px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 308.35px 8px; transform-origin: 308.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116.167px 8px; transform-origin: 116.167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at specified points \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.467px 8px; transform-origin: 187.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE4AAAAkCAYAAAAnxQwhAAACqElEQVRoQ+2YvU4VURDH7+2hUCpoKKTAhMKGj4RY2EBjQ0gElIJQiDwAJPoAmsADCG+gJj4AlBASPho6LaQgIVABEuz1/0/O6LDee885k9wPsrPJP7uwM2fO/u7snDlbrfhhIlA1eblTxcEZk8DBOTgjAaObZ5yDMxIwupUx4ybAahp6CXUVuH3B38fQhxjPMoITJjO4+KQAreN6NQZM7pcZ3BtA+BhAXOA8BF05uDiBTZi8DmbbOE/GXf5ZlDnjzoGhN6B4l1LXNNiygnsECD8UiAFcn3jGxQno+vYd5uM59Y3DN8q4h7j/AnoGPQ1pvYzzRpgX77O40obFtS8+346x+BzmzQmxBeEKm3U0Asd+5wF0DX2F2PMIIELbC5EGwzkl3TnmVtYMaxtn16TCMLfhefjvWYggs47UGqdXoB5EYKb9hJYg1guCPEqI3AnghjHPQzVXPk9yGyJ+qeB0s8ilm8ecJWAC3GabvEWA9yEI69tjS8BUcMyoyxDgF85PoKxVyDK5JvnsY9zRMHbWbkHPJxUcfb5BrGfmX6lJIHKH/a0c2PTKG5Q1Tg44WYmYcd1ZUTrHWNdYPke/tdykgisWdesv1e7FwbLN4px53MnMFHCsb6fQCiSbYmttaDc4KTcEkdrScGu2YAHHYroD8ZOLBD7A9Vj4JdiFs4nMXtJb/AbrBY6hR6BYC7UGm3novy8ntTKOfQ4PDiqNIXcMBKNTnb6ENgXdh9ZEb7P4fLH+TexrfjkpgtPNIYvnGfQcktZD93PcRdwU7rc4ibLC6TaEjvV2DHzGRUhqm95m/g1YBMddwC7Ezy18HV8paOIkE6h3P+tpWmAsb4WAyAlZd+VNWRxyApXG1sEZf2oH5+CMBIxunnEOzkjA6OYZ5+CMBIxunnFGcH8Aj6F0Jax+IDwAAAAASUVORK5CYII=\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function h = flowInSeries(x,xb,K,h0,hL,isconfined)\r\n h = interp1(xb,linspace(h0,hL,length(xb)),x);\r\nend","test_suite":"%%\r\nx = 0:100:900; % Positions where head is requested (m)\r\nxb = [0 600 900]; % Locations of boundaries of soil units (m)\r\nK = [3e-6 1e-4]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 10; % Head at x = 0 (m)\r\nhL = 9; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [10 9.8358 9.6716 9.5074 9.3432 9.179 9.0148 9.0099 9.0049 9];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:50:700; % Positions where head is requested (m)\r\nxb = [0 450 700]; % Locations of boundaries of soil units (m)\r\nK = [2 0.3]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 25; % Head at x = 0 (m)\r\nhL = 22; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [25 24.9333 24.8664 24.7994 24.7321 24.6647 24.5971 24.5293 24.4613 24.3931 23.9336 23.4652 22.9872 22.499 22];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200; % Positions where head is requested (m)\r\nxb = [0 1500]; % Locations of boundaries of soil units (m)\r\nK = 100*rand; % Hydraulic conductivities of soil units (m/d)\r\nh0 = 13; % Head at x = 0 (m)\r\nhL = 12; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 100:100:1400; % Positions where head is requested (m)\r\nxb = [0 1500]; % Locations of boundaries of soil units (m)\r\nK = 50*rand; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 21; % Head at x = 0 (m)\r\nhL = 19; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [20.8726 20.7445 20.6155 20.4858 20.3552 20.2237 20.0915 19.9583 19.8242 19.6893 19.5533 19.4165 19.2787 19.1398];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [1 0.2 30]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8649 37.7297 37.5946 37.4595 36.7838 36.1081 35.4324 34.7568 34.0811 33.4054 32.7297 32.0541 32.0495 32.045 32.0405 32.036 32.0315 32.027 32.0225 32.018 32.0135 32.009 32.0045 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [0.2 30 1]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.0702 36.1405 35.2107 34.281 34.2748 34.2686 34.2624 34.2562 34.25 34.2438 34.2376 34.2314 34.0455 33.8595 33.6736 33.4876 33.3017 33.1157 32.9298 32.7438 32.5579 32.3719 32.186 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [30 1 0.2]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9971 37.9941 37.9912 37.9883 37.9002 37.8121 37.7241 37.636 37.5479 37.4599 37.3718 37.2838 36.8434 36.4031 35.9628 35.5225 35.0822 34.6419 34.2016 33.7613 33.3209 32.8806 32.4403 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [1 0.2 30]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8753 37.7502 37.6247 37.4988 36.8628 36.2156 35.5566 34.8851 34.2005 33.5019 32.7884 32.0591 32.0541 32.0492 32.0443 32.0394 32.0345 32.0295 32.0246 32.0197 32.0148 32.0099 32.0049 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [0.2 30 1]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.1338 36.2469 35.3377 34.4045 34.3982 34.3919 34.3856 34.3793 34.373 34.3666 34.3603 34.354 34.164 33.973 33.7809 33.5877 33.3933 33.1979 33.0013 32.8034 32.6044 32.4042 32.2027 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [30 1 0.2]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9973 37.9946 37.9919 37.9892 37.908 37.8266 37.745 37.6633 37.5813 37.4992 37.4169 37.3345 36.9194 36.4996 36.0749 35.6451 35.2101 34.7697 34.3236 33.8716 33.4136 32.9491 32.478 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200; % Positions where head is requested (m)\r\nxb = [0 unique(100*randi(14,1,randi(6))) 1500]; % Locations of boundaries of soil units (m)\r\nK0 = 100*rand; % Hydraulic conductivity of soil units (m/d)\r\nK = repelem(K0,length(xb)-1); % Hydraulic conductivities of soil units (m/d)\r\nh0 = 13; % Head at x = 0 (m)\r\nhL = 12; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6))); % Locations of interfaces of soil units\r\nxb = [0 xi 1500]; % Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1); % Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand; % Head at x = 0 (m)\r\nhL = 25*rand; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6))); % Locations of interfaces of soil units\r\nxb = [0 xi 1500]; % Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1); % Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand; % Head at x = 0 (m)\r\nhL = 25*rand; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h.^2)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nfiletext = fileread('flowInSeries.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-24T14:39:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-24T14:38:53.000Z","updated_at":"2026-02-12T13:44:49.000Z","published_at":"2023-09-24T14:39:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at specified points \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59147,"title":"Determine aquifer properties: steady pump test in a leaky confined aquifer","description":"Problem statement\r\nWrite a function to determine the hydraulic conductivity of a leaky confined aquifer and the hydraulic conductivity of the leaky confining layer given the pumping rate and radius of the well, the drawdowns measured at distances from the well, and the thicknesses and of the leaky confined aquifer and the leaking confining layer, respectively. \r\nBackground\r\nCody Problem 59002 dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in other pumping tests, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\r\nAn analytical solution for the drawdown can be determined by solving the equation\r\n\r\nwith the boundary conditions that the drawdown far from the well is zero (i.e., ) and the flow at the well is . Using Darcy’s law and the convention that flow to the well is positive, one finds\r\n\r\nThe governing equation is related to the one in Cody Problem 51783, and it is the polar coordinates version of the equation in Cody Problem 59002. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 819.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 409.55px; transform-origin: 407px 409.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 179.325px 8px; transform-origin: 179.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a leaky confined aquifer and the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"18\" alt=\"K'\" style=\"width: 19px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the leaky confining layer given the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.5667px 8px; transform-origin: 36.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"rw\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86.35px 8px; transform-origin: 86.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the well, the drawdowns \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.2917px 8px; transform-origin: 74.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e measured at distances \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the well, and the thicknesses \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"18\" alt=\"b'\" style=\"width: 15px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.767px 8px; transform-origin: 229.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the leaky confined aquifer and the leaking confining layer, respectively. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59002\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 59002\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 310.817px 8px; transform-origin: 310.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/49743\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eother pumping tests\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 215.092px 8px; transform-origin: 215.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 254.808px 8px; transform-origin: 254.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn analytical solution for the drawdown can be determined by solving the equation\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"136.5\" height=\"36.5\" alt=\"d2s/dr2 + (1/r)ds/dr - K's/Kbb' = 0\" style=\"width: 136.5px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 239.6px 8px; transform-origin: 239.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewith the boundary conditions that the drawdown far from the well is zero (i.e., \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"60.5\" height=\"18.5\" alt=\"s(inf) = 0\" style=\"width: 60.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and the flow at the well is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Using Darcy’s law and the convention that flow to the well is positive, one finds\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"141.5\" height=\"35\" alt=\"Q0 = -2pi rw b K (ds/dr)|_{r=rw}\" style=\"width: 141.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.267px 8px; transform-origin: 146.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe governing equation is related to the one in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51783\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 51783\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 169.983px 8px; transform-origin: 169.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and it is the polar coordinates version of the equation in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59002\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 59002\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 370.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 185.35px; text-align: left; transform-origin: 384px 185.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"504\" height=\"365\" style=\"vertical-align: baseline;width: 504px;height: 365px\" 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\" alt=\"Steady pump test in a leaky confined aquifer\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp)\r\n% K = hydraulic conductivity of aquifer; Kp = hydraulic conductivity of confining layer\r\n% Other variables are defined in the test suite\r\n \r\n K = Q0*log(r(1)/r(2))/(2*pi*b*(s(2)-s(1));\r\n Kp = K*bp/b;\r\n \r\nend","test_suite":"%%\r\nr = [30 75]; % Distances from the well (m)\r\ns = [0.4 0.25]; % Observed drawdown (m)\r\nQ0 = 1000; % Pumping rate (m3/d)\r\nrw = 0.6; % Radius of the well (m)\r\nb = 10; % Thickness of the confined aquifer (m)\r\nbp = 1.5; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 93.54;\r\nKp_correct = 1.82e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75]; % Distances from the well (m)\r\ns = [0.4 0.25]; % Observed drawdown (m)\r\nQ0 = 2000; % Pumping rate (m3/d)\r\nrw = 0.6; % Radius of the well (m)\r\nb = 10; % Thickness of the confined aquifer (m)\r\nbp = 1.5; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 187.07;\r\nKp_correct = 3.64e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75]; % Distances from the well (m)\r\ns = [0.6 0.4]; % Observed drawdown (m)\r\nQ0 = 1000; % Pumping rate (m3/d)\r\nrw = 0.6; % Radius of the well (m)\r\nb = 10; % Thickness of the confined aquifer (m)\r\nbp = 1.5; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 71.32;\r\nKp_correct = 7.00e-3;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75]; % Distances from the well (m)\r\ns = [0.6 0.4]; % Observed drawdown (m)\r\nQ0 = 1000; % Pumping rate (m3/d)\r\nrw = 0.3; % Radius of the well (m)\r\nb = 10; % Thickness of the confined aquifer (m)\r\nbp = 3; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 71.32;\r\nKp_correct = 1.40e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [100 240]; % Distances from the well (m)\r\ns = [4.0 2.8]; % Observed drawdown (m)\r\nQ0 = 3500; % Pumping rate (m3/d)\r\nrw = 0.3; % Radius of the well (m)\r\nb = 35; % Thickness of the confined aquifer (m)\r\nbp = 2.3; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 11.43;\r\nKp_correct = 3.74e-4;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [100 240]; % Distances from the well (m)\r\ns = [10 8]; % Observed drawdown (m)\r\nQ0 = 3500; % Pumping rate (m3/d)\r\nrw = 0.3; % Radius of the well (m)\r\nb = 35; % Thickness of the confined aquifer (m)\r\nbp = 2.3; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 6.959;\r\nKp_correct = 1.126e-5;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('steadyPumpTestLeakyConfined.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-11-04T15:23:23.000Z","updated_at":"2026-02-12T15:06:18.000Z","published_at":"2023-11-04T15:23:23.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a leaky confined aquifer and the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the leaky confining layer given the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the well, the drawdowns \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e measured at distances \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the well, and the thicknesses \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the leaky confined aquifer and the leaking confining layer, respectively. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59002\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 59002\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/49743\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eother pumping tests\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn analytical solution for the drawdown can be determined by solving the equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d2s/dr2 + (1/r)ds/dr - K's/Kbb' = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{d^2s}{dr^2}+\\\\frac{1}{r}\\\\frac{ds}{dr}-\\\\frac{K\\\\prime s}{\\nKbb\\\\prime} = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewith the boundary conditions that the drawdown far from the well is zero (i.e., \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s(inf) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es(\\\\infty) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) and the flow at the well is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Using Darcy’s law and the convention that flow to the well is positive, one finds\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0 = -2pi rw b K (ds/dr)|_{r=rw}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = -2\\\\pi r_wbK\\\\frac{ds}{dr}|_{r=r_w}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe governing equation is related to the one in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51783\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 51783\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and it is the polar coordinates version of the equation in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59002\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 59002\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"365\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" 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aquifer properties: steady pump test in confined or unconfined aquifers","description":"Problem statement\r\nWrite a function to determine the hydraulic conductivity and radius of influence using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns measured at distances from the well, the input will include the pumping rate , the piezometric head in the absence of pumping, and a variable b that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine and from a curve fit to either the drawdown or piezometric head . \r\nBackground\r\nConservation of mass for steady flow says that the flow past any cylinder of radius centered on the well has to be equal to the pumping rate . Then if the flow is defined as positive toward the well (i.e., in the direction), Darcy’s law states\r\n\r\nwhere is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness for the confined aquifer and the (variable) thickness for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\r\n\r\none can determine an expression for the drawdown for the confined aquifer or piezometric head for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 435.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 217.9px; transform-origin: 407px 217.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 106px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53px; text-align: left; transform-origin: 384px 53px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.3px 8px; transform-origin: 74.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and radius of influence \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 120.567px 8px; transform-origin: 120.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.2917px 8px; transform-origin: 74.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e measured at distances \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.1667px 8px; transform-origin: 57.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the well, the input will include the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.7917px 8px; transform-origin: 70.7917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133.817px 8px; transform-origin: 133.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the absence of pumping, and a variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.85px 8px; transform-origin: 3.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eb\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.2167px 8px; transform-origin: 34.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.05px 8px; transform-origin: 89.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from a curve fit to either the drawdown or piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65\" height=\"18\" alt=\"h = H - s\" style=\"width: 65px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 255.925px 8px; transform-origin: 255.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConservation of mass for steady flow says that the flow past any cylinder of radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 123.283px 8px; transform-origin: 123.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e centered on the well has to be equal to the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 203.417px 8px; transform-origin: 203.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then if the flow is defined as positive toward the well (i.e., in the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"20\" height=\"18\" alt=\"-r\" style=\"width: 20px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.8833px 8px; transform-origin: 90.8833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e direction), Darcy’s law states\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79.5\" height=\"35\" alt=\"Q0 = K(dh/dr)A\" style=\"width: 79.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 352.267px 8px; transform-origin: 352.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.4583px 8px; transform-origin: 75.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the confined aquifer and the (variable) thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 282.008px 8px; transform-origin: 282.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"64\" height=\"18.5\" alt=\"h(R) = H\" style=\"width: 64px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 297.975px 8px; transform-origin: 297.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eone can determine an expression for the drawdown for the confined aquifer or piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,R] = steadyPumpTest(r,s,Q0,H,b)\r\n% K = hydraulic conductivity\r\n% R = radius of influence\r\n% r = distance from the well\r\n% s = drawdown = H - h \r\n% Q0 = pumping rate\r\n% H = piezometric head without pumping\r\n% b = {aquifer thickness if confined, [] if unconfined}\r\n h = H-s;\r\n K = Q0/(2*pi*r*b);\r\n R = interp1(s,r,0);\r\nend","test_suite":"%% Confined aquifer\r\nr = [35 75 110 150]; % Distance from well (m)\r\ns = [0.9 0.6 0.3 0.1]; % Drawdown (m)\r\nH = 15; % Piezometric head without pumping (m)\r\nQ0 = 2592; % Pumping rate (m3/d)\r\nb = 25; % Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 30.0;\r\nR_correct = 192.4;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [50 100]; % Distance from well (m)\r\ns = [0.42 0.27]; % Drawdown (m)\r\nH = 15; % Piezometric head without pumping (m)\r\nQ0 = 8000; % Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 401.5;\r\nR_correct = 354.5;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [25 47 70 96 131]; % Distance from well (m)\r\ns = [12.32 10.1 8.69 7.53 6.45]; % Drawdown (m)\r\nH = 50; % Piezometric head without pumping (m)\r\nQ0 = 4600; % Pumping rate (m3/d)\r\nb = 25; % Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 8.25;\r\nR_correct = 804.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [25 47 70 96 131]; % Distance from well (m)\r\ns = [6.61 5.33 4.54 3.93 3.33]; % Drawdown (m)\r\nH = 50; % Piezometric head without pumping (m)\r\nQ0 = 4600; % Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 8.213;\r\nR_correct = 796.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [54 112 140 222]; % Distance from well (m)\r\ns = [1.12 0.87 0.74 0.6]; % Drawdown (m)\r\nH = 64; % Piezometric head without pumping (m)\r\nQ0 = 2300; % Pumping rate (m3/d)\r\nb = 43; % Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 22.78;\r\nR_correct = 1087;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [43 98 151 208]; % Distance from well (m)\r\ns = [2.65 1.81 1.38 1.06]; % Drawdown (m)\r\nH = 75; % Piezometric head without pumping (m)\r\nQ0 = 1300; % Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 2.805;\r\nR_correct = 605.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [35 75 110 150]; % Distance from well (m)\r\ns = [0.9 0.6 0.3 0.1]; % Drawdown (m)\r\nH = 15; % Piezometric head without pumping (m)\r\nQ0 = 2592; % Pumping rate (m3/d)\r\nb = 60*rand; % Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 750/b;\r\nR_correct = 192.4;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%%\r\nfiletext = fileread('steadyPumpTest.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-11-05T15:51:52.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-11-05T15:51:46.000Z","updated_at":"2026-02-12T14:11:09.000Z","published_at":"2023-11-05T15:51:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and radius of influence \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e measured at distances \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the well, the input will include the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in the absence of pumping, and a variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from a curve fit to either the drawdown or piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h = H - s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh = H-s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConservation of mass for steady flow says that the flow past any cylinder of radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e centered on the well has to be equal to the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then if the flow is defined as positive toward the well (i.e., in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"-r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e-r\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e direction), Darcy’s law states\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0 = K(dh/dr)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = K \\\\frac{dh}{dr} A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the confined aquifer and the (variable) thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(R) = H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(R) = H\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eone can determine an expression for the drawdown for the confined aquifer or piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55825,"title":"Measure the hydraulic conductivity with a constant-head permeameter","description":"A constant-head permeameter is a device for measuring the hydraulic conductivity of a soil sample. In this problem the sample is placed in a cylinder of length and cross-sectional area . By supplying a flow to a standpipe, water is maintained at a constant level so that the head difference , or the difference in water levels between the standpipe and outlet, is constant. \r\nThe hydraulic conductivity can then be determined from Darcy’s law\r\n\r\nwhere the head gradient is simply . Darcy’s law applies when a Reynolds number based on the specific discharge and representative diameter of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere is the kinematic viscosity of the fluid.\r\nThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\r\n\r\nwhere is the acceleration of gravity and is the porosity of the soil \r\nWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use and .\r\n\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 838.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.2px; transform-origin: 407px 419.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.342px 8px; transform-origin: 256.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.958px 8px; transform-origin: 113.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.7333px 8px; transform-origin: 65.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. By supplying a flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.8417px 8px; transform-origin: 75.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah\" style=\"width: 21.5px; height: 18px;\" width=\"21.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188.533px 8px; transform-origin: 188.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference in water levels between the standpipe and outlet, is constant. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.533px 8px; transform-origin: 209.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.4167px 8px; transform-origin: 77.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"dh/dx\" style=\"width: 39.5px; height: 18.5px;\" width=\"39.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.725px 8px; transform-origin: 30.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is simply \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah/L\" style=\"width: 38.5px; height: 18.5px;\" width=\"38.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 214.6px 8px; transform-origin: 214.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91.025px 8px; transform-origin: 91.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.417px 8px; transform-origin: 175.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.733px 8px; transform-origin: 114.733px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 371.492px 8px; transform-origin: 371.492px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.1px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.55px; text-align: left; transform-origin: 384px 18.55px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K = (gd^2/(180nu))(n^3/(1-n)^2)\" style=\"width: 114px; height: 37px;\" width=\"114\" height=\"37\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eg\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.242px 8px; transform-origin: 104.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the acceleration of gravity and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 78.95px 8px; transform-origin: 78.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the porosity of the soil \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 363.683px 8px; transform-origin: 363.683px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 9.81 m/s^2\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"nu = 10^{-6} m^2/s\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 338.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 169.35px; text-align: left; transform-origin: 384px 169.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 494px;height: 333px\" 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\" 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margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = CHP(Q,L,D,dh,n)\r\n K = f(Q,L,D,dh);\r\n isDLvalid = true;","test_suite":"%% Coarse sand #1\r\nQ = 8.92e-6; % Flow (m3/s) \r\nL = 0.1; % Sample length (m)\r\nD = 0.05; % Diameter of cylinder holding sample (m)\r\ndh = 0.3; % Head difference (m)\r\nn = 0.25; % Porosity\r\nK_correct = 1.51e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #1--larger cylinder area\r\nQ = 3.57e-5; % Flow (m3/s) \r\nL = 0.1; % Sample length (m)\r\nD = 0.1; % Diameter of cylinder holding sample (m)\r\ndh = 0.3; % Head difference (m)\r\nn = 0.25; % Porosity\r\nK_correct = 1.51e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #2\r\nQ = 2.44e-5; % Flow (m3/s) \r\nL = 0.1; % Sample length (m)\r\nD = 0.08; % Diameter of cylinder holding sample (m)\r\ndh = 0.05; % Head difference (m)\r\nn = 0.4; % Porosity\r\nK_correct = 9.69e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1\r\nQ = 1.52e-5; % Flow (m3/s) \r\nL = 0.08; % Sample length (m)\r\nD = 0.08; % Diameter of cylinder holding sample (m)\r\ndh = 0.1; % Head difference (m)\r\nn = 0.4; % Porosity\r\nK_correct = 2.42e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1--reduced head difference\r\nQ = 7.61e-6; % Flow (m3/s) \r\nL = 0.08; % Sample length (m)\r\nD = 0.08; % Diameter of cylinder holding sample (m)\r\ndh = 0.05; % Head difference (m)\r\nn = 0.4; % Porosity\r\nK_correct = 2.42e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Medium sand #2\r\nQ = 7.08e-7; % Flow (m3/s) \r\nL = 0.1; % Sample length (m)\r\nD = 0.05; % Diameter of cylinder holding sample (m)\r\ndh = 0.3; % Head difference (m)\r\nn = 0.3; % Porosity\r\nK_correct = 1.2e-4; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Fine sand \r\nQ = 3.57e-7; % Flow (m3/s) \r\nL = 0.075; % Sample length (m)\r\nD = 0.075; % Diameter of cylinder holding sample (m)\r\ndh = 0.4; % Head difference (m)\r\nn = 0.25; % Porosity\r\nK_correct = 1.51e-5; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Silt \r\nQ = 1.17e-7; % Flow (m3/s) \r\nL = 0.05; % Sample length (m)\r\nD = 0.08; % Diameter of cylinder holding sample (m)\r\ndh = 0.3; % Head difference (m)\r\nn = 0.4; % Porosity\r\nK_correct = 3.88e-6; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nfiletext = fileread('CHP.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-08-18T23:24:39.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-17T14:41:04.000Z","updated_at":"2025-12-01T14:29:21.000Z","published_at":"2022-09-17T14:42:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. By supplying a flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference in water levels between the standpipe and outlet, is constant. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere the head gradient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is simply \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah/L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h/L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K = (gd^2/(180nu))(n^3/(1-n)^2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK = \\\\frac{g d^2}{180 \\\\nu}\\\\frac{n^3}{(1-n)^2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the acceleration of gravity and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the porosity of the soil \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 9.81 m/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 9.81\\\\rm\\\\,m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-6} m^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 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the maximum length of a contaminant plume in groundwater","description":"Problem statement \r\nWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of , and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s maximum contaminant level, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity , the magnitude of the head gradient , effective porosity , bulk density , and soil organic fraction . Along with the MCLs, the properties of the contaminants provided to the function are the half life and the octanol-water partition coefficient .\r\nCompute the longitudinal dispersion coefficient as , where is the average linear velocity and is the longitudinal dispersivity. The variable aL will be specified as either a number or ‘X\u0026E’. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026 Eckstein (1995):\r\n\r\nwhere is in meters if the flow length is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\r\nBackground\r\nContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration of the contaminant in time and spatial coordinate can be computed with\r\n\r\nThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where . Retardation is included in the retardation coefficient . The maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a second-order linear ordinary differential equation with constant coefficients, which can be solved with the boundary conditions and . ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 605.9px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 302.95px; transform-origin: 407px 302.95px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.95px 8px; transform-origin: 64.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 151px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 75.5px; text-align: left; transform-origin: 384px 75.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 350.983px 8px; transform-origin: 350.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"20\" alt=\"C0\" style=\"width: 18px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.525px 8px; transform-origin: 157.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.epa.gov/ground-water-and-drinking-water/national-primary-drinking-water-regulations\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003emaximum contaminant level\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 325.967px 8px; transform-origin: 325.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.358px 8px; transform-origin: 114.358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the magnitude of the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49.5\" height=\"18.5\" alt=\"|dh/dx|\" style=\"width: 49.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.2083px 8px; transform-origin: 58.2083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, effective porosity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"ne\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, bulk density \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"rhob\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.125px 8px; transform-origin: 29.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and soil organic fraction \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17.5\" height=\"20\" alt=\"phio\" style=\"width: 17.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.217px 8px; transform-origin: 302.217px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Along with the MCLs, the properties of the contaminants provided to the function are the half life \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"26.5\" height=\"20\" alt=\"T_1/2\" style=\"width: 26.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the octanol-water partition coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"22.5\" height=\"20\" alt=\"Koc\" style=\"width: 22.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 155.875px 8px; transform-origin: 155.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the longitudinal dispersion coefficient as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65.5\" height=\"20\" alt=\"DL = aLvL\" style=\"width: 65.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.8917px 8px; transform-origin: 24.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPcAAAAoCAYAAAAi5GypAAALUklEQVR4Xu2dS6guRxHH791HNLpKEHOIWSjEB0hMUAwagoIoLsQHKuEsgppAyMYElBAuLlTUICL4woWIxJuAkWAQdGEuisEnKAnoQsONSFwZlbjX+sn3h6LTM139ON+Z79ADxT3nzExPdXX9q6qrauaePzePKYEpgTMpgfNnclZzUlMCUwLnJrinEuxLAjfYgx41unpfDzzjz/mxze8HRl9fmucE9+FrwCdtCp89gGm83XhEIQ9V5+D/n0a/2Yisf2l8/Mzo3gnu/hUBRN8weq5/qGEjfNxG+oLRi4aNWB6oVckPHdzPmmi+siFDOsFd1tXQFQ/ZVY+vhUChUcZfhCe8bPSx8UMvjvhSO/M9o9WQMHP3IYObLcWvjV62IeM+wT1A6QH27zdksTUlQPYPozca7TtU5Nm/MPpyhcE7CXB/wJ7/W6O/ZNYZHl85SDZEbEdG7xigT2s81ww/wV0jrcy1n7e/3Wx0U2EcwuO3Gb3T6Ap37X/s5weNfmqEkUDZ8LIfMbrKXfcr+5lkU83emW3CXUanlaACPE8ZvScIoBHgRs7HRi82epXR342uN2KrJNm+zn5+zU6+yLW0doWl/f/p543uMVpMXq0MssZz5NlL10xwd0hPynidjZHzDLmhsfAf3Z0A2O81+knmQn/dp+x8y17+j3bfD40WEyodc4/eioG5zejVgRtGgJvHKGLhZ2SbelMMMkDkIB/RKx887beMrjFqzbeUeA6I7wWXTHC3SG13D8J7xojFjR4etDnFYxws+deM1sBfeh5e6s9GNYanNGbreRJN3w2AaBS44fO/O2YxjGm0I/lyyYgtCxEXR40e5GS5xnOL7Ce4W6Rm97R4bR6FoivcvsN+TsM4KR7h4oeNohFBOg2807uNIh6zUQTh2+CFuZYy9qPArXFgMGfcAOP7jXzIHp5MciEeFwN/u5FA3jJWieeWMSe4W6Rm95CFfkUleORN9chU8aR037QLCGdbQzwZkU9njEfjdLtu07xzxswPPArcio7+ZIO/OSNH9sfkPR426vW2GOP7jXrzGiWeWxZggrtBatofAcKaEpMPB73iUUb5jtHLjVqTMn4aWyzLELE8abSWTR4FbnINJNNy4JVskFfJ2ERUY1SpcY3nCB+5aya4GySHtb9o9EGjmlAMRUCBOaR4ajL5m/3tbqNccq2WRXh6SQFItWP2Xs/c32S0FpqPALePjnLgJSL6zG4yvfkIPat3317iuVX21eDG8r3PiHIC5YYbjXKTkyXKJTRamd3Kfcq24oVqwKhwkHmgeJTG2PsBdOTUur9O5cJz1vaArOG1Rm8woozH9uJ4NxeiEpJ5KtmNCF3hTzJbA1QtuAEFQH2t0b93+kgEJPDmGkpkYImclI9gnK8ayfBGPXpNJUBrVMMz16IfbzXCMLKV8PJjHemIA4O5daoGt5iU9+L3HIAFbs6fRNeOT0CIp5Z/W4yPFKSmB9qHg/BJMofEGouCMvXsr/28VZZZ85Ao5ZGRSnJKLKFM1Nt/ZARgCG05ao1Ybh0iBrEG3NqjesPovbIHr+dHGWltqbRnpmSIodOcI2uLjmNMor0HtTzD29NGGGIMLodAjD6xVkR88JzLLzSDmwcp85uzGmpgwKLmkho5Baj522mCG6FhLSMKoDl5xUvnOdL4YXj+ZRRJFEnRWb8vGtEkc2xENOJrwb1hJ/PVeq15xQi40SuMT85beZ3I1a/9eQwWoGErRB2eDj4lNClBlmrWMtaR0L6HZ+mKnKVATPffhR3P8IJzSCO/LnBLGEtWEoZ4K6Um6VQD8NO6tgXcugeeUTzKVPIStYm5pXnXtJt6RSd3gKJIWRjfr+0I46znrTWNRMCtqIlSIVsHH/Gk4E23TDJY6h/4tt3/FgcKbZuW9NnLvabdtIdnPTPtj/iDnSg133SB21v31PsQ4tFv/fqMRTktUI56bgu45SXhQRljFl1HxAOU+K8py3hFf8IGvmzkjfDo7O0IcHuebzF+0355nV+qX2tOGAafZ0CuftsUMbZErZFSYy/PWnO/Dc4ZtpxudIHbPzBVzpoSAR4HxaIHmZphTZKqpPAncb4W3F5OPuTz3nypW62G/5p2U58TSZXFZ29rKwJL/EYqDGueW86CpNIS+CTPnCx9eyc8phGE3zaVcgzRdtNenr0sPf8R48O9XeBOQzvfhnfBBo+Ec6rxkphg7/eY0Ra6qtZApZA1uuf2IZV/USFtaikp1RpPNe2mqaKne2rV4yN7z6jx6U2oeRnmcgBelrkkacnzKXSOzDnabtrLcypb5biijqAL3D6UkYWveRNIGT9KF2Qc+f0TRpFk0Gkm1CKK6hfGe8lU8WQouD6y11sCU027qW+myXkB8eQNURTEa/zRoLOWPFzz3H4/nHMafou41nIKf7loROOXgFPTbtrLs5elnx9/jziWLnDzEO0lyYLieaPv8MoI/NzuUSkI63mfUeTd49MEdyTzq4VJvXPqdaQseg00WmPNWfXoV0C8Qcl5QSllS5lwCdwoGvvctTbNJXB7GeYqMz78XWo5ldfLna/pWlPTUalPfgTPkiVy+b4RTlA1/EiUNwzceIAjo0tGkbqfFptsJd+d4ssdDxhtfb8tgQOAB41KlQDvJZcSPd4qExaWFCcFUG27qcCb88xe0QV8wsvSPJdA7eVFCWstKlsCtzfkuUjD5y4Efu650ghD5oGWy9Zrv62QHJ7R4dyco7mkXp4lNxl/Xg3moxN8fIPDzwP+c5gbBu70gbnFRnHwylJmGKTL7cjokIDN3FAaDFPphQHvJZdCvtR7175jXFOW8eDNeeb0BQaaJ3jrKVd2AahkrWl1pba+ZACk6CVvE/Hc3iCpm47ncy8Hkc/vjMjhvMuI2q83sLlIRfttrQ+g+NJujb0e15QavUGp5Zl74RunRyTsG2V8xp+PTKBfS+szDNyRTitArS+M4MXoCiLcOBRv7Rc6orApaNdaOb334Tk1pbGar4CUeqvFB16MEhmgTTvolAT9q5270whlBCBLW4qoIVzbc6eVBeq86BLbukeMLu4WJ1fmEniXIidFMpzn5ZZLRjlPiOxqvmzTwjMtwQq9WQOiHS9/n6SDX7+t9frJz93grm3B43refsrVKVPmtv47wlv6WIM3ZH4ehJXeoHEd3VD0EKdHem1OHpF2U3+fFG5pb6qsMoqF1/6ckW8U8W2PSmwBXhpKcmtak4AqlcJ8/zf86/tsyt+wnQEMaZ9+6RVPyQSwrNWua3U97VmP8Kz1VMkPg+Llz5gAmtZl9CM9n6713j5trPAoWqfbOriVyFn6VNI++I+WZUbxosSUQmyME55l6UUVPA0vGUW+U7YG7lH8t45TU2psfcbo+7o9dw1DKAaHPlhXc+9Wr8Vg0Z8cqemPnoP2gKW97Kjn+vo3yUT2ukQuADj3RpuyvKU+bfG3ZXDXGKlR8u4dZ2/gVrjnkziEeLcaRbLrvRM9yfsVWkfq8yP5AGwjvgIS5UnJwUjkVdPvcAjgxjFF2k2jstzHdXsDN5bvQ0ay4noXtec7YfsQUPQZAI33s/cJcBaPxFJvmSo6R+1N08QZQKbsJO+tt6BIPkV6FrYObkUUI9/ei8q857q9gZuMpb45dtaA7ZWTWuSod7PXFvY09oDKtPtkHEbt2MgDGTC0yGGr/xHgvvMaPYD294K5vfxHgFo4yl8chLKjvjwyShiHNA5Ai34PfOS80lIMnyxOM+ojn7eFsUpfttkCj008RHpYmwaeN3VJAO+4pf9RsmsyG795qQNs42yX2ZvgLstoXjElcJASmOA+yGWbTE8JlCUwwV2W0bxiSuAgJTDBfZDLNpmeEihLYIK7LKN5xZTAQUpggvsgl20yPSVQlsD/AKlIdVYibdHVAAAAAElFTkSuQmCC\" width=\"123.5\" height=\"20\" alt=\"vL = (K/ne)|dh/dx|\" style=\"width: 123.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105.808px 8px; transform-origin: 105.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the average linear velocity and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAoCAYAAACb3CikAAACGElEQVRYR+1WK0sFQRS+t5u0GRTUYLCKQawKFpuKQUw+kogo6A9Q8BFMPhCDwVezCBoFwUexadBgMimIdv0+OGcZh5md3Xvvwg0z8LG7dx7nO+d858wtl+pklOuERykSsTMRIxIjEqrOqJGokaiRUAQq1Ug/Ns4DLcCX4ADPOaAHGACu8ho314fKtxGLjwESWQZ2gU+gG7iXg37wbJXfK+aSRoQkboBOIbFqWfmVb0aCEalq+IiYJPZgYcphRYkwUjbJ3KR8RC4lHe94djnCzlRxDUcH8JrbsrXBRcQ04vOWWpkEnoHeavVBTi4it/idleCLBtP2BjQAZ8CIIxrtks4FmaOgj4B94MEVPZsID3iRhT4ja5hXAzN430lJy7cQ9uks2WoTmcbMtsy6jJDooxzOZU0paTGdCvYZm4jp7SiMnBreaiWxoTF1qg8abLPWcps6xRT3AamCTouIKVQlcYgDxwH2FqZuAzgHhhy5pxPDQKY+YxMxhUivmFuOMWAFYL/Q/kFPOSbEmHwmD9VHpj7jK98t8ZpqvxDPVe3aY+jppoeEeQVk6jOhu8b2Muv3kkSQUWvOsqkoItqLgmWrJIsgQp19iAG78tQuU8eRNLciiLDTngBpZfuE+VlTX0UQ0bJ16YPRYsNkX/l3mdaSCI2wb6wDvIc47oBreeefp0GZ45pFU8S1JJKlOLxrIhE7NDEiMSKhkvoDUHNpKZCsq0AAAAAASUVORK5CYII=\" width=\"17\" height=\"20\" alt=\"aL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 136.417px 8px; transform-origin: 136.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the longitudinal dispersivity. The variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eaL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 121.367px 8px; transform-origin: 121.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be specified as either a number or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.25px 8px; transform-origin: 19.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e‘X\u0026amp;E’\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88.275px 8px; transform-origin: 88.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026amp; Eckstein (1995):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"138.5\" height=\"21\" alt=\"aL = 0.83(log10(L))^2.414\" style=\"width: 138.5px; height: 21px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"aL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.175px 8px; transform-origin: 92.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is in meters if the flow length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 250.083px 8px; transform-origin: 250.083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.15px 8px; transform-origin: 383.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eC\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.0083px 8px; transform-origin: 84.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the contaminant in time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.3583px 8px; transform-origin: 72.3583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and spatial coordinate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.1667px 8px; transform-origin: 15.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be computed with\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 39.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.95px; text-align: left; transform-origin: 384px 19.95px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"170\" height=\"40\" alt=\"dC/dt + (vL/R)dC/dx = (DL/R) d^2C/dx^2 - lam C\" style=\"width: 170px; height: 40px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 108px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 54px; text-align: left; transform-origin: 384px 54px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.05px 8px; transform-origin: 311.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"81.5\" height=\"20\" alt=\"lam = ln(2)/T_1/2\" style=\"width: 81.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Retardation is included in the retardation coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"122\" height=\"20\" alt=\"R = 1+rhobKoc phio/ne\" style=\"width: 122px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 151.317px 8px; transform-origin: 151.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51387\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003esecond-order linear ordinary differential equation with constant coefficients\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which can be solved with the boundary conditions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"67.5\" height=\"20\" alt=\"C(0) = C0\" style=\"width: 67.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"66\" height=\"18.5\" alt=\"C(infinity) = 0\" style=\"width: 66px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Lp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\n% See the text suite for the definitions of the parameters\r\n v = K*dhdx/ne;\r\n Lp = (C0-Clim)/v;\r\nend","test_suite":"%% Dieldrin and styrene\r\nC0 = [1 15]; % Source concentrations (mg/L)\r\nClim = [2e-4 0.1]; % Maximum contaminant levels (mg/L)\r\nK = 87.5; % Hydraulic conductivity (m/d)\r\ndhdx = 0.002; % Magnitude of the hydraulic gradient \r\nne = 0.25; % Effective porosity\r\nrhob = 2.5; % Bulk density (g/cm3)\r\nphio = 0.005; % Soil organic fraction\r\nKoc = [25120 380]; % Octanol-water partition coefficient (mL/g)\r\naL = 'X\u0026E'; % Dispersivity method\r\nTh = [1825 182]; % Half lives (d)\r\nLp_correct = [20.76 58.95];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Benzene, toluene, ethylbenzene, and p-xylene\r\nC0 = 30; % Source concentration (mg/L)\r\nClim = [0.005 1 0.7 10]; % Maximum contaminant levels (mg/L)\r\nK = 11; % Hydraulic conductivity (m/d)\r\ndhdx = 0.04; % Magnitude of the hydraulic gradient \r\nne = 0.22; % Effective porosity\r\nrhob = 2; % Bulk density (g/cm3)\r\nphio = 0.005; % Soil organic fraction\r\nKoc = [97 242 622 552]; % Octanol-water partition coefficient (mL/g)\r\naL = 'X\u0026E'; % Dispersivity method\r\nTh = [300 20 120 190]; % Half lives (d)\r\nLp_correct = [1501.21 20.69 54.12 24.98];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Glyphosate\r\nC0 = 13.9; % Source concentrations (mg/L)\r\nClim = 0.7; % Maximum contaminant level (mg/L)\r\nK = 30; % Hydraulic conductivity (m/d)\r\ndhdx = 0.0005; % Magnitude of the hydraulic gradient \r\nne = 0.18; % Effective porosity\r\nrhob = 1.9; % Bulk density (g/cm3)\r\nphio = 0.001; % Soil organic fraction\r\nKoc = 4e-5; % Octanol-water partition coefficient (mL/g)\r\naL = 2.8; % Dispersivity method\r\nTh = 300; % Half life (d)\r\nLp_correct = 115.59;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% 1,4-dioxane\r\nC0 = 10; % Source concentrations (mg/L)\r\nClim = 3e-4; % Limit set by Massachusetts (mg/L)\r\nK = 7.77; % Hydraulic conductivity (m/d)\r\ndhdx = 0.01; % Magnitude of the hydraulic gradient \r\nne = 0.21; % Effective porosity\r\nrhob = 1.8; % Bulk density (g/cm3)\r\nphio = 0.003; % Soil organic fraction\r\nKoc = 1; % Octanol-water partition coefficient (mL/g)\r\naL = 3; % Dispersivity method\r\nTh = 1; % Half life (d)\r\nLp_correct = 16;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Benzene\r\nC0 = 2; % Source concentrations (mg/L)\r\nClim = 0.005; % Maximum contaminant level (mg/L)\r\nK = 11; % Hydraulic conductivity (m/d)\r\ndhdx = 0.0035; % Magnitude of the hydraulic gradient \r\nne = 0.1; % Effective porosity\r\nrhob = 1.7; % Bulk density (g/cm3)\r\nphio = 0.002; % Soil organic fraction\r\nKoc = 97; % Octanol-water partition coefficient (mL/g)\r\naL = 6; % Dispersivity method\r\nTh = 300; % Half life (d)\r\nLp_correct = 263.93;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% p-xylene\r\nC0 = 200; % Source concentrations (mg/L)\r\nClim = 10; % Maximum contaminant level (mg/L)\r\nK = 11; % Hydraulic conductivity (m/d)\r\ndhdx = 0.0035; % Magnitude of the hydraulic gradient \r\nne = 0.1; % Effective porosity\r\nrhob = 1.7; % Bulk density (g/cm3)\r\nphio = 0.002; % Soil organic fraction\r\nKoc = 552; % Octanol-water partition coefficient (mL/g)\r\naL = 6; % Dispersivity method\r\nTh = 190; % Half life (d)\r\nLp_correct = 26.74;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Ethylbenzene\r\nC0 = 100; % Source concentrations (mg/L)\r\nClim = 0.7; % Maximum contaminant level (mg/L)\r\nK = 11; % Hydraulic conductivity (m/d)\r\ndhdx = 0.0035; % Magnitude of the hydraulic gradient \r\nne = 0.1; % Effective porosity\r\nrhob = 1.7; % Bulk density (g/cm3)\r\nphio = 0.002; % Soil organic fraction\r\nKoc = 622; % Octanol-water partition coefficient (mL/g)\r\naL = 6; % Dispersivity method\r\nTh = 120; % Half life (d)\r\nLp_correct = 29.83;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Nastene, phylthene, siccanol (fictitious chemicals)\r\nC0 = [10 10 20]; % Source concentrations (mg/L)\r\nClim = [1 2 0.1]; % Limits (mg/L)\r\nK = 0.2; % Hydraulic conductivity (m/d)\r\ndhdx = 0.008; % Magnitude of the hydraulic gradient \r\nne = 0.08; % Effective porosity\r\nrhob = 2; % Bulk density (g/cm3)\r\nphio = 0.003; % Soil organic fraction\r\nKoc = [15 80 2]; % Octanol-water partition coefficient (mL/g)\r\naL = 2; % Dispersivity method\r\nTh = [30 100 475]; % Half lives (d)\r\nLp_correct = [2.6 1.83 72.39];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-01T15:59:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-01T15:47:36.000Z","updated_at":"2026-02-12T14:03:58.000Z","published_at":"2023-10-01T15:59:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.epa.gov/ground-water-and-drinking-water/national-primary-drinking-water-regulations\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emaximum contaminant level\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the magnitude of the head gradient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"|dh/dx|\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e|dh/dx|\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, effective porosity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ne\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, bulk density \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rhob\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rho_b\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and soil organic fraction \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"phio\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\phi_o\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Along with the MCLs, the properties of the contaminants provided to the function are the half life \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T_1/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT_{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the octanol-water partition coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Koc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{oc}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the longitudinal dispersion coefficient as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"DL = aLvL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_L = a_L v_\\\\ell\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vL = (K/ne)|dh/dx|\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev_\\\\ell = (K/n_e)|dh/dx|\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the average linear velocity and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the longitudinal dispersivity. The variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eaL\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e will be specified as either a number or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e‘X\u0026amp;E’\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026amp; Eckstein (1995):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL = 0.83(log10(L))^2.414\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L = 0.83(\\\\log_{10}L)^{2.414}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is in meters if the flow length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the contaminant in time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and spatial coordinate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be computed with\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dC/dt + (vL/R)dC/dx = (DL/R) d^2C/dx^2 - lam C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{\\\\partial C}{\\\\partial t}+\\\\frac{v_\\\\ell}{R}\\\\frac{\\\\partial C}{\\\\partial x}=\\\\frac{D_L}{R}\\\\frac{\\\\partial^2 C}{\\\\partial x^2} - \\\\lambda C\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"lam = ln(2)/T_1/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\lambda = \\\\ln2/T_{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Retardation is included in the retardation coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R = 1+rhobKoc phio/ne\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR = 1+\\\\rho_b K_{oc} \\\\phi_o/n_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51387\\\"\u003e\u003cw:r\u003e\u003cw:t\u003esecond-order linear ordinary differential equation with constant coefficients\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, which can be solved with the boundary conditions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(0) = C0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(0) = C_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(infinity) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(\\\\infty) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59002,"title":"Compute piezometric head in a leaky confined aquifer","description":"Problem statement\r\nWrite a function to compute the piezometric head in a leaky confined aquifer and the position of a groundwater divide given the boundary heads at and at and head (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are and , and the hydraulic conductivity and thickness of the leaking confining layer are and . If there is no groundwater divide, set xd to the empty set []. \r\nBackground\r\nAs in other problems in this series, the movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is , and the flow out of the right side is . If is the specific discharge through the leaky confining layer, the flow into the volume through the top is . Then the mass (or volume) balance is\r\n\r\nRearranging, dividing by , and taking the limit as goes to zero gives\r\n\r\nDarcy’s law allows the specific discharge through the aquifer to be written as and the specific discharge through the leaky confining layer to be approximated as . Then \r\n\r\nOne can solve this second-order linear ordinary differential equation using the boundary heads to get the piezometric head in the aquifer. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 939.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 469.55px; transform-origin: 407px 469.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 153.9px 8px; transform-origin: 153.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.233px 8px; transform-origin: 211.233px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a leaky confined aquifer and the position of a groundwater divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"xd\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e given the boundary heads \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"hL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.0667px 8px; transform-origin: 33.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 164.933px 8px; transform-origin: 164.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.125px 8px; transform-origin: 59.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the hydraulic conductivity and thickness of the leaking confining layer are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"18\" alt=\"K'\" style=\"width: 19px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"18\" alt=\"b'\" style=\"width: 15px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 118.625px 8px; transform-origin: 118.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If there is no groundwater divide, set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003exd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the empty set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 126px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 63px; text-align: left; transform-origin: 384px 63px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58997\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eother\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eproblems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ein\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56205\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eseries\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 264.883px 8px; transform-origin: 264.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.2417px 8px; transform-origin: 97.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"27\" height=\"18\" alt=\"vbw\" style=\"width: 27px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.008px 8px; transform-origin: 112.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the flow out of the right side is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"73\" height=\"18.5\" alt=\"(v+Deltav)bw\" style=\"width: 73px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 8px; transform-origin: 9.70833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14\" height=\"18\" alt=\"v'\" style=\"width: 14px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.825px 8px; transform-origin: 18.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the specific discharge through the leaky confining layer, the flow into the volume through the top is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFUAAAAkCAYAAAD4i3Y+AAAETElEQVRoQ+2YTYhPURjGZ/ZErFhIWFCKjY+IJFFSFvKRrH2sZEGxmhXFQrJgZCELoSxsFAuJyNeCUiwQEisk9jy/6b7TO2fuuff8Z+65M3JvPc1/7j33Pe95zvN+nNvf112NM9DfuMXOYF9HagYRdKR2pGZgIIPJTqn/CKkz5Oc54YVwIoPPk95kDqXuL0h9o7+LJpiBL5r/bNubm4PU21rERuFY24sJNhAf8OW3MLXNzW2aVEL/m/BVWCx8b3MxwVyP9f+K4t4u/b3Wli9Nk7pTjl+dBCqdLx/eOhJbTUVNk4oa1kwCleLH5oLUKW2rtWlSf2kBh4XzbYVayTyWgi7o2c/CH4Y9EVa24VeTpC6Tw5eFia74J+XDAWFpQaBPA8t171luYkNSIWa7sESYJpDoyxx5rfsLg9xJtZ0XUSnPNghrhTkC1ThWkQndsMclR3KPUK4qOqj0o/BI2FSQh70dxe877n4dt8zJe+uEVcXcC/T3XfEiXNGuwdF1gXoydMWUagWHMWWtkZHK85lCapVHRaQHrrLNsnkJ3X1u1Z7UqqJDj3xK2CZAIBeLf+pseWLc7VE/sfVeQCgcZriMPGzeFT4LiAufVgtDPFSFP43zLGfIz4oiXgnkrGFjVR6WLDBUnKkMNYakenJGqCKYE5/xKUxBvr0qs13nuonIyHuoFwYEogCCIdMUXEmqhU1MGUx0X/CKqnOO53+KQeHiaNQtzMrmtAIUy4um8rL04COP6XuJLsYPCnsLv4mAl8KR2GKrlOpDNXTCwpFiMLxDKYxqTFkEsOhDhbM4X0Yq/pDrLVeG06FG6kCsUNq8vNerWv2m0EXQrkVTXhWp3lCYh1DVhzGolAVZKBpxFvbr9YwiSc7lRDbbscYmPhDogcs20fJm1dHYvklgttejq0VJ0oZUkWpnZwz5kILsAaGXXOpVZd8GjFS/QX7hPjrYiEtCrP9NPXTQR9thoNdvE6b02g6iilRfNY1UK1Bb5dxY+z2fVrB7WrDvBH4jjVTy2XSB3rMs5OxImhLSfu5e1OrfQyCV/X1d829FhQVRdal6ZyoU4xUZ+x066KPAk0rupJ05KGyJhD1zQPpuISW/+zAOIzDmLz7dEI4XYBy+Wcs26r1UUlHBXOGeMN4Pz57UMOn7RdNv7hGqosLy8RWNS+1C/GGg7kOL2afvfS7wBY4L36z6Hw05SSU1NBTb1ZT7dQcAi45aRWgAC0JBFLZPKZNrDB0CDbtdYQuGMimGPwQik6O3Ccn6VfuOwAZxghvRXqWSSujHclriWoaHWYjHmngrJimFxLdJvfph4/2HFtsknpFzbwXr9v0qG0lHMoqXOlLZGb9TY3Xcvwep5OVYnqTS33TqiM3pO4Xx+mUHCjqbi4Kd6iDZF0dr7ThpkhLD50N+1JE6Xmf/y/c7UjNse0dqR2oGBjKY7JTakZqBgQwmO6V2pGZgIIPJTqkZSP0LKoAENMGsde4AAAAASUVORK5CYII=\" width=\"42.5\" height=\"18\" alt=\"v'wDeltax\" style=\"width: 42.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62.6083px 8px; transform-origin: 62.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then the mass (or volume) balance is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"316.5\" height=\"18.5\" alt=\"0 = vbw - (v+Deltav)bw + v'wDeltax = -bwDeltav + v'wDeltax\" style=\"width: 316.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.425px 8px; transform-origin: 77.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eRearranging, dividing by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"38.5\" height=\"18\" style=\"width: 38.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.5083px 8px; transform-origin: 73.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and taking the limit as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACsAAAAkCAYAAAAQC8MVAAACeUlEQVRYR+2WvS8EQRjG73oiodKiIFFofIRIVCRaCeIP8PEHkFCpSCgVQlQKQaKVUGiE+GpUFEiIUCHCH+B5LvPKa292Z3ZlL3fJbvLk9m5n5n7zzLvPTD5XQVe+glhzGWxaq5U5mzkLB5KWwQv6rkCLabloGzcJbD8GOoC+oepyhz0DYKeBHMXnTqmA4zrbCLA7BXeL+5ZyhaWLgwauqtTuxnG2FnBv0Dr0CU0b2HN8dpXC3TiwSwCagtoMmC6HDvx2mTawLyxdfYROoQEDxZIYNveH6ncXM+ue/fqgbojl1ATdm47t+GQs8iXehUZkQF/YSXRYhoYggvHioBeKTP9hFDDHeoAaoFXTUKA45hH0DDVDfIF7oHe284XlJsA6Db75OsZYyxNRlJZnNwGoE3yfh7hqBCekOO4Fy2XYhmyZKs+Eo05c8IReQ7tx05Yrdg3NhPX1cZbu1VhclTHper35EtddPVmmCmOxsOS2ywUrdTmHzmHnANag1F7cLVjikGzOibpgWTu9UKtjeb/wXDaJqInZDJOVcSZKFKxsrc4Zg4AZLJtEHHd1P04k0ryohyz+MYibwO8bGVJOejnZxOeAw9PbHrRgxH7McInGor8Kg5VNYAs9fONIbxKuA46Mz9y+griN82KWSxrM4v7PexIGy4ac8Sv0FOJm8GcmBoNcrqC7dJIr9AExTzcVjOStnDM4ce6Yf2IsDFbHkSdrUTN9wJHJsxFreh/iOUNiSuctDToOPC8MboPVUZQUVPrJAYd5ugExMfjCEl7nKV9mAjKvbc9DYf8LmFp/V86m9sdJBs5gk7jm0ydz1selJG0yZ5O45tOnopz9AeqMeiUHD7ESAAAAAElFTkSuQmCC\" width=\"21.5\" height=\"18\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.7333px 8px; transform-origin: 58.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e goes to zero gives\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"71\" height=\"35\" alt=\"dv/dx - v'/b = 0\" style=\"width: 71px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 238.317px 8px; transform-origin: 238.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law allows the specific discharge through the aquifer to be written as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"98.5\" height=\"18.5\" alt=\"v = -K(dh/dx)\" style=\"width: 98.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.8px 8px; transform-origin: 84.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the specific discharge through the leaky confining layer to be approximated as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"117\" height=\"18.5\" alt=\"v' = K'(H-h)/b'\" style=\"width: 117px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.775px 8px; transform-origin: 21.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"152\" height=\"36.5\" alt=\"K d2h/dx2 + (K'/(bb'))(H-h) = 0\" style=\"width: 152px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.5083px 8px; transform-origin: 59.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne can solve this \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51387\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esecond-order linear ordinary differential equation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 170.767px 8px; transform-origin: 170.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e using the boundary heads to get the piezometric head in the aquifer. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 376.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 188.35px; text-align: left; transform-origin: 384px 188.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"581\" height=\"371\" style=\"vertical-align: baseline;width: 581px;height: 371px\" 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\" alt=\"leaky confined aquifer\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H)\r\n h = H + (hL-h0*(x/L)*sin(Kp*x^2/(Kp*b*bp));\r\n xd = x\r\nend","test_suite":"%%\r\nL = 3300; % Length (m) \r\nx = 1000; % Position where head is desired (m)\r\nh0 = 32; % Piezometric head at x = 0 (m)\r\nhL = 29; % Piezometric head at x = L (m)\r\nH = 39; % Head in unconfined aquifer (m)\r\nK = 12; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 8e-5; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15; % Thickness of aquifer (m)\r\nbp = 2; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = 32.7897;\r\nxd_correct = 1060.65;\r\nassert(abs(h-h_correct)\u003c1e-3)\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 3300; % Length (m) \r\nx = 700:700:2800; % Position where head is desired (m)\r\nh0 = 32; % Piezometric head at x = 0 (m)\r\nhL = 29; % Piezometric head at x = L (m)\r\nH = 39; % Head in unconfined aquifer (m)\r\nK = 12; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 3e-4; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15; % Thickness of aquifer (m)\r\nbp = 2; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [34.6548 35.4741 34.8040 32.3615];\r\nxd_correct = 1433.93;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 2500; % Length (m) \r\nx = 0:500:2500; % Position where head is desired (m)\r\nh0 = 45; % Piezometric head at x = 0 (m)\r\nhL = 42; % Piezometric head at x = L (m)\r\nH = 50; % Head in unconfined aquifer (m)\r\nK = 4; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-5; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 30; % Thickness of aquifer (m)\r\nbp = 3; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [45 44.5664 44.0573 43.4656 42.7830 42];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 2500; % Length (m) \r\nx = 0:500:2500; % Position where head is desired (m)\r\nh0 = 45; % Piezometric head at x = 0 (m)\r\nhL = 42; % Piezometric head at x = L (m)\r\nH = 50; % Head in unconfined aquifer (m)\r\nK = 4; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-4; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 30; % Thickness of aquifer (m)\r\nbp = 3; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [45 45.6796 45.7522 45.2279 44.0331 42];\r\nxd_correct = 811.72;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 3300; % Length (m) \r\nx = 700:700:2900; % Position where head is desired (m)\r\nh0 = 32; % Piezometric head at x = 0 (m)\r\nhL = 29; % Piezometric head at x = L (m)\r\nH = 39; % Head in unconfined aquifer (m)\r\nK = 12; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 3e-4; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15; % Thickness of aquifer (m)\r\nbp = 2; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [34.6548 35.4741 34.8040 32.3615];\r\nxd_correct = 1433.93;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 1000; % Length (m) \r\nx = [130 280 390 560 710 940]; % Position where head is desired (m)\r\nh0 = 34; % Piezometric head at x = 0 (m)\r\nhL = 33; % Piezometric head at x = L (m)\r\nH = 38; % Head in unconfined aquifer (m)\r\nK = 0.5; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-4; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 24; % Thickness of aquifer (m)\r\nbp = 1; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [35.5547 36.4902 36.7941 36.7832 36.2740 34.0536];\r\nxd_correct = 471.73;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nfiletext = fileread('leakyConfAq.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-23T13:55:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-23T13:48:39.000Z","updated_at":"2026-02-12T13:57:58.000Z","published_at":"2023-09-23T13:51:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a leaky confined aquifer and the position of a groundwater divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xd\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e given the boundary heads \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the hydraulic conductivity and thickness of the leaking confining layer are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If there is no groundwater divide, set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to the empty set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58997\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eother\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eproblems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56205\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eseries\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vbw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003evbw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the flow out of the right side is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(v+Deltav)bw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(v+\\\\Delta v)bw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the specific discharge through the leaky confining layer, the flow into the volume through the top is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v'wDeltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime w\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then the mass (or volume) balance is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"0 = vbw - (v+Deltav)bw + v'wDeltax = -bwDeltav + v'wDeltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e0 = vbw - (v+\\\\Delta v)bw+v\\\\prime w\\\\Delta x = -bw\\\\Delta v+v\\\\prime w\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRearranging, dividing by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ebw\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and taking the limit as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e goes to zero gives\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dv/dx - v'/b = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{dv}{dx}-\\\\frac{v\\\\prime}{b} = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDarcy’s law allows the specific discharge through the aquifer to be written as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = -K(dh/dx)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = -K(dh/dx)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the specific discharge through the leaky confining layer to be approximated as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v' = K'(H-h)/b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime = K\\\\prime(H-h)/b\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K d2h/dx2 + (K'/(bb'))(H-h) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\frac{d^2h}{dx^2} + \\\\frac{K\\\\prime}{bb\\\\prime}(H-h) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne can solve this \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51387\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esecond-order linear ordinary differential equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e using the boundary heads to get the piezometric head in the aquifer. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"371\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"581\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"leaky confined aquifer\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59104,"title":"Design a capture zone","description":"One approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \r\nIf the background flow (with flow per unit width* ) is left to right, then the coordinates of a point on the capture zone are given by , where the well is at (0,0) and is the distance to the stagnation point downstream of the well. The distance can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \r\nWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \r\n*Recall that specific discharge is flow per area over which the flow is occurring. Then flow per unit width is , where is the thickness of the confined aquifer. \r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 777.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 388.85px; transform-origin: 407px 388.85px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 360.567px 8px; transform-origin: 360.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 87px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 43.5px; text-align: left; transform-origin: 384px 43.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.808px 8px; transform-origin: 147.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the background flow (with flow per unit width* \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" alt=\"Q'\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.175px 8px; transform-origin: 113.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is left to right, then the coordinates \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43\" height=\"20\" alt=\"(xc, yc)\" style=\"width: 43px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3417px 8px; transform-origin: 79.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a point on the capture zone are given by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"115\" height=\"20\" alt=\"xc = yc/tan(yc/x0)\" style=\"width: 115px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.2917px 8px; transform-origin: 95.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where the well is at (0,0) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x0\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 166.658px 8px; transform-origin: 166.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the distance to the stagnation point downstream of the well. The distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x0\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.633px 8px; transform-origin: 302.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 377.958px 8px; transform-origin: 377.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.3083px 8px; transform-origin: 95.3083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e*Recall that specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 235.325px 8px; transform-origin: 235.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is flow per area over which the flow is occurring. Then flow per unit width is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"51\" height=\"18\" alt=\"Q' = vb\" style=\"width: 51px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.0583px 8px; transform-origin: 23.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 124.458px 8px; transform-origin: 124.458px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the thickness of the confined aquifer. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 477.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 238.85px; text-align: left; transform-origin: 384px 238.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"620\" height=\"472\" style=\"vertical-align: baseline;width: 620px;height: 472px\" 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\" alt=\"Capture zone\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Q0 = captureZone(x,y,Qp)\r\n% x,y = coordinates of contaminated area\r\n% Qp = background flow per unit width\r\n% Q0 = required pumping rate\r\n Q0 = Qp*max(abs(y));\r\nend","test_suite":"%% \r\nx = -100; % x-coordinate of contaminated area (m)\r\ny = 75; % y-coordinate of contaminated area (m)\r\nQp = 2; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 377.3; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx = [-100 -100 -300 -300]; % x-coordinates of contaminated area (m)\r\ny = [75 -75 -75 75]; % y-coordinates of contaminated area (m)\r\nQp = 2; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 377.3; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx = [-100 -100 -200 -300 -300 -200]; % x-coordinates of contaminated area (m)\r\ny = [75 -75 -100 -75 75 100]; % y-coordinates of contaminated area (m)\r\nQp = 2; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 469.3; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2021 exam 2 problem 5\r\nx = [-47.1 -48.9 22.4]; % x-coordinates of contaminated area (m)\r\ny = [10 -10 -30]; % y-coordinates of contaminated area (m) \r\nQp = 0.048; % Background flow per unit width (m2/d) \r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 9.73; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2022 exam 2 problem 3\r\nx = -18.5; % x-coordinate of contaminated area (m)\r\ny = -25; % y-coordinate of contaminated area (m)\r\nQp = 0.45; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 32; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2a problem 5\r\nx = -25; % x-coordinate of contaminated area (m)\r\ny = 60; % y-coordinate of contaminated area (m) \r\nQp = 0.231; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 44.3; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2b problem 5\r\nx = -10; % x-coordinate of contaminated area (m)\r\ny = 20; % y-coordinate of contaminated area (m) \r\nQp = 0.231; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 14.27; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2c problem 5\r\nx = -25; % x-coordinate of contaminated area (m)\r\ny = 20; % y-coordinate of contaminated area (m) \r\nQp = 0.231; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 11.77; % Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx = [15 -50 -100 -45]; % x-coordinates of contaminated area (m)\r\ny = [20 40 32 5]; % y-coordinates of contaminated area (m)\r\nQp = 0.3; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 40.65; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx = [15 -50 -100 -45]; % x-coordinates of contaminated area (m)\r\ny = [20 53 32 5]; % y-coordinates of contaminated area (m)\r\nQp = 0.3; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 42.93; % Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx = 200; % x-coordinate of contaminated area (m)\r\ny = 0; % y-coordinate of contaminated area (m) \r\nQp = 3.6; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 4523.9; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx = [200 110 0 -100 -175 -220 -160 -80 40]; % x-coordinates of contaminated area (m)\r\ny = [ 0 125 300 320 180 40 -195 -280 -250]; % y-coordinates of contaminated area (m) \r\nQp = 0.5; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 628.3; % Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx = [200 110 0 -100 -175 -220 -160 -80 100]; % x-coordinates of contaminated area (m)\r\ny = [ 0 125 300 320 180 40 -195 -280 -250]; % y-coordinates of contaminated area (m) \r\nQp = 0.5; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 659.8; % Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('captureZone.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:16:43.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-14T20:07:58.000Z","updated_at":"2026-02-12T14:46:59.000Z","published_at":"2023-10-14T20:08:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the background flow (with flow per unit width* \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is left to right, then the coordinates \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(xc, yc)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(x_c,y_c)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a point on the capture zone are given by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xc = yc/tan(yc/x0)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_c = y_c/\\\\tan(y_c/x_0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where the well is at (0,0) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the distance to the stagnation point downstream of the well. The distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e*Recall that specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is flow per area over which the flow is occurring. Then flow per unit width is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q' = vb\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\\\\prime = vb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the thickness of the confined aquifer. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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measurement uncertainty","description":"Suppose a variable depends on independent variables , , . If the independent variables have uncertainty , , etc. and the uncertainties are independent, then the uncertainty in can be estimated with \r\n\r\nFor this problem, the relationship between and will be power laws of the form\r\n\r\nFor example, the relationship would have c = 0.5 and a = [1 2]. \r\nWrite a function that takes a vector of values of , the coefficient , exponents , and a vector of uncertainties and returns the absolute uncertainty , relative uncertainty , and the index of the variable that contributes the most to the uncertainty in . Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement. 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display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.8583px 8px; transform-origin: 61.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSuppose a variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.4583px 8px; transform-origin: 40.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e depends on \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.3667px 8px; transform-origin: 72.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e independent variables \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAAoCAYAAAACJPERAAABn0lEQVRYR+2VvS4FQRiGz+lVOlqNCyA0lFyA+ClVfiqVBBeAUCg0iEKJTolaQkKh0lCoVIhwAZ5XZmWy2TEzZ3ezipnkyezZM/O9M+9832y71UBrN6DZSqK1up7sTfZW4kBKpEpsdAX5V/YOsspJGIUheIFea+XTPO9ADyzCXow1rp2uEuQOJmDOBMyCL/B7Gz6N6Cm9FhHcfPZ2E+nVRDugP4QzGIEnGINbeAtWZKBPVLEeoB9k8QcswUWMSH5siOi+ZbF2O19GUHNDRHVex0Zohv7EI6ok3IV71wJDRPuY/GiE1ug3HKIaJxeUcF3gdCVE9JoAKhu1Gxj+Q/Sd/1ZguYzoFpNVq88wZcR8C9WcjkVVDkeg8hiA7FzHeVb2yk69z59xlKhqUkFUdwqoepw1Ana96mLYhCsoKp8o0XOCaHdqX7AOdtJk9ar/VbPK0KKkihLNBhcJSkiloxtJLb8g8/qnixK1J5Z5TqK/7vlqrhObG7E3+0CUugZDd6va1q2l+1l3r6pAN9Ml6Ntbq73eRdZxpkk0nak3ByoZ8A3/t1MpUWxSbAAAAABJRU5ErkJggg==\" width=\"14.5\" height=\"20\" alt=\"x1\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x2\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"56.5\" height=\"20\" alt=\"x3,...,xn\" style=\"width: 56.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145.092px 8px; transform-origin: 145.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If the independent variables have uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"20\" alt=\"Deltax1\" style=\"width: 25.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAoCAYAAABTsMJyAAADGElEQVRoQ+2Yu69NQRTGz+2JoFJTkAgKr0RISJCITuIVxY3CoxBRkFAqSKhE4VEqBJ2SQikelYoCCQUVIvwBvt/NrJt1996zZ+a4d2efmz3Jl3PuPjOz1jdrrW/WvlOjRTSmFhGX0UCmr9EcIjNEpoMTGDfNvsm328L1DnzMNjEOmX3a/ZnwV1iabamDieOQeSW/tgXfjurzcQd+ZpkoJbNau350O3/Q93VZljqYVEqGKBwIfi3pW3RKyKyQ8z+E+8Jv4WIg81qf2zs4+KSJEjI3tNtZYVPY1afbVj17m7S2wBNyyRCVL8JLYX/wiZQ7HL4/d8/bXD6iH/cIu4S1whOBZzbswEjhNcKnEv65ZM5o05vCIQHHGVuEN85YyjjisVf4LFwVTBFtHYezU0DuIUMW3F0IMlyS1ElVubxMU0unM40TjUdhLvK+XJgWTFw2u0PL3HKU9QpghpvuFO8URlcKPzOsm5gwFQFZJhwUitKqaicnzTh9jMXuE6K2KmxcEp33WkPdMObl8k2Rsbq4IoOxPox6uhOcKmlx7mnNqbCuLaJE/4JgNUYkzwk19UyRsaJcn0ifP/rdLtE24j4z/CHEpJ0554Vbwi/hpEBvyEBVTYxmHrSRsdYlJ3WQVLtEc6JjUm8HgFJe8kzDd1IYhfO1RJMLodp10EaGNDgucEmmCtMXNH6kaoA6fCfYfdPUReAwV0FVIU10an1hjIyd3MOGzRoOcOaRv0TbGlCiuFE4JlCHVjfmCyRIqVhHYa8g2ZG5rM2uCd+FrzHvK89RPFMnHx3SFWDcasBk2Es7NQCJB0KbTFut1WozFhkvt5lcatMsdUwcqCWG7yJ8evI7c6cD8ZhdMmCDsEOYc6c1kfEqMy4RW4dK8XqNrBLlJkdNPGK/ex9MlGpKxqSUNP8vmflej3A8FRrvvEkig7oyov3fpJAh9XcLdNLR3m8SyECEWqOj9kQQD9qo2fehvpMx6eYljpdDP07oD3q22f8O9ZkMTe4LwVqeqpigfnN6xj6TKVbCgUzxkXW0YIhMRwddbGaITPGRdbTgHzjSlikiNvWYAAAAAElFTkSuQmCC\" width=\"25.5\" height=\"20\" alt=\"Deltax2\" style=\"width: 25.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.267px 8px; transform-origin: 209.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, etc. and the uncertainties are independent, then the uncertainty in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 71.5667px 8px; transform-origin: 71.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be estimated with \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 50.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 25.4px; text-align: left; transform-origin: 384px 25.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"166\" height=\"51\" alt=\"Deltay = sqrt(sum((dy/dxj Deltaxj)^2))\" style=\"width: 166px; height: 51px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.258px 8px; transform-origin: 132.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor this problem, the relationship between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"xj\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.7417px 8px; transform-origin: 93.7417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be power laws of the form\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 27px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 13.5px; text-align: left; transform-origin: 384px 13.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-8px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"124.5\" height=\"27\" alt=\"y = c x1^a1 x2^a2 x3^a3 ...xn^an\" style=\"width: 124.5px; height: 27px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1917px 8px; transform-origin: 92.1917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, the relationship \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"75\" height=\"35\" alt=\"KE = (1/2)mv^2\" style=\"width: 75px; height: 35px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 8px; transform-origin: 39.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e would have \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.95px 8px; transform-origin: 26.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ec = 0.5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.65px 8px; transform-origin: 34.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ea = [1 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.267px 8px; transform-origin: 147.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes a vector of values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.875px 8px; transform-origin: 48.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ec\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.1167px 8px; transform-origin: 38.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, exponents \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.7333px 8px; transform-origin: 93.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a vector of uncertainties \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" alt=\"Deltax\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and returns the absolute uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" alt=\"Deltay\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.5667px 8px; transform-origin: 64.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, relative uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"37\" height=\"18.5\" alt=\"Deltay/y\" style=\"width: 37px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 190.308px 8px; transform-origin: 190.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the index of the variable that contributes the most to the uncertainty in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 330.225px 8px; transform-origin: 330.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [dy,dyrel,i1] = uncertainty1(x,c,a,dx)\r\n% dy = uncertainty in y\r\n% dyrel = relative uncertainty in y (i.e., dy/y)\r\n% i1 = index of the variable that contributes most to the uncertainty\r\n% x = values of the independent variables\r\n% c = coefficient of the relationship\r\n% a = vector of exponents\r\n% dx = vector of uncertainties\r\n\r\n dy = sqrt(sum((dydx*dx).^2));\r\n dyrel = dy/y;\r\n i1 = find(max(dy));\r\nend","test_suite":"%% Volume of a cylinder: V = (pi/4)*D^2*H\r\nD = 75; % Diameter (mm)\r\ndD = 3; % Diameter uncertainty (mm)\r\nH = 75; % Height (mm)\r\ndH = 3; % Height uncertainty (mm)\r\n[dV,dVrel,i1] = uncertainty1([D H],pi/4,[2 1],[dD dH]);\r\ndV_correct = 2.9636e+04;\r\ndVrel_correct = 0.0894;\r\ni1_correct = 1;\r\nassert(abs(dV-dV_correct)\u003c1)\r\nassert(abs(dVrel-dVrel_correct)\u003c1e-4)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Hydraulic conductivity from constant-head permeameter test: K = VL/TAd\r\nV = 7.54e-5; % Volume (m3)\r\ndV = 1e-6; % Volume uncertainty (m3)\r\nL = 0.1; % Length (m)\r\ndL = 1e-3; % Length uncertainty (m)\r\nT = 1000; % Time (sec)\r\ndT = 1; % Time uncertainty (sec)\r\nA = 1.2657e-3; % Area (m2)\r\ndA = 6.3e-5; % Area uncertainty (m2)\r\nd = 0.05; % Head difference (m)\r\ndd = 1e-3; % Head difference uncertainty (m)\r\n[dK,dKrel,i1] = uncertainty1([V L T A d],1,[1 1 -1 -1 -1],[dV dL dT dA dd]);\r\ndK_correct = 6.691e-6;\r\ndKrel_correct = 0.0562;\r\ni1_correct = 4;\r\nassert(abs(dK-dK_correct)\u003c1e-9)\r\nassert(abs(dKrel-dKrel_correct)\u003c1e-4)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne = 0.1; % Effective porosity\r\ndne = 0.02; % Effective porosity uncertainty \r\nL = 20; % Length (m)\r\ndL = 0.3; % Length uncertainty (m)\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\ndK = 0.08; % Hydraulic conductivity uncertainty (m/d)\r\ndh = 1.5; % Head difference (m)\r\nddh = 0.2; % Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 15.48;\r\ndTrel_correct = 0.290;\r\ni1_correct = 1;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne = 0.1; % Effective porosity\r\ndne = 0.01; % Effective porosity uncertainty \r\nL = 20; % Length (m)\r\ndL = 0.3; % Length uncertainty (m)\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\ndK = 0.08; % Hydraulic conductivity uncertainty (m/d)\r\ndh = 1.5; % Head difference (m)\r\nddh = 0.2; % Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 12.43;\r\ndTrel_correct = 0.233;\r\ni1_correct = 3;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne = 0.1; % Effective porosity\r\ndne = 0.01; % Effective porosity uncertainty \r\nL = 20; % Length (m)\r\ndL = 1.7; % Length uncertainty (m)\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\ndK = 0.08; % Hydraulic conductivity uncertainty (m/d)\r\ndh = 1.5; % Head difference (m)\r\nddh = 0.2; % Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 15.3;\r\ndTrel_correct = 0.287;\r\ni1_correct = 2;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Discharge by Manning's equation: Q = (1/n) R^(2/3) S0^(1/2) A = (1/n) A^(5/3) S0^(1/2)/P^(2/3)\r\nn = 0.015; % Manning roughness coefficient\r\ndn = 0.002; % Manning roughness coefficient uncertainty \r\nA = 0.02; % Area (m2)\r\ndA = 2e-3; % Area uncertainty (m2)\r\nP = 0.04; % Wetted perimeter (m)\r\ndP = 8e-3; % Wetted perimeter uncertainty (m)\r\nS0 = 0.01; % Slope (-)\r\ndS0 = 7e-4; % Slope uncertainty (-)\r\n[dQ,dQrel,i1] = uncertainty1([n A P S0],1,[-1 5/3 -2/3 1/2],[dn dA dP dS0]);\r\ndQ_correct = 2.13e-2;\r\ndQrel_correct = 0.254;\r\ni1_correct = 2;\r\nassert(abs(dQ-dQ_correct)\u003c1e-4)\r\nassert(abs(dQrel-dQrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Discharge by Manning's equation: Q = (1/n) R^(2/3) S0^(1/2) A = (1/n) A^(5/3) S0^(1/2)/P^(2/3)\r\nn = 0.015; % Manning roughness coefficient\r\ndn = 0.002; % Manning roughness coefficient uncertainty \r\nA = 0.02; % Area (m2)\r\ndA = 1e-3; % Area uncertainty (m2)\r\nP = 0.04; % Wetted perimeter (m)\r\ndP = 4e-3; % Wetted perimeter uncertainty (m)\r\nS0 = 0.01; % Slope (-)\r\ndS0 = 7e-4; % Slope uncertainty (-)\r\n[dQ,dQrel,i1] = uncertainty1([n A P S0],1,[-1 5/3 -2/3 1/2],[dn dA dP dS0]);\r\ndQ_correct = 1.46e-2;\r\ndQrel_correct = 0.174;\r\ni1_correct = 1;\r\nassert(abs(dQ-dQ_correct)\u003c1e-4)\r\nassert(abs(dQrel-dQrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:25:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-02T03:35:52.000Z","updated_at":"2026-02-10T14:38:18.000Z","published_at":"2023-09-02T03:35:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose a variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e depends on \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e independent variables \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x3,...,xn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_3,\\\\ldots, x_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If the independent variables have uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, etc. and the uncertainties are independent, then the uncertainty in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be estimated with \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay = sqrt(sum((dy/dxj Deltaxj)^2))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y = \\\\left[\\\\sum_{j = 1}^n \\\\left(\\\\frac{\\\\partial y}{\\\\partial x_j}\\\\Delta x_j\\\\right)^2\\\\right]^{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor this problem, the relationship between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e will be power laws of the form\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y = c x1^a1 x2^a2 x3^a3 ...xn^an\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey = c x_1^{a_1} x_2^{a_2} x_3^{a_3}\\\\cdots x_n^{a_n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, the relationship \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"KE = (1/2)mv^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eKE = \\\\frac{1}{2} m v^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e would have \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec = 0.5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea = [1 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes a vector of values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, exponents \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a vector of uncertainties \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and returns the absolute uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, relative uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay/y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y/y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the index of the variable that contributes the most to the uncertainty in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58966,"title":"Compute the head for steady 1D flow in a homogeneous aquifer","description":"Problem statement\r\nWrite a function that computes the head (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations . The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length of the aquifer, hydraulic conductivity , aquifer thickness (set to [] for unconfined aquifers), width , and a vector BC, which contains two of three of the head at , the head at , and the flow . The function should also return the flow.\r\nBackground\r\nThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\r\n\r\nwhere is the flow area. For a confined aquifer, the flow area is , whereas for an unconfined aquifer .\r\nThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 738.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 369.25px; transform-origin: 407px 369.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 125.5px 8px; transform-origin: 125.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247.392px 8px; transform-origin: 247.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.433px 8px; transform-origin: 175.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.742px 8px; transform-origin: 114.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer, hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27.225px 8px; transform-origin: 27.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, aquifer thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (set to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.6333px 8px; transform-origin: 97.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for unconfined aquifers), width \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ew\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.3333px 8px; transform-origin: 44.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eBC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127.183px 8px; transform-origin: 127.183px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which contains two of three of the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAACRUlEQVRYR+1WuUoEQRTczY00MlLQQNHAxANEERGNTD1+wCMwVNDAUEExMPKIBY/MUFNBPDAQFAw0EEQjTTTXKugHr3tnpmd2e3cRtqFolunt6n5V773O56o48lXkztXIqxL9fxP2FhOel1BhSrr5KEhGgEGgA6gDNoGlSpCTox44BHgQjjHgvFLk5DkGJoAPoBP4qiT5O8gazY1582DD5/ZuMN0YtnnMu8GYsZGPfBlr1gxhK+ZgTueePvIzY7YnzP0h9U5D/o1FTLF9YNZEgM7fBtqAH2AYuC1GDl+e8+YcUwBdvweMAwcAPcCDXQN9ock3sOGiuV0T5h1DsIKZ2ksWlIX8CgS95manmIeAaYB5rrNAS5IpAHFhZ2X7NDudYB4wELfrLBBJMhFzcRz5JL4dqd3csipZQMNREl31eHCRiFvw+wJQYMo4chprxpBHhVWywNWbxK/ApZJIotTjHiCOXMzEm3UBurhovWm+dRUh6QNupHjYN6BdaxNFzr79rPSmBHrEVT3tkwZHCjGvdago8jmlWVQLFb0l5IwE+/4dwG+shtYN8VvS1pIwitzXQkVvhpzeeACYDayArAtJ5JZHoshlcz4a3Baq9eZGHKsA18rtksitby65r4XSDxcA+zvJhZiHKJnc8Vamn2LEom+eic1ZzG5XsuFKOcCv+bMrp6SaVYp9j4msB0kqMjSy9QANTS7l9RFE0uPFCwUNKDQ5I8WM4LuPDeUeaAa2TDpakSwHeWqpauSpQxVyYS3sIaOZeq8/pdSJKRBBS50AAAAASUVORK5CYII=\" width=\"15.5\" height=\"20\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.0583px 8px; transform-origin: 33.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 43.5583px 8px; transform-origin: 43.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127.575px 8px; transform-origin: 127.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The function should also return the flow.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.442px 8px; transform-origin: 381.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"85\" height=\"35\" style=\"width: 85px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 173.467px 8px; transform-origin: 173.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area. For a confined aquifer, the flow area is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49.5\" height=\"18\" style=\"width: 49.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 111.642px 8px; transform-origin: 111.642px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, whereas for an unconfined aquifer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"50\" height=\"18\" style=\"width: 50px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 365.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 182.85px; text-align: left; transform-origin: 384px 182.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"640\" height=\"360\" style=\"vertical-align: baseline;width: 640px;height: 360px\" 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data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,Q] = homogAq(x,confined,L,K,b,w,BC)\r\n% h = head at position x\r\n% Q = flow\r\n% x = position at which head is requested\r\n% L = length of aquifer\r\n% K = hydraulic conductivity\r\n% b = thickness of confined aquifer ([] if unconfined)\r\n% w = width of aquifer\r\n% BC = [h0 hL Q]--one of which is NaN\r\n\r\n h = conservation of mass + Darcy's law;\r\n Q = -K*dhdx*A\r\nend","test_suite":"%% Confined, boundary heads specified\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\nL = 24; % Length (m)\r\nb = 2.5; % Thickness (m)\r\nw = 400; % Width (m)\r\nBC = [4 2.5 NaN]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 12; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = 3.25;\r\nQ_correct = 31.25;\r\nassert(abs(h-h_correct)\u003c1e-4)\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Confined, head at x = 0 and flow specified\r\nK = 8; % Hydraulic conductivity (m/d)\r\nL = 2300; % Length (m)\r\nb = 31; % Thickness (m)\r\nw = 1800; % Width (m)\r\nBC = [45 NaN 892.8]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = [800 1800]; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [43.4 41.4];\r\nQ_correct = 892.8;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Confined, head at x = L and flow specified\r\nK = 0.04; % Hydraulic conductivity (m/d)\r\nL = 1850; % Length (m)\r\nb = 25; % Thickness (m)\r\nw = 1400; % Width (m)\r\nBC = [NaN 133 28]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 300:300:1800; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [164 158 152 146 140 134];\r\nQ_correct = 28;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Unconfined, boundary heads specified\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\nL = 24; % Length (m)\r\nw = 400; % Width (m)\r\nBC = [4 2.5 NaN]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 12; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = 3.3354;\r\nQ_correct = 40.625;\r\nassert(abs(h-h_correct)\u003c1e-4)\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Unconfined, head at x = 0 and flow specified\r\nK = 8; % Hydraulic conductivity (m/d)\r\nL = 2300; % Length (m)\r\nw = 1800; % Width (m)\r\nBC = [45 NaN 892.8]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = [800 1800]; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [43.8839 42.4476];\r\nQ_correct = 892.8;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Unconfined, head at x = L and flow specified\r\nK = 0.04; % Hydraulic conductivity (m/d)\r\nL = 1850; % Length (m)\r\nw = 1400; % Width (m)\r\nBC = [NaN 133 28]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 300:300:1800; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [138.7047 137.6190 136.5247 135.4216 134.3093 133.1878];\r\nQ_correct = 28;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Confined, random selection of boundary conditions\r\nK = 2.3; % Hydraulic conductivity (m/d)\r\nL = 2000; % Length (m)\r\nb = 34; % Thickness (m)\r\nw = 1650; % Width (m)\r\nBC = [54 51 193.545]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 400:400:1600; % Position in aquifer (m)\r\nk = randi(3);\r\nBC(k) = NaN;\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [53.4 52.8 52.2 51.6];\r\nQ_correct = 193.545;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(all(abs(Q-Q_correct)\u003c1e-4))\r\n\r\n%% Unconfined, random selection of boundary conditions\r\nK = 2.3; % Hydraulic conductivity (m/d)\r\nL = 2000; % Length (m)\r\nw = 1650; % Width (m)\r\nBC = [54 51 298.85625]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 400:400:1600; % Position in aquifer (m)\r\nk = randi(3);\r\nBC(k) = NaN;\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [53.4135 52.8205 52.2207 51.6140];\r\nQ_correct = 298.85625;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(all(abs(Q-Q_correct)\u003c1e-4))","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-09T15:47:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2023-09-09T15:42:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-09T15:33:16.000Z","updated_at":"2026-02-10T14:45:49.000Z","published_at":"2023-09-09T15:42:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer, hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, aquifer thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (set to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for unconfined aquifers), width \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ew\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, which contains two of three of the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The function should also return the flow.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area. For a confined aquifer, the flow area is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA = bw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, whereas for an unconfined aquifer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA = hw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"360\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"640\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 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the water table elevation in an unconfined aquifer with recharge","description":"Problem statement\r\nWrite a function to compute the water table elevation above the bottom of the aquifer and the position of a groundwater divide given the water table elevations at , at , hydraulic conductivity , and recharge rate . If there is no groundwater divide, set xd to the empty set []. \r\nBackground\r\nAs in other problems in this series, the movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\r\n\r\nwhere is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position is \r\n\r\nwhere is the (unknown) flow at . Using Darcy’s law to replace provides a differential equation that can be integrated using the water table elevations at the boundaries to determine and a constant of integration.\r\nUnlike the flows in Cody Problem 58966, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 838.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.25px; transform-origin: 407px 419.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 164.792px 8px; transform-origin: 164.792px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the water table elevation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.542px 8px; transform-origin: 206.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e above the bottom of the aquifer and the position of a groundwater divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"xd\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 101.917px 8px; transform-origin: 101.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e given the water table elevations \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"hL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.35px 8px; transform-origin: 72.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.0667px 8px; transform-origin: 61.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and recharge rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"12\" height=\"20\" alt=\"i0\" style=\"width: 12px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27.6px 8px; transform-origin: 27.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If there is no groundwater divide, set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003exd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.6583px 8px; transform-origin: 53.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the empty set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.3917px 8px; transform-origin: 35.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs in other \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eproblems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ein\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56205\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eseries\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 264.883px 8px; transform-origin: 264.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"91.5\" height=\"35\" alt=\"Q = -K(dh/dx)hw\" style=\"width: 91.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ew\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 333.967px 8px; transform-origin: 333.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 8px; transform-origin: 8.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"91\" height=\"20\" alt=\"Q = Q0 + i0 w x\" style=\"width: 91px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.4px 8px; transform-origin: 77.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the (unknown) flow at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94px 8px; transform-origin: 94px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Using Darcy’s law to replace \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 135.633px 8px; transform-origin: 135.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e provides a differential equation that can be integrated using the water table elevations at the boundaries to determine \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1833px 8px; transform-origin: 92.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and a constant of integration.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.35px 8px; transform-origin: 58.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUnlike the flows in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 233.383px 8px; transform-origin: 233.383px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 403.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 201.85px; text-align: left; transform-origin: 384px 201.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"586\" height=\"398\" style=\"vertical-align: baseline;width: 586px;height: 398px\" 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s7taPkba+zxp72/+H/x73Cm0p1nNN55PfvKTIfvKyBvkX/2rf9VI9iTO5m9l3bLNe9LY2NjY2Nhdav7kK28AviW85S1v+d7vftDIAw88ICefJ8X57/83f0unWf086fOf/7zOrf1bR7fwL0nmjeeUz6jyxpNfPNIhzgti+9Gbm0Ow/mbVi7d5TxobGxsbG7tLzZ+dfe5zn/NTIn9fO7+cpPkvbsPx15j85aSDd4X6cnPi69FVf+52ip3yeVJWkU/L/OtsLtnN+Wf/7J89P/HCj+du74dJ2LwnjY2NjY2N3aWWr/p+SuQHS/nlJK39vrOfuKy/nBSr70Z5ATr+ZOiqP3fz95Nui33oQ8//u1MuSnzohf9jnb+/9Tu/8zu8INLhJz/5SYY/9mM/Bt5Gm/eksbGxsbGxu9Tyu8yf+cxn8tO39nlSOL/6q7+aX0468WOV/LZQ/TXw2N6vWlsO23u7Ovj9pKtafpmd5fupUv6Pdfn9LV4Q84O59rf2XrzNe9LY2NjY2Njda34yxHtAfv/mLW95y82ZPzTfiniT8COlhx56aPMvxq8f8+TXwH/5l39ZJ3b9+vX8a5Dt524Zbv7v5060E3+Wl/celu/q6idG/mCOKV+hbu9vJmnznjQ2NjY2Nnb3Wn6C9gu/8At1WC2vDnLyd8Gatf/tGsbLii8in/zkJ/1foGi8cr373e/2l4Gw9edu+ZTrlF8z2rTTE337YWn+w5V/4S/8hZvh583doFtfIg9+2njLNu9JY2NjY2Njd6/lIx/fEtovJ2l5MZJz/LrQfqko/7+RJ5544t57733f+9738MMPg0jlXz9aP/vxb+zD4YXJlPq/IrmNv5+EuRyX1j4qy48Xnb3tP3TD5j1pbGxsbGzs7jXeUeqPkzZfBeD4f0PTrvTjJ97DPvvZz+aff3zyySf9GOmjH/1o/int9bMf3q5SMSmx2/j7SVhdcvuojHemdE4/J/4s70p273PPPXfhnov99vb/qXhsbGxsbOzute99/u9t3ZrxmuIvaPMekI+Xml2/fv3zn//8a17zmje/+c2bv5yEydkTocQnPvEJavEuEgJBIgw3X0H8gdeb3vQmXlbq28xxIbLAPc1Nsw34FGpZ2Zy3ve1t629uvXib96SxsbGxsbGX3l7Ee9LYHbT5udvY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbN/wf3jO1D/6/v++3ff+3F4GT73j/17BN/8/97MRgbGxsbe3ls/j+452nzedIZ2//l+//zhXcVu7WssbGxsbGxP4Y270lnbP/9w89875969mJwmsEn62IwNjY2NjY2dmjznnTedtUPh+bDpLGxsbGxsdNt3pPO2670kdJ8mDQ2NjY2NnYlm/eks7fTPyKaD5PGxsbGxsauZPOedPZ24kdK82HS2NjY2NjYVW3ek74T7JQPiubDpLGxsbGxsavavCd9J9ilHynNh0ljY2NjY2O3YPOe9B1ixx8XzYdJY2NjY2Njt2DznvQdYgcfKc2HSWNjY2NjY7dmZ/ae9Pnf+8rvveovXr/vR8Gn7vtz/Pniff/dl+/7b/zzpa+94oL3x9L2PjSaD5PGxsbGxsZuzc7s/+/22//xKZ2nvnTvg294TjQSM3jfN76I/7pX/FfwNd/6L9+659U4999zkf7cs//5Dfd/S/87ydb/49v3zv/NbWxsbOxusPn/u52nndl70ud/7yvf+MYfNvyqV92b4Y0vff3aG55/GcLuvedrOs/dc79xcH2vyhsVr1Nf+dafAF/1reffrl5xz9dfec+X5JzXG9X/dP2NP/v//jMXg5v2s//bz88P3cbGxsbuvM170nna+X2exKvPxeDmu9F3Xbv/P9/4GsiwvkJpvDC98lWvIe4bFfjNb3yV1yP4DJlFzZcq35kqqqDljQr/Lv+Mqn6kNB8mjY2Njd0tNu9J52nn93kSyIvRtTe82recfKSEQ5y3GV6MfHMKJpgPnFbLi1TFmnLVz6jwfaNaP6N63bf/8733vFRvVPUjpfkwaWxsbOxusXlPOk87y8+TfI8x4tuSfuLtdSfBb37jq5LJ4oUm71LtQ6b4z4suBuH4M6oL3s5nVM1ZP6N68W9UfqQ0HyaNjY2N3UU270nnaef6eVJecQ6Qt5D1s6VgXnRUxhgyde0Nr07cyKZOggefUWmqRbO+2LWXqvUzKp31jcrPqLD81E/zvcqPlObDpLGxsbG7yOY96TztjD9POgVJ2Zvyd5vyCZNWp3wlIkgkUxUN7n1GJSHB+pmT8VoXa8oS1Jeg1TcnMK9WmdL5pY//p0f+D/9tfkWd4IP3fNZfqMLqR1bYd+rf/hsbGxu7i2zek87T7or3pKeffvqBBx64GBzaiZ8n8bpw8ElSCKsU8foetkk48TMqHILt06k6ZZYEnCjbA7T1XSqmFMhbFFm+q8kHjVxQb1rtGf36RqWjOcwHV/XvAGLzdjU2NjZ26zbvSedpd/49iZekd77zndevX78YH1r7PMm3hNXP68gBwQ+NoCVS45B5adgkqNyC4mZu/XRKrFmQs6IorylJ5DVI8RYndzV0/LFgXrlSVynfqxQ0cjPvefOdKU6Kru9VOn/q/qdx8naVvw+I1R8O8nb1+vvpZ16wxsbG/pjZvCedp93596THH3/8wx/+8GOPPfboo49ehPatfZ6UD2PWT2XyDrGJ+ZinZSVuOYxXB6cuVa65OKBTVglG8FKdhgruza4itpFZIq20HGlgjWDmxhGjUJkGeeG7GO/8lUDRNzM4Dv3sCvMF6033/EeHWPvVq9d/+/934Y2NjY2do8170nnanX9PevDBB2/cuHHt2rWnnvojXxc3bf39JL9I16/ocY7Rz2xwbgo/b8TzUZDxcEwJx4qrn9wk0p4vDQzzggIiZdYmktWkEM/CI15lGbb2qkhNrKUrh7i2dltLuCKZsdZS9IP2D7NWxDcdI8hrUxwwr1nrbHu7OvjVq3m7Ghsbu1ts3pPO017xsz/7sxfunbDHH3/8n/7Tf4rz1a9+9TWvec0P/uAPGt+z//rsc9/+9j2veMW9f/DM1+9/5Tdf9apX/f4z33r9a1/J8I2vfyVfzkF8I6I0pl736m/e94rnI69+5Sv4Cv0nXv/87ycxfO2rn/+/wvG1HM5rXn0/ConHryVIjBrVUau5vBDcc88r49z8cw9DXguCRODjNEyHSkGGSRusl0Jh0owOpZkC2ROMRX3r2zTz/GJvLuqVIFO2l+XsFVIhzbPM2jMRlE0J2YjKtVuC9RLQoftw0y66wrx8NwWfL0rzccDnvv38VuPfe8/zHJA3LToHn3vF6+95xSufe8Vrvv3q7/ovX3rVK9740H/80p+897X/i9999s3PvfYtX3rFn/mdZx/61mu/B+e3v/rnv/q6Pxd85Wve9F/u+V8+fe/3ff2Vb/7yK/701+9547P3fhd/vn7vA9+69/5v3Psn+PP1rz776ldebMjY2NjYbbMH/9cXzthZ2Z38POnpp59+61vfeuPGDYenfKT0+d/7Sj6Z0PKJRUU4+ZjHr9/N8WOP0BwyW31mn7r5yYfxA1neGKoOLyINI3W6ZjpcF5tyOE3WcjCVwsLBdzZTtdDa8+YUWS1OJNWrcl1XCJVJY3Vpay05TVmr5FpImspiOgGZMo6DrJ9aNXRK8fbBFbj+I+zzedXY2NipNp8nnafdyfekJ5544pFHHrkY3LRLf0up/nvcOHwVrF9Z/drGF0UJ66zolF9Z67B+ZfVLOL7lVpFNhJwv2BWVqg61DvpcOwx/kxZZsDYMoZauFuUkNpRT30KIkOIO1wi1GG52uNlnspxiaK6aVbklEqF6Lk2Nq5ZZrU4ppXMx/YJIxQQ9DAxxbnKft/WNKkPwT93/dH6Nff0HruavB46N/XG3eU86T7tj70ntwyTt0o+U/DzJr6l+qECwfi1vX+raV9+Wm6n1w4yKa4lN3Evfw+TuvSWEmSFOpYFZSJymxpAv4Znia38irouIufjGa+mK0UwtFGIGcUJb+4wOtMzWEulhM1FxsC6qSjV+u2oyXbJbkYXo1OqQq1RtINuIuCVApjDS65uTiXmpyrB+TLX5T4bOx1RjY9+BNu9J52l37D3p+vXrv/iLv/imN73pi1/84uOPP/7oo4/q/+RP/uQ73vGOC9JivCf5NcyvUjj1y9iJ6EcLfoVjyNet+tV0E5MVftREg/RzrCOe2HZS4CertsFXa3y/8DfZNCk/IjXiEH4SU3FFN3xNt43aYUrHsYQpjVPVQHWqOLSa6OrMyhVMsKZHxNkVI+LupbqFWmMtvkoxi7UUxX2vMph3LMjZAV7IWGl7xxLrv7aQvwxYf1d9PqYaGzsbm/ek87Q7//fdsHvvPbUNP0/Kt+YgwfqVaQ/9mppI/agAhXzB28TkwjQ9TsWq2Zpsavmq2bA2GYU4iSd97wMPZ9NkW2yLVCbOqlkRQutnU78K4tS1pPk2tVkr4jVRNB4d4ybWDuvsimvRlN5szJY2NQlivga17T0YkkKhejJBI8G04ZtTfHLb1Pzgb2zsrrZ5TzpPO7/3pPoVhYhfJPiKUp18HQrmYwA47SsuInUI+iXqZsFLXqGC6udrXtVMEP+qgpHaTCSobC10QFPEXUpi/aBIv6qFlnQFo58+K6Fh5RxMrRu1mUiQ2XDa1Yd8MGu6alW8oonUwlnj0amrqNhWVA/bOqxStVVpUas7o0j7XEoC6FAR3pwqpopvVDDXj6le8exn733td+HPD/7Gxm6/zXvSedpZvifp+305jhG//OjUryvBcEyEky8ewRbc1AFrXB/xqtPUUhQnbTSdinBw6gcPMOuXWBBOJVQ0HZpZWW8UaqJSNb62XSOQ5RO0eb5a11mlgtI229M5WEWrG00J+nWqSpHLepnKbJy8Dh6UzmztoemA2YREwGzIqiyummKULV3bWEXkY62cC0eHKduraK00sMqC7R3rvhf+L4HrvwL63LP/GZx/YH1s7CSb96TztLN8T+ILg18JfPRvPuvzxJcQJ9/uo6ZTcQ02wT3c/HAianH8Cg2fflxCFNJhHSpFOhFLbBIqSm7rNZiGGbp1Nb7uTHMkN+WamNXVDithT8QpsTbmbFLYMS+9/RDMippU0jeZld/eHlLaDokz3BRZ9+FgUQ0VBKO2NuZslaqtihKe7++mYJQ3BXHSoY6C0vT3MFIi6XnNQpyLQl0i84O/sbEjm/ek87Tze0/iwV2/Fa5fNnym10i+clSnfepQ1VYkqwpullhlj1HN+pmBCnaYElVQmi8i8omsyuT6+hW16KRQ40fw0q2QVpVbCWkptBJsj6DGlJHM1gYgJLH6OPVtiWGwdrumNzLByk/1cE4sF53Vicjm3jK7ajblKNREEU2vHTSMJlv/FSE0J40hstdeOGR5rsIPNho6vkXVdyl8pzLc/Bt/+f103qjmM6qx70Cb96TztPN7TwJ5NNeHfn24n4KrQoZgnv74zJLCY50Izt735cpWkQNE06+7DJv+Xp/S2qxYuxUbx56lZbjHT0XxUvFaQsLmihw6BRmnSiXd+KqTxMxmGE4ce64pWfvaOahgq57cg3Ih5OU1CnHWqaAdtuZ18k6WeE2s6XUtreG2zIabq2tVbN5CWf6BFEys6eQIZcrDr3hEWOb6apXI97zuP/gZ1fMi8zHV2PnavCedp53l50l+IeFR61MVvz6a9/D46+UeKg6qs+cgbjNx9gRJqZ8QNP2K+Tbdl6o22zi1qJqh1epM1SGElMapje0hNMzNVJ+hU7YqAUsDoMoEm1/TxUYAsSqSNtLDHiGRcFrbbd9EVwEh/Si+vvTUcpFq8T1cm6+OLxNrlYrQmJVTmem/zTZsUqu+mJQsv+m0XILHyw/BPqtsjWR12VjS68sTCKdN5ffTwXmjGrvrbN6TztPO7D3pD575+o1nvsHTkyej38gS9CnJs3XTyQMarN835wtV8ysqXhX2sH5X3QSbz1cCOUT8krApaP+1gXxPn6W1opYwpe2DU1b0i+hKM763FaKz8FurWRRDuopfO7dies7aa4fuT8itSmusEcB1ti0ze2hKmgmmybaEFVuufJz6hb9i3dh1dQcIeb0o7ULk8h0rZx/aZpKFRTx4cD4btpSqU5vP9WWYotFx29dgEp2qUpQjiL5VQIbEeRVjjfWlqr5a+XtUvkjlF9LnFWrsJbd5TzpPO+PPk7Q8l/F9hq5ORfg8KH2y+31tHJSdilNzfRAfROq30RluatJYStvkKh4FCIm0pUUzRVld/TpUdcIhXpU3aWvbxkUTzUqtbCx+aFlXGmuCStXSYtMXV1rtxB48G3GwzOJQPftzrFl3chOh1ayrolUO9MWa0raukV1IDWbzq58NeTGXexVfs07Hqr+uogZzxkwkQi4mIW209Ioo0LbM+vKE4efjKF6h/GWp+U2psdtp8550nnbfxX/PxN7w2lfyOLsY3HziO+RBic/TE8RvEZDno0G++OUJ67NVh0imdJiqCjxe468R9M091rQHZ/X3xMOp8bY0shSPGpHGUadyjNhkaGBoa9uJg2TVlkR0wkQ5tKyLyyS5Csqxn1qi7XzQqUrmj7PsP45VbAZZfdVceNoI1qKgLRFfmQ3lt34a7s0Sp5AtHaBkfJCKbKafuIBM1WbkJOhpZwkUMuKGoNn4Yi5KvToizFSpWE/smnW8LZVT9e0qPQel0byFIs6Ue+UwbbT0IEzbNkU+Po6Rb7/qTfz56v3f99tf+/O//6p3/tuv/eUvvPFvffb+v/Eb3/jJ33vVX7x+348+dd+f48+X7/tv+POlr72CrLGxse94O8ufu+HwlYAvAz7mfDJW5EnKA7HFYerwbCWRx+WJ+HzhP1plU/8U2aSf0jyzLHMtFKzKmy2JtTE0U73SqtSKNeWgJcRbrU3aXj+1omrw626Y2BQqoVahT77+6bcp0KxWUVnIK3P1w68iK4ZGbl0m8bWrFUM2kmMfNUSwJk7kwMEaf8UQLM2wLnzFNIbfLtOltewHfZw1zkXMdWmEdLVeCJjpDQwzp3dNSdCiZCGij5MFQt77CArHn+LNv9I5tm3zedJ52hn/3M0HWX3SbSIPNZ6MbVifoWKepC1eS0TK35lYHcirQtBndMg1siofLKEGqVg7XFFBVyczrYZT92RzHyBvpjQn7yXBSkhX6DgbwURqPILVh8AsTl1RlK+EuQqqRX+9KHFydWo/DdsG5guzbRuvCzwolyr4reeqVuNttjn2tvIzlUjTt/pmh00wiZsLb1VAZpt+jSNr+uZw8zqiUGcrZzMluCqHTFBzUTgRyZbSPK9NFX2F8h/nnN+CGnve5j3pPO38Pk/67O9+OU+x+nBsT72KJGaInyfgpUhKHvdNKvE49TtUWsp3nw1RaGQjKpO4+QU4s7UZRRozKJnEver68vGjVnurWHuDj8XXMTFrJ9IIYGar2pp4U/7CKmftCoLK0a9bdBzf0wwh1Ven9Vyb35OtaNsyldXWcu0EVnGKtj2sJQiSu7YnP1M1ZQ9pg5Tn+7tsQ/YU1v1JBAWCVaSuK31Ka8O90swiUvctfe6l1H5qbuLJaiKSkxUkgpHraxPMlPNfOnjwns9+655Xz0dQf4xs3pPO087s95O+9Ow3fU75eOJpxUOHpxKoz2MUGs+vzIIMDYJEqkL8NWKK4pGNJg++RqhSPOUzbJqm+00qSLwqo2afDTNrOkhccYdi+kRW8lo9rSbXLNV05LdclpzSOK23JLJ2V9cIojtDPGogERwa1rEf4qt4Q+IqBNG3aNuZNe4+EMy1CK6dtwi+PeRCx3Gqbp3YNrOK1PXi1Co4OWkoJEWRekWItBKktPYMtqmGa+fwLYFZbm0V3MwNtv0xwm6Tgl9XwbDeBTUxQ3yLpjSEoBvF5kSZHQ45hVq3VbneaK1zsqoIcclWFOEQxDFXtBzIa9NX7/++3//aA0+/7gd++2t//guv+kv/9mt/+bfv/5u/8Y2f/K1vvPf3XvUX+TO/BTU2dvfY+X2e9PQzX+IBxBOHZ5PPKR5bFY1DjoP55AqNB665OsyqWSM83UiUr0grVJFZy1WMbA3C56mNeCuNwp74HlbZmw1efNMvIU5dUY0ksUX2UGYTDxKRlq1bOaK0RNwN/aTYD8PQ2nat+0bESxyR1sAar6uO4JrYkFmcU3ZsxdZ2FVE8q7Bc66RtgiJhbs62ElWwtRQnWVVqLUokrdY1no4ppEiGzlLIWmnGcg5rG63/pEPgdLVTAeKvzYh1UQdkxVu3ycLH9CtHpIQH3loVyYIDSq4fRK3/lsF8BHV+Np8nnaed2XvS51/4/+DW5xHG0MfK+hXXqfqo4rtYgnlaNUEcMLTqVJFN9GFn0daDaFHimYrjA/1YH2SN0uyqim/ypVGlRUwxvkqtmO2Cnx7WQhnucXwrctVGmiYRZ2vPztKJUzpYNq1VPwVNySWL8uaFaMtpuSaeErEKGE2njNSKK1q0iTiF1HqY3Wr9RFzFJn/PAVPd5aRua2wT1z1JvLZnV43ZgqllS+khw5Zbm6xYNWt7VVZOI1faXrf1eK+cMPd6A0nHZOLYYXYeTV6exPwKVP4Vg/n9p7va5j3pPO38/l0AnvU4PC94iODz7ZpPHx6gPEcYMmuQJ4tDHj0QgmSR3sgKGpGGg0J1jFe/IU8uBZtsOoFglVYR9HnKKhgeIE9hy7mK6NROaodkQQBbxETjiUCwn4i3zlVID7UQKdGnT5/pDnmmG0RBnUpumkSsjsPQoGokZrvwcepu6IjrNVojKKC5KnshGrktGWbNDSaSfSOxcgwqUqcIplYtVCObIk4hlf5Dc6tTwoiFNvl7kXXJDnMmw8+qc35oz6KJBJFKRdCumk4NulKCOG1z4jDLlJxKaFg1a3s4WVRWul5lCIqQnvXik0WQ4dp8xdb8ipZQBN8Gaj+g+r//tQfue92b868Y/MGf/D/9xjd+8vp9Pzo/uRsbu412fj93++zvftlHMw8UIjggTxC/kzOeWY2hhDxrCIbWkKdYaA2jkK8NiazVK9pDDVpF/2aPF0uoajx8M2xV8LMJUSO417P6NZLSxg+c2raRTcye1KEibbtOlFoXVTtJeydi60FnvWSrbPhNE6Ypm5dSgk7VB4njMGVLSazimcWpDaeQWFNQqFN7aKFaeg/rutYUdNr5NJhZFbLDibQliK0ryTWoX/fnxaCaa3s6rIt4jeiYUvfEhdsbmjgas2AK4ZsStXSyYr3KtZy+sm0VjSMqxVug5O953X94vvS3vnj/PU/Nx053zObzpPO0M/s8CeO2B7nzeS74LRfPBYI82hwGIeD4rZ4EHXIrraHfX/rUa+jTBwWUdRLBMZ1y9kZXkZUP0kCtos8UWDt0LWgypG6LSzZR5bThlOSk4KwRdWgSfYbuYXUkh4nhtw2pmD1hCLoP+mCuUXo2fiDl8qGJdT/BOtVom5Gk1M0kmH5AmGti+G3KFIbtA4nQwrThHAwdpo7rbjYsXySYHUs/FdfSpER85Tf0UOFbvaWgnAuUxnKBorBGZLbecNBJn07VuhKMrOiijuPV32vP0sZrRA5Yb1t0XLi+cfjrivCzNB357dibUq9ytiu+HFeBv8kRIeDwqsTCwS/d992/85U/feNVf65+7MSfL9733/FnPnYaGzuw8/s86cYz3+BZwyPAiE8EkAcNDwueICCPBgj6IYRGVpgrH4RgCfg8YnhyqZMSzspMyp5TMYltCnL04xjca8DgKmVKmtdx7S0OnxKaia2BOBBqet3PBGW6kxmmpWx+gmA2uQlmvTVec+2nzq7YGtvkgGkmm3BKYpoxK05b/gEzDtjE91Ap+KbUPomoWTHBmxnP+1Wwkuv5b/dCvUY1BYymjbXEYzQ3DhgdOW0nM8yq684cowo4l+7Y6Uh67kGbV9ypBLOilIsD1pZqbyGsqKzrSsXM1kuQBnBixqUZUWc+dnqZbD5POk87v8+T+KbNBwo+TwRub5EhQR4EoAR9p3xe4PN0q8yVD0LwG0f4PArz7WMS8xGCU5iO31DKMQKnKtfPHhjywJKWJRCJY3CvgZoewaQ0Z43Lt2HSjSMVJ53ABGu6U03THtjJKFiiktW3Z1Cyl4aHNYhPMOs1q3aCYPqpytUX0xjkdTaRbJ0OQQ8DjrVwbKyiU2DWYmTN3WOCViQIrfa22ScYvsO68xEHs6JaMVmRrWTbtrHqg55YlkwKTk3UQQ1cE4+x9kak6hhpO8mQzmkjq85C4u9FkNWpO1Zr3QKS7j3I0OYRd8ql2UaqtPWCEOpyam8SKmbb6+rWDXeXVLCrFE1pIl7TcMji7kMZ/J2v/Okv3ffdz//C0+v+yv983//w+Tf8j37slP9hy3zsNPbH0M7v86QvPftNngU+O/IwFSE4VZEgs37vheOXuswqUvlEeGYl0S+KTPH0MR5ydHRWqcrZDOqAdRUNbSAcnFvTqZhFXZolc91qMFtamWpmdlO81q3XxcS6XmbdcxMJ2kmV3VMI4RjTNpp7DpfeEq3W5hU3bttxEq989etaxHVFtdWVDxJsshlupqyrbrjZ6mZiuy/WPTklAq73l0yCtXr8dZcOIm27wmk9gLW3A7+2Skubgi1YFUCyspZLG5MJNjIoR3EJKoSMk9mV3NQOOGwmL1j69WMnnPkXCk61+TzpPO38Pk/iBvZbK78r4r7lxgaJcwN7h0uo31fxXJOWuExFMCMgTwfTw3cq3z4GpeUbNRLrbOWkYg0mEZ9H2x6GU9e4pwPHtiuS1SJRaFl7TJfG0JbEbKlIMJoMTVlbytVxGBG2qOqYyKxkfGaJr7L1ytp/HOPHCBlB2m6bCeaqeUjqks3avOLGQ4gsqE4rhN9aWvekFpVfF2iwyYLZ6nU3lIKTLDDrhWOriUjYTMwanWJIehXcjChS0fsrPWNksRVm2TaOs/j1WuisJyERse5D6qbi2i3p4bghmJyagoOgfmTTSYJt1SiAtaWWksZkErRQJYdjqxJA4hIM2ryyoJ1Ibg0ccIjwqoTPjZCPnfKPZPIn/0Lml772Cv48d8988jT2HWJn+ftJ3Mnc0iARbmbuYdBXCuIEq1M5B8z4dQqy35ImDvKkaJEVG6eKr+lEeMzxnCXemkwDKNTON1FOXemmlBHLkdjqbmKqhIxCtkiaVbI6ZhthpbWpSrAW24KPTo0nkuWsIse4uQ8RD9q/jlaXH+Z6QWvuKRjZgxUx5W60rTvopPbQ1GpW4yNioaYA5ookEqxZ2dKkr44ptdtKAFvDte292VvA2lJzNvchToZGomY8F7QGV6y5Qc9AZtfEcHDckNqqhCaVqbbntc9NPj1kVqSijYFV03ReyCo5/zamHzvNLzzN50lnamf5+0kgdzj3IQ43JLcriE+E+/bSb8I2mQqakiFkHwGJg2tkxcZJIdDv7VoEjvE0SQM6PAERcQqssg3l8NiKSNYbqUQsF6elNJF0y7oY+qzMFpnuMAtnSHxVIygtOhWjg4Lbgt/iqJmb5RzjuiHrPlTxLJYhNBdixLZNlA9myS03w1U8ETGX4GBFTJnbrlekGLa1pJnKdzeIrM1EP41VBZCVtpRgpqS19E1BVtREQqit6otMQQMTWTmnYLI2ezNSV7RyEsdBh9MIZlu8EAQphGNwRfl0IhnEz7ZYpW21/dcDTLy2qkhoNVdmjbSztPKddbtE4lYJB02nSA8NAq9N33rVd+Uv2f3+6/7K773xb9SPnea3ncbOxc7v86Snn/kSN+TF+OZzxJvfm5O7lCG3PfewSNDZII+kzAahbQ5bvGEtt5beY+6hreabxdqtU/qrlBE5ZkWkqbUdyOqyjeHLSaR16CUwVxrKRBzW4IoR2exwvTrya9yhDSRxxb21hBDNrCUOaN3GBKPjMFhz6/DACRJJrRWz2KQ4dAqHA8AVqVN74tmKde2buHluj1NWPBDZO8xpuO0DhLqc03HvMKyla2TFxuHGYefFui3Q8phqWfGdAtf2buZdLDO1QCMVoVVCskCl1kXVyMqPYJ1quKewiRAqh5XyfiYayb8q/p3/sdN8nnSedn6fJ1XjOxtvV+5wbl1uOZ813L1BaNyNcEA4YJ0Ntu/b8v1ZIuQaDBNNvyEzYieNkywemns6QYK0B9NuRWlO7RVy1XLMikgc166fooqA2cbwiZuSzlOCCCkRkeZsBGUq1VBnr0MSlSWozhp3mCp1aRU312LEYZaQthOBAJMNIe7Xj8TVyXDN3dPcY4LEka296YtcZQg1RSmmjHP5LhVXFl9NEyO1h1lpxUpYj/GKns8Wr0e3kevOV5SAn+XUXaqRdbYehkTW0i2yYuPwBAi6IZg0hgQzTFZ8p8DanttCMM1nh1lU2xBmnQqqZm7KMawXqzZT+SkdJ1MNfe6pybB1FYSsjpdDZKWgs0a+/ao3/f7XHvivr3v3v/3aX/7Cq/6SHzvVf1V8PnYau7N2fp8nffZ3v8ytxe3HrcitTlAfhyE3bUNuRZ8L8nHq95HO4u+lP1/1Zgnv7dvrrOWMB7MuU1wCTIPVEXnAudgqsiI6Mk2MuGprCnGZbBePuVo0uYnUeL5LXp1WIhip2mGNO6wXMcPq7OlXbPsQzD64J3BYtZGku0CclntraBU7d6U4WYtthO+hTQM4m5qNGdm6hJXcIi78gFYbO6CtERI3cw3SYb2mtOFVYPZgo+qOtamsuiJqa59ije9xVoRZd6wND5jpys5prEWgbe7M2mT2J7NGoiA/2Paz0jLV9s1cmzzY4VyFdWql2b+YKcTXj53O+H9mN58nnaed5b/HzV0Kcg9z8xgBHXp7t2+eiHArEjGRx5NMZ/VrijetEYagRU2PA6dFrurUcrZnnyLPiDQGgRSc2i2Ib0T0+zzFg+ZWH47MdQ9roijBivX75pZrA+g7ay5bveeItTexrUW1PHBFaLlwTTbOqrwiynUfUsIhBHwaoFZWFIxTdyMKp2D2ilyrqJlaWUvTd+0EmUKkaopRRiFMsO6JcWli3XDLUagOa/XUqgqhUaJt7BrBx+omwAEd0mG9pgS9Cpg6riiE5qxT4roDrau2dUb2OCvChCANXDcwuZVJMDe+Qfx0iy/NRCJ1vU6BuS7Zn8waIV1mw/BbIRDNzd2TkB7abPxwjtHNsX+RYBTi52Onf/+1d/mx0/o/s4M/Nnbb7fw+T/Lf4+bmZMgtzZ3mDe8jhmHiOqCzZHkThhnkPvSJ0HKdjQI+Tr5/SmSdwqHDNdgcEw/0mdJqodZzIrVbHisHGB2VTTxmrmiu5ey5BVe1UxApt64Wwrx8ddUvpoq4uQ91qLMWalcwzNrepf6lVSquF0J+jZ+unOtVs6JTFTaHwZYrjWCuYBJXB0z/BPVxNGfr2gk2v67oqlh34LjPAwfc3L0VN3NFIrWrPNlqw+HnIZYpyFWtatazcYzpYTPY0K07nsWxeo2sZHGzTx/yKlRaNjwPBDrBeNujEHhXf+w0nyedp53f50ncHtwM3DD5pgfkRgK5l2rceyyz+bYJBW4zafhwvI3XXJD7ELIKOty9LbJO4SjVgs2BUDukVp2lNzuJvnx7S88NVZOvoH7F8LPemlVzieNIcK9armR6rkFSeKjhXBWVql1lE7x8Yqqk29pzjezFjbS1ZIG1NA4prdV6jWpK9gF9W5VQL9beYav6DSkEmoVyuqrxKymHiUjtU35VEBNP9XVdyUKwRapCImD6j68h7uqyRuqu/h5CuDSSK3VpnwcRpDZ3b8XNXIOtK9VqMHuOWa5OqRaO6Hpx1k7CrD2r2aYMplB8t67OVsytAcGsRMQqJbYORU/RSsuRcytAIpSAYEu//7UH7nvdm5//J8Vf9c76P7PzYyf/eaf55GnsSnaWnyd5/wSJc+d4nxjhVuTmqbN8bQi/Dp8XXb7DCzql+JWwlTumUeX02c0+K/KM81FienXqt3rS1qz120EdOHWj8FtjDLPt+OZm9gDbt5uWuyl/oZ8ma/Xw93BdyF4kysimRBu2dKfwqYW/plQn/jHmErT+6xCagu0qV6l6+BPhCwkpIMNkGZe212RTC63y14oVN/shgkI60a+X7xTMFrW9WrFd8URO6bNG2uzB7h3ngqRg7Tqm4bX5lCOrEjKsykqta8xsdUBFwnfKIDuWY1P7yaz9p58TcU1cd8wSLbfS9Cste3XAEWmAd6w/cc/vXXvd86+Gr/rWF19xz9df8exn733td72EH0HN50nnaWf5eRI3QPvmiduDIKefGwPkxogPgRuDLCPQGBJ0iBN/RbPkU+JErPr0xtCiYo2ovykC2gZ+skCGYL7tQydLM+4DQnEdmDo87xLxu7HkZqpyLIojp+55GpPsUE0Ily68+qlYy4HJzWJtA1qmgmu5upCDiJpiXaCrSEUuR9LpRA6+ra4pNYJTq6yIPsxcONfStiWtooa51cS9ypZzi9RpEfUNkgUmjg+2ZmqucXHlr5yG66wRO7GKvuut6NrXuJgtirOiCug3pnVP6bNG2uzB7uV67SENQMt1TIcrMkVKyhnMzoSZFYWD064ms2vPIJEUCkcRFuLQKmBNaTt/fL3q7HrJ2hMpJTZptqRfZU2vFw4fAn94MZIjnwbA1177nvzb4k+/7gf+5/v+B/+dJz+Cqp9C+dfu5h8Z/+NpZ/l5Eg73AMede4Cj7/3gNygORQmQmfW1o5HrVFWLbyEcbj8ikLm1NrF9e1SbacyK6YpCrQRTRLiZ7aHGiWjGq0iCa62KNQUHPIUcvHTnq2B2Rp3qtE2r5SwRDrLPr+2mmXupeNXcw1qr9l8jVJRZSxtcF75KgV7ZlRBfZTWPW00zKoN1qM6mE1wVGh7kbq5uE1fmGlk7Ybh5JK6K66nYZNJA7Uc8XuOlO3Di7tW16292CLIWHgJNZJOpWiNke9d+qqA91PMcnSjkAUUE/qWPxD1UcDNIldrnujOhHXBAguEouHIqVkEWTgpLyw6wLbyQ1RR/Bcp/avxqn0LN50nnaWf5eRLIYfUQe745vjxNHHK+/W7DCA6zpjgbcqZQqN/NRFkdkAgcHxDcNmDzEbSNqm9vMjcRQgrVEk7REkhLKovMxhJRJMFWpSEpLtO6RA5S1M+Wtv1piw2aaHvZGXV02lRFZi0RjrLEMdsIeVNcp2ruRey2Lkf9+j1r9Gtpg1bf3JmKm0er+il0fBUg6+fypbeqA6pfI8HskoQVV5HNbRFrJzXi5TuO4NRObGzzSIgSTolHhEI13jB17cpO1j4rJ6dxD6WB+Mlad8AecIiD6WpzLdEEvQSb58QerNKCtbGGrgjHWuTWQgRBFRJhOZWw1/kaEclaaali9XpCNmnByglWjlLm1h3Loxt+3RDWxR6SAqYoiA/ZiH/z7qv3f98pn0L5QRQiY+dr5/eexM0Mej94fNsNA0HHCOgNg+/pD9kpb/uW2xACdxFMhipYVF+FGol+suQwTMPGLeGtKzk0Fbhv5QeZDaYWIgZRCDMYWZBhW+ZmimgWi4LJECfPGhLrYm1YTauAWPoEfbbWiC0FEcFRJw0oKMepzFYFmyGSKsG9CPz0DLItWZ1YL5Zt6Kc3LLlVCqwbsklo2K5Cu2S1gUiF39reQ1LqJbN07bP1LB50nqkInh5hWJtfzwaYTSDLzhPJpcl1r5ir3HTaBU0zxCEYaVPVCSd4sHub6Sw2PUQtEZitTzkmivCdqkjPxGGa0oJia89I9OU7dDbBRECCXqkMN6/OZiRd1c5Dq1XYBzeqqZECoS4EQqREIpWTzSciwZbqeYtaRfgWDULWtwQ0X7bwE+QV6r7Xvfl3vvKn/+vr3p3/T3B+lxzO2DnaGX+e5KH34HJAc6twmiF4A3h8veXqPUAQx3uJG6mlBCE4BRkRn2JmVbUoJIJv6czSZ0RalitKME4UjFSsPZCenhlmQ8ilnBhZEwkmBawPvnBqOTAOTLeFRINEcBSxGdVkVpFNrJzsSfZTEWez0syuase42U8qooyzuTP1cmQzzUquKW4OQVMSN5glhBb0hKSxVMkwDYBRZohUjTRMIUrrqLDZp4enKUjDHNbOG+dKEXxvTJy60rZqnXASafsjotYi4pqFU7viQqfP+hV07bzuJ7N1x9ru1SwjDLEcKtB4jbQ+5YCqYdR1qiJ8ppLiPhBMD2CWnCVk1fgrP8pmiSkRKYchh3BppGLbOshYtiVLphwE7xSbtIEqRVCOUlmRWRBaA9AkNEz1So6C4nJqkCq2lJ2JzysUw7FztLP/PEnkIMZZp8zyJvSW8/7JvdRSgmTpkIVIywqmHxwIViQC1llFsJoF+rTKLdpm8U1U2Vk3gUhtUtSxhzSDgok2T0TxvEiRJR9HToqKdUhFU9R0yuppRvK6VyvWtUTH9uTkaV5XmtkDPNi3ROBE073KsBYynl1NFYM1pe7AwSxONl8k2NpOlTQASmiaztZa8VtFHMUTN9cssfUspmgSG65Zmzp1ltKckLbShsza8F4k24XswXlbdQ56q9hWUfezxjex5lod1KeHeh2NrH02DnF3TB/9LIdhtsJ9wE+uu+3Qk8AwyCzxxlfZoGgh0WE2PC2FcGkk3YIMLWotg/h2tT4BMmsDkarLXHHtxIoSqi/Ckd/QEuIa9OVpD8fO0c718yTOsWcd44zm2eFZhJPjyxQRZznH3GnxvRk84gbFpCcY/WRt3k4OU6LN0ls0jXNnrmrJyiyCzXFWB1OfCOI4DGkYJk9AUiC4LfCTDge0GdZbu2q12hCClhSm9FPdZtqz+ACzlux81l4RgrM2T8REZ6svpufa/DoVzVzltAEniRIcirbh3q47YGRvlmFdrFPIsiHpTXRdJpKFL6FqKkV7Cla/0iyqLL6E1gbxuifBLCSR8MW20s1Im0VkXenq70XEbFeWtodVgSUc9FZx7woaWXcvEbBeEaao66x+vY57q1sV6mw7Km0IH0d9d1sphlgaxpx1GD7IaUzp2iF+LbTiupw10roFLSoTx26J51mRJdRW6y2DY3C9LmItJ18aWLdarPzafy6iQ2n1ytaUoKsYO0c7y8+TOJE4Hj4dz2UQTh3KAXOOTeTOqYkeaNNzZ1ZkCo63kD2gkB4y5RBymCkhQiDObH14Nc02m1s9EZ8pxlVuq1ZNq0UtVJlZ72atdJXS+CqYAlY1421pe4gOTtbiEg7SU8Jth5ZtJ1eRRECGBg8i0QymjUpzi5JOlTUxuM7WiAq5XnFszz2xKOjj23QS8b0iDKMZhYatDQSzsSoQXNvIFHiwkBOLtsjaUlupPuLuUjCHZMWkJ0IVgzm9YBSOOzw9Aq67t26LiZR2XcbthCY9V3urI6UptHVdOszjS0SKIFO1E50USvNMGUGzXp261Zu4LmdzgaqJRCxqIYdUx5HAophty7FJrIlsXg5m1cGhuuKZXVECTIbtcDqbognqGzcl6KrHztHO7z0J40R65rj3PJENneV+qEOPPo6n1mE4BvUJNgXRiiCJ9KBCbQbk1g0fhBDZoAqmV6ya66zoY6tGomwbQe/MxGtia8kHB1PtGSRuNmNQH1pVA4k0fq1e/Sau1F66Uy4nux0FhjpNc92x1kxrHsyOoZ9EdgnMtmQPoclvZwlyjdeIDeDUciLxvQ2HHILkfO1J562ZdqFB0pml/wRTvUX2FBKpNIYpbat7EXuuWW2lIpy9qTW+RrKHcdqs1YNZFFKXrqKiU+AaATGCiuNT2gg0ZD1dbMXaYVuRm2YKDtjWtTdM85h1lWIqkVwLsF1ucolU5dbYZuR4di+SfgjmfFLd/iGwKJy6vXSOY59ywHQuTR2QKpbL5uBEJ5waydrbNbKKe+UwDeOHtiKzY+doZ/ae9Lr7X8GRxTk4i0Fugwy5Ado5dlg5a2JTSC5OvQPz8GIqd5Q3Pz5/QhCVQiFduaiq6e26Yr40BuGnyQOsT8A6FU2Lri3hpKuKTIUZNVdtV1FIdSOUSxXrKuhQERODpqhcdxsHi0JSqmZd+Bpplzg+Om5LVkEWWBclefO0gNmWxEm07TSQtYhZeO1WJI4IGD+FKm42U9cF8geFGmwE8UChRtaKae8gokM85xlBV1o3vA5DILdF1ksMQpDW4iBxqq+Lqh3KWSNr1qaO8YiA+JT2VODnpsOpvblegmTVbhnSSSJYzQKzXtG4zbdOwBrJAoN1RaoRieClkVwyFNpFPI6kHIha7gs4idf2audMVZF2Z1lFBdA+8ZtOdcw1pV2jJII0I60NK2ZnGJ5uTz/9/L/SNHY32Fn+3K2eQm4Mjy9nsZ3OerK5STzHTIXfhmuiETn1NgPrHZgemArN5yBTDCNoFZshl7XYVZwV7fM4nubTyYow03OlEUEBVHBtKc5eJxJsAD+aSWRYmW2qyjIkPfvDMEhQ5axUn1Wsje21usYRwanNK5hZr2P46bxe9HRiRDSxxtMzyIrQader1ardynQWrFkVN5txP+sU6H6GED8YPlh3xsi6uvBPj+BngevZ2IuTtclcce8YWL1uy8HVbJF1rzZ3z3gVx6G0PdsGkdqVWJdp/zhqqkYEwfg1d12vua0TpLh8adUpEZNPuhF1DjZ/jVyJXCOUZmiQYXrWMW57tfO2vfp1CqaJKvhIiVrdgewJQ4zG2lMIrImge0XQWvYmB6yL9R8RONF4SXrnO995MRi703aWP3fLefVcxjFe/x3IIMc090D4oDrMcpR1GvLoWdUIqsa9QWQvF2xTDknxzsTSVe7VhvmC1IoSTyRVDlZhCZdTaQxt4NKvfO6Y1dd+rKIDbipsRuoCTacxHAkpl4V4FXzQE4FjYxFMZG2VhUet6rfmFWfWCOTwiUTKqRNR2QhaVxFKVzJxOgzfbmUytOfwa27TqUjiMSG4yTEdZ131yj8lEnSBohsLJrIXXyOUMJiLDmYDG6dW1zm+mqevaDOeq2wbmwupmNkc46gRJ5JupWVdxFuEYXLTSYYN7dChjmri2t7tjeBbET93JZ2k59peRQkmSoBZp5IoR3EdaUmRxpTtQbA3U2w4VdKAnLa3Mp1Sjcjp9sQTT3zuc597/PHHL8Zjd9TO7D3pK1/7lkeWY50TGcezyHn1aMIxQoqOrzjhgwTrOYZZDzfIo2qNU8J0HBIrv2GTdWhuukoz3qu1vYq1aHMQ2SyXHchX6DScqVriFNxsI1VQprS1nD1eVMXopEODzhJH2ctBhEsJ1nSxlltbJVdCnOPm8evGNgWnTsSkG7GcsvRQyejnjVwMMz3LpEmvrFd8fV8MHhDQVDwcZGsEjkOw5cq/hUjQFbnbFa8aX6/1AeeUdVVc92Rzl4jUyxEFaU61K3sp2rY6rN3+iScCLesirlMjaycVa6ssKlNG8BFZ9/yliNiJFem/dQLmDm0oUykcgjlvTplIFf7U7crGJgWyUyE0R2zXt5ZuwaYG5xT7yle+8vM///M44tgdt/P7/SROG6cw9wxHVodZTyQRHZjV4eDCMb0eaDmNmSAp3GyRSqQVPUbS8+xD3NzaFYLQvFfp30iYDI2kZ/wWaeWaA8JXqk6lxJXwuHpqOZtn1qWY3lTw60qqZNb98boz25bQyq2tRjbMFF2bB+uFq4n4SWGqidSIvrI5nBWrFH4921ZEgQYg1NL2Y2K90GJrqRLSD4gams1xT4xk+S8R5nKI9ObaabhFRHegRrJLCa5qjbNuV92ZzV0iUWdzl9bI5npRtoFjTLcgQxBZMAejRkAs6Vl7pGCuKw3ubYXIJqDWrtFLEUknDF3I5gbuIek5GHs0K2LsSbZrXW+mxHRb42kVZGhph1EzWC9lGrjU/tE/+kc3btzAAecjpbvBzuz/g/vs1771u//lixxTzitnUSSuw0H04F6KpJi+R4haqmR4s5GLilHgBuOer05TI6W2x3DVxJRdHe43bjyc1K1Ya+1h+OsurYJXQnpra8fZ7LbGNzmRws/ag+ui4GwyV9xradWEmQNW+3HfrMgsjvxMkdjIibRu10tQMSUkx0kz+Hu5aw91tgU3qzRncyEZ4rBXmwfglHgtFLRE1lgdrDJR85oSbyLBTDXO8SWomCq03co1x9VV/Sw8UhKiuefXbiNCcDNiLfwqFWydxGlrbLNxmlpDaK3iLUfYGVslwlpySGqfe0h6ut1MVFPLdq06IlOtt71dbcFWWh0wnD/z5tcxPLavfOUr3/3d3+17Enbt2rWnnnpKf+xO2Zl9nvTa+1/BQeTAcRCNcF4dgh7cIOe7RYImVkIjQzCYWsYZksj90BS4yZsTlElKjfNHTWdBCFmIETARVh1mw4NV1Hik2ndaECgtRlDyXrwiU+vaeayEkPTEjbCiWkiOCsQZtimCWY5I3CrMyiHesoKbG1jVolkPWO1HTkrYT51aydkQkKCa9JagWJcWGkaH1nKNUau5DcMhHacqJ5hh9irrbZG0Whfi0JPDBa2NXTVeC7legk6tDoTGzDFjaFBk1crWqUQUURNsW7SiVRCJo6GZZnTqyTE3KwUrQalkpWH4CtZuI+JUZBkqEj8bEiRubkRwcu87a+Keo05WmlbTPJq3JQLaoREbXq9OjcSvWxS/opqiEadWfQjpivWC9qbvDuCYW5fAVC0tjaAckcil9ou/+It5ScLmI6W7wc7sPekPnrl4i/dA11PuKcxpBtv5bkgKx5pch/g5zaDB3L3cCcatZaJO5YNRoDeDjRm+vvq1lvy6tBXr7OYqUl1UnCcjcZzWCc9EER04dXWb8VqdnUmhaMq3IukEYTqLk8jqyGGoJpHaDFMpAUpwNs2EXON7mMua7aqzDLHaj2t0+fbTpjYjIIJmEfda1BNVIzjS6ianH5wqu+LaTJ1NUZES9bKqj7PuubJJx9eSeEqc9BbPmU/FlFidtBQRnRXDEdedrNuCT7AtkJTspB2mXA3Wjar6zKpTZU2ptDUdzuZ1T1dcr8gmd1NcHdeYFBDfKlUEPHDAtdW15xcfsVVORRpmNmtvETDX0Sn22QW2FNC7UjTSFILM1q5WZEqR9fQyjI7KBrlqLhb/2J5++um///f//sXgBZvfUrrjdn6/nwRyTDl2HEdPqkNOoYe1+hVrnCwOMfcVjlNxwqlM7gT9dpuZteqDphC8lJnqIMx6m+lXtGcWTmKNKJsqVk8JkVniITcCcVeHoMpRw6nx2ht+VQBtKb2lxIlOXrDwcbLVYKZC4E8KEfQJKzlXKpdATo1kl+I0JsNaFA6zLt8hKZeiUi0rx6NGXFTl20/tKrL1Cu75DbNMEClvHyxVqMvQhRtZ00MIjcgp8Xp16kUMgal0WB1ouWQg5JqyXtbKAfOUCMJRXERhLRqCfDgpl+DaTDDpqtWVVgw/kc3rbkUXgk7dECJWScQNkcyQ2XokCFIlC0xK1HTAtCSu8USywy8mgp8mgwmm4U1a42wOL8XsUu3KzWRYT1dNrOQ2JZIIJ7f/sd24cePv/J2/8zM3jeGjjz762GOPffCDH/z0pz8tYeyO2Jn9ftIfPPP1p5/5EmfOA8q5xBEZcl49mjocUG7F6tQpRRxygg8Q5TDxk0vdKF+qcDpT5QOE05y9VWwWPejE6nWlK7N1uCfSeouUUwY3Z+taiGerQZ5Z0lpjreKKmVqdWm5Va4WIm7WXu4dqHmdRiyc7TJZZV71WbF1dFZNuV2riE2919xQqpzJPjK/XMfuDs1kuTUprrRJvzsppkZRey1WExkVRIeKtmYqWaOLmsupIXRVrxeyes62WnLRa08OUk6CnLikHxy/oMo85V0UaWPd/D9uqD6YypIpLPiAnWFeXnYlTdUIDo7Yn+73f/eDzG32anf5lceyltrP8+245spw/kXubiGdRBw7M5mSK24CsDBsiEh+O+vHNtW6UgzW3KqzMTYTMTYhIXVeNgAwNJrKnZtHWUu2kTTFEGX+vZ+O1q0zFr72pRlCpTOGncxy2NJF80gDyrDFFTD84odlzKlZMnwlGKgS72lNrexUdEFqdir9GYCYLbEx1mGITrNtWnbqpuF6XY2zt5VpEEwLOWldaNkeUnK7YQzRPj+PX65jq1oVgRIJIHMdZReo9CKbnlGbIcsjdi6DQ1rUiZC8Kw4jjt2Yq2ljWJdNcqlemLUV8xbpj2Qfi2b1UrA3LqYWSXq871fW96FhScgzSwNpqOLcRKURL7dJvRrKWTUKdqkOXbDwplUwPIG0cny78bHi2SIxa60EkZexM7czekzCOu0eWk5fzmsdZfRi1810jIGcXzBGviBri0jzlnHviZuXcg8nihpG/PkFk4oTDElrFqmO51G2OmPscJLFVDCq7edtj61R2j1mU5WQ28dpVpiJVe4uCRZnyaZ5V6NSITLaISK6vmE4YYpK9WKkYHbBt2or2j1SKevlCwLciaCGbYcoOTcw+pP8aSdaDb3h+mREUiVtrD7OKHJt0mxLHkc0DoCZOCA6z2wbxI0UKjockG0V7OKfHwbaQTGXVRpwFYdpJ5RxgdoyUdhISYZh12cyKTpmVbanNRKohs3CygZuctFRFqh9COnSouG1ITgRHjqhaZl2vQcQJMpTgVBLFNBBnxXUHrhpps176elHa6RXrtds83sHEq3JSqg5ObbJibTL8aNapVbY1MHaOdn5/342b1nPpceQEE2eYB9mJ6I2RI97QKcQ95RniWNR47p90FXRKvhgOztoPUwi2Gxi0UI2A+UKyVlz9zYgVK6EisxZtfZqYrqqIfl2CWAl5VDnLPkQnEfmI1LWDZBG3EzfBbSRYadGRtk5VhEO5dhEJhkBRI6DDJOYRSbpOFHCI2JsLIbGmEDcRJOJyDtCiSCW31jp2cu0qUrruAEwQ3zXiUNQgWBey8tE5MQ4yJJj21pTWUju0aTtNJtLQ0mBOY4ukytpMimaqbhe+28hQqc1moiYz8cp3mA7jM9sI6ITDlLKWwEHQSFKaskwxJUzBT3oSgwiusuk/anX2qpHq2xWy60URc2nESmtTmxFwUzlB21gvaGuyijDMlDu5ylby2Dnamb0nPfu1b+XWBTl5nEVvY85ozuul6C2EAo5SLd2gX9h4LBrnbvG4UzRO5WMR8dYyXYy492EtjVq9nfZwvfPTNsO8hVidSF1avdXtIYnSKhnHr44MxZpFXQlRMwVma8+4ytnzvC7UYBwFq4hTbDWz9iNTU7yRiawKa8TOszNKVZrXN0Gve7ugpGcDjYD0aQRMIg5DCSYqTnyvwxqRvNY6juAYrFgvgRFKWCWt1osOrQVBFYxH+SAO5urUYEvxErsE9z/MtJ0m44jrpu1herBQXVc7DyCRZFERrIXWZphVAYdIDozYel6x6YM6BplFXLTJ44PkVNYiDYws/RykizWe/r1Sm5zTIzVOD1lUut28NCvNVRBEqkX2UoKZtZksME5FUrDw64oO2hPHztTO7/MkjmO9qUCPKWc657We3dUnxQcuZzdZNb2hjwMfczn03gypHmZLp6LMPFNSnYpoEuTuiuAxkmL1yNo2w3SShayRigm2nmscBXtLMA5/mHU/xaRki9psfZqDLioXos6Ssrlq+ZkiYvNRA9UhHloNqpNmcNrXsFaaYOvHotFxaQ2ZzVd0IpKjQDB7Ipl41phaiSSelOpfim6Rw7UuaNylWSsNSGavEsTPXjGVbvHz/1WscRz5SJkOMpU2RAjE3dhsHbk6KxOF1q0Y/UsxJVTOYjfRQikHtkKtGdWIsJYcxRybRCpm1q3LfVFlLUoE8XRemwynqoWgLw3ByCpofD2HtXQiNpab0XIMKXTVCFJEop8+7RlcL826dhApnfATCa6JNWIzoh2CiWRDbDv8ujPo5O4Iel/Ah4Azdo52fp8ncdrq84JT6zH1QGMSOLJGuG0kcNB9+tT7xPOd9KhV9HHA7HqbWa4ym4idwKQNSyRRpsEIXnon66CWiFXUAdPMGqmY2Xqft7h+qtRZfXOj4PLTrTuf2boE/RUtZIpDcY/vPqyblv3ZDLLtOii3K54lqJl+4OfZl/aS1VAFc4nU9vAJKuhmppCEemVropuJGsP1mB1gJW/WNQ46zDKrTqZIN9czkO0C0yF+4gRxiDt0LaBMdZgyXtcOga6crSutOnV/VlxnayQlVG6F0piRWvQUVNysLGp1Kh7P1s7dh3SeVpnNtatqoXlRVsG6xhA22xBrrhjymn6lCMp1aWK7NDA3z780cC8RRJn0Gq+1CNKDnayYbnFUWPcBzb2ikpkaO0c7y8+TOHY+ETiFnNocU84iQYc6NQLTB31uJLCd9apWERFugHYDg9wPlQMShJYHFlMy00/SEUy5xIlYay/ifQhGJw2s2Fa3Gbl0lqDNH3CCMO0KNAtkH8hKw7X5hrWQUuABH2S2XheuSE3JsAbhJ7JeceJyQHzjFnIrQuZPPkQBq08uKdAiZemUg2MtH/rpzUJGaqL8ei1q5+tFaZFWF6ctEMQnkh2rCpmyvVq6ZjGsHaqTOBHXAlmCOqGB2QQJoeWGUl9+tk5kKvrO1oot0kqk0KZDrilBIlgt2mZrVjoMZ+15kwaunZNib61VmBLgY/ErjaFVsnV1yqKtDRtgmFbrsQy2rFuLZC3g3jLht0iwpYiNxnLWuIko21XD7ECCkHHWfYgmTk6subndxs7RzvLzJA4lZ9cjTjDHlLPYbrwWwSGRuIkgBzrpYMhhEqSQtVastwopmcLn3rOoQSJw5DtMEI6PLSPyaSyJLSJ6b1u3tl0xT0PQ5dSGV2QW8cq3N9DlEG871hBCOlTBBlSuz44Vk4IU5PWpt0ZWbLu0uWk1kuazwDrLMP3QJGpEsj+uSwLoGolLRrBKiRFMrXUfVkwiJUwE03lKpzEjmU25mtX6SbfZsXqhodWpzSxLeFoyG3I6r8pGoNXFrn8r0K1mCsudYt2KtXMdmPawRsBaovYDtogpKugTbLXaLE6N72FLPyDUips9ewYgZLv0Kw1CO111jW1KTAOXtirWvbpqhIpZ2qUH2EgWuKZs0vJIrDQTiW/2loVnqs5WjCblUIMPMsU2ZoFj52jn93mSZ46zm0O5eWRXJJ3bg0QjDHNvVFpuBpkMKeHNFjRIek0EvT2kkU6rBGXWQqQztPk8j5gyV34tukZAbvjUVXPTD2bhDRuZJeg0ft239LwihGwOT58at//MinXHGFrFyPrUq5EkNkFQtWCdXTWzfEuv7aUfUKt8hm2NPogxaq3tETcLVL/OVmw7Ywol9tBWcdqFC7rSlE4VCXZrxbSRpZFbpxQB81ZkxEL6BN3tNqVyIiANK+KS1zehrChxnLq32SuHYNaSK94iaGZ1x0i5iICrYIrW2ezMHq4972ErhM8m2FuQSFJyMvHpxx0TKSon1dnDrNFh6oJwcFoDq0KN1726agTB2i2I+HHk+LRfSqtIdXqAua7LHfBk4mftjamOyyEuSs4Cx87Rzuzf4372a9/63f/yRc6rh5sIp9Ahp/BShG8Wx9chR/yUdBO5GYJEcDbTUwXbKyQhzWeWYC1EnBvsIBIFfGtFqlWsmKk1ayWvCJmnydo8anXJEY9jEKwLacPK3Fu1aGJ1git/U0G0Yl1grY7PSmtvmxtSd4DEqlPbq8zoG0978TcT1+p7eJBiY4rXRdU4fru5MhvlPZ0EN0voVAyT2TVlxXWL4pyOpBxXSa0sFqsiaWMVb7jJRK1N7Qk2Tr0oGdbeXBeRdTnhWF0nF1oRpyxqFhGstSetOg0b/5QIUjaPf8rVqYhU3ZlTMCmUy21+6brWKYeo8WCscdGFMDv/HveZ2pl9noRxlD3lHGuG9RsFDuKBD5kskMQMT/8+gxOfopx7h2t6yHDWQvhgdJKeWXODLHYzkjaioHKkqgPW3cgUwTUr2FIq0kMtrWM/CoI0qZ8qBt0ZfB5PIH5dl0w0nSLXWUoYYSq7oU4Usid2uBlhaCTKDK0YJKK+CLn1BrbNyX7KD8dakQKzaenNuCXCWRMhpGKt3jqpmFoN6wLrokCXQLydTzDLYWi86oCVmeA6pZMhqKxYU5xtTBBCtmtNPBHJYo1Nf/XBbAIpJK6HqsrW2RrhtLdIeq4i+iHQycqxnzRZ2zMFRwLB+pmTnxspAkI2BawXlOopBD/iRGwDH0v/VSoN7636lIjN69hAFtuwxbMVe4QVk0ID7YkEZl0r1oYzRC25QQiWwBk7Uzu/9ySOvqecQ+kBJeLxJeLpJOKhx4jk9iYLlJZh0jn0pjeUmaI63oFMXUrWlwlmKncXaANo+kSrvxG8ia4InaawamIM63M2U2xRi1TMU2MTs6Lk1g2pBEpLYOEHKxLTj1uR3WY2+jrGK1Zyi3BlD6asGIRD3NmKlnYtbXNMbBclQwXr/kBQgchmoTo0kSxrgTSvSKroN5S8t0BlE3dpqFmUElmXmCkEVWbohWu/URSmiHKdql3ZvP2EDBqsm6zfyK3KpX5FdLKNcNSvXWXtNiCSuB6qipmFbOmDyB6GsMnMTtb2sKRkx5jFkUZp4jjQ1pvOlCjo5EK3lRLZ29W181X2OFKbJ+iQeF0FkYMr5ZTp9bKu6UkR27YED57GNuASxHVnCFrLZsbO0c7v95O8hTh5DD2L3EU6BxEQnyzuEIMcaBzukJDjOBu/JsK3+t4jHl8aQ+/D2q1TcpKYKiyNKgzb/R9MD0msCust6hoPCFdFFdC0pTwvmG0b0kqDNL+uqCJ8stTMMyUEI6x9b3NAZuW0SM7MyvGiE6lrkUAzcrLt9YQcYNtnchFZD4zxVsKiaRKk+UiB68bWqdVfT7V17ce4Qx37sQRYt6XtGO3Ztpcm/DAr30LBGiQLWqQas6Hkqi/WU4E4NNojxXjb3kSUTTO1q7qZiSiSil6gKgsmmJYOIi09fa5q4dSWxJqCX2czZGm5NK1iFalS7gaR3D5pr+52m0qwqZ0Y2Ww+Tr1SOZlBphChNx3VaqQ6LR3N9NDwYLFkIWiHznovZF1MQZYDEhw7Rzuz30/CPv97X/FMgxxEz/0B8kTg7OJsZiHYIhnGQYHb0uoqBIlsVuTWglD5aYMgEW4eh3vtSTNRNWejmd5MX9uoGP4eIToHTi1KSyvBno8LwTEd5ubqtLpGhiE0bOktcjwbrA1DqGtJJ62lOOHvrRcChyfl0KmzdWlrrYrrrqZ0nE1aIzs8pW5bIBEOrbvnlCLJavxaYq+rE6X2mie+Xk0xrUZzdS7tKk7dhFqlYmRvDdf29jhtN7In2Q38dWnMcg6NQ4gaThabSDAbYgTCyql196ZOjNSGjxE+5fauTjo5cFoujvdp7WfPj05Nb+uqzFyO73/bNYYn2vx+0t1jZ/lzN84fZw703ggy1SKg33nUrPqdBBGwKmTo9wEMuRNALArBtWL43BuVSRtynMowjjRmKw2H2484zVRNe6vpwbWluqgarJG1n+ZUEVtqBGZr/8FaSE5dEXsFIYvCaWs0xciKlIZASkQUX/29iA2nyboWCCirX8nQ6v7X49QQAhUjAiKScg7TTKvl/jCs5Sq2/ceBv9IaR8x2kZJCmxWzIcTdvVQxmG4b30WJRLLDQSLQ3KUDqeqAKtsqh4dgshRxaes9iF8j+KrVS0ZEcnNYeCJ7GP3TMVehpjdZMEtz2C4lyCxxr45kgnXDibghRqoaSNDEVhSmV8cIWVjliLmnsoRgrsIpEVvdw7Yc+HRohA2pfWYh1SHFrESSqyBtOJXlgMyaBbNub3RyMGpWRflw7B9/7Bzt/D5P+o3fuuER5whyuD2mBwiTLE52/CQy5DRzgo91SIGpAj587gpzE4+IJZxqqFrSTdwrBM27NGpxQPyaKG5qVrx0pacjDbRyNlb3wdk4WVGWU/3mZMjFqrsNZgNbSstt2LISIWtd3VXJe7uaKRKxyNYNSYmGpuiHf8rlO6BFyiH6iei3ii037RnJctaULE1nVYtmbkYbIAVnZVZsreaEJBLnGFvDtY1Vqmq2hbfInr8ZOVG20kA7Z9aea0pmKy3HbI2gHPFWhWG9OimHLyft1azN+IkR9feue0V7yErrI50pTNk4Mhni14hqlVmR4KWna01sS0uTOPN50pna+X2elGPNrY7PoTTS0Dg0TmeyOPRJZMg55j7hTCdrRXRwVMDH4YYkYm6Uo0nEqYrUVc1yxuUHSZSpTxUQi44LEYm0dHtrwYZpchP3dnJFG6jlyLXPXBRn44CsyFUYxNalJZJ4tgv08tX9J1LJiqQZ+UTgq7NGINdPFEQ3P4KJwM+Sg3VXUducMteK+AYZ1m5bz1la+Ovla+XEvasMOVKgLSVi0XTS9gRC2jMdv14addIPPRjHSYlKAK1ot/bmVpPVmDVXAuKSwbSRiKWPEWatkk1ToV6FqumwnUAjSBlxyaTAsbeIrJHaUt3PJlWD5KZnLk3qBrMQHJDenFojtpHZKIjUzbZYzvQkrvtw4qo3I6kVXM9AkCkS8U1PLkM7N25vYeJndVWNNhIPGmSNVQqMeIubQrBuC8OUsIexc7Tze0/KYfUgcr9xCj21nEVniXi+vdOS5QOiHnQPsbObiH6rpWBTjib+entzGzNbI2TJD5oF0yn8TCWrKdd0lwbBYbaiYpsKOQrxj9E2cCJed8ahTLsigp/OWSOzxBm2r8fHiCxSKKiJkwiEqt8cZg8i+Ii4Icb3eoDfNi0LcYiaUqJBNtxaKe2shdKSu5phnFyvVhfcvGSpvl7fTIFEWjMM04kpKY2fruJXVNPLgW868SoC04aNhGBi01yX5t6a1cib6H7uRTYbTtvrVWhDaHvXK1M461SLiHuthl8xPTOLuVGZdYtYiAusU3XbjdBGlgyubRDM/lTBgxXdWoTe7CSnhWbqaTEiB2QT9CMoB7KRisySq+8aXUhVq3w56W1FCWu8LlBOGnMtY2dq5/eexJeWdky5N3Q4pjjMSiPiM4Vh5QeJM5v04N5tAL/eWlGufCJ5xBP34QIypJDxzSqtVVehoE3ioMyUmmvboDtQnVvgrMvfbJU28g5B0K7S/4rhgERcQiIH2PYNTD+JuEvJgmzKKRFQEdblMBUpJN8Izuam5VooVbeLCFctRZUybi3MeHY1jSUeNXG9QJvx4+tLCcRBI7XD9YTQcwg0tu4PTg6DSJaciFirypKVYG0gwWCYYGjHmP0EbbjePghW8fjRb1chS3YI5jZPJCl7l3IzAspPCTpZFYLE7dOh/Ts8WA6YbeePEdMZmt7ayJ5XwZDTv228yMh65A6ciqbTM0ME13vNKizNip4ByevjS3QfmKrBlVA3KrNZV0RSy/0cO0c7v99P+u3/+BRn3ZuE44jDcWzIFIdYGimNyXmNAic7szW+p6yaWSDDYw5+yHW46md2TzC5LI2bMCJpe008mNqkrTtwoGAnPLwOtnozC1rWokMVV7Tnh694nLRXs1puInuzEWF4s7ULk7w6xwtckUQLBZ9Xf2Hhdesqx1marFK11XUHmtNSqo5I0TZ7s6/ti0iQqfQWfnNqG5wN+afsWPhIHfTMVL1wp1/0NN9un80eWm5TuBLeQpOtjU0F9yfb3uJ1UXCSW5dsPKcoFYljld8SN/t5kREq1p6viknHqSXArKViVp2zmv2siTkqyW2riPhmFbFu3Z958+tgnmjz+0l3j53f50nczxw4zh+HWKchHI6mNHwOaGM6xYnnHDMLp8ZxEglCBlUzSySeb0pE02lAlEYDdYi/KpvisJYmaLlocqNWkbS94t5UqxLaugNVoWXBoRP6kWOfexcludBi2RBX5C7xwIJsHOVKw4+IDgT3XAVpVbNG9mbTP4XogWAq6tce6gLXi7UiuSlUNfUtjY4lGrIVTVA+DrMtsjqbwyAKacCIbdjheqptW050VkdBODSf9Ta1FUn0LDFsXTWsF04/N1dmE8lBsnmDUTjoYRMjdSWsDe9FgtaqWwe2RdFn9ocITpjrvuVoMaxHl6Ca+qmIj8WXHydkMNtyWyKUSwl6jn+MYfLHK9hKgHUnxexDtisOf8IhvV4pI/QcDnhQJegBQ58hztg52vm9J+Vo7j1umOVQgp57fG6DylHBu5RZboAa99BzBzp01lry622MMkHTTcFhqj2CockX4ZjSlMH67LC0Cg0lK1LJVflgqm2dNJvfi9C5vbXtshNm3ZZs9eYGmlVz67Zkl+LAqbtNYi2tVErIB2uKWCPrLFmkm9uu1IpZILh3AsEsn6z18gWrDuJ7hGBd+KWRFk9LbheOFZ0FacNuG5NZ/Cy/aia9lcPPjq1qK9YrWFed3Ipti7J7ZuEkUjcWtJ9g6wqfYBNvuP7TzDVy6T+j/2KwLrPuRl0UQ9cS9Jo6Ve9fHIKe9qagbFWrF86pmlKR6/ViIpauz8AVazPuiR0yi3NKudzCkVVNHTjsNhymWpZOi4u1SvOtYhBn7Bzt/H7uVv+dySCn0CcCPhwOPYey4poiMstdsU4h0hxQZfkRr+kSeFx6A6+OKQ5TS+QW5VasEUu7tEtFap91N5pOgg3X2U2R6oD46aftxiZfVHnNPRGriPqWWAWzY7lkqwPHbTe9bfImwlyXs9mVxpVVM+KtsaitTAntWrTIOrsZp5Pm5MjdbPNi+X6FqEynXH5tGP16Ymu5zRTVNrutheyBoQors+7S2u3qWDH9iO5wOGCCUV4vR1V4eTClcxLcHBdl2zIh2DBB1lV3IOltvXvlnNVPipprYuvwRUbSecMcm9pMsAaRao1t9im5nkaXxqxqSXwxWGsxnH8X4EztXP++W0PPen1zZxgk4hTPkZro7Kbm+q0GIuHXElWTKSI8yJxanQyjmUIsoTXpMJ977YlUsrk+DtrUWrR23lLWiClgItmQinD2+EGVmYVfd/IYZab5fNOZWqtUdiyzOImEY3pLqWrNdyE4JtYLkU1jb5myvfUKxqmXYJPJsMoGa6TNbjYGGrQlI5TTJ57GKsEUBP3ikS9pInUlrKeOIGp1CVFLV+nTipDTA0F9MFskH8fNoRmZ6UFHM0WHxlRDIV2lDbMSjEPcRAsZF6vOinX2xfspnbXEAfHDxHdRONk0HWbxjbjeWqii5eLXFKWsKGHtsIrcQsRyyNaKdp7TtU4lKCLVSrThpixo7qqz7tXe7q2IjvqkeBONnaOd33sS3xZ4BNth5fTr1KMvcoc4FQckPZwEM9Ui1M0XFTBfpJmtmqDxMHMDJwISkdxyE8yXJXGVFeG3VjcFQWhr0ZW8LnxvFrW6Ia2rlb8iCvDpwaVB3lQLelnBtjkimut1B7P/mU1EDr7NtHhVq/66eyq0pbk5tUkV1irrQioBP7LH+xk8aGxPwYr4awoRTzsGZ1Nh8yCFj1NnM6xZkl2yu8TtbHDd8GyjnDprikFLu6XZbfXbxiYLbLM4GIUSx9iQaKZPyhmhEyNwrCiHrFvjpHRaqp0zVRWcyl7FQTZZYN2KtoRUBGsKUmwmHMlVhKHBJN5CBD+FmrPiOuUCEVG8laiFaLvliubaxuYygwe7VyPk4qvMlTU+do52fu9JGAeOI+jjG98j69Bbon3tyRF31hTOOiLe+c7iSKhSokycitwASFVNRGDmxhO9gWtks58EV038VYQp4q3ViDRksSsnERCThriR1pWz8SG0fmpXKtTeopZNdkU4JvLg06krXVcNbrbnEAJTa0rDKluXs1muIUwr2gZYF2Ub6SFB/PX8gMRxFFQEx0I2Y3vi5tVppYk4VCq5UWgRET61UGjNMLQZHPvhMq0KqQjahq2yQJwar+Sko2yVijkPkNcqxjlgETFuk6ZQGoe6San6kpPVrkuVBT3JZtV0nPRZG04bbeqqHB2xrdT9xAmBRKfsuZLBdulJyWLX0vamftXECYcGdCqaeGuRtedEICTYpoIukNnNEhWlKZVjSYqzBFVjyOa0Za7K6+7FQcqTw9B9xh87Rzu/9yROsM9HDqIHOjd8kHuAA+3940F/8OavWCZFhymCHF+GcOIEkwIzauqDDGsupVO0ojdwjbSbrdVd+yGrvnO4upoCnhLZQ5iulCEL1GldNXT5Lid74tRm3XVR2ZYsSrW6XZCzXiPpU53UimxtbA9rCRXMWq9UltYaaGtsq1NNJui125QF64bn9CYLsrPienVWp2FrdS+SigazEJsB3ZwQam6NpA1WStYaB2uKdTc3x6EVWxUbrhGxNqlIFrLqpyWc1gBBnxj1qSKBRNNzWhKJSO7WRG6NkwhIhG6zD/TsAwc//EpovogOCJk1muVutIr0tqkgQTLLr+0l8ZYjaKZWq1sPT8V1gUQUZFgXmHKbyqbIxzdiSs6GOlWZIQbNIZgqVQo+TmbHztHO7z3p21/5PQ4fxz1nPefPw+qdwPmWgMMUWA9uptZTjjmUv6rpiCHfzLu44TPb7slEbKbVDW7Gm45tOMUNDJ/H1hqpVQ6wPvLa018phnReIzitGZy9TqIG1rqkqLNulMisTisRQTe8ylapPb+i18I2NmebAxN+29u2OtXqRoG1garmEjD4IPH6tRkOidFvVycVawTMLqGm/kEE9JLZT1WjdG0GlF9xbyvAVVDMVQPbekEFzQXts1VBIX7FrILO64qUMtIuJVnpNgSG6761Pl9SrG9p+R6PHrJ1tITjPtgbSKt1o+LnCDFUqh7stnxRctv2eoYrrvFbjthMPSEuti0kp4LENeK+qZmVZlhXZG5SQKfwIaMpoeowtPM4Vb9GcngU8TqOnaOd4XvSq97EWeTU1gNNRAesj5J6TKVxgo3gGGynPEyDeVIoUmVB7gRoxk0EM2suHAlRk5kSwTUiVs2oWRoCW6GjbI00rPp7tdpspJoDwTZEezvuZLMiTBKzyXWB8IlsliCS51pFBKtU3X9OBbNrCRwFW1zm2gC4WbohzLobpLfDoBq+1SWAEJySWXVOR1OyukRwasRWGVIlqzMRZIpNS8MiiXtLXlHBvVnrtvVawg4ZErfzllsxrxT1qvkCgc+UK8LJKuqU5fBrD5nKvqXPlxrtob4o6DOVrkSH0syqsxWzCjBSlotIGqjxplNvrortbId51UjtU/QoJhJCnPRpRCk0aQzHYW1VPujhwbeHzFLRKYa1StXJ1Vk3pEbackgZO1M7v/ek+77xRc6f94An3tNphONYn6G5GRrNCLdHznROuYT6nKpnHay3rndFBJmqTJFudSinAxPHEulhjQTVb2o4EmwSTIqR6NCVkaQQ2asl5m7fEzd9c5M3s6pmxbqZ6wJrXLSE4mDr36G0pESHoOVqCXUYsoq90rXJbObe1oHy4dRhUzZoyma3caJzOtoh16hFwETonwglrCIyZaJTtQ2xSoHHm8CWkhVO3TriTT9O5TOEz/CgYs6VbZOijmg6HIf1WkSEIJF6AFIli91UWCOnz65MsW14xbZ2hy6ZrLQKNmYNygdtQKdWMZ5chlW50WpiOod2CxHaswRmaeLtMZVO0l6L4FdNsbaaTai7UbvCB03BsQqz9Vl3CtZ00bWMnaOd5edJYD2F+LkfCHouuQ3wvYsYmiINdIpbogY30fScdbB+vQ9TQaZy39JMsgzm65a9mWgPdl4jUc5slBUJv9JA4xBopjkkrlPHd/sBUrQuBwdE1jZqS8dNguoE20orUqsKtr3K0H5yBqLgo2rdQ5kEN0vXJlMiF85h9eVHvK3REnZCBI5OI9QeDq7CLSAVkaUrS6Rcu1hrPyARZsPcPKsgTBbortYdowGclN5cL7PwdUCmIrtZsaIdRrmmRzxTpDx48y/P2g9MzKm1ClNycoSiCdmIUkRy8BJhiJG7ZiWyHteGSNWu0iR/SNyc2gxaJVtBV60KuLnhJDJln2QRNGXtHP+qkdoeDg3otB4qpsmKrQqYldYqcfjTmgGTAgeHBZp+jNkHkKH91yaJjJ2jneXnSRzHnEIdj6Y3vCeS20BHNCVn2rNLSoa5Txoytff1BoxsrbXZQJtKCVvitmyRisySWEsj0lYkDWQ2tU5xrLuqXYqkKJKVKlKfSvGzw36ZIegq0kbD+nCpWMXB1nz2UPGDSyDaCYn15OyVbilWoUT6SW+NybAdm4rMrhVrJFt3C9doRdRqoYp1LTJrq3u/JRNy3RCZ+JVD/8Qxy9U1NqxD+KRnb9tWtM3BSaL6Nd1hCPh2aBCsvvpB47UxcqOTWm2KrsJZs1okTt2Z6tuGTYJpr/qJwGkHJolgNPeQZlYpE+sSbC8RsfZ8egS1WtFbcu28Ys5hw9OrgPgrLajTFlix5rYraK36yCIydo52lp8ncfI4hRy7zdug3gA5oJxgZ0307Dok0dl6xKPmrciQJ4WyEHLoTUxEDLMGG6bEHuZOA9U0V3Gc2nNLrEyMTtJS642hiXs7sOeD7CE6VW2vJXCdQg2ntopOmq8Pl8yCDM2tapvitbED9CWAlARraTENIJ4dE4nXlwkwS1DWYV1aU8bJ4z6c2kNWpwMnDZzi1whV6pcfG0hpG5YvE8SYzZAUMLRgesssfypTBYqitq6xtdSCEcm62p7EsUMXRTnitQeHtZCzyYq/Fq2JQXcGzFoSkUO8RVbOZpZxkHU5lSWkpRpprYLqtMMZZDaXviIK1mVYxev1TZ+gp6JGrBv/9Ej2f6/n0zGa2b2sC6zMbFRS2rZkmPTKYWfMbbQIZg9zacbO0e778Ic/fOGeid33jS9yBHE4dtwGHseg8Xo09Yk767AGSfSu4Kwz5IgzayQ0hsa5uyha46APi8iGINY2RDsxdw/bl6Vo1uo2j/6aKNPIZnqGxzsQAlVUluNuo0Akzx2DtaWQHWLJpcql7e0F83QWU7eK15R6CZqPAn4lr5gGILdNwGFYq2f/jdMJyDDnh3h+9bgtbXP50Xe9cBy2K7J31YzIhJCLJaYijkzVcCxdt0vM2iumSo1UjoJVp2Kt0jaBqYi4mYojWEsYaQpE0m22IspZcoYwJaQoU24dkbZ1Lxu6OTitpXVpxrMKmMYrk2HWq1MxwXaVq/5xt7eGlrbz1vNV0e1yFei0dWWv1Le0U425OVQ8wVW/kW2JoVs3dqZ236/92q9duGdi973uzR5E/jBcjybBelfjG3S23VQ1nbOu08gZ4mDcYJvpTFkXDAH04U6WU+GrWRX2IjhINXEE5aTtIDQIYPw1PVhz1x3QqVO1nOJZWprfJIPpOajC2l40azB4/MwFEa8p9RLkVOhDWIuykBZxiG/nrkuFBNuiWpwhOgji2w8RLMpYClUkJTrHV8SpxnFPGCrVlJnSX2WJ0E9eTYJEJIC54g3XuF0hWJGgmhSt8Vou/ayCaySJkUp6nNAg1CyHYIoyxdDjZIdYbfulRi9QTktaciHr0oJwTK8Egjnw+G2frZVgUo7vrBeDqQgyBKnIAmvPLifBU/x2Ytti26ZZunYS5qoA5umxzrYs0DvFIVtHhzDHztHue+Mb33jhno/lgIIcPk8qZ92jyT3Q7m2CctpXNfgM14PeyKDKchJv6WCrW9G7l6xUoQel7HwzAqb5tC1yn8txFkuKZJDNqSlifbhIzhJMjybNtEjloKAIncTZI4ttdZvtNc3abfyqYC0iNa4DmamkR3MP60KaY2nU1LeoUwmmGeNpRiTIMUCwJsqXbFCsqyYlOjkMYJRbpHFwUItUrcJQJj7Y1MDNk0xu7Sd+xcSzJ176JpV+GNYli0aYYqhI3dK1tBFTIhJC1gUtRWuWTHMzhUNRsqLAbNquPb8U/nqBaCkLaUuTwBCFpFcC8bb/FdvugQzBlBPVh2CJ4/73fLFtoxVtIz17xQnCNJJFkVWfJ0kkfrBMCFW/dVL7efERMA7l6JCKY+do5/f7SVg9iBzx6jDLieTO0eHs4oQsZirBzSMOwuSmAtdZ/qz3obK5FcF0YiKzOhJ0uH/WSBMnqylLVg2kUB1aFB1QP+jDBf+UHdhDm4msLeFXQksJ5krV97AVW7fVrxfdzXGl62GwK9NBxevxaJFWPRH0jSObpSW3Fo1mmhFRg6myBCLycdpWpJxYda6KpFfxrMu6cECmXAV+jlwWImaLVuYmwiGrnmSaiYjV3RBL1AsNQnYTTHEtbUtBdFoEhJ+2IaxdOeUw4mHWKTqpS7BtgirUy0RvTiFVO2ddZN0aB8c2iDNrn5toYziqKdVSqIhsCom5IqFZjnhySWk6Lf2qa0xRhxGsVcRccfg4WWadigNaSNmKqehaRCNipaEQsvEsKpG6CTWSQlUWpBwOwbFztLN8T/Ju8fy1E4nPieRYe9vg1MMqepMwlaE3Bke80kDV1jioLLk2ACcVdVIlNzCJ3Es4IeiAaySylsO3SWkgcYbSwHbfwqlfHjYxKZTb24E9JJesJtgILSVoz2v66RgpGiaCuW84ieMwdDMb1uPRnIruc42omceo+uTWdeUygcYz66ZFzSZbcEXaqDpXxb2TQF0bdpmugqHBtdu6V5XZzgxqxpOLb5BZRaiOQzx7FXIwCjDTUqowZdBmal0xOhYKp5bIIXFWprthMDpqYnDMlVbVmE2ukZDjXJVTjzFB+9zEXE1EcolbilNtCbWutMSr+KpjieP+29TqyIxfq4i5pkayzEQqJxVX8VpaHRB+CI3WhlFuBHGzUJ0CHaIzdo523zPPPHPhno9xFsGcwnouiefmIcIwt7Qp602CWnPAKLd4Q6eQ4onf7tt8NTVuOSM8/kJokUqupY3QlTQbWJcvVqkVmcXcH0UYmruutJbQl4wOPSto8wju9XOcflUkEUEvqMvMJjNluVwXg2kvOgwNrpGgFyiRdXXEza1nTNyMk5VyIOcQkQzFtdtTLsqej1Q7CdGP4Po1IzotxWFlgraXFIZtpSRmCQ5R0AiC0oKtHGhukFrmxrFuI1gIRJAgftuKmhJ+3Q0wPppkpStp7WLlwKSKmjVyJY4d4hOv3WaZa6QKJh1EwW5DWDuR5tIYttMLRseUCMpP3SgksnKMhAnS7VrxSujyI9iukUF8VpGLXgmNVodgIyQLqbqKygTdZNBZ/LFztHvf+973fvzjH78Y3SG79957n+NBd5p9/ve+wv3AyfOmbciphcOhxAFhcvtxpuUbDHKUN0VWTMXN0q3oisziWE4//NURj3uDnNIya4csuUqBBLmZ44ewVyVqm5wor82vzWxuV81qvV3qm8g1XZcJ1m4rvzmb2KqsuG4FKfWApW46rCmQpTErB1urJBin7eoaWafiIIK/6teUWqWuToQfB0viyhQhsHDJqYiln6ZAJD20Drkce1WOcRXkcrSLS7Cm2FgOVT1g2VIbiwjDRNrU7cJ6EXPMDi7BZnobqhaa+4zftkhyatXNyWI3BY8x5dZZdBRc13U6rs2kWxBf2uZygnXW4dpzsjbTG1/B7/vu10M+0a70ZXHsJbWLn7tdv379fe97HxcGe/DBB/GJOHUXGgeOg875CxIEuQG41TmUOgS5w+Xz3YbnlalgEznAVNTh0NfZFK1oA9z2IEM7hGwwTAk1Ika/1RLjUEXHxpBiyYqkAWa5aRMJAb9qVsx6Vw79pMnWfMhtu2o6mMbMar1Fn1xppMhhaARCVtFw85vL1ucepmJy0yoRnKyCob4pbZlmOdXIOmpK0z/oFtqa3iLrFI6bgN/W4pAthWnFWiWYthMkHWZqVU4QjpfGBZplaflEqoKEzR1AJ5q5rKcgWVkUEZeMmn4KQav/bziceqiqTw+qJQLCx7FVS2TqdiHKdYtyyXCOF17Ts16HcBJxf7Iz3mWZkszFUpnZttjoGzwRU06s7aWoslfyRUTqEizhUDSFeL2+azN1sZLjBw/S2bQ1Yj9j52jPf570wQ9+8AMf+MBF4AW7du3ab/7mbz788MMX45fSrvTi7OdJHDtOobcKh9j7hBMJwlkdjGNKlhHPLlkrRnCPsIeUSA+tAXDt0yA35Bq5tIcDQm0jDayOtU5ZaWhxmo5I5ECwTdXE4Nokl8z9Wacaoi/TUxEHfiMc+OBaKE47b+saT8fWrU2mUEPix2p7GP2otRLr8GCNBHP7SGtVkoVONCtzD7MbrZ9VYbOxJiVBNW3VTFDxOMQbs/F1DhrO1Iv0E9lbDreGU+HEgbOmm1U3U1oEV5SMiF/1N5nZQGchtyVcilU5FdN29NvUykkENYIRT630Jr/SKtaUFSOyF0n66lD3+992jeGJdqUvi2Mvqd335JNP8pLEW9HP/MzP/H9u2vvf/34mbty48bf/9t+WdLeZ9603Cb6HnlMocih5EIA1AnKaE+Fwmw7qK0gitM3v1Y4RKXQsvfl9DLLqt+BmxEXZXm0ykZUQtHRrYI20Kscb0hymVMhKwSbYsE4lpeHabfZn5TSUCQd9+tcBG2HPXy9Zq6hgW8gtY+02TaZiQ2abQjsMm/FsAsN1UWKW5pBNkL+uEQJfhOSHJtasdiOAmzdLQ5TB9FOROOJZV22sLbYRSHdFTa0WUhyyDkgwJ6FigibmzFTxOqVPM2ZRoh4z1pst2uMYcTkOQSyzWWlzmK0NOJUOs+0E1clUQ2ZV87qHmQZYQjgMiaNZl38Kkkti/LoQO8RJoTrVOIkwRCpN1lr2Fr4EMZcDXINRI2u9Ri2y6kTE9sbO0Z5/Qq0fHeF/7nOfw+Ft6YEHHjD40tktfJ7ktw6cvyBTnFoOZUWYnOM1DnKCm0LITm1W2cNk2Qa49mBwr6UWh3wLbYir+Ir2aYk4rVb4WU4cbvvNRamz11j0rV4TlT3AlbmZWxs4oK2YpW0is5cuao+wYpTZRp7vrdbmSq9aoiLpa5WK0toaW9FcMnDvKjMFzVn5e8yIm5JO6tqJ3/LCo9PE6z4wVVMMtpTTg7XzYLtNNp09TtYeZTcTR9re3pLeUoy7fCMRh4xF07o1t82CRGoDRrSspeoc+GCqpKV1RadjZBHU2atIsB4G028u4g/XG5ErOWCrGML8ftKZ2n2vf/3r/+W//Jft52sf/OAHdT796U/r3FXG+fage2N4vjno3KU43AZBbrwWAUnEaQogJ1sRh1ZxtjFbJIIgCtwVmz0QZ9Yq+mkYHeMMQ0ZQ/vot+Ir5TQuQdFqyRMW6P9aqzdNDXTJYs7AsAdxbVE0H275FP+0RUWez4Yp138TN3JRzCkyroWUfaqLkPYQTZbLi10WtUy2iX5VZVPw0s66rllhxLVoRKXYgywzWTZDccmtRmDWdyFpUNTB8SjROUHEXmB0A6w2LgjT8vWO/h+18inW3QSJpKVtd+9kMVnTWnaQiUjUCIYe2pdTIHif7L4Eph1HYXDs949hMUkQEE4k4EdXAuhCZqqUxUbIEmGYRZCprAS1HEI7xdaMUAfHhKHjLuHe9chhcDswEMTs0naHpTeRKEbDuQ2OOnaPd9/3f//3veMc7LkYv2EMPPaTzhS98QeeuMu43TnZOP8gR56BzZ643T+6B+NDMwqnnOLP1WFOLIeee2RZJLr5TcDYfXnuoCEXVqQ6E9Kw4loor2qE74yp02sJrUME0DzZZaDRJFrMmHiP8JKpZr1HVN05KlDcbrn5F45u5aYDI3m6vjs0clybiQihnFTGrq1ObZMtZqyqLWQWENdJkPYREILiZiYSDtXJ1URFPh1EQa6Eq4rBdWVBxnPDr2huakmOgcsWmVpvZFKy4p7bp107agckWrYkV62WS0xJPx1oCtSyHZuoaZYYguhbOWNLbkcBxsfqZSsW6EHNVa9siRoGtA02sCE1xHCPrRuEgAuLrpMNbwM2LWJHlyNxsI1tX92SNHM+uWGcpNHaOtv3vTL7tbW/Tefrpp3XuKuN+A+tx9CsQt2tuG06ndzI3PBFuIWi5t8nSyS0UflOmlk7iiTS0ruVqAyuGk/TmMAvNRaUuWTpgvff0FcyDALSWIqlYg/gRWRG+zx1oSTxeHbIk6rQn1CaaeNBwvWp109J/y/XSmAjfIEM5Wd3qQIAZWaXMykrXkwBm80FzdbIVRNrCSVEZBZXb1QHxawQCavDTg45Sm1M4TtVydW8jvipUNAhHJmptOWLEGVY+vlukYPVFmWkJgl1VtfBrh3uyUagYNYyzUavUhdQGbKn6m6dRNAh6y9TIldA+9SnBclLFNWalbAXBrNpI5YPZrrpvTK1XLT20XP316hAhVx1oVaHiuhvRr9cX2ajtYf28fM8H0bGWHdbOcVJls43ktj1pkeNZMXXRrLMEx87Rtt+T8nr0Mvxy0i2Yp7AeTW6D3Cqip5PTH0cyDgSOrzeGNwzmLU0Q8aqcO6pFQqO0EW9Cni+Kx4FgrWCmItIcO5GD75QdSqj3nn5NWTEVK5qVBTa0bZxNnU1BMI4iWPpsCKddsorRZ2gnddNSpSFkF4W/KjhL6TjZ9k0pnarTssBsfq5yRHSIuxW2jVNPmpy2mZEK5nLnAqV6i2xyFCGo08qtiRWdxVeBXFB+XZoOHDcnfErsnduqnJb2ehNTjqHrMkJWaJawOlg3k0irkiWsUzhZVIIMFUwkOvH34qf4FSnBQmwAdBtFGmOx7kPbnKrQpsSaooL67QaUo1/3JA5T9Vob31vLHpKLApcsaumtYT05ez6IiMp0yHqZrcNKWNtglv7bPtwaZqMsR8SdYXbsHO2Sf4/7Lv88KYePx4e3CueSIbdEboPmMJv7KiI6TiEuv2F7BIQWx9Io56lklXonpz2Hq0gcaemNSAibd6bMlF7RimkDqVWnfnNWn8hJBJtgVlSD+HbLbJpvG8hUUw6SjhPNbKCR9VqjnETEwcqPgrN1S91MnE3BpGc2WTpBaHSlTk0PWQKIub0I0lUrIdYDI6JTL9NVca2SCEgkC6nXqPrSTFz3IU58+e5n4wSjbycHvdVOqpTizKZKRdPbZkbcSLolkqvvlJqKJwhu3hfrJVvj1DKR3oxbMScnEThZFKhCvaDECSJycK1BOG6FC1n97CSR2jZtEEQQRIdgZEPDz+4lpa4LQpNdEZoKUUME3Oz2FKQBpHDQtP9WKE+PijR8MHtVRA2HNhQEMXdGf+zs7L43vvGNF+5p9sgjj9xb7OV/kXrDa1/JQaynsN4q3Gw6xD24kKtDPGQj3lrRSWJDD3oipoCJeI8psndvpz3xQA0C93l6yyrwMfQTh4njVkR5baBGaMNcNYOUg6Bmffi2D7crui1oMkwVfDXtKvucQplKSm2SuMNjzGbWi47CyhSzxrrbaQ9C1tIWZXr6T3pypYH2X/tpBIbg2ptYt6JGSKlFV7RK9rbiqrnWwleHzpNVrx1OyOGkgdSKLx/myglmP6m1ebREitrJZjkizCriMFtRF1ixxuFDBvFz1erU5kmouFbZq4uCUzhG6jlxKpFsHXE3oa5LDrguue4eHCLZJbD5pJhoRE2rM0RWjkE7TGkQDk5SFNdPUKfmVt8GzALTLYlZkb1hicipqzaSBpxtEWgWXdFyMo1AvmU/qxbThk/RsXO0q/1/cB988MEnnnjixo0bz9209773vdeuXXvyyScvpl8W+9Kz3+Qg5hSCudkwTqRD7hNnQ47DmZbDQ3DVSSJYT/+K66wNgPWpBKYimCBIZFNHPpwE07xxhymE+TDFMcvnex4WidQ26jbag2SYYJhgywWrsukMKzPK4FpI3xRm1yYZGjzGtJSIzW/yYaZ0GmAq7WUqs6QcpIPJlbb2LyFStlcf4hVzbDwApGzuJ1i3MW3UYPwoBK1OrVSpq9BJJE7IcloDLQInzMpZ0U5qexVtNeS1aHBtuC5870ZQHFlna+lWl2GmKq5V1ouY6iHjG4lUsozgUxc0jrkuI5WTJTuVWiAcKtY3pwNEJw2DKGQnDdaVVpo+IvaQOH5mzc3+RDMXVLIV3W3j6WGNrA4IzQbctxaxaLYo6424cZzWcJjU2uMQib5OhhEfO1O75D2p/n6Sb0if+tSnEvyVX/kV8Bd+4Rccvjzm50k5hSCH2Luds5gbJnc1Z5opMPzcQgydChLkTkDBIX5KGKml1weHCrUNUc0MUasE+6ltpENQ8TqbeHzvVUxlnFYXQsoFa+euhcTGaa0Go0xK0h36zI1ymg+TWSO5cK1tcS2918webirUnUzd1qdXGacm6td0MGuEkC85FSXgW0i14/OwElSopduZsUo9kPFRaC3lYsUxBWyCNeKFg8yQKYfOul010jZWJFj5RtSsWHeDfYgIEVed9IrpMxH465KdxSEO1s7rLmVKfta+XqmK7apl2OLisZTV7QTMuoxUDnHXTpDmU0v9LOEAYaqfx44K+CHUzdlE1fCTvmJ6g2Z7RFLCOEN2e72ap0QQqeWsUiPiel2yk2ljj6nmJidTiYSguNs7do52yXtS/bHar//6rz/00EP1HxHghen973//xz72sZfzp2/t8yQinr9654AczXA2kT/rDU8W9wwOHA69DsxUrKUr5ubxlgiqVm9mEBGDtURDpepsLWFcH012AETQrwf6zKZuffSgY1BBsRZ1VqytGmkrwm/pdQMzBYYZR3F0vILRVIEgnOPIZmOJrM23y+d2wUlQvjSyHG4y6+qIewngVKQlCDlaBFFTs9LSJ+TEw7QQ/sFPPzeRLHtQM/tjz2B1TpFSxyEpCOpkV+Xj1O3KRoWmw2zbNDtcr7IiOqbv9RlUwd0jwtDcNEMQ/XQCM/tTp0xMnN7iK549MVKXYwObcTC36iamMfzsM0hFnCjU+M0W/vAx6DaGENrq15WC5Lo0HCJKrR2K2TTV8DdpwWxIlk8Wznp/rVibX3Gzz73O04aR7Hau7x4TPOBkUYlkG9Pk2DnaqT93u379Ou9D73nPey7GL5ifLfmPd79slgMKMvT8rXcRkZzXFUnnJlfH02wW94yceo/VrKQYVGS9z+0HtdYSuNZKJ0GlaryWMF7LnY5pCUdZhrZhe5VMcM3SkZyeCYagWh4oYpg1ok+Wua0EU20b18iBA3mN2EN6NoimnVSaO8OQ3V6ZaCpCxNmKaRJm0utUjShbnTprIabczxwJmHai/hpPenPChKNDJP6KCJrY0tcvGOpYHaaa6xcP+XKqcjpkyn0gYla9GaliMJ2s6BQKVE9F0M3EUR8RhnaS6nXKRAm11b2GV4541VkF9dMz6HLsx8bq/mSqitS9yrWovgTMoc1k52tXtc/QapPwG6Gmb2IdpodNrM2vWEtfFa37YhT2MNvo/uOMnaNtvyflJ2txrt209Z+dlPAy/zZ3vQMZeqvkqc2sdw5ntJ3adutC8FvP+jBFpGWJa26cfBcLxx6It8eQ2L604Dc1MIVaXCQlS6vlFDxGyPIzVBYn+xAyN3Ylgy4hEcl2u8qqeYD5dMQGSEdqrbVu4xpZsw4i7lt6FrOf0ggyzK5SsTHtWafORgGaEYb1a7xq8YM5GOtsColpAMfds4E1HpG0ZyRMlUE7rJ9X1aujfl2a6Q3VAfXXzkF3Pnzbq5hWsw9NAawrTbwq16lE5CCeRdUOLWoba+nNVsW1YTD3TjDXN9sYTppJRE6ODcF0IkKow4qQq1TdK6/sihBIoZZO25naLS2lfwSJUKI2CVZyS4e8ooSgRYOUOzGCWnRSDkKLpP+KTDWF24Uq04YXguHYOdqp/weZ69evv/Wtb33sscceffTRi9BNe+SRR5544olPfepT6z/qfbrde5X/kc0fPPP1G898gxPPseMgevi8H4JEdCptRe4Zjq+cKnKctaIVsUipXFtqCIHnEX6tRZCHS4YtGAf9JEaTB4GCa4kaaV0pYjzNZxa/ksFVE6yrPnFRbYHpaq14VVw7rJG9um2KNtoQk9amxFouKWvuimu362ykVoSmvik5EhyGelQipU9wUySHwdxVB6yF1n6kkeXGRmplhn+8A3uJFWHu9bM5RbCuyyBttFsjnEzVVo/bBrNXB1OnOGKaqQvZQ3KrQk4Fkbaoug/rDtStg3DgYPBRiwKRdO5GGTneN2bTng5x2zglQono7zVQHSs6W5uv8Vvwa4Ra7pL4Z978OiIn2pW+LI69pHbqz938POlXf/VXL8YvWD5wetnsS89+E8z3QxxKTiTnkoN4c/6PfI/i7eS91BAmtxmoLz9ZctbcNWJFbjMc+1E5aqCz0NIqt1CrBXKjNvEaxHHVJuqjKUYw5eiBrBZxmCDKxkH9kOs2BmsVsSY6q2zrv+5b9UmsXWU5t4yuZTOy1gWdSrdi6xZO1sswZy+oOE4U4tTcbCxkI2yOEZjZhKD72ZqJbwq5ktEhqFr23CFYtwVyRAzamMGcNyIeOf0UApMu2pXKzOaCRmoT5efMWKLimtKWbwRyC7aplkUwjfHHK5iexXDqVD38zDLVGq4oLeuiUPQb5zgippn17DV01ZHCN1EpdODQDGupsjDxUx1sd/GeY676aupHKgfPSN3DFe0HZZ16cTO1FwFRiH46WSO1YmbbAUBcMvpyvJTQiBxzagQnH826nLFztFPfk27ctLe85S0X4xfMn7jl/wf3Mph/3w2HY+eh91b0VqnPRHxOKueVIUxmSSRCClNyCBIx3Vyz4EBQOVmbEXW8Z4hbiIjxzDZHtLQprkXZinUWx0Sa1G9PSTFVGLqoVlf0ToYTpvFGVqFGapzEiBhXtvWPpkOy3EOsJVbZ1T89shd3XfZjBEeazaRnO5SZ0xWRkMnFT9xr5FQ9ITW3OaSngb2FQE5vbW9JyUU3iK+aZBTa2ZBAYt2HuijjrgVHH0w/5Ka6U3ZYOSKRcOqtZ6T2lg1hNulrSr0uiVRCUkCWb7BuIEgQpARkUyxXkaC565TIVG1VXCNZ12aVlb83SzmaB9sy68Jh4rTj6qqNgFqawa+ztWJOmiXUAU3BsQdzTal4+tKqH3EX5cWtkdpJi+CvR/2WUU1aiuOG1MiJHK8I26Uzdo526nvSww8/zMvQJz7xiYvxC8Z70rve9a6LwctiX3r2mz4BeQZxEHP7MUUwtzcYAlM6RhjmDnQKxDdXDndvy9rUafdtmPwxzu2x0ozsPSz2IiBq6rgDGVZEvMa9OWsDQWWZDTOzaRKMAi1JcFHEUcCx2/AhtM6ddVg3k+eRThWHYIQpr0j28JTIpo4RhtCoblw0HT/drshsLaEIU16FiNcsqrO6NBNM3USyvXZivC6nKQeJ55Lhw/Qpr4h7i6NIlcXxKuCnH5AIzKpPPDumbHLh6Nih5Voh0hu5OukNJmZi3YQ1ZQ+PmYjjrEvz8olG0n9tMv3Ui0JkvS/IahFQ8VypinWxx7MopHmwrVd9EGsXAkeCUjQD1mOjDg5TteJaK8wWN7cuGTxlae4nzSCSWc/wLSAN4LQ2roq5xK4XNR2wOZna5BBskVypsXO0U9+TsPe///2f+9znPv3pT1+MX/hLcD/xEz/xcv707Q2vfaWHDx/Hx5DoiQwS8QYIx5sBP3fXXoQ7uWUd64BrRSLcHrWlik7JxDeRG8xInsIV6WpVwMltCSY3kYqVyUPBVTTOyhRTLg65irTGsoqsZXMPfSqtmpbenLo0sqkTx52RUJFg23/XRQSCnFoi5HZsggSxzQthMzWyYq3V+kmHlc8QJhhx+NKaGk66ddYpI/XLW82tPROXo74XF4eKWW8qNjKoOOju2XZaNau2lFwsiUayJ6t4RWftTb8up+LaNujQVhttzdokVNwrvRcXN1eU9eLDAdkQ47kf6SSEtUQ2sAZFUlotce0BrJuz4im7LQds5cA0uYdm+cR24fRjVw03/6ZCxbRkUdSIWyVOm6qctOq214hrGTtTu8J70k/91E9du3btx3/8x/O32374h3/4oYcear/Z/TIYhw/k5HH+csS5WwziEOd0QvMmbDcDd0II3lRJgXBwmzWshYh4P1SOEe+QYMvy6aBDaW4wnSCzNWJuUNl8DYgUWGlB7ur41jKF3IjbGJotAidS1gURRCSa4rqKFS1RpaKQ5SSyck6JRMdV41tdQhZFBN+pdJ7NWZXVAdXHmPIyiUZAfZsJ1kuwYttqRVpj9ewFTcmSw69q0ihBXBFnQWblg1lFUmrP2avgccVGTkp2DyOSZrI025DvrMO2FcRPRxJRXi8BU1jabmu0OlMQKi24xhNpmAuUZXrFiVOoRioHx/43v7qDFlXcniPFUMK6aiJuSA0G1yqbSC0cCtX0LIFZ666LAt0TUE6uLAhNfzO4R1BtrUUEQt2BdTdIySqiSdBaOrVcIgdTRNwohpYYO0e78m/UP/jggzdu3NB/73vf+/GPf1z/xdhV/77bZ3/3y55CjjUHEeQBYYRT7jHV4VbxgIKcdWk4ZIUZIxKOKcdYC+G0ZmoVlbkzU9F4ba8pOxVns/lNXHs7wJCN0Hya3IusuDmVfVhXl7WQWLOyRava5uwpkYqUq21k2OIrrlLG7T9bVK8mU3WZx401hF+H6yFJ8Fg5J2c9MFWtipgSh6maJRKs6VU/6SFXZsVwTGnB7ECd3RSBecypuLkVYptqaxTXrIrZw83IOgtmmXHW2y1OXSZq9WmQrJWZheCEUFH9tdVaYu9GFkPYVD52Vty7mpe2kVzE8ddadTYVXWwilbPXyVURKS6Qp2v+vtuZ2hU+T9KeeuopLp52W16SbsE8fDgccU4zR5AIQ3yRE8kZlcmdID807jcJoOSkyIHcMCLV5/RXHXIRjwKOs9AY0qotYcmKZkX04VRHNRyGtfmGzML0OzwitITCHtmu0KxxxBHJbmxGVqyFkJVvw9mr6jOVb0NhBlNrE9fZUyIVaa+2ka6YyjfHK0Kr63XfiJuIcq6ssiA+kZwEhjQWnWwRCi0i1nJEbDLiCtYqZkWtJoKUblWiExGXAKHqZ4FNGULdouiDRrIQS7TmjaSlBGuis/gtMUzQdHyL7v1IJT65Pi4YBtNJmyKylssyN9E9XCM2WQ8AQ4xCIad0RBIJJ/2A7WkASvaSVSZ/3AdFwBwD0WBtXj+n17sV8rqrEOTrmB5cl7BGGqqZ5iumn4Y5XeTWlbZaUTaY615vHzmgCimxYoqeEkEq9wjiY+dod8Ub6619nsRB5JRz/jiLHHQizHouRYYcTeIVmSIezorSEOdwV2eVimDLrWhLtb34K/kUVIRaNMYTqlZ3QyDwKMzOMNwkO+Vsix9g1WmakYrjStcl1D7XrsDNbg9mrxTZ62oPSfQAPL9ZNzdfZz1yRnCyLiMouF5M5oED1uaJH7cELeWqiPEcAzGE2lglrJtjVlVO9bauxEOjq4isymS1uJEUYlj5FUODwzIvvUPDaSVUqMNglqNIEl1XYx5HUiJXKk5S9rBu44rrcnJlcy0OjgG4Nh9UCmdzh42beyx4HGk+rbYl1KIJtlkTaUNLoYor06msInUZNv0Xg6lIufk86Uztyp8n3Q3mdzOcY08/PseRg47DWQ96TIlX5K4wqyJBszjT0jjZzdnEZOGAfkMThOOUTMvh46QQWP1jjAjovWd1I9zeDPGzM6BbQaSRnYp/IlICdLvQpKvMWiia+Da87knt0xQxva1LywUy/ZYjDDc3tmK7HDkA5KKQlRJMJMogs7UW6DKTCJqyGQFN12/NiLZEorRsYxUxrs9sJeCnsZqSeL1YOFilZUPo0/7Z53RVL6INm1g/jRBTURqJDLMhEoyHE2b6gZl+NlFZOC6HP+bmbESqBqFVWZtxlk1rIscRMIvKlYVg5FJUyoWkH5FZ1YJEnE3z1nJ2c8n1sDErwU2zBMN1h40n11ZBZqvgWmKN6JOOuS1W2bysCbar4xppwDXWE6I4EU+dJSTjZBX4Cjpcq6/7f0rEinSVTl4Gu379+pNPPln/xtXYi7Sz/Dzp6We+xDnG5/BxHD2CHlNOuZH43AlMSRAbQZGorfyIc+Krs2a19DaETC6dp+Jm1jEqYuepHucUrOS6CdXfiwQjwiNgL8tFMTzYt4oEE7+9DqWz7TTc+jnecLEqKGgu+nsRq2Pxk16RxL1NFvfOxl7iZrxeps1WxVorNIeQVcapbbRhghbNprXDYMVWIm04ZcMtcWW2Bhoz/Fx3fFK0iAQTrOek3rOZtb1EDpwDzDKb33DvDFCiMhkec2pLm+VCsGLi6+WrUqKCKYqtJQ7WGMG9xa4YMrnRSecK1q7CSa2KtS4EnbrkdRNOiaQiZ+Z7v/tBnBPtlj9Peve73/3JT37y2rVrTz311EVo7MXZWX6exBEEOX8cZRwOJScS3/vBePz6LazfU1YCZ5c4hztqHm7PenyQZ2V1NrNa+jq0c4xcStesVq5F9GGmc0ojopRtHGNbqchaDFKlbUgiqxSY0ivHCLM2Twm3nTgRpijR1OTjRDZTtyVC6UTadcQBjzefRC5cxMHkqoljhGE4tqG/uWSxbmA2n+rhtAMc9CxlXcHNeK3SmhepiEM8C2/7w6zKKCQOxgnKoVY2TWVm1czqPBLJNZgpfaYcZu2NmYbF2rZIFgvMBXLJe1ckGxJ+vfSZTXuJrJxEDrBeF/31DDDMWupiiVe+w01OKqY3MOcEpoTsCXF1WgPsiftPZO2T2VoUTInKaZHoOATTfF1I9RMh0X74U9OVNZKuwslURaSqfhyPAU4IJ0baQWWBzL489sY3vhG8//7nt3rstthZfp70pWe/yRHkuPNk8XRinEXPJfePcX2OLEzuWE4wQx34EkyvuRI43JdiFMAaPxCxbipy81T+QSRO7dyGs9i9SLCtVFrdxkqDwNat/ERWrBxEshvoZBWSjzvJVCM0//RIxTRWkam28222Noxf+dYi2C5Qa0OF495Cq856enHY0hBuAevq0MGI23+dqljTayd1uyKiYC26iq9FXVfNutna7j44uyneGpMG5oylT5h7V2RvLZu46pwS2UQqNqcuMEPUPAahreQTu8q2b1YkGLXcy21jzco1Mp4SlbPn2JiyIlNZabv0IaSiOlqT3TwJqcgQn4iExr81tITNW9GWvu+7X8/wRHuRnyc99NBD169fvwiNvTg7y8+TMI6gNxXnDx/E555hilPuuSQCh1nubc8uTr4fIi7KFGUSh3aMinBTiWSJVtFpCNMmrcWw8fciVsGJAg6dQ8gmJF6XH6ZYV5pE+G1WPvHKpyVpNFPj4lra3UhidgxrnUS5rqVija+cUyIVc5mC2V6G2fmgvdWdRIShU9k9kIhSDMltbcgJP9u4d40SSUs6EdGaFLQIJr6igmmYCKj43mmv6a2lKpUL3RoITYRA3G1MpB05Iq4FW/fBKtIYUitSlQNKQxMRL4opxmHirNslxyrMXor1JLRIlNdamxcrIolkLaCbFn0sNJBhyPin9MCetIqKiEjBjBqEejasm/Rse8SJO+WwklsE8awRRIGgw8jGARUxog/WA6M+q0vDatYpGwBdYytRMYRLI5YAjWQovgzm50lf/erzpcdui53l50n+fhLnm9PZkBPvSY2DMcUZZYjDjcQN6VRN5EBz24RpOkHJDiseTG3SUKai5XROVKhorqZC2wfjOCzT5YTpsJI3cWUmEvFNzTZbHZqhTzd2s5N0m+ApDR+0ehAB6yU+2Oo0TPOsxeVEMCcqykmE6ZIztdmGgtXZw9oww+db+aMlopCu5GDEN7elnj1oLZJhdSwHOYXaXuHQlXxpaaCKp2jTMZImM9uGTWRTvCKEdfPr7uX4pdt6ibPwTZ0TMd2e4mBmWdH4itJsEj/t5RLUBkA4e06wrX0typRbR67WFNYOs71rlZYL7tVdsaVYS9+ptpbGfDGlj3Gt6y4Rf3l+P+kHfuAHPvGJT8znSbfRzvX3kzh2HEqR+5Agh5IT6bnkROaAQgAZyuEO12+JnGwjJoqSo1Z9p8LcQ2h+H0OrFLKcbVPxILcWTYR0jCajEE0x28IW1Yiry+wBrsxEWpXGbLNpEvR6sYSWlf3fKxqCG1gj7EnjnBJxDze3t2JooDuJ1cYYSk5X+H7bShWQ674up0ZAmWCLN0wt+4HvctBsCmHiYNCMr9Xr6YXZImCGHmCclIOMcsh1ryCYaDCNNXHJxE3MtTCFYVtOGwYVobF8YLAizM3Nr8+QzZuFiCXC3NQ5QHIxZNPzpQ58E8kCKW08WxSU6YXQZ5NNzCVobaQ3xWsk6Brr9W0IzQ0hPQcMR8HQ3HmD677t7WSWs3kpK7ZDAsa3SYb1OsLPLE52IDrgWmj9S5rHiH6ra7m0+vLYa17z/F+2mM+TbqOd5edJ/n4Shy9IXIej7+nU4Tbg1DLkDuTxUTmk1MSmwLEObgaPkbo8TXBUTleWSMWryla0/whmpbXEJq7MvdzTmZuz2dLN4UFwk3C7nFyLUzYfWs1CxAiOhCyZyN4ZM3KAdd9Wv9a6VH9dVOPUhiUf5IqSseNCbcqspMiheu6LVSdBE0NOz+xwIvX+wtZ+GiediETqcBPVbMw0c4pPwzpK1Zb2ImtjxtcUmWCq4NcU94FgHKz2Ka6RpFy6kxnqhNmaTMql1WvnEanNVES8Fmr8lF4TUw4OZhut8zDXU4fDnbh5GpVd12IzL8/vJ7XPk568af/u3/27P/tn/+x7b5q0sdPtLD9P4lx6+jmpDDmODvE9rDi84ONwBxJnlnNcOaBxcqsCqEKQWpE9Hf2WTuWkp9saRz+J1T9Gcu02mJUeoA2wFYgcR2iPyKq5Ruqi0IkPNlodBkMW965sZb7ICLuns/dNYbDuiTuf9vC9Clky8Zyx8J1aF5WIWHeVkyMn+++psJYcfCPJElM3KCd1o8kQk7bmWjE+BBeYQmAIlaYyQ5CUul6Z3heNrIJM0dncRNlkI1WHOLbZPJxcRHtQ1q5cxQFGE3JNR9YIU26mgjS5crLbackOW8QqOGAELRpm+qkpcKhYD2EtB6IQhziz9bCJdRWISItCrQinJoLyUzpMHaWcyi4xuxdhSBattro1GFQ8nMZ3lhIM17ubht2QrKh1HhGYdcoTxY6tcQSVCqaitdyrl8H8POmLX/wi+IEPfOB973vfz/3cz33sYx8D8R955JH8H1rHTrSz/DzpxjPfwOEgckbjgPgcUM4u55Kzy7n0rDsrMsWd6flOMMht46w6FZN4ipMU7ihk7cRg+km3p+tXfnRSJQtZI0GydFipnL0IIuxhzd3DKBxjpZ3S4Sp7kLU5u8nP6g72tl0RUtrO16mmL3rFobGHcLBavTorrpdmPclwNq9OPWnplvhadz2Ta66YLJZjY5u3SWgO1dwsVwmRcq8kB6PcIqeggnXr0oxOlhPxFjE3w6SvF+jAAfGPW60IuabvXRRR/Yoksop6dSKyktt6a89NpKIdhtkwterOOxX91cmWrutNJ5lNRPGaUskp0Qg5ZsblENksWkvIrLdejevLZ3ZtG+fl/Dzp2rVrDz/88Cc/+Uki73//+7/whS88+eSTEh599NHHHntMf+wUO8vPkzipHmuQI0hE9IjjcEBBfWlBjrhHlimOcp0iktkVM3WpY2kEufOVdRakIsParfEDNZ18ayJGh1mrsCd7kbpMS4NyDiLsYbI21RK5lFBp4ikdVn7NWuN7s2uEijptk2nAYfXDMQ66/0nXr/oicWc9h1hmN1fX9sGscPBTK0yWFqnsXpj1tFgl5Mp0pXKMZKVBs6ybxrIzjQaiSV2CRiwH1pYqITu5njc4YUrOpbkUFQTxyTI9+raa5WQDaSYRcx2KSW8XKIKbEZBIa09cl9NaxScItt0TSZGWUwEybFenkStmvWKbqiJBS6xSIrMyaWklr4USya3ayoHpJOJGFLdQI7uNGMqVQCTHDN+IPbRrsZaQSe6egonoOFs7ccrL9DKYnyfduHGDlyTekHjZ+uhHP/rxj3/8s5/9rIRf+IVf+MpXvqI/doqd5XsSRzAH2rNYfc4oTj3KlUyEOLPenAR97jz4huefI554kWMtM3ynLo3gg2tF0MeBQZBuT5FliOmbYufq6GRP1kjbrlvDVa3JXkqol+mqzOPIKXwxhbKf7jZxh2Ae2euF4EjUdLDpZ5YG4quT2bW3vX0QPYcqbBISDDNHl1rti6tYV6qyS7PVpGe21c2GoG+KcRyYKlR+aEFzTUmVmhIdyQmmsYYpYfMKKl5v803MXakaDhHV9jbwSojgugOg71t1t20Vvpi11KW5WIfZFp26pdkZmSpEOcxariJT6bl2uIrUrBR1aRCOd6Yh/Nq5mB1rESu2I+GUrzKNgHhtFRpxUN+GWy1n3d51sbk6KlhFnURykEB8nJfB8hvcH/rQh3hD0scefvjhRx99FIdXqH//7/+9wbFT7Czfk7wfOLieZs4xQSIcX3zPsceaOAQOdAj4Epwl6Czn22AwUsH1VjnAtAe2WaZsbC2xYpo0QoqPFYJiqpwSeTF4oH9cNztssO7Mmgv6dWuN1OtYI147mXuRtVDdZ6bqcA/ZfNPDz1pSxQgNVCZoUXBdHbi2F/SQeGYaIUUr0z5bwy2LqfrFCcer09JBgiamQyOV2S4omOWLoSkIEnQfUlTxJpVODIYMqqafTnRcmiIEcVhyZINwMKpEpDnMtoWcjvXUMUx74Np5rgXDKlKzwsRh61AWrSI/RytZzqpjJ40Zhex8Ok/11mGYxFtuW5odZnbFuku1YsMmayQ66S0IISUcklW3i3Tj4J4ISBYOfAjeIFFgqu1qzV0jtoTzMpifJ127du0jH/mIkdjb3/52nfkVpSvZuf4eN8eOY+o9k4iznlGPNQSOaWUa5/701DYdc8XcEsF2qxyjTyJkEa+yIFObFTcRjk0aYYi5LpzT8ap/x/U2YraCoWtx+RXXR+Ear1fqFiJVyo3NxWJjmXXo2diMOFTciEeiVokjMotOjVSsLe3FrVX3MBu71qp9Zl0h6JPFbBYVkZZe75GaHl99OO36SqiosjT8dQodh3srsnSGUdMH65JriSZbl8ACdSKbPTEChtzWHn9vtlVMCbB1TlEbxnEVkQqnMhtnE+VT2ojVzVqbF9Pweh5w6s7kzINrrjSRYD2lB7skJpHZXNBUXCOIk5jekls1M1uD1FWHYRNJaXdbgrUqwpQGf1UwUhsmSF2cl8H8POlNb3qTw2pvectbdH7rt35LZ+wUO+Ofu+Wkgj56PNm5GZwCiUOGkFkUdOQ4Cy25HuvVr7jGN5lVNlj72aulD6d27qqzotOxPZ1fBvRy0G1W7VqY9bpUzKOQVdd04q66Jd5CJCXq9qa3HIkDRyQRnUTw9+qK1K2Rui17F6XG11pRWI9Be5q3EvHJdVHqOItaCoEhOIVTr0XbE1GyhIah5fqKpBC0DXFNxLHz1mGwXUp0TLftKhsdgrku+Ca6KK+ve8jsZiLkWoJI1oUIkVYRv3YYNJdZ+LW6u0GikTBBfTU30V2S3yL49oOPUSVtgxZN5/hmtd5qA5spWZqzVHc2W1H9KIBETN88XaBbkYjpSLUDTzDrUiolQDg4CXoFUxGn6qR5UbL6KnhRsCiYCJ9hGna9Ml9qm38/6bbbuf4eN9juGZCTygGV4KEkCOb5Yty7i4hY03EMmiKfI554FIhUzl6ELO8QhjTc6kY/hFYXrEw4IEOncJitHxTt+RVP4d8W3/20SZt3WHHzIjaH9EpYU06JVGzbLubSHERErlGNwNmsstdD1kUbNb7HTy0IRtYtMhe055wWHaYIenVEI6151MwSlVK5XgsjpocsOiWzNoYfGtteCXZY22gilZwO4dSVbl5K+fGbTh22RK8vzrqcdR8SWadqIpHNznHCwSdSb22nfCZUjlNrFZFOmvIawW/9i1XTbTELxKc3m1/JNaUl2n9jVqw6+JSIjkPSNy90Ep0lAhOHYLZRMvGcfyJqms4O1IrEMQnO1lYzrFsqPwpZCMM0zNAGXgbzDcm3pT174IEHLryxE+ws35O8Xds9AzLlgeYQ6/DHIAjBOH7uGQic4KRzv5nYdBRJhJQrRWrcIVPpZyW0+GYEhxI4dR/2/Iqn8F+8z06yRiPuKkOfPmD2nHUZYSFGwNDWCOhj96qRIIXaZgbpajO+h/KRtcmGdU8apkkj7hVDZGtEGkOrhB8F0Ii11vMTJxuuMg7Ymk+k3h1ZRSomonLFeulhJqKyNKdCsEOGaoLRV0pHjM66QLBdPobyq3gwPThbE01hqnZCxGAUcsZWzZoorg2vC8dPAzbvFMNw2JBktd3OJVYn6YmgXJlr/2DtPPuZnbQ3s8AoBMmCsCY6tbZqpJ78ekHBdd+CJiqYWYY6YfLHk8yU/YD1bCdFTRcSNYa11QzDyRpVyNJoKfcRSKsqvAx2/Iak1d9Pun79+r333vvhD3/4Yjy22Bn/fpLnsqIHFPSse6b1JeB4xA1ycHG4WzLrjUd81akRaFeK1LjiOOmnEcA1EWTVjUDnRrIDK9a92tu3lwJ5TKQ3fIK1uhEcCMZxarp43PA6exxJoVxf4tlS0KtfIxXXLFZBBKcVWvF4dt2NRJJY+XtIeg4MPug5AV0anCjXc9giWa9OCBUb0yogU375wUkkbYAKtmuxVyXditFZFwjWr/FgbsBasarVCH5dy9oP8Tq8KiJoV63zWigc0IcSX2JprOq4IWukOui0rCgTR7Ptqlh3Q4RmVnuUoVbfAMR8ikxu7qM8oAjWuns966QQ2LartQE/6cZzFGsEH0s/oEMwpR22HtwuhrV5MYXa5ngIITBUEyNFBYcvtd3CT9xe/epX33//y9TeOdr5vSf9yTdeHFnPpbeBJ9IDut7wREKuU+h4YzuLQuKVBq6aV8UoKG631M19eIDwIXMHbhLQrAskyG4k4s1JBJr38MpJBA7+bUEEXS9V8CnEAyWzDNOA8RqhJfG44SQeR5KVrcj1ZYgDwWHDFk8Wyjqks//QNkvXhlM6kYZMSXDJiSBrfDNrxc0TItpwpLKc2iSRrJphzaoYTph1GCe0ykfBWkqZa3DdN7CWJgK5Vb8U4ZN76dmQH2clp6Vbw+OLYpPp2SDIecgO2BJOUw4hkdatJxaOx6mmBJ3Cz54wTD8VQ6hYb9U1y3itm9xEcvJbOuVaRCQr1VM0ly+RbGAS6ywOs8myB2fBbCM+lp7BpOyhDlnos3yybONlMD9P8t/jPsXue9X9r3/967/2tYtljq12rr+flKPPeW0HNDd80IjkHHSQIBYpZI3X3Kqwxo8xgmCeAk5x8/uUrJyGcCRnaSFnSqsLlByHuA8anDa1SfbR8OIRKVt12PTXujaZSMXjhlviGlmncOzN/eTSQGiXjAit1ogEMJeSKSLSLi3dIjL1T8GVvxlpqxCNu6h8hc5s7Z9IVqeOgq2Qq0gVCJQADeqA0nTSiQqm6BDRz+bEEZ1NpFXH31x10OtLboquhZiSr5TbBZmNas2ItaUT/c0mGUqgSiXgEASdFUNesdZa0SXoN80Vs960yrD2lv1ci5ILrS5QrHf9McJHIVcB9Hy23aN0zUqhJCYigaDDRgPrbCU7ZYS6IbeK4np9dUzJljJ8Gezg77vF6u8nffsbX/vyl798zP9jbmf5nsSxq9+K1SNLJEe5IvE2ay6nObPIZlY8fvqssy2yCoqU8+bH5NTE+FkmTcKk2wjGcWpzN7xvwXzlS2TlGMFPGy8S3dgMq74VWyd5GhrJkhvt0sTNSLLcCny7yja2CJdg5TSEYCEjONGvFdcejMhsyzzALIreVKCxNWIzrWeHklMxs07ZZI3AiU4rBGbWKZYDEqdPZyvCkeksCvi5Fs3HSKFP6optr9S0+t6VIh7fLFGpdKWa4jK5lYLuOSYnTKcQN0JdIkil1ZtJz3OOL40cCfiNQKS2V8krZl2bSDrOumSHaZJhJdjJusNyQPenKbiTLrBiY0IjXnvAAcOvfjCbw3rJwjELp/5VkmDKMWya+sTrbCPDrFvBMBxFgiE0Bz5qtBrll8Gu+vtJ2Otf//rTP3/6Y2jn+nmSWA9rzj0O51ICR7MefVOclc9pziwoPwrOqrDi+mxqkdZGZG0Yh+GaGN9lwiGSFKfUcUoRq8hpD4vT0QZuC/oMzdrpP/p71Su6CS4HdPmiF65GroppMtvYIvULUjgNlcKRtldr7bZGOGCnk8WkpIcaqT1n82vDIWcWZJYI8azFuhF02Lp1NrmbGB0cIvUqS8CxPX26Mk4t4h5vZzerhwC6Fvuvx8/0mrsi4jJVSxuJVGam6up0MrWS7S36rbFG2CsqWm719yItvQXXFTl0P9cdro2tCtl5Ii7TK8IfrnstiiDi69Cs+ImgUwU9RVYkonIILKTqQ1PT2fjEmU1FkGEILjzpxF1dUmSCMsEWkU+raeNlsFN+P6m9S83nScd2lu9JnuCc43oi8blhOJGcS5w8lxmG42y9T0B8jn4SdZy96lOpRWo/Ot5LKbeJrVtTMlwx4lTPvXoi0gnKbN26lheJdqU4iH6uxWaf6SQKDBvHC7fmno7Ibn73eTrW5g26wBVzLPci6rhwpuhtL8IQSwq4irTNr203cg6MFyjpctrdkZ5TuvITWTEXCwUQBbaOFHIlNBFp+ESIZy1r9UYIqu8wxy9Ze2gKufJbG02BTohkl4is+xNOIrYkemlw+CMh+5BL5kJWHbDeAkhJyJmss8iu6cFVPAsBidSeg06Zgo9FAV8aPRDM/uPbiUUh4LsDNVFmzao6kOsUqKZTKlfmqs+wIXFmkyV6DHC8Fi29puDneu0hWfSZNl4G++mf/unHHnsMvBgXe8c73vEzP/Mzjz766A/90A9dhF74/aT5POnAbvH/SHx77ar/Y+Tf+K0bnlGOIOevokFuGI81B5Q7H5+jz8mWllnIHt+oOWWkYs3SQVDlNbKmr1jLJbE6a7cMTywB2aXB50Fj7gFClo9/0NLpztoS+imUi2Jks5OqebCEdbZG9nzwFi7ZiujQLcvJxVoLXRoPunAcBGWukThruui6bC+rw6HDqAXrWphNun4VrJGKxNeWLl2pmm24liBSl8OwKjOs/R9jyxUP1BiG4x4mcgqutdaWiLN1VbwuttZd1RrCac7mLLhKXSpeu0pvOfCItwNwcHGrT5ZnMul1FsT22kjPB0FFomnPDvHrfbHqiwRtEkJSnEJwrV4JTSd1v/e7H3x+YafZVb8s3rJdv379rW99K69W/t/fxlY7y8+TPHw4nD8OH+eYE8mZJoIjwVlOuT6HWFqdJQUdXvkRUVDlFZ2CFo7KmaqRIPwWEUlJJ0SSiON3IekWtD2Hp5QgPUvjwaHIAcKHHF+d2tKVnHwX1RBxq9SLYp867i1mJ+GwFSAEMVthIrPU3YsgYhaRuhUEa+d1D9f9PJhFB8F6sUAL1XWtzRgJR4xIlrxGLr2gtb22h3JSVJorIsIUGF/yGmmYlqrs3g4wZBbkSOAkaBtJN25667Au33hdhf6KiteDoXiN4OS41mayh8kifinmeolrq8arOJjZVjcnh9nafyIp5Gzj1OB6fo5PFCL203rLLCWqAkOZdQg2n1m2CKQ90+sssk4xBFFz1jbAlgIyNGjDJjplulfE9OytPUQq+mKaVDxTkJNS96QOg7V5nLvTXvva1167dm0+Tzqws3xP4phyfDmCPNQ4oJ7IONwqOccgQePrLCnPy71ww3hrSVA/92rulhZJVo1QyCD6RhoylU6IVAWc2q09UNchs6akt5RIBKbbgk+wSm360PIQ2Wzp9AjDdfeIWCgXiCAcsAZxlFo5RppIVXM5a6Q6VSQN26HLX33X4uYboYSJYpa24kGfOG1KdLZGjrHy9d0xWwXtE5+pVK/9uLpwXK++nDWy12SVbZE6hSCogzJBm3STfVNJVt1zHIJOhUA86fFXrLfPuglGcGyJlHo74BB0mKy6CXsbUtHEdTlVXD8LkWx6nDSwOmJt5mDq9IgiNpNbg/Yy61T47qGrYOj+SwDRr+IV62zrPFVygZKieCOnYpqp/Lq3eTO2T5AenBVDgBxCVWvXqz49Eom4s3ehPfvsszdu3JjfTzqws3xP4uByXrkl8HNGQU8k8XZX5KRuzuIT8fSDEqpzgLSxRhSMs/KtvqnPvb12S9whsw4TTwkjDF0RRkq9b/GpHlnjaRLca+lEVDAKOD5feJTYAGj1WpEIcWgMvaybHJC1M4yIiUba06pGsgPJAr0KtflNzFpQwMlehVCXls6v1Gc4YGZPRPmWY5npylbjM2tK2wr8xnG9LhMaU0acBbF6irJSMb0dRLJj2Vv++NXIOJpm4UvQSVepbhw0/QARSSfreUgkLaWuU7W6WfVKkeXUui0tEh3144OqtbaTDqJGMA1sRsB2hMIBs8zIrp2vEYY0b8O2CqaEQ9cShZCNuxxT6EFaxWxXzgbYaBaFsFZP6Rq0YppxyoVIcJgURAxSIvtfEyNbl6A4aHpWfYAo3IV236vun8+Tju1c/76b59X7aj2LHNwaqed4nc25F9d7FX6CDfP0qRETc9vTrTqUk28/OLWuKKF2m1mGeQ6mYhKNRNlhdEQeHJGVSUTmWu6qaLko4GCsvTYguiHM5pEE37XQD1NwqqZZaf7FYFZtk7myWIvYj0EjubLBqpz2TuzTTq46u8ZTLktg6CnKPrcU0Uvj0pRVgTMWgrOVj7Ou9HgtK6Y3usVJCZycf1BCNt94iqpAMFK0IdlWawkcNcHaSUWY8kWDpDDMnqwIQWfdluqsRyg+cW4BmrdWJRAhXZEVT9n2lZOu1s43I7aR3TauLMPWaiLQ8NEBj/tMrRWTmGCNW6tdmmxpCEYY+vAkKLOusfZQj02Y9UYQlaqHM4m0Z7xiNvAutG9/42tf//rX59/jPrCzfE/i4Oa8MuT8cQpxOJGcUU5qnkFiXi/ENrvexi1Sy20SjtF0UujQSO7Y0Jpg1iInsyEEW2JVBrPGYG7dykQkhKg15VMiDBXEtxZVUlFkKvtJxGB0GOIwxM8Xj+SmyVvGtvPphPOTiG9vl/6FOHpTM2cvhdLwAfpsTaSpZXaN0+RmXXy3TierY1jJQe8CFgLTbclQwWyOw3opjYCRauKXYsSVVZCp2rB+Nhyyua296mQ5tYSOsipsIrPywWw7cYNZMpjNlBaRcNZIlFf0ktGktRhmikiKrpirBraWEqkHhqGciKx9tgi+zbiHEbd0ZtOqkSiIm8cjUtJWApjErG6zenRAd48pfI+Q7YH84Xhs1q1+Tos3SAo5K6pprei389Y4kb077dWvfvXP/dzP3Vvsfe9738XcGK+55/v33TjBHkSOoHGONScyzunI0Y/gHlKIOwcn/ETiHCtUpEl0uJP3Eu0t/ikdii1xXWzDlmuhOAerXiNVSnSZVIHD003fqWTJaXVxiGstfc8/PYLm2mq64jjZwx6nIlJo2uRe0T2/YUSa2hrn2ChSmfhXbRLMCZSQoSl1H4gYTPq6ltNXjZSyjUAD7L+0Wh1CbWwlRO1mmxcrbQoH3QbbklMXJ42BIcTBqlQVl3M6po0qstltRRrYc3Jg4iRxla0RFNb2stI2y5Dc9TLtIZwMT19dcK2OMeXW6YPZSRtrS4gUlh6qgpxEGqc2cIw28P1vu3az1El21S+LYy+dnfHfd/MbTQ6fQQ40JxLkBDMMckCd4hnRIiJBz7GyQSPOQuP20CGrRXDyXe8piD4OnRwkMps2GOKsvW1GIONbZW/JFauOhWpFvw06JRKRiqkLJ53ULILMKlU16ZxE+KazUWm4+lX29Eh6aAjN49Tild9yVVZWdM/RWRuAb/Ob14VhVcOvw0rIDiQCEqmN7TWZ0qJXQQ7mEMcG8LNeg2kGrBeiRg52IBF7a4n4ZBlp1WtjlaBOkKm60kzZjz0EE0lXLYVI6krG4KdcZToVrOLRFNdIw7TR9pNI+oy4ERducI3U7TUSPI6Q1dozaIm6EOM5TmmMOIZaImneoVhXWsk3s/+QHALIMNXhGwENSoPvMI2BMmt1I/aggoIokKLIylGtIlmbcTAHaewc7Yw/T+JQcvg46JxCDrSnEJ8IUxxofZD4ngPic/Q9zeqQzsMCx3jUzKp1o7OZuIehqWBuphDnzrRim0pWK7cZiTKOQ5uvO3MLzZ+CTcoG9ha1BsW0d4yu66rOWk6EwCyt2n/dT1Na7uZ+ruWy9nUqTkOUc8wOsDaQbtd1JYVyraLLablwWqQWWrHNpkScdQcScdgQ2rqKWmWPUDetBlN3E2U2TYbMuj/67Qy3WXQ2d4nZtslJXCO1gdbVsYO1ulfCtfNEamOV0KZsYI2Akpuzt1fNaeckcTC7l3J1P6W15h3CjMLag5w2rEzSFWwNVGxTDufzpDO1s/w86cE3PP+dHKeWE8z5I8JBBDmRHGKQKfAm9/knlEEQv0VAFEhHkBtSh6eqgmDUmJXvg7hGZCYxgnt+9O0kHyMx5aLSf3KTlfUeRFQ26GyWrLJ+VlFzU+4WsC6wLsoGUrqtl6CtVilTKiKehmskhCzq0gi+JdKJWFuFADMOiXFqFs8+UyqudbP2A05DlMM5wCjr197yK1Z163BSxbPBulh4vfrEWwRaW2m7HMzCNFJLJJJ0I/h23q6mZJBhXQuIfl0shNpwmnQWWabMtXSN16I4ioBxRGf15duAwTqLrz6bJpOgEYahZUvXCC3prBjHZdaIjp1Qy4qnY/YBnXY5aoQSNtzSswqxbogpMlFTM7lGciSye5vk0FocbEeUCD3jh0AwhNpeKtYT1VLasDJJN1gbaNimHKI2do52lu9JmLcNJ4/zp5+zG9wMrhEUvAHWR3mj6SSeCI8SFewkgtRSEyOSO00+QXLhmEUwi0oh+aKzCF4acY2mUxS19iUnCC3dmntr6IqyQCKYS2PocsTN9YImBo27EBOz26sT5fjHEcvZgxXtylbZGTBZcaKWLPy9jb29eOL/ZaX2BnrpiXgIaT475loYeglce01sEdPNFderAKcSjjHkVSdDOGkAdGnmSsisB682aTopDvHrknNTSHMTIGc3RPchkYinaGW2QtUJLWtZI16jevkaGQsnEQxOqueIHvg1wvIdoqOzGaEEw1WkdVsfRKaEueZWTNGKeyk1blfuBhFvgUojnn7W61Vvn9xiWQIKdVj57glBBbMPaQZMoiiHqbFztDP++244njxvG45+ziWHkrj3Q4LiGolCQxUqJqtF0Ky5EbTPGqlxguSGU4PKsgojuT9PQaSyRtLVSecOYboEhqANNKzPo0sjWQUYcYL2U6tvrrf2oKZxF4KPHey/eMq1NuLG1rZ1KG2t7Bh+0v0qRdFktY196XBdSMV6QbMQOzTiVZDTBKVdiuSu5dKDpWvkFFyzEglSej1jxOW310emIFc1lhk1l6ymInJAIkxBiNSKVRynzpqeujkndZOziuAaAf//7b1PzK5pVeYrB6VU0lhF7ECfYyyK0wMcAVa6caY4EIdiNCmGxkmVnY4jBRITGFk4cMAIHDkEJ8ahDLRr4MSBVDljcKgCQ07s5ByqIKe7KdPi+e39+7h6ue77eb53b9i79kutlcqVda/7Wtda637u59vv9+0/lRlDqPo6yOr4IOzN6qkIImUb7BrPg0sEJkuDZq0RfMptRWq3FdO5gmBtrCIc1dato5TWRnpglyXxRrOT9XmFWfns5uHyHOGgzJKg+jhsYRkTQnpYD6RxzB27OrviP5/E5ePuglxfl2wZ8ernXhrhyvIyJKtGVDClYnK3WYmsiZdgFNK/Ti161NiKdMWLXZ2qg59us8wgfDlouee1zjGyVMEQ52tErV6HMkgKnJNzQOTo2SVyvtsilxysDaylWzq0Kn6JfznzEh+kB511Lnc1ORXlo9YuwLpFerJWqdZPixz5K9ZdqtRB1qFahwSN1FZXrEckM+M0QTltaUoVifIW5Xw/GLX0WZ28vDaWumCubktkovZKGmzPJRGHzVZErBunMnVgnsjq31MnlZmh8tTkJF53PUk49awaUySo1WXGIVIFjzCFWvDR/P+7jd1q1/r33bh53GPRJV8UjOBwmwl6y43gcHGJhJOIgkmpyM2ufN4Qs+KDcFrihRGVrc5Sh911q2bFbxG/X6lObVLBYBuEry+ksIVTv/G6V4xIqoBUadVtDySldkIk5wBCzrFHM7hGQkbc3TUi0xLrYVa0Afg5Jfgpl6kh48DJLucvn63aBhwichK5p6wjDhEJ4DqFu5UTJF1muzx5Ci2CSCsXrMcrrt0eMcV1Xoragw3EByXrt57Brb6YrDCRcms9jXVpShPJsawYkWAb5JJ42ssImYgStkdQjnXN4jBdVj4R4okE1+eSO6a+uVHLsbTzjwNWEXPh10jrJEFo55G0gW+tddjsepK26jurWiZqh1xF5JjOf00wiEKNWAhyRTscu0a7yp8nffUb3+Rl42qCXEoutw5b3GwcLjf3lYsOEqxbq0M6N9i73pytwoqWS9ZJREGxpV+4dTlSndd17fYcW+fnJSreWg6CTy2HDL+ealUjwpa21amRYMgnDoi/9r8iNPlBReoIOjJTYr2QP6itI45nso7gIctsSCLO5Res5p48grq7drtyanyd9/7uv6Ntq3ggueStvVqO3foKZFdxOswdSIltuXZVonPJVkpTVFM5TpZHFyMcENm1vRbZxuvg2WVZz3zFKgiuja0dntO21ylnRdBI4muT5ubZhU8Qix8RMSUUybLF10LtOnHx/v3PvP1uqYtsfp706NhV/jyJF4DLJ3KPuawEuZT4RPC9qSC+HHYrp0a4vvKrk+8DcuNN5B1zyb1v5ZK+jdRvLAjag3i05ZL0hpS+NU4ux5ISF2IqpvNgFV/9S8r5vKLMkmPMebZaBDF2j3Qk1AcBsjR4EgFrrVRsETDKd0v9L5GMUJ9vLdEuJJg2cmkTuaesIw5x266DGA8TzGmDLMGQj1BOFMT0A65vBMdiZB125SRSaXnE25bOkSxy7cpjUT8RZeNTLg1UqTxckCbNYmlKdutRrEOFFic6l2wljiGY80nDIpH1qBsHrK2ukTxHKtY4QdrwBBT33NiqTTasj1VcG0uk4gl/fV4grVIOp0nVJmkGzBbH6xd2FRw8mhFZH6K4PriGpiNbv7DTj4XGrtGu8udJ/vkkHO4lV7miQW4k99KLmy3uPS9VjYik+DpVZIu7jkOWUncK3xUHzdUJYRWpCI33Ko0ptaYbzBYprQ22WuSoYi2RwatfMXHFVUiJ1QkzzuXlkugy51lL3zoIyGG6jMLKOYocjZOIpYkjjqWWImur2XoDMZ1kljY46Fll6+jMK1aFE82ts2K2to+vIvHaRh5Ne0Yrklhl10JObZVg3s0jWbEdHU5kcapfa51rXoLbk78Vj7K28bV5cXtc4K0PYk35geOdE//X3a5o/xkZfp41fgj6NTHK5w8x5xBHKQvxNRxHm58nXald659P4kZyEbmFLLnELLnQ3FqXftLXD3KDW0T0rqMWRI24y3zTIJMqybUi715Lj0iNQCMlamk4EVMMOpcNuyutNVa/X2nYShCkOkHaiD6RcIwTtEotunXC1AFr22vpRMInKGZklRvCYXcdhEgeqLuig5xHjsYxUk8ScYdqIutp42TGh4l5lPTgCDnJ2nNoLrMlM5hHXyNVgTMnboRl1QTxWyTYGgC3j68ihTxh2mBJz3Ha+VekYZyTQjmfWguCl6FKNUx1+ZKRRRA1ECmWBiNuLXB7trdGgvVpVszBbjGznzzHKEQ2CnBwaMClGKnzB9HIP1hMzx77CRNaO0Cy8qwroR0RtOhICLbH1L6eKGshioJEXOKMXaNd8c+TuIvezpvo7nsggtxpLmviYI3El6/mEaJWdcTzlIqm10JrhCVBzRJHjdE5ryWvNF/y1mUS0cEn7piRXZ3zcueojnakr0OfdsiSoFviUenKXAcJ1sd6a+SoFlso5xgtXU9SkZx5c0xPuXNc27sPpFwqrkOxVZktfdu/IolUnSjkKcSpmkeRtYEtrfrtQUQBJ1uQ280/L8SuQ7VWo5DdtqRKlaq3Qj9boOLm3h+2BlbxROq8batiaCcO2BTqwYaTlo4Oja0mXmW/Hz94a/Px83RkgglW3xGMyFTB+OVIevoJclBIPfmun0T5QpufJz06dq0/T+Lm8S0LeBO6e625piKXEg5BfL664fAmcOndTYR0XwOW8CGovEV2zaq4ppyIqJAIflpNRGWsDtJ0ZPL1CGQWz4FByGXJbgqBiCAlGUJOKSMkIrZCJ+NUpE/UtrItYodEalGQyFZcpvqI+LyqbDAz0nNqtUjS1+99QWnwbZIG+I+ttBFZd6vjUzA95WibYJpv8TRz35hj17eZoD2n+ppOA9CqQzyRHAtqTSFHvY6wRvIUanBFE+02+jlhl5kFzJmTGKa754U8HJxaMQo8IyumtLK0VEWIuAtfX5EgfHMjGLwkAjogUiCEWr11frKFTnbT3klkVcg5uEs8HULYHpqJrT1l9aG5RUotx6Fl0pVjPMhW1Rebmk22liAkKNnmE4l4HiL+hf/Wa3tSOQQbwx+7RrvinydxI7nHONw/l7xa3E5utnfU++2rYjwO15eL2yKqRXZ1oEU/yDvQOC0Sx5Yqpr2k2JVLd/VPcjGaz+yVz3JtOJhyNXLU6iV4SQkw09VdloqkhzhswQGrCLgVF0NeHXAtUaew3HrsxhVZdwnmCskEtcxrsCqwrFPcqw9W8aOeU3RNz9bqqBZHKbe22JRrRM2TKSqmARA/x9t2cbD15hOUfGGJulwPEJH6TJOVeDvtVrSdYbIujORGRZ9gegDrIK10tipny9xGwCSmMTmtz3oCorlaFazIaKqFszorB7zX5te30pQWbDNWKbfqgCezi8quncy/n3SldpU/T+KjPdeOr4/cSBzvJReX68g1xSfoR3t8brlxEN8IL8Ma8ZafONEJkstWbWaN4Bx954Fje+rblQqgVRQB4cfPrumZHaz6CW7Rci3SmrwQaalJHZWQ7Oy0zTjGM109tzYpfkXS9TMpSyOpGH4iYCtRDxbkP1LWeKqAbdcSkXUJ8pVRqQRVqEGmiDIK0tjy6FTYcoioA0YTrM+FOFk2I+bQxPSjQ7lE7JBISrh1hLVhlOsIlbD6DWu3RKzeGpYGMo4RdmF6Jmy1A0y62ILRdOSKPlNoEoJ51kE569Nh1zOMGk62jiKK1CpEUj3915baka7THTET2R4Lvj3IybL2VtHBMdRqiYh7k3MPw2l1txyQugaDoanc1OoJs4xIWjXIkvh6Mnl2FevsiKyEbSfg2JXaVf486avf+CbvhjeS+6fDjRS5o3mX2MKpuycI81YHRJ/XSZ84LwNVzhGyzZCbzsnVeBVpOPohsxX+qpMeGuZA2vgnKXW39VkdmqTVbZwqq9R5iWyhWePr6V0yQhqIWna3WbVWW55jfShJPBqtysKpT9kgPoKaW+k/kdVpJ4ZDPF1Vp92rI0R5rduaX88Q3MZPOt/ireL39ExxKKcZ12kp2c1Wfcorwq9klnWXYI46yvUA7xXTbYZqh7D2n62G97S7la3XLMv06WU7GiTnBka8VrkEW5PrfQhulW0YkUtewIbEj0bL7DBTop4GuU1w/r7bldpV/jyJ6+7txOf7Zm4nt5CrKfIKcWvZ8qYmfo4wV0dDzQjvJ0vehFTEsZPgNkKWSzuPpn369qKWKnLwM6nIFvPiMGP4ay4EKyqStomHRoTqGUTBpKcuTirCr3H1kUWhSrHVxGsDOCY6O5hZ6g9Cgp4eNHuImhH1bcDgejJrBHQKkcQsKVe3WgQm6TmEJFrCZaausvgeFHH6N6jPFvG1/0TMWjn4tVx7NDpuWTHnlpTs4tBeK6cISDy7yVXNZ2qEpZwo4LdIEqvUyYUxfskzhWmr8J0Ix+U2JbugU5i+vYQgWbUrlvBp2FNCvJUD3dpiElsEBZD0+oiVNZLTS5VKdivHWHf1Tw5fXBOJ214UWKbzXLYtkhs1cFvlEqwjgOttZHmkbMPskhUy7flYSYFAvKrllECWGQdCfDCzQ2sR0NwqJY5do13lz5Pa33fj/nkv8bnoQe4oFxef+82bZvzEl2yi8VUZvzlybOZyjCBopFVpPSSLraN5xcaPoE5kE4mzpkckJ9kINR2n+kcOUnzBMtdICNlq1c/V8gRXrM+3RsBaqC1hOmOLi5QOocbVb0wddHJ6IluYvlIss3s51jZQqNXFxsS5W/mOEfc0DDbxzJ6UbLVyWweLeFNW8HKn4SqbSD3Jmn7USYubTtDBq5PH17pq518Fk+7u5RjxWsKhjJyMlq3WZ8WVs5KbbBtz7flkWPhVuWI7rlv9Lab5ky8FcEID0eSB1uCRk+r1BC5HRJrU/H23K7Ur/vtuIJfPJcjV5FXB4U4T52ry6oLEuaBg9e+o3P0OQ6ZxEk0PxxLUkgOGY0QOePRt6BYRrK2m/1ql9uCw8o3Ib/M2foIKysxRJBKOWNP1CeYkmz7LxOODq3gifIVSIc0H3Upd/XO1jLNFd1MITSPpQXQJBzRXB/L6+CSscfWrrA5b9fRksgQ9QDnK3hMmN+VaV0QqkyUOp0GQ6vg0BtpPE8+ZtG4dynLVYTcONBTWR5MHkaBtnEdaOj1TaI3g2LDxmlg7SQ+ktLjj5G7geIbQtl1ZEULqVsF2x0BO5pLItoTV1x7aITdOhq2yq04iodF8Iji1yfRZg54VzPUGRiflgu24ZJJivD5cOfXZRYelwarWBscJH4RpJLnZbZFobqc7R4+uSREZu0a7+p8nib45vpbNOcJLmNzylIC2cngZeJPDacuK2cLhi4LKasZni9epVeGdN7FVNDfN62wbYAuLYMNadG07CiFv9VtXrUTD7alGoRFqifVwLsSINGdFC/GAzLWT9OYWnDyURCpfqWSxm2ZIZAoiBqOfiiDLTHrki7XzlNtWr41VhYpN3xTTa6Tpxwkh/FUZtaOtFt9i0lcnT8SG10JBt6hbzxys0+WgkG00c+25pli3MuslaUeUSC1XETWsJrJsbVyCUWuyR2fObnMubBhmeylOnsi2Afjtkhw56hs5wjUXPBn8hEMkc50fghga6a2N+XnSldp1//tJ+H5y5wpyR0HeaoJgIkHeQ7fknzDFFALxtxxeV18MmS5NEesWreqorKY+NBzeLggqp9uUqBXNJdKm4A23XFCmnC1SVF9+Gm4KtXrdBfmvdXWCcJK7Va4EkZZwGK1JnWMOMFKro3h8+6ETFdJJesMhiCVCV5RIxUjVLPg5cKfAb/pRUBPfyJEvkp7+LdeWFoKcl4WtqlCRFJtExN50PEMjOFW/Olt9n0Lu2Fp0HeoEc4xrpLYRQu4Ag7QUWkoEJJLpcoZsNZqYnis5JVJ0e0QtAkahIkwL5UjbFCeYBqKmoyaYxyFW2QSN4KtQG17RFDn46rOkecSroOgBtqezXhL8bWT7UBquuWC9bNu70ThiZteBn8G3fvjop5YOkbFrtCv+eRL3khcGh/sHEudqch0rwuHeJwKnOUdMEI7K0b+VI7bGEuT94bXEJ1eH9PiR5aWySpqUoE4qmptOxFbRNmDWztcpEl/bbrVS/QhPauk3hSiDjnlJG+clIgh/q9xKVILpJjbaEa4jrJwQamNNXx0VqmbDNGnkqKIImVuHGpeqzb6WIIKtsm5F4agWtHDgV9laBWwjnMQviQTbQzSY6msbonx2j+aqs1TcHojk1Dp/OicEumoPrirXGbd+a4D40UMXwwerIPHWVR05y+hYzipgbCsupzkNG//W3UsiwVurB+tjyhJlx49TzypHZHVK8Cjn30+6Uvvh+feTuJfc6Ybc0RrhfsMEj5hcZQkKetGj71cudgmaZXVRZmss7fEigdJw/P4eBXTad+Ey06RZUeO/+l1axTQg2gZbiNTp0GdX8cwbvulNiqV843W3MdUPPyfGlj2w5ex1CnbpRIX19ESYdYSTEhkqMzblVkKCsjURtUpr6ODwYcrHN5IBRUvgoyxGv3I8jWgmJZOyxOrsLNPPipLvJv2vH4DF4b9aAoflVlZaOzTQE9BXR45qbdiK7TFlHNJvjZhb1UTUbCMPUQwnkYby4WSWhvy3tsrSYXHqQ5SWok2N9BqBfLTFmLaXY6/K9QDrfchxufRMyE2ryaqzgNYS6wGyW7tKM23ZypnOUuVUAdvjS93KqXj0uOtuJqL0yl852d1W355PnZrdNj5O7kCQLXLTj7XGrtSu8udJR/9+Ejebe6l/hCunRdCvQfWzdLc6EngZGpKSJhsZh7eRt4u4jnGWbMkMElSwZmnstubXZrbTKbVOlPZ0MoJSELJVS7Ry6fCSQgluO29PGXLTOSmhA+Kvfa7YslyeDytCyyGf82Eq3vjtnC2tpZOt0xKPKl7SlRwc9TnSc+UV11pEDNqqI6tfp7hXJ9g02whb3LYh+nJtn0gdMG2sp5osmbeeYfhRq5G1irK15zSzOiB+LXeSBa4nk8g66YpIhRmRc/0Vzzl1tzEtRJAnuOWHg5MvF7cyI3v+HGXWU2qdBOffT7pSu/p/PwkH5I6C3GZ9rin3kivLK9EivA+gvuiv6yqAlUbEQslqNPQlrGiTlRw1lrRqb1YnToeSG5IYHdpQTWSrjgNHHauIbd4orxOZTkqcnDNIMCUiHrQouz6C80Iemr6N4TdBsD5lv0VrOuaCee6JhGPWKt5Qcm5Llo3WztYIZBpgidM4jc/SDj0T+cTrOYO2UadY5zLSEsFaESac8ynkgPrRX5XX3BqpOtk1WEduJ3w013kkx0iTRqxl0fC32F6HIOmqKYLffkJgifQjs52Gh8ZWBOtu0Fw4NKOD5hpJ3Cxq2UDF0NYISGL92cY5uT0gcnNWR/9rsxqXqX+iT9ytPMSVo59Oto+7MkEr8homAm45YIufMI2sz7E+d5l0m5OxvYg0HLtGu8qfJ61/340gt5NrHSRy5AS57lzo7VaQy12rYCeEFSnBaxZ+3UJq5Uc/vZnLe1iXKwHcCrJFPJwjhIMgX2haekV7oxNp+M5eHQVvrSjfok5xdIweIEX9Knkuu8Wj0VrQ6SxhV/iVz65NtsTUysnUrBUtZMrR1I1pP8mqkdZSjeTiXc6pveGfJK6R9TkmmLZBZOsyuJK36WJE8l7k8C/RqZH4rXNvXTS9frX59XlBkw8NTk1vjgpgBJsDk67WEkm8FdFp5dSsnDUCpoGj+7N2JZlERk6WIkf61bmcmcddc1fcqm3xiNni9W6sSDNwwDzxKiUqOH/f7UrtWv++G9fO6yiy5C5yayVwrV2C+DXCVXZJFhfXSMiNgJ8qlCAemkiktiEtPru8NiCGYOuZ//ItiEhEJmiiPmirtcMQyDKOfhP0WCxdcyMbZIsvcPbcRMT0Js0lDsohpITOEZoI4mcuNRWMD4cx2XXYVeoI65gs03PFGpRGrimWIxKCY24Tc4zbKg2VTZNGjg48T60+/RqBqXJ7KKDndq+cdk+2iS1iq60f0WC7cnWKikcz1kikEvRJ5fDxE8ksbB1F0iTx1nnThEAkDSBV+WI9lqTXuE7agKaDrI5VrGgJ/HolagNJCdajZpn+oxm/RapatozgtykcIb5b0OAnS2wXwCppoDJVIIha4iszDSeyRevClLw9q3NmboW768iJsCuT9HbgqyDBsWu0H5KfJ4lscYN5LbmUvm9bhHbktCUXHdk4qYLxAlAFxyBL3uFKJsJro05aqjpJWR1LwK9dVWQ3y1qIeC1RjyUpLbee1Xl7W5pIkBnTfK2bWiLBOqbBRKrmKlKfbO28+kES69bac8WtgniUmJ7TIU7bilMT60TbA3eZ3coHa6upuOJRlS2nlTZ+fmIiidy92meugQSD4Lb/+4hUqYbrcYW8OrlL23dTZsyUpnB+PtAu4awOllqmM7tHmogcEFo7qxasfAlrSk1sQTDV7bAtK7astavqrJz1iRwxt/Et55K6J0wRfjv/RPLUwqf5fDUW2dVYzs+TrtSu8udJfmvlffX6elm5tdxFbjA+F/oI4chsEa54XeIrHidVQKvgu+V3EpLzHXb08atgS1kdldPPihkBrIVIqSVA4jKPcuOzCz9HWrtiIuKV1kogG362jCfRcXBk6rtlCSINIyLWbvXV5FnArFUyZlKoWG9L9cGqXHE9z2DmTYfw21acikcnWclw3FU2zbCswx5NVLPAWzm1tHEwkYpNwbfACA7n0EY22Po3iFSqXx5xuSK7tqSPVTJ+i6SNXCTTQZf4JppiJEuZGTPo+bBrlS0nmMM0wjKJtYRH6q4RnHRSX4QWDD/HmEdAMFWwJK7YHmhbBlNCbC8U+muVxmlP5IS5jevnHOxnW3e9XWSFkJTsZmTiOkTWr1HymSJSEYw+zLFrtKv8edJXv/FNbir3j1vL5Quyxa3lRopcXF6e80hDFLLEr+Lk8g5sqxgPLb1VmlgFz9Eq9nP5IOk5XRFXZCVXhNMGqQgHgjp1wKSwJac+FJl3824aiMMXDrZS3S2CqpmYJVuhrVg1PZNEKq63ZR2wZVn3PFGESc9WX/k5pTVljbdgbQyn+jpH7UGwpXVLTMOrDrknyhUrM4I1sVVJ2215iZPny7LJGqm3pZKPUhpup1BNQjoR63XdPt+6XDElVI6PeOthzYWwvj5YjYBEahZLmRJyREcHe9LGdmSzzrHqX4Ir/1aFDFgPpGWtnEpeaesJuJs7gF/5WynI8+8nXald5c+TuJqglxXkHfCmcoO5lEFeDJDbyRYXHbKRymkITbJqESeXL0w6Eoiblbg9pLcQKhoPv/oViVvFrKNBEglaAkK6grO2IdZ0lnWQinJIkVkP3xTTQQRrLrsEk6iI1RGJL7IbNUuw9Nu1nGQarmcb8TzcRELGyfd/K6omsxbCATMRu1tfZp5I4sH1YJPS4pLTGMs0RqSOZp/4qwIon2PMshHcVUpy3UIZ/XpKR3/jSSZZjrMmpoqYtusSbIRtpErV5iXkkI2nmeAaqUiW6dJcejKtk1zCVFyfL7ieuRGVraujIMcFzRL2sL1LIGTGb81jNSJSMc+CXJxMAeYM68lsfYq2cbZXOgdFRIWcVXB9cOEkq8bhN7U1UtXAlEsEzJG2rS250fAZsJ6Au6BvK8ETEbuVP3aldpU/T/r6f/3v3FruKJfPu6vDFnFeCa9mkDiOKYlX5pEPqsy9D4agbOMQTCQiVXYVbOJ8IcCpucFUXJ2Kawlo2xlN3/ZWO1mrtJ5rehLdlR9O02lIodTSbydZd2viOULmy1btakU4MpOCQ9vrNTvKNfGI046FlJUjRiQpIadQzrMx47R+VmYIoOJ1i0LtxAgmApNjgROLVO1ETrYqZhwMZrsba+QEUyID1tf8crSlNJapo9+Y4VTM+NulGKko4+Rs8SVs9cVwxFRpcdAzMeueTrViFanYpqN6SuCbG2fFxiG3PbhVJA7HdVLoZNJKE7dkaW7ht6nTJ214ydPPKlKd+feTrtSu8udJ3FdvJ7fWW+hbmjgvNreZq0kEZEmQVzqRykSBK06EpbTksrREUAJIYtQqh9xk1XIpUclB49J0am7QQWrpROq8+SZSpAROnSuzu7Q3/NoVHB2+BEQZJJFgfsCA30YjMaVTMSUaIm4nMtfR1GzBSrsE4WecIBVrpMlayGctOc0EVSBea7Xd8FsDdbf5KZQU/vOo2bVQfWQumyMtUpyzTjTZwhgTv235UFymNyN54p6PdwM/jZnFlkdnUMyztqKTEl/vxhpZMWpZpu5RyooRyZgZFgcCTmOGkylqYs5wuwRzUAimE2TDtArI1ppbOZFquYmDVeGeTjUiLKsImDbqdDZsiTbaKmikcdYHl9w1kllWDlgnzUQr7YRct+g8X9A8xqjpQ/a2J15FwBofu0a74p8ncTV5P7mIQba4xyBXszoNyeV+4/NW6KwpOidVola3VoSccqZQVM0mHkJ6AFvuNhJsPcfJVnUyexRaPxUbja+PvPPGdZCNj8NSP4dQFRquvYEZs+lg2aq0E18kURG2cixVnDhzhV9RwlF6TczDrSnnGME4dVdN9Om/Hm/KpXSCccQ6Y6ub3CPOipAzY44Up9ZVzWC7ZnLqGRoPstUeXI203VQUa93Ej9Ljt7brsG2EEyZq58+9ZakcwSrbZkyw6me3tQTNq2J8bYN4coOtorlxbh0thCoekYoRzMW7FVtvJ3jCrM1U2jblqPP2IIg0zjkqO3/f7UrtWn+exP3OZ/wgce4iFxofxDfSkFx9bnxjtlyYvBLccl8MkKAEkdcmhOonJeXwTeFrhIQ4ILm1hyz9qlcjaT7I13E5San6dQvEN7LqwF+PFIUQLOShWUIHdDfl9B0NTPNptc1rMBEwhxYdUixUO9dPYzCNr+eGo1TOp4qbXhtIqxKCpttMIqYQifgW00PFpKy5NsCMHg4RG6vl4uuAdWqwaUY58+IT2fbW0H7SZ7aMV7UE6wMKJwppMsiWzIyQCPytmkjEDiuhpTDyKlvT2yFI9sKfM1Fb3532BiUIH6f1D8q0YYO0Hf2UM7cqSCNiqwTZqh3GN8u5TDSLLSPmVnH6ic4WnR1N/FUktRLMxbsE62mcYzs3q9dBVlq9WuEkq2GG1alz3Yr0o4PO2DXa1f88qTq8A954sUbW3RVXDjcb5YpUbzTeotpGjfgeSsPhbTFRgoJZymmliawOJiedEKnLqm8bkT1CNcHzXAvhZEanTnojqJPOq0IcMJ0nIsKpCtHBGpmITg45kThrS+mf3ailGRPDWTupaEtUz21sThq4UFBUtg3SJkrpeoZyTmpF+T76AetholDvSYJrP1nmKNbLmUKXOFgKuVTnnhxxvR6pEg7IcuXkDFfHrBrPlwX8HJHxVAmuXW2Zbtlq5trm1rtdnXZ/gi19vSqKWEt/q0Acq/E2fqt+Hll3G9Y2TsiZeh2/lTsa/Ihf1aCpPz9PulK74j+f5E2Nwy0kznWEwEubCDcVbLtb5E2oERRQ5sarr99kYbY2jERNmnWTWAXDp2JtXs7qQIhgGq4zElFZvl9SrXuC0Wl/8IigW7UQ1SPud8nqhEAEgjqinYcg2QjYTp7mpdXDD8JRoWJyc8iJyMEnvQnaf8qJBGtinuwWI2hKyM2BZgN161Y0K4PketiYT4GInbczrM3XqfWTtR2w8tcsMBfAoKUx6oa57ad1DieRmo5yqqeBFoFvMymE1Frukog6aubGitSSHIRsGxXb445D2+on7jtlMHdVgk49ChyzgkRyaOGzZcMujddcfYJHbwfYnpdoeh5KpkgwZOMqZ2p7kwzHQsE2vlLJPYmgaW49KzmJuBRroZaSqVcOW06kQr0YTCQt/LQUfnzVjOCMXaNd/c+TuHxBtrivIBcUgl96vOtBd13C4fo2Qo3z/rQStRBMnHW3cnhJqtStfNA25GfMGlEwzBXXtiHXYY/85KauXVXxSsOBgGUrarWHI7VWumI0Wz8428d6Ca7HQpBCxmtvdSL8mnKE28HvFeuYee51hG1jtfMV7Wd1yLLnNmAItYdE6owh2MB61fHPu6oc/LoV8W0btW5k095J5ISpZnsQ7Gaumtg6qQe4on2agpNJG4bcnFTBOfqapmWJ03prKcFMdBS3bUVaP+kzEfh3G7ljStV0gkflTLzVybO4hAxuy22ZR5x2qzMphEpz1+Cqltz595Ou1K7y50lcOL5ecPO4gkHivI3cSy4lPrcZ3wjIdSfIVl3C8SpXAhFeDCIsla3fSYAQaMAs/O0/LQMBB7UqBZn/WttB+WnGoGOqhgPSc2WuGGZt2MS0jawibNlhzU1dlgRzMkkPjSXx9ejS/6qmQmsjypFqhaKQx7p2dY6RAklRjfTEaw81ka36iNfHTTq0HGOqXILpBFSkObUT0IZFIuaGsJ6JytTSIa5jlj23fpLimRvxFslvBBwiFK27IH5tvvZWOSBGvDUc8VpljdRhbaAWXSNH8WjWEupXcp1RWr0JR2g6KTjtdtVjUTM9xLEKDtVhhh8dlqJbxiGbDlZyw/UobMmvjTgRCdazgkBKPS7TlWrpLLdfcm2v9b+NrF/9TrLA8FN0m7JiOOsTz9SgfHcNtqFqLs7YldpV/jzp/P/vxu3cIrvbJTeblyER7jcvgw6vWcSzhMlrkHL6jbz2I63urhg+zq0ckbo2XyPbtk0EZWbqOGuufM0sndDMSrw667xkebA1a03UgUxX+FWh0aqfFJZbH05E8sjk1FahRdD0yt8ebGhg7fYcVzWbaUMpm901Uh8f2NJblYoQknV+OSFQRR2zVn5Vg9wetJjeTDdOh5UMZ23gCNdDC56c2Ja5rdt6E520XYk4qwhkUjRF4rRljqWJy6mHJqp/R/fg5zSmpI1sbckVEdTJc9/OpT7kE78pJGgDKRQHXNu7teGGW4XtnayE8xLbw8wg9c6vQyX3P7zvCYIX2vw86dGxq/x5kjc1yBUHiXMRuZcNucFscVPbFhHjXPQa4a2Ww72vhbK0Acvp192ghJTzO8vzn0yEj0KNi2haMZ2DdKvPIRy1TTqOtPSTxIy/5np0bKWiNFJsJmqNgA8BTP92go9Bo1sc9I8U7ApanT18Ikcp+tZii7rGHcq6Thd+bbIKiuFvD1ZBs9wiUmktEl81xaliMx64alY3wsMipUWk1alBIjWd3ZRuSCcRPOKAqqVbq+TERA8Bmpp5g6Lvrkv8yIKNTNHtD2i3mENYy21PrEVIJOIBrs/IlMYHXUrOlah3o0qZZXpEmqZLfHN1oinHoL4c9UF80ts1EHNW0GrR7VEgm0QrgnWuirXP+CDpiatAY7WNBFuhlAbXWbbTbfFowDzKI2RSO6nnEEQks0sT01jVb0O13LFrtCv+eRIXmtvpFeRSegsJcnd9SeITZ9mCiRwhWdxyZI/QcvZgpLbE61E7OaHpt8acqJaL1FH/GbPmwvdLQO3nBI/qNrTW2kwirYc6PrmNQMTgqklcpgTQ+K3jhBBnHU1N42mydcKyplSExm5tT3/VPFIQUzGJNYLfJkrkVjyvG6ZFj2g2A9JA7lKdy12ltr3VYM6kcUBoOBceHcxtLVACu/fhVCQYWfxa5ejEstWuk8Gkr5rbBkQVPPy1urc0mqCRNNA6SdH1OsUJEkmV88chWiInoH6WXp5WQgz51vitkZQ4eV+25ULTWWXrIDXxVswRzc+TrtSu8udJfMfJ/eOycvlwiOSbFV5m7rFXk1sO4nO/2RIhxD9HLzdqVmm+hPQgulQh1c9p2ap8sPLBdaggOkrVXFslzrxEWj8n2OqqvKL8VdMInPSADjPW7ymJS0gJUxRfH5BSkCmR+FqaL4tueVbRqS1ZsdYly4gPwt6sogKcpGQiMDQjdaimKb9i08kIVS2jWSWD1AhMaZm9olXwc/gVk8uytSQmAgE1yB4IlrOSUFtSs2F2IedM3K2dpxlptrr+CBaCibVKdMhVYXXS8LoVJ4ia/Shba4GNLKIP2aVjslTEYBPJsUiLTkW3IPsiVzV3c8+pLsF7knPOw5KW6klMpPYjEq8itbEV5aODj9PeO5a1VkPJeYiZhbqXR8TIrgMGt+WaQvo3CLkOkupH2C4kfI9o7BrtKn+e9NVvfJN3wLfRK+irgnFHuZdxgnC43/caAbnoKZRyVqfKEYF+qghYCWIrgWPbpq+yVU1Mw7yT6fw8RVwnNQLWgxUdc5u1KuiTUhXY8gHRZ9WH7JgpsWKTOmGC7Dan4nqkqh3Fk5tjCdmJjmRXjEKculvLVbXWxoq1jZOR1+pxLAE2Zmu+3ue6VfGSbrkhq6adu8vSToyvZ0s8t91EnKbTZmQrmkcHUksk6ET15WIrI1yC8msDrecg8aNmUj2Y9wi/CppCBCOynp7xKtWwlmvNV52KaRsnr3nt+dbZK6bP+3Ow7YmB2zj85qzMbNVBtKOUbSKc+ftuV2pX+fMk3sb6bTEXlIvIjQQJ6vPm8Lq6lHOvEa41ji9GRarrhIATAhG+atgAPqZUCCKRcMyCZmnSE8w302QdDUXclLWQKSsezZ7Rgs5YOfV8VEvbqVjbcIs4KU2fRAmk1PZSwq0qtXLShiUMVrXwo2N7qoGJB5ty2pYM1ke8pq8YhfMTrk0STPNHyBM5GTm9rdV1LOFJNkKQLW8X5pk0QrA+iC0iDq2+s2q6m9tlUXdbFeMyyYpC1WkzerxG4jSO4kGCfnmxSl4u0EueLz7nCDOtoux0NonDrievMkHIVcGUKJglXyYKxFk6I0v7V42tqiZG6giZHRqaad4nEnGw3YF6mORitWeQXXXWcmLmiuY9OfaDAlJgfV4VE68XNYTaTztzHWhWMQULAd+LUSNV08O3gbFrtGv9eZLvJDeSy+f19Zo2JP79ONx1xHmvrMKlvxXJMlekQ966SDWmhVziJ9L4aaByCHIItdY2ccsR0VFKX2c78hH5xKltECSyxtOkRySh6YBppjHXog0rH05myYxHjyZbUa6cGgdr4v2hOqkShyputcG3kTWOf35vQ96egLkR3x7FitBaD9X3tW3TVSRYdeBLTj/brFolCpdjxF2ig4jWConbrBVDUND0OM5lpAVPhl2Z6xOUlq+NtSXiSUGn+sF8yTrqKpGqXDFSlsiXIAW3DbRa6qTiiZOUSKnTCjVMueCt5FRkWf0QcNajM9Frj/37n3m7ziU2P096dOwqf57EXeTdwOH++X0VvpGGXFNeOfA+Ivi+h1TR8W2MvyK75vLCKEWrkaq57kJjyQhs1dLEwwRtAELtkxc1fWIEFaklwlmRXRylUhckEYe2820oaji0FM6a1SL4tQ05YmRFOB5RTkwMH4SQrhIEt+SKlW8zHlGty9J4bZhzq8o+DpkuEyfl/O9nne+CKKjG0h50ciXSao4oERMr1jj+ed16Aiwr5sq1Q67kemgiu+nBbjlJaOkHnRwmkdq5GGVzU66+AjmHYJ6XBFO2uPYM+mWEXNBulfL5ppxdReHoy8JKQMHpSI/jllUM4tREttZhK5MIgyuy9s9pqwbaEgRyEVeKrfqkHJDcdvnx1ck4iURZPxETRR96FbSofppxmRMQU/HESTNVdi3UMC0FM3X6Z2nEpRWJxIdZCWA7OjEn4DmPXaNd5c+T/PtuONxC7ysX1Ag+95LXhjv6/SBSONxvZFsVlydBc8GqVgmNFjvnH41GnPfWpQ2nK3TCSW583tuTILn4KOMoa9BCt+I6KcE0Foe44nBCxmrDIJGmLzbaNhLMFMxVz6c+5dbwmusy/eC4lYmqzhGGHAedrYKd1HI4MPPEgwTXwU96q6VrvHFqodrkKk4EAia/+RFxWe9ew3bULu2H5V3VO7YmgjSjbM26BFsK+rdGxIxfgxWTpUIGr1Is12Ezy3bYqgliNdd4jdR4fcdVW50gkapwOZKIValMVEvAyRL/XPMcU25baIvnLbVbWs98Pe2qsCIcbH6edKV2rf9+Eveby4cD5tM9Pteau8vVvA/krUCcFwB0qX6tkuVJUJGqXAn0WWlUgbPy8w1ikC/HpjQkbha+ynbFMoJE5LObI6qC8bOrD+KjRtBWo7liDtAZRSIh5Lh0ILBrhP9CBtuwq76R9XEbWZks1SdYz8e41WsPVVNOpMA0lvRMFJ3qt0g7BysmGEwnKWcDPhcj6Yr0FuEQahU11x6Mt10QNZ5CThJMk9BYyiTC/cSxT/j47K5tB4kcPSYQ2ZAzgigfC7mKQFCWpU0mt/rbiClZ1gFB/MiGI9az3WKycDI4nefVZstBqj5+XoE6bGWCRuDUgzLejg50qNoDfiuRSJD4qnNrBDR3fTqJkNUqXlJrRTmmO0iuAZZC2wiPzwhSRmpLOShzrQVTPz1E7QgZGUfZsWu0K/55EvdvixC4uFxxr/49+eTWJTd7WwICX8WOlmpWbIRGs2iYlubVapqVtiK7OLXhSMlBsM6Y+CWYlG2rW2btxN7WeMVsVTLYqmw7uZBZ9cEcSI4aBR05VdNcE1UDpdWJsoxUIxzhKlXjqbjFtLQ6VTAtVf3GyRKyv4RoqLWjaCI5Q8gJ2sM5Kq4TI6JDfC0nspuW8EmxZ9W2TWa09Ry2waTgHMm29K1OOGmPhre3rvIdX77T1etNetTA5LL0NHC28zbZFWsh/abAVlNeI7VW+jlxgk3hcrTVKgXmHT8pHU6cqhA8OoQs6yytGbbcffJdP6l/ic3Pkx4du+J/j7v+rKV+c4bDheamci+5xPU7Bu4uEd6HI45LafgWAmHGB+GvSxRAExuGkD5TGqSu1UG60jcldel5lXUQE11KFjOFGOWtAvxVM5hg5SC4ZkW8TuqWU9QOg3JwwNZVm4KgW4mEX/tZmSmdYDtqtvKYomx1IsYhpzdpbSKZkTKSozjBJuVzN56JGqaTBO2qRiJYW6rYipLuksFVw1RbX4ognIjzHxMhlR4a1gNcm2fXCL6IrKdRi7qblszlgUat8cFMuj2HbRDNOovNuNtaSnrVqZzanifQUiDXLAgOEmwvQh0WJNeLVI8UHRwS202riSvWQvptKERcJr5GwNQ6etaJ5Eo0hSNshy/aaqTgIJ53/Kh05bQTbtgay3USUZBGPM0YYYtg/LFrtKv8nOQV5PLlLoLeXV8D7i7X2kvMMl96jGSrcnQaRr+9QnnZROMpVEVSWoIpmC9nI1dsdcOvJdJ/lpJFgvXr4xbVJ9csnES2NJfr2bZOCLKFD6ZzsHUYRN+TMT1qftGJrLgecu2nxhvHcqRnLjGd2MOqTxACqM5WtirkSoCMYHoiFXNQVYqlh1Y7OZn6iICazbSWKuYXCRA/cRWydaQpwscxEQfLQ197a21XrImm4CObtyBYxVeUYHv5KpFJo0OJOkLEgz67tBQpsLW06tCJiWapYHucQGWaC9mIyvLXZ7piDopCbTcOu9BAI6vseSESbdX21mHXCIJV4Vw/V4IRlMpRk9giMOvBpiKIgqdXHZig+udtVFyZtRDYerBJaD7cWhRfsn+lY+wa7So/J3HhuILcyNxFkDgRf/GrdxfMF7VEct3XSJB3oOqD68tjBAWQlBQKGpGQRJdgaNSyDQSNrLXkKxh+rQVWMrurrJh49FOuRkI2aAMgFjW/BLROaJKITJ4IUuG0zygVa5Om5xePiushg/JbGxXZdYRo4mOkZHaxnbDNs1WnWGXXiYhD4E62eP03sTyoKpVy6cRddewnDbA0COZBhKaImvHPkVwwRV1m8Mps+jKl6bOVrHak6b8GqwjxzJ4qta6c5FasjYHtq8T5Vs1FzSM1suWLraKRJCbL9nQaf0U4DLg+9HpcRnJQ7WWBmSX8etPqvVKQXOrWSC0BnrQqtkOwnDrqx9+ihXJWR872YCuuDvwMWwc/R8RtLIcQwYq1BwulvSQmgjN2pXaVn5OwvFpBI2xxI+svS/eNeam48b7PvBUt4vtfX4YgnPhpUuQrkSmphbLM6tQU+REMTbSWHBszssq2JUz1Uy4RR/Mc1DSF5l1GrWKdGk6+CsvPuXkCdbpUTPqR7Hn8KIIyTo0T0cnsQYI+fZ36rPPIQHbzKNtcqWUQjDiCbBFsxygn5cSUWxuruStmKJZ2Xntr3QYJ1gNkSTAVw2ya6TlHLY2l/aclnYoJ4ihSd1GIlLvOhVNza88S0qpZWwyniRtRjWB0KrMeneejn8i2ioLrsa8ITXKGOnKO8FaCGBq17HAtQfykVbEdAin1TbkE7cH09fSMcOtaJIdJq5UfKYdykIprvEZI18khbJ9a+gRNT918NUuikbFrtKv8nMTd5f6tlxvkUsoh3u70hagCVz+aKUe8RSqalbpwjIAs4aRVtvjSYApBkJS8cmmmfSmBSUp2wwd5A20DH4SQL1tNNtNlmebtUIdIOowyWfjOzlL9hu3LZb5YyM+56eRAgpfI1gfUyoW55dQvsnJ07LA1E4fdPAKWUQbJbYPkcGqtHIKapq/HKAfclksJRcCaW2ltKB347fCrA0ojsR5pckGk4qyaornugg6OlMcFKtt6bg1XztoqNE7GHpK79gxB/hbbbhXHAfP4jKxMnDymC9HToGe6PWeCbUAQ/yiSQ6uXszKD6z0Bw88xNoVMDdaja8eYCLn1/p9gbdhlk6riW7Q3yCgk7pJjZOlQ6+AknkfsCnT3/KnVQmmDLWVrZOwa7So/J+UGg/nqI3JZvdnGfWdyTcUaWX2utUtuPLd8fWESwVySaKSms2yl0yopOOjj27C5tQ1842kD5SMmSBwa2Io2THui73Ym8qsbCviYHRJRGT4RnCzPa4kwcWSam3I045JdI6ZU2bVEfUA1XplHnIrhWNenk9O2n4o6nBjkfH30cNox1iqiNCc1Ao0IiG/niSji4VuO3ZxVOtzOW4eCltsFpoc1AhJZj7oSIuUlaVJBS9cxV1kjaTVMq4Auc7y1ED5Oco969tzMqidmJIe5ihPBb893y8SpW+dYOwTXlojUeDuccwx5eyzVX5nnaG4mJVhfk/WQfXwsm8KR3xpmaaFI6Z+g1eudBMm1JXdroTjEWw9EGqfiWlpExPsAjQtT27Y0WCNj12hX+Tmp3eAjhMnV9OLyzrDkQrOVlxnjBeOie4l5PeRkeSJOFmSXMlmSRa4vJ7i+M+a6W/WTC6Zhd0NTYWXqh1+D2bKiWLfg55cEUQXJa4dEcLJMqyxJyUnW0yaCI9NcBcEsU8j0OoIVq7iCBNcvjvGPOA3lgPg0QBCRdiCgW+EwnQo49Nz4tc8gQXIhpB9yjeDnGInkcBgctZyJbdT4dl5nMVLVTrD2pkJGcOs8vaLjkFuPPbLBRMIBiVQ1CS5rG0lsUuyqE3LOM7dLBwIp7alVhImDIavaeg6K1OWJr1TF2pIVeZo1ngFPEPEcYIJG6t249Z6coLnwnUXHtnXWCEiwKfAsCPKw0jN8ImvDEVlxPdgjpsq1yTpvTiBFE1k54loiDbRH1pg5NPn4Y9doV/zvJ3HzePGqwxVvCNkbDOLjQOZm18jWEbn3W9kjrOUaWldBfF7Rpk9u4ufVV2blt6BY56q5+PXosnQQMA3n0PiSVzlNf3XgXzJUGkihoFsIxsEqoU50hEecxNE0iJMZ7cet2tuWXAchrn7QwWu8RXCqAkEilaO/xlOlzlilzjHKVQ1fx62jXCrmoNZbcSHaNolN2VnWBmDWSSOSp3Pes5iGT7ac5cITCDNO3cp5BpPuBQshufVFYNnmrSKmH3FWrMwjv+ElR1qRfpoCkSOnYju6OOflVr4N5Imshba4nkAi9WvCUUu16LpL4v/5M++Ec6HNv5/06NgPw993w9l+X8i9xOHWilx67iuXvkXANQLyYqCvVPD8f9eV3KbDFq8WaMP0QDxLqxAxblbdFRknTL+20jDB1GI36bV0m6tWwY+yJ6mTLOZiWQ9NDinEI5vdNVLLgerXokH4nJLMdB5asohXQdASxJNSdytHP+JoGicSMnFnhGM/RPTvFFjGzKEF4dQq9py4uUbYIsVIUyARhap2FDcI2iG+Ijm6c58UHNVADIXWZPgNM3tuhelEckS1SQgtAtNH0KrkmSYogQjx9Wnm5tSUmlgjYBpOMH6e/raBKIg5AZlwkpItOkyrLkG/YuSChUBK4kTEOm+YiEhmaQqIlEgnYbZIVdOXgwKaaxaOhdaveFtEZK3uEkyHiQQht6OLc46Vbxtq6qfirZgzTP8IGtm2BC0+tDpCw4iPXaNd5c+TvvqNb3LnuHzcSy8it9MIF1eHIJfbC4rPpWeLLwr6F0ZUsEqUXVZki5eHHpLbdOihCiaethOpuA5lOSeKZpzaQDC7YOsKXGep6Fyt55ZV47diJlpriY4mOZ2ngdrJOgu4nsnlzJriUqtBMH1iRnAM5jFVER07b50YrIOHxrFXjrsgto0bDNZOZMbJVhwbSGJKgyi72wZsuRVJvNPl3R+z1WGJ3OrYYXTWoAg/u03hKGXFW2nMaP+Iy7xQ+QhtO1KcTz3qoIR1RjAtVeZKC+ZYVmfFbOXBJXL51O1ioFB1gm2Qike1orw6lYYC5TRPuN7DWvekBxGF5pyfQwSPaGzN/9/tSu3q/74bS+5lInGIt+9suMSg/iURFJAiPcr5hqkiW2TRQ82FzC5B0SBvbBoW7TYdhlZ3W2nIVROMWm0gIlVZQrZQVj+YYVMXpv6a5exVv2L4FTNRsFaEQyIoWR18aTi1YpvFM0yh2gNfTJMVvss1pcZFlc1N56SEnBGcTrWqiW+cTow7jlluqR9aS7TWKpg4vrIScs4ya7ls1WeRRG+yauqHc5Rb0UQPud7G2uRRBF8FL7lBz6SVMG5uVThKWbGd/xbrBTOiQ24jr5EVyUUtUrSap1xRguTMmNPg2BMJM4cQWhKjHE4ilda2cksTyRR10q1Ph/lKxXItKra7EYQfzYbr3dteQnSo6GgeV61Vn+n2y0Ii6hhMJKOtSKLiLNNPPSLQKmPXaFf586T6/3fjLnJBuYVc6Br0JcGM48DhrovJOomQolo0ebVw2OXG6yfY9OU0QXBtprZN3C2w7hrRtuNsEU6Wbbps1eqXoHXTFTNyzrdWCRJRpx6makQiVY8uKcbX006Vtdx2V6e22tpeI8ldW63x9Ll2kq01Yi4pzZfZTlikgZxe21IWBZ17RRKxdjjWOk8U08k6yBZPCoWWM8/INoltdYirkJTVOSLUWcSoff+IVMapkUwh1i3QeJy8GjmWej2SGwdzC2a90iK7WW4JoFIVT45LzbynVedIv8ZPlI+wpUTt/JwzeM7TCOlHX9BSKI7p8atmgrUN8D+87wloF9r8POnRsSv++25Hn+LxuaZcWe6ocRAO1xeHYLJOIqZEE+T9UYpd/RqETMWqoKBBkbhZvGktEhFz624idtXKnaB8kQOJrxocWk31FWmyRaybLEQ8Z4NWMb42IBI3NwdIUOVIKdtSXNasyJ6U2+4aqU9nfVJG4NcU/LVV0W8r2b5TBC4AACJzSURBVGXJUdRd4pykdxUfQxAfMnGWasqMX29ROs+1qeeQICnKgtF3eTlavR5Iap1gCmVkl63tFdtTqN+dG4yUbSBFBGuHXHVsKSlb5yTeDi1Ow/OzXXfpmd5ou8b5Lw/a0cBcFYKZMXfASfFVoHM569NXxHSwHlGK1mV96YJKtXHaMQaTCMFHWdWij1qrmwhNRq0V3UZAm0EHVAF0GU6rC6axHEuaDCdq+pk6FUnRVzmaYbLUkWPW2DXaFf88iZvHtfbycRd561zic2vFxgHdusQBk857EoTALu8DfgjyTa8K0eGVS9aqg0P/cpIFIcwoQOM9tESCSblXVD9T1HHagGvPNQJiyq6DtD5rukgw6StW8XS1HXyNXxI52W2zWJ1mEjFlvQPZdYnlfuITrIcQpg93K9KCLd14PdJLsHZ+crDpPPzViaD9u7QxLYLbEmJ6UJOspl8RfpUNpts1JYn19LZb27oJrrTVWTl0SxBcq7tlHKdegyOsImt6mjk66nZ0dVmz0nztVsxWdUxETWtqQbe2TqbQOWlgRURIVKddA7dS5f6wnnnmSsNVvHaVEdiaP590pXaVP0/imxUuX/3YzmV1SdxrKjZOtvBvjdT0IBzivIRGIOT7P9PZqgoib1TNajomyqlZzBImhUKzCjpryiVIrlJ24hTVoS6EtgXaSbZE/iOCMoLK1q6sxZcJaIlUQdDgtkOfJk7NVbASktIKVWbwKJcIuTbP0kibxeqJiDmi6NRdgjgEpSXdb7jbt90+3FWESA3aSc7QFJdH6F1qfjonXWd9doiHduKAkD1blnUurM5iiYjXp1A12SVY9SuaSwrLKoVzlBJMoYamu6wiJ8eVyOo0DkvGARMPZssIp8Ex1hNbsYq0dBwq+kXp6KhBH02witc7kHHAnINYR/Zx581S37oE4ajGMgRLtAbwLaRTq2yxtWQihiBT5BUzXuveittDq7VySh41jmSyWlc5Hwjg2DXaVX5O4hLXLyXeS+Isvb4uE5ST1+ZCrOlB41x9Iywx+vEdcCtvCFjfmfoFqJIrv2ZZRSZYCWylYi1x5LdcHdq2H6VAe6PPFqk9k0V6Jei3Kq0WhDpUBBPcZq1xs/KY8rjjqFwjt/YWx9Fw0tjK16+7kClEXX+dSLyNJk0CWx6aFde7t2KtuF6k3MDISkghj86UpCfFOFibaUe65ScCZkyqgzacXfw6wnr46bCpGWyoICmQ6TMKLFdyw/xy3rB+STGCsTw5rssjGWd9NOukLn0Q6z9Ewm4VaemWZmmErTzHOGyB9XGIa8R+xJyDWCfFgV+bBPNkWaocp5ao6FwUquKWI9FgZpcZH/QJRlA+lk5q9bWTGklKza21QMlpiaWdt67sgXRPZuwa7Yr/vhsOyF30Xrr0Tnt9CXKDZdYvgicIH7IvmMto5i3CSS2yINuPRVlWKepKI1J11Dfd3Yp1IpmoVULdkpxy6MuhKyLoJ5LpQrDtW7H2rGyCEtyKfiqCLA3my0cVpGF3w29ZNU7Eijjupsk46SoRmOSmNyJHVegwkXRbsTJrPL82WE6RNhoN0A8R/Jw8jrL1xBqSiBM1FUwHSVQnkbqMQ1YlBPMgwNTSCW3NWjG9gR6jR6QyVXDquwCGn0jUchpJz1YIOOx65pUcwppya0RUx5byZL9PzLD10bCFY/NejzRghKXHiB8Rlorgc6RrOihfP0EdFcwF0eQcFEG2RZIbXA/NFCqaIhKskdTavlbBHE4VB9kiMc7RIUtQyqWDUNdgrd4OlnKtN4JuGbG3Nr60tJ14mFHgBKw1do12xX8+ibvrRfS+gtzIxLmm3PsEQ0v8yIdZl1VzxUargpGqTlXbttSQV8svXlq2SOHFqyJgCHFIr0NVRzyfbkXLIWv1KNBP+twWCla1dXc9ihpB85Jm3M0RRc2WbDX64lr3CLcdtgZsrCWCxPNE1ptge5JblboVXJ9dOqnBCwlrrTzZCzWjEHQudRJfZ3HYVbmmr7sihFwA+Ale2PwR2tIPRIfLRof1yrmFT8PqOylYZ0n17Oas2pbKRo46gdDE0w+o+NZRdnVyJkRaSk1cawUzS42vU4QW/QySHnD8+lPF015rrKFV4MTB3God5gTSQLZIWTuPYGjz55Ou1K7777txj72C3EjjIkvudw3iSzPORSfIXUfBuK8Zd73Skn70vUul0YlLFUDU2IomGAXqutWybIy4jdEhS6yqkUK3mevu/r+qEmaUEwnHWrYNUi7+SUQRqxNkiQPWPlvFilUNTBvZbQcI1giE/DbEUTMRzxGlegQTCdr/Ggd9ECTmzrS4hezH0i0FMkEiOBknN8HO2TIlmi3RZVWuw4o5iiM8Iihe28A/SqGHGgkhjUUtOolEv6JnIi3HAiZ9W1c+gmkgtGTd2vxR3Jaqji3V3wW71VfHDnOqFJJG3IeIzxaEzGIEtLrkelZuJVGUvEUVchr0kH7cigh+jeCTUo80jmeCs+aGD7q1RRTCT1xxi+pnZA1+BkkPnnMVJwIHh0OucbG+mNaKQzw0S+sTh9AaqGpGGipISnDsGu2Kf57EFeQXLW8k97Utg9xOgmS1OJEjp6LpvAy1Ig6vykrDWUUg877h8zqR1Zir1NpPRqhSdkLQpfGqs8Uo4JPrXCwtwW7OsEXCVKrt2kb6lFZrxZejmpg2qoPV9CBxFfS3zVTxSrtvXNsjDmJy1qGSHk57Rq1naG5lahNZHl2Ptejl2M4qRWuhqh9+4k1BdIp0CIa2DlhrVaZSCdZXZh05Fc9PI7lxUq7VDd/GQk4bq/iKJLY3NGeCg+UyqEkEXwJbeeK1upFgChlBoba3TmeJyjGyfukgJRE4da6KEFJUqSiAxlsQrOIgidVJt2shrB5p3aonVkuw1cS3pdPqUc9ieiMx5GhmKSeR2iciT77rJ3EutPl50qNjV/nzJL5j4+bxbngFuX9cR5fcVJci5FxTLm7dZWlwjYhmqamIJQjyMiQrVRQnsfXAi6RPlkx7tlCTShw0wlcBi+LTgFuZ3WVK3IqVSbptI6JazrBFZIIm2pK7fj/Hf6aYS0tErAWZCGOGgyNT3yVoBA5ZpihFPHVVMG7QCOk2w1IkaIq0e0VrOYj61WELC3+tmy0UCIL15KWhUw/cWqGZmOuRfqKsQjDnuY203fZY65OyDXy27JMtCDrWNVKnBjNFOgQtRDyReg4rMy3ZTH1l4oCOoyxot8kNmmKJ5mSi7SC2lEOobdyKMDmENrhP08MBPYRoumXdPHF3wUQSJ6X2SaSdQA4zjk8nHHwFHS3tgTUCJykVJeR8oPm8nAInnARtlX5qJITsHhXCyW7dcgTTxVywJm48fRrEVxOHI8WpUiETtzpLd/FxUitLHSK5TuSioyCRsWu0q/x5Uvv/u4nE2xLjbZTpC+D7oNMQJre8RXg3eEmiKW5zaz+UIH5UqDW5ElZMXfi8cvZpYzbZ+OssW0Rtne4SJFEHEfpx9hyCyloK6YS8arJrMzjbVnUqJ2MmCC0l5Bis5BO/YSuaAVvb0OoxNpEtHknR/Po0g+kHjEKTyhLaSduN7BL95mSZ6qSkw6a/dlifDluJrJwquJZeCyVSS4RQFcLJi5Mm42zTa2n99apvnXY+5q7DttKtN/lqRiFxShDUmo4p9QSOkNwqu2K6Urzmti2l1mbqZU7R1cGaYAYxN/FU357MhUhWlvjRpNs6TiWnYvrMdWqaceoXIoK+2vPnk67Urvjvu3H/KrYlNF4ArrKf63kBRC4x8RVhgtzmkLnlbOXbgmCkeGfMbf24ixR+BCHjgHBEdqNwhKRAyzclLO0TBwXQJluWnDVeUbXa9uWoQzpzZXYdgyD6KWekkht6OEnPsbA0kqVkl3lkSQQp4XHdySy59flyaBGBLy0ROUlUPwOm4RSFVuNmnSPNtHtlw5SQkB4qVoU0U7vKkjZI2RLc3W6tjmj1HJ0NNP21w3ZRE8lo5BqRn3MOmqVCCjmaJ1ZLhGBuZgwn1VNuO4jpBOsWDg2HcORAa+djt3VYlkbyjECyDJorRjx84+jIDF+d2s8JejKkpFDF7dPxlvrnrsglmFmUNWVtJpppoDkewiroIBk58bprooQV2cXquQUJugUSUcpHENmcg1k52JxJHllQJ4lpUhH4bo1do73105/+9I37cO2ll1767Gc/+1d37W/+5m9ef/11/Z/+6Z9+97vffUM6sK/+3//t7T/xo//vt/8J/Jfvvv7/fPuf3/H2m2XFt/3oW7/73Tu/YP/zd98KgVsO8tr8m7ff+T5gG4FJSrZA0tXXh/ATb3vrW9/6FsR/7Md+zNeMJQ4cESYcvjLT6qv/33fphP9I5IWhEBwRJsruWm7tjenUUSpxmvS/RFaFI1+kHzQ5KPza/IrkOkU7anbr7AYVp7EMXouG3DTpLekenaOBENK56SwtTf+kMIi5/Adf40ltG8jzjQO2SBxT/re33pyDVcRalFk8FntzBFp97Ef/J7ncE/yG6OdeKc6YPl9Hs2hmrCP4KFGgAZa20ZZV2UienU3WrWBSKhlsR+eyVaSrH3/bncvQJvWXGQj813Sogh/BnHPQrDRjIX0UPMD1BoYWn//gWzTV44DQku4yWW5tz1y/lmaQ8sXh5q46XYZFhP9wWPIFoWWtRweznZtL8aixLXqSPn2W/FdFWpU0zK6vEkt1kpi69emn7ZAzKZp563V8TPynoB0mN7uJV+VadEVenJzz0bnFRzwXyYrJkukWS9C3spVz6vrmRq209KPvfMedT5wn9v38sjj24OyN/MneO9/5zldfffVm8T17+eWXn3rqqZvFgX39v/53rjhXE2SpA3Kn+byfLb6S+vGfW9uQ743c4lulXPEjTBWW4aPgN0ytB+uydafRu3EwieEE3V37ScQ2anqC4pq7iqwRnPQPtqOrEaeoTuU4qZEcuOVUYFm7BY80o3by4ExPChFrkYXf5jW4FblXrEVB21bfWm6lDc+26dT2VGiCW/2WG0F2w/fEslyx6TdsT7+Saw8N2WqXJLvp1qNg9/yZgvXO1NL1eINsYau/4q11QdLlewNxiGSrMrclwm9TE6+5K7asunuusKYg1R4ieOtjjY6HXAWDOX/Tc0TZUioKatYqTaF1AravG+xmC6wKFRWxIi1FpC3rLOu8OGnGFJYtK5jSMCkBsxbFSVc6sdAu+f/g3vcvi2MPzt7I33f7/d///Rvve/aJT3ziktvAhfOWg3ynQoSLyNK7mK38KJVb25BbrgNh3eVrQY3AsQpL0F0UUlonSBsgDbCkE9DE2lvQ3dpP9GtLDkgKu77bwTDhRETnRBYn/aPsS94iVsxcaRspg4iET7z97FoFl6ANWCVSEQdJN9ISbbimE8eM4EAG8eu8CSZxi0e7LV77BO1ffWvVSM626aQ9TkxCjq7qZzfVa65orWTlYR1hlF3SVY209MiCMNt9A/lVgTZqouS1Wxzi7MIkskpVhOAVsiscFMDaW8qB8GGG3zji9otAfSjQINi/N9CItJoFSmvlQmtTt9xgqrtsTzbBKNRus1uXNlyPjq7YahGbx+RXHZZrlWzVdI/ILZWVigKa8utWVQDdDeYZyZQTjHgNKmIbVGSZC+bRRbPOss6Lg9U2js6hNkAtG0gVlQ3KxGGLI5Kfurfaff+yOPbg7A3+k2LtszP+448/frM4tv/rG/+N++fl820hqOM1Xbd4E/LNBPd1i+t3GzWuYIJyWumKtMHLgwPBrJUDOkhkj9BykQreOtQRrv2vzhFWQpUC7bBGfBytbntGJ5jEmm6VNkgleyy1mQTDOcLtNThpr14PkAfannvVdJme60kGDZq+7dn0ozOs8cZJudVpaKI91NJpwEQwWfhHl1mdk/NHMOemlOLJql3pu5t0ExunRkKuqPiaoriyIacKu1j8yrkcm7jYjuh8KdbZ0w8TtcOUkDjBpnOCEW+JtfQ2COaxrodcUdmjZx1ZaMnKZUtFa8HBJKer7dHVhs3aEiot1YNmsYtjUCdqVfaSnydh9/fL4tiDszf4z3H/4R/+4Y1391PzhbfB94Frx3UU+czuFkvfh7bFNSWFS4wj8h7GF0OAX3dTqwatFX1aqkVB2nALPm8RucqGTxxn+33PinDQXJltKHEdbcW0aj/gGjnCMJUimKWlEwH9Ype6brVndITrIKaDLdLIPjJpYIJV6uiU1msAOrtPLc/a3VwPkQeqb/WmKYZcDzayLmFybbY9swvz6AxrvHFSrkXqREYcCqeV1k+Kai5xfNb+mlHRrMxSpTJRzi1duVWPt44DISJJJMUXKhOZla749RJMbwpGlvRaGkd9MZrEq185FRU5iqRKJbTHfb5Mk3Yi2v96mC2OH51zpIq5eeLZwrfEOleKcrYpbSRYnxFLcrfPuo5ZcxWsbTgdhKppVzm62qqYuWqw0tIAy9q/KKcGW3UJoV1i9/fL4tiDszf4c9Kzzz77xBM3H7F/93d/V+dWyxvSLj3B+tU5CA0nN5gXg2XeW3aN+44ZzFsqoo+zBlOa97AuK1rOrxfSUh2r7R2hBNUSsQ3E00+w9blFpNqvGfeK6YGlQ9GYpemqnkCrXrdAdFpERDDPSCSuMssIpladGkKlRSE9gPKJu5VxKl9OHi5LgnWpgrXa+UDYaoJESGmD1ysk05ujgj4HAgGnJoJHZ7jilpnScSwB2U6IOKxt1ENIoiM7aQYPXzSoVPUtB9bTq1spFExvIDTj6yCgNDphGU2DEoJmsZWLZ5NidolXv02a2eEcRcR6DkQMNrWT3XoZKOEIW1x3yUrpitspzMrI0oiARtp7mpRzhJbHrSwVawQawXoNMkhrxmDD7OLk6OqZ1wEzL2SMieoJRKG2B9YsRWoPyUotIpdY/WXx2f/0n3XG3kB74/9dAH87lk/Nl/95fm4ht59r1y69r0SNiFz0+v6cL7e4BlGmVr40pBavSoIiTeqTBUYNX/OrDJH2mgXpsGoayVZlrgo1Uv3U9STbiV2CaVsFfcXpqjKpW7+yJOg4ISeyCqZnyXUr6SxTxdL6t6LH0k6yIpxWIq1mF6zNQ8bPEVU1y+G38zddTEupkvZqStrIISSyckSL1ggIrfVghKubojq1DVNEykWw0uJk6i2qFgXUIgWuQ9XegmkblI8pC4FOmqZOBJOF1HpJQo6PQm1gHRnOUWRFBbNMisjgdVkFPZP1l/+KnlU9QxzS14eynUKdHI67LC1KcHtQpOTBrRGQJQ4REFnSQSetTdY2MmZrxmArkV2dI6zKLNXBWSPwbSy18oK39kQ6ycngS7vQ8svikz/zvxsZewPtjf+cxFXgs/PHP/7xm/UFxn3l9ntxg8Rza72UxvG5snk5xVxlse2uyOtRl7VurQWujYkkplarm11yaxURfTmrjgTV7JATgNYingCR+hpHszbczu1W32ZU0FccrBx6SNGUi7N2shUEnUhOhjICchQQ2BL92kQ8zBXZxfHa5CS3tFoCJ63yn7s5FrcsbRYKZpEOwafgbvg4FStHBTohXRF2iROMw26LVCdfrO8JoyymeiIQnJp4Xj1wy6eNqgbmTHJW9QzpAUdCjsg4QXebmpxgewT60bSfBKWBSrUOwZTQh5BbHZQJXhJJ/6nSjihM8KTW9v6AOUwx5yOfXHTwFYG8KidSdQxCqEGWpoB1N7216klEzdHI9Rw4BPzQ5EQTzAVIz27VyyNzHQTMabf0tHTkwIfZ+hfdanEieWr4uW8X2n38sjj24OyR+Bc/X3nllcv/PP+nf+vOV+SxsbGxsbErsk//6T38antPvyyOPVB743+ehM1tGBsbGxsbi80vi4+OPRKfk8bGxsbGxsbGHkGbz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3t7y7/8y7/cuGNjY2NjY2NjY8Xm50ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3t7M35Oeu2111544YWXXnrpZj02NjY2NjY2trM30eek//H6Pz/33HNPPfXUE0888eEPf/iDH/zgY4899vTTT88HprGxsbGxsbGtvVn+/26vvfbaRz/60RdeeOFmXextb3vb3/7t337gAx+4WY+NjY2NjY2N3bU3y8+T8iHpE5/4xMsvv8ynQ+xzn/scH5L+6Z/+6YMf/OArr7wic2xsbGxsbGxMe1N8TuITkh+Snnnmmeeff/6pp54y/uyzz372s5/V/7M/+zOdsbGxsbGxh2wf+9jHnn766c985jM367FHxt4Uv+/23HPPff7zn8d59dVXH3/8cYOxd77zncR//ud//u/+7u9uQmNjY2NjYw/R3vKWt4DzK9EjaA/250l8NOYD8oc//OH1d7VeeukltrAH/Rter732mh+SuH/rhyTsQx/6EPjlL395futtbGxsbOwNtHe84x033tgjYw/2c9Iv/MIv8PnjhRde+I3f+I2b0Pfst37rt/xo8sQTT9yEHoy9+uqrOr/yK7+i0yx/gvvrX/+6ztjY2NjY2MO3b3/72zfe2CNjD/Zz0i/90i8988wzOHwk+uIXv2gQ+8xnPuPfxv/zP//z7c94tNdee+0tF9hHP/rRm4Sd5dPP+9//fp1mTz75pM4//uM/6oyNjY2NjT18m58nPYL2wP8c9+c+97m3v/3tOL/zO7/D5x4c8JOf/CQOH6H4IHWHdGCP/cS/ufFO7fwfQPrKV76iY/XV8kHtiDA2NjY29kNp/PKRv+jTjF8R3HqYvzTMz5MeQXvgn5P4FPIHf/AHOK+++qofj/zxzxNPPMFHqDuMY/uJx9764osv/pdTg/DXf/3XNwk7yxV/3/vep9Ps3e9+t858ThobGxt7U9mf/MmffPiurX/RjF+q3Pra1752E3rwNj9PegTtIf19t6effvrLX/4yzvPPP++nJT4kPfvss3c3H6xx+63Ih6rtj6/4doE3AYfePvGJTxgcGxsbG/uht//x+j//H//u3/rHWF9++eX8qzH5dYFfFPilweDW/PXl3N7//vf7R1BO7C3z990eWbv7Dy4+cHvxxRdv6t01rsLNxoO3/NSKz0k3oX9txCXAvAmNjY2Njb057Atf+IK/BPzar/2aET42/ezP/iyR97znPUaOjI9W5p7bJb/kyeSb+Zv12CNjD/z33bQPfOAD9adHf/zHf3zjPXjLb7flDyo1yx/fPvqNubGxsbGxH1Z75q7h/MVf/MULd/+g0h/90R/9wz/8A86f/umf3mEc21NPPUUuH27O7Td/8zdvEm6z+fNJj6LdfF56wMbH8/r3/7k3Nxun1rKOjE9gNwk7y4+Lnn/++ZvQv7b8TPXFF1+8CY2NjY2NvWnM33fD3vOe9+R3P85/ZfmBm0Uv/MVx7GHaQ/p50ic/+UkvIpcA5DN7/WcCTizX98T+8i//8sbbWf55pC996Us6zf7+7/9ehzdEZ2xsbGzszWOPP/643zB/7Wtf++Vf/mUcvkU//2NJD8jm50mPoD2MP8dd/0Dcxz/+8fe+973+oOib3/ymhBPzp6Dn9uSTT+YP320tf4p8O6z/3xI+wOUnT2NjY2NjbzbLrxTYQ/ubRjH/HPf8SvQI2sP4nMSHGD6k54PR5z//+eeeew6HW3jrPw3wA7H8lbf16qeZL3zhC/4W9djY2NjYm9D4fj7fmV/+OYlfX771rW/dLH7kRx577LHXX3+9IsGPfOQj/l7Kic3fd3t07c5vvj1Iy1Wrf90sv8P1cP5IUP0rCbViPqXd+pcaxsbGxsZ+iC1/603jG/tXX331Zu/Y2l/lPrL5+25XbQ/250lf+cpXfu7nfg6n/SzxlVdeee9734vDB5SH83+ffemllz74wQ/q8wI89dRT1PUPP7Hk8/v579yNjY2Njf2w2muvveYfCOGXqk996lP+QZFnnnmmfXja2sc+9rFb/59XH/nIR279x/nm50mPrD3Yz0n+jhsO96/9f9yee+45/zf+D+23gV944YVf//Vf97NRjEv5V3/1Vyf/j7mxsbGxsR9u47OOf7XIX6ryG3B8e3/r75f9oGz+fNIjaw/2c9JLL730ne98513vetf2pzVexKd+7j8++a6fNPIQjO8b6OpLX/rS+9///g996EPzY6SxsbGxN7PxK5E/QHr+e/9LBn6ZeOLuP0kDvvzyyw/nG+n5edIjaw/jz3GPjY2NjY09gpbfcWt/COSTn/yk/8e3W/+/JT8o83MSn8z4Hn791wF+7/d+b/6m0Rtl8zlpbGxsbOxNavk8tP4WW/7cyIsvvph/h+/Bmf9Czc1isYf2cW1stfmcNDY2Njb2JjX/FPYv/uIvfvrTn74Jfc9eeuml3/7t337HO97xqU996iH8KaUvfvGLfCz71re+9VM/9VM3obv2ne9858d//Md/9Vd/9SF8Vhvb2nxOGhsbGxsbGxvb20P6/5aMjY2NjY2NjV2dzeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbGd/ciP/P8zGAEKkcQVqAAAAABJRU5ErkJggg==\" alt=\"Unconfined aquifer with recharge\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0)\r\n h = (h0+hL)/2;\r\n xd = x;\r\nend","test_suite":"%%\r\nL = 10; % Length (m) \r\nx = L/2; % Position where WTE is desired (m)\r\nh0 = 19.11; % Water table elevation at x = 0 (m)\r\nhL = 19.11; % Water table elevation at x = L (m)\r\nK = 5e-7; % Hydraulic conductivity (m/s)\r\ni0 = 6.9e-8; % Recharge rate (m/s)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = 19.2;\r\nxd_correct = 5;\r\nassert(abs(h-h_correct)\u003c1e-3)\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 1200; % Length (m) \r\nx = 0:300:1200; % Positions where WTE is desired (m)\r\nh0 = 25; % Water table elevation at x = 0 (m)\r\nhL = 23; % Water table elevation at x = L (m)\r\nK = 4; % Hydraulic conductivity (m/d)\r\ni0 = 2e-4; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [25.000 24.789 24.393 23.801 23.000];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 1200; % Length (m) \r\nx = 0:300:1200; % Positions where WTE is desired (m)\r\nh0 = 25; % Water table elevation at x = 0 (m)\r\nhL = 23; % Water table elevation at x = L (m)\r\nK = 4; % Hydraulic conductivity (m/d)\r\ni0 = 8e-4; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [25.000 25.593 25.475 24.637 23.000];\r\nxd_correct = 400;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 2500; % Length (m) \r\nx = [100 200 300 700 1200 1800 2400]; % Positions where WTE is desired (m)\r\nh0 = 35; % Water table elevation at x = 0 (m)\r\nhL = 33.5; % Water table elevation at x = L (m)\r\nK = 50; % Hydraulic conductivity (m/d)\r\ni0 = 1e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [35.010 35.014 35.012 34.949 34.74 34.296 33.633];\r\nxd_correct = 222.5;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 2500; % Length (m) \r\nx = [100 200 300 700 1200 1800 2400]; % Positions where WTE is desired (m)\r\nh0 = 35; % Water table elevation at x = 0 (m)\r\nhL = 33.5; % Water table elevation at x = L (m)\r\nK = 60; % Hydraulic conductivity (m/d)\r\ni0 = 1e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [34.998 34.992 34.981 34.889 34.665 34.235 33.621];\r\nxd_correct = 17;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 20; % Length (m) \r\nx = 0:4:20; % Positions where WTE is desired (m)\r\nh0 = 5; % Water table elevation at x = 0 (m)\r\nhL = 3.5; % Water table elevation at x = L (m)\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\ni0 = 1e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [5 4.752 4.482 4.188 3.864 3.5];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 20; % Length (m) \r\nx = 0:4:20; % Positions where WTE is desired (m)\r\nh0 = 5; % Water table elevation at x = 0 (m)\r\nhL = 3.5; % Water table elevation at x = L (m)\r\nK = 0.1; % Hydraulic conductivity (m/d)\r\ni0 = 5e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [5 5.065 4.97 4.706 4.243 3.5];\r\nxd_correct = 3.625;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 1000*rand; % Length (m) \r\nx = L/17; % Positions where WTE is desired (m)\r\nh0 = randi(100); % Water table elevation at x = 0 (m)\r\nhL = h0; % Water table elevation at x = L (m)\r\nK = 5; % Hydraulic conductivity (m/d)\r\ni0 = 5e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nassert(abs(xd-L/2)\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('unconfWithRecharge.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-23T13:56:40.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-23T01:49:39.000Z","updated_at":"2026-02-12T13:52:11.000Z","published_at":"2023-09-23T01:49:48.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the water table elevation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e above the bottom of the aquifer and the position of a groundwater divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xd\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e given the water table elevations \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and recharge rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"i0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If there is no groundwater divide, set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to the empty set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs in other \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eproblems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56205\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eseries\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)hw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}hw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ew\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = Q0 + i0 w x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = Q_0 + i_0 w x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the (unknown) flow at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Using Darcy’s law to replace \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e provides a differential equation that can be integrated using the water table elevations at the boundaries to determine \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and a constant of integration.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUnlike the flows in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59029,"title":"Compute the water table in a layered unconfined aquifer","description":"Write a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at and , and the length of the aquifer.\r\nBackground \r\nCody Problem 52070 dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \r\nFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE varies with , so does :\r\n\r\nThen using Darcy’s law as in Cody Problem 58966, one can write the flow through the aquifer as\r\n\r\nConservation of mass says that in steady one-dimensional flow, the flow past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions and to determine the flow and the constant of integration. \r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 836.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 418.15px; transform-origin: 407px 418.15px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.442px 8px; transform-origin: 367.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.3333px 8px; transform-origin: 44.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.775px 8px; transform-origin: 42.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 85px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42.5px; text-align: left; transform-origin: 384px 42.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 306.625px 8px; transform-origin: 306.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24.5\" height=\"20\" alt=\"Keff\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 330.125px 8px; transform-origin: 330.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 321.408px 8px; transform-origin: 321.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.95px 8px; transform-origin: 36.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e varies with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.2167px 8px; transform-origin: 13.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, so does \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24.5\" height=\"20\" alt=\"Keff\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVgAAABGCAYAAACJx4wfAAAPSUlEQVR4Xu2da+h32RTHn3nnBbm9MgnjUhQhuTTTCLmUSCj3y1PkVpImwgs9SQglqXFJmqRxC4kUCpFiUK5RLg2JVxjxnvWZfmustnPZ+5y99znn//ue2j3/5/8/Z1++a6/vXnvttfe+6pIeISAEhIAQaILAVU1yVaZCQAgIASFwSQSrTiAEhIAQaISACLYRsMpWCAgBISCCVR8QAkJACDRCQATbCFhlKwSEgBAQwaoPCAEhIAQaISCCbQTsQLb3sN+9xdJLLF3dr1iVJASEwFYIiGDbI+/E+lor6s6W/m3pLu2LVQlCQAhsjYAItq0Enm/ZP8fSbZZedSpKBNsWc+UuBHaDgAi2rSgeYNn//lTED+zfx8qCbQu4chcCe0JABNtPGiLYflirJCGwCwREsP3EIILth7VKEgK7QEAE208MIth+WKskIbALBESw/cSwlmDx5756pLofDb7efi1SSULgvBB4jTX3/gNN/oP97iNDUIhg+3WQtQT7VKvq1y39cKDKr7ff/ahfU1TSzhAgFJDB9907q9cRqoNe/SNTfzBkHp406j72/z9ZepwIdltx1yJYDYrbynFvpUOuX7OkQXaZZMDv05a+NGaFzmT7Xvv740Wwy8Cv+dU5EixuDTqwrOuaPel/eYHt9y29rADjR9u7hA7+vU2VuuSK1fnjim1wHD+4gGRXESwNea6lZ1q6VwLd5+z/P7Xk0xIviFhPf/5qP3zK0nsqgtFFgg0K6U2w7rNFdg9O2oOb4btBLviWnmjpeeE9NkTcbOnjBcpLmTdauqsl7wcfs5/HfMcNYO6a5db6QZ9Cjm+eaDWyfaQlprYuk6fZz9/oitS6wt5qnz/LEtNx56F7VuYUSPaXp3JKDIJVBOuwsCPpMwGjt9nPQ/6e+B4EzHseaL8O4uN/3ZtgHTE6zt8CfMiFbbupBRPf+439vcQqSqWDr8p3rr3Afv7s8cU32YIt9APFzj3XgoHveydyYuC8b2Vy6iHetH8+pEGhEDn9viTv6gSLVfrQAQEx9fiWJfbbjxFwA0wOk+VeCPYxhlg6QvsUCUt3jIBLgKbTven0QW1Lo6Qevd6NBNtDP5DXH08YD65eDzT8LyeCxXLFgj3i859TpVvOisCJWffUrCBiV4VgsUB8+ogC0qHi4+T6L/vlZUtHmn706mhbESxTxA+fGollep2laL06ud7bfv8uSzVWon9t+UDWuCIGV1d7gX4qB+x5XmypxYyqt36UWK+0Gwv2dycMjmr8xEGspYsDbJnh5R7IVIVgffRDRhQeR01XYJSpVQfurI9NituKYKeUv8XAGKdy7zMkcy2BJqCfMnXLZ8h6r1Fub/3AkME/nuvbZurL4MnzwEaDTA0cp/Jwt1NrF4cPRinPjdVtNcHG0S8KyMMbcPSjSFrImu5iWxHsmPL7NJ7ZxusqKl20mFtaGiUK3ZJge+uHW3Ilvm3ip9HToRlMCY5bvuv9uMesiLJ+YSnHlbKaYOPo5wKiU33ZEmY0vrZcP9CWAtq67C0IFgv1ltBwrBeCqombZEW5xcDoFvOYL3ILObQk2N764ZZciW8bi5e1kSH33hbyKC2zt4uDAenaE7/N1XU1wfroR0E4l2+1xHRj7UrzXMUv0t99UYJOzlOiHI6D7+Qq2WiQKv8bLLMvnDJ8pf3bYnU/XUyh3jdY4l8eiPeNjcoe6zMtCba3fvhAndsP4iAbrV76BpsTCHvau2UbZ0W4efCj++0gHrZVY3HW+4/P7nLcKasJ1kc/Vw4XyDNODd07EXqHXFPPpYdkQyqvsPR0S06u1MNjTIm6yCW5JQQblR9i887YyhcZlRkfFg9WMv5CnhcFHEqmuGtkx7ctCba3flDeryzlLh6mER3gwQyG52eWPJxuL/7yIVlHFwe881VL/7REDDC7qDy+l4GiJMRqrF85ZjkurlUEm04xY4V6KsgaBduSYNfUO/12CcFG5Y/5tQpziRYzCssmhzgQexuoS89woVYEu4V+0JYSP6T3f75hoGfn1yct4Wq4uyWPLtgzwXo/ps+w2YD6x2iXqOM1jAfvpzkLXasINo5+CCiOeLVGi5okdJHzKiXYSGZYzPjKPVwLnJa4KebwjX7mPyfk6t862fXsP60Idgv9KCVYbzsEym4udNgjO+KAuFeDKfZj3xmaRqZEOdRoh5eZM+isItg4MviCCAHOPt3NYfg5pdTf8xAoJdhU+ZlSRnnWXvBId4yNdXRX+BIrbA6hrWYpW+hHCcGmOyvvZkC+0JLHQUcXUu6AG/vVnFzG/l4Sixt3BboVnu5CjHXKmdbP1bsLwaYK4xWPjVnqm5xrIB3jUZbiOYusJLLZgWnNOZ5/WkqwHuwP1j4SR2uA3+dMp5gGv9MSq6oMrGOLVFGZx6b/sfxoHeSWMdZvtiDYFvoBhh+wNLUIWEKwkZyQ2/WW4kYLn3qXDHa9CTb247H+GmdOcRswdY1nceQuhJWEwi22YKPCpMG9MbYyx4yeI9T4dxZ9GGk5PowpLfl/3hJhYXS8K5bYJZS7ilpS9p7fLSHYMeWnfXHjwZxiQXzg/iFLP7HEwT9jiyIx3zFFiArvK7QlZSyVTwsXQU39QLYR26lpLro3ev5oAlAkpzTP6D+urcNL5ZR+F8Ozxgbt2NfjrMx55BOWKUYZETTwRs5GhS6LXFEZ0sbFsAlAyZ1ezAFPw3A7POL0IjtVIIGbLLESzf8pm1PFc3cIbWHdzLVzyd9LCHZqb3waGD+lzEwh6aAx0sH9dunsJQaCs5gydJiMu5eiIpSUsQQ3vmlBsDX1A7LjfAjvq1MyyQ3TinIemlpH/2vOTGYp9mu+izwzhomTIf3xSSccwROjIPZDPy2LSJo5F4XnmcNriy3YaKUOVai2P89jRdMQlJLRZEiYPQmWNlyzsEdx4tWtE9+WEGy0JodG/jjNY+p49Ui5YJeSZbQYvAPmBII7IbG4FSMLcstYCOvtn7Ug2Bb6kUOwLru5GM1ITkNrJUfY3TW3aYV+x5Gp6QFTYMSMKw2B9D44F0WDHIhWGNOL2BcXEWxq5QyNcEv8eVNK4h0iJXM6Ms/QCV5rlK7Fty+1TAkhWfLw3csrEeyc8qcbH+ZG9LRaEFbcqTVnDblFjZXBVDjnMKC0jCWY+je1CbaVfuQQrE/t51bLnZzGpsTuf3X3APrHmkeObNbIouTbGJ41tG3VXSC5vlUfnOb6O+USK5weajVU90UEG0e/qS2P0Tqc8+dROToHO4h47meJFc2nWGJBy53R5HOLpTtZQjGiz2/0crESqTV890GW9xMW5v9b++47E9/mWrA5yk8x6WJl7hmhnn+0jKdWo/1AGcrMJdehMhbCevtntQm2lX7kECztYQDlfNcpAvBBdmgGE/2vGE/4KN9haci1swb3Nd/GOg5ZnD6A5JIrdfFvplwirme50QiLCDYS59QUMl1RHAvb8oNhMLtxNiN0On30xbnFElc6Pf+9OuHXdKDSb3MJNpXJ2FQynYFEWUzVDXJBHu7v4t24oSH6rbwupQfKDJVRild8vzbB1tYPr2suwfpaxdigGMlpyFqLMw7kTj57Owkv1jESLG1jtsfxmqXnoOQMTJAwHJTjHkBuRQRLx75sKV77QiYoSLwUjPe4hiJuffROkr4bzxt1pXQLwAnZO0RqBbtllDuarFHCvX87R7D8nW258doX2oTP8yuWfFGQ955sidPwfeustz19dwgTOml6IDEWJ/kzC+FhlZtrY35u6YuWUl/YHNZDZcx9M/X3WgTbQj9ivXMJdu7A7UhOQwMsli9XAfkBMJBwi3Ny18iMb8H72Zbos3ADfYotskS2MDCU1Jm83m4pDVWLdXRcS87pKCLYtYAMfe9muVuhLlxCsNIdJelUAMuIh6iCEjBbtGPrPOcItkf96ExYOwyMrS7Na1EGxMWz95tXcwmWtrge5bp2evSPvZbhEQSXrYJTPmYWwdjtlnvOA+3dlGCjPxDyJL71Nkuc6BQb6iQcHff+bc8tla07yJobPbcmWBSaOOSWfroeZbSW8Zr8SwiWcnxmkLMYs6ZeR/+WxbArAa+h9qBf8FLpgLUpwborYGyLmzcUAPCpREvVV57nQir2LHx3pdS40XNLgvW4wpZ+uh5l7LmvULdSgvVvbrIfdCbzsHQZhOLt10NvLb1Rlrw2JVhf5BhaQPHgairpC1zRsezfji2c7V1ZvH61bvSMq5tp22veEZ/m7TuthnxXdN4a7oIeZRyhvywhWNqFHL4tkv0/EYMLM+b0ah10icglTuSCXAnJynEf0U+JuIgP6x5YvYNuhdbbTeNqpjvbaRwhIey5BgAnjpSEvbPNBVQfQXGmQmZy65+u+sfvWi0CeiA3mz84ezM+nMPJyUy590KNtbNHGbkYb/2ex3XOxbgO1ZMZX+li4tbtbVk+/lQW4W+2xMKYPyyUsRjrBgN6lWugxOiRWPfRENXWBEslPOSGFUs/aJoVTL862i3VtFNh1V4E/2vOLqeWHW1p3vEq77E81m6x7FHG0vb3/M7jwz3mm35/xdI3LbVaTOzZvt5lxTjlobLHzjWoXs8eBDtXaUKxHhZGFN53y/cixL/OhczM4aO/CwEhcFAE9kCwQ9vSICVi82Iw+0EhvnSEPd9HxVb1FgK7RmALgnXrFALlhlN2dnH4x42WrrXETbX4LDkNJ14LsWsgJyp39Bs9j4q76i0ENkdgC4L1VTsaz/F177eEP9Z9te6Uzj2OcHMQJyoQF/mOeqPnnvFV3YTArhHYgmB3DUjlysVzAdijz3O0Gz0rQ6LshMD5ICCCbStrD+vwjRZHvNGzLULKXQhcYAREsG2Fe/QbPduio9yFwAVHQATbTsAtbvRsV1vlLASEQHUERLDVIb0jwxY3erarrXIWAkKgOgIi2OqQ3pHh0W/0bIeMchYCZ4KACLaNoC/CjZ5tkFGuQuCMEBDBthF23At91Bs92yCjXIXAGSEggm0j7Itwo2cbZJSrEDgjBESwbYR99Bs926CiXIXAmSEggq0v8Itwo2d9VJSjEDhDBESw9YU+dzzhUW70rI+MchQCZ4aACPbMBK7mCgEh0A8BEWw/rFWSEBACZ4aACPbMBK7mCgEh0A8BEWw/rFWSEBACZ4aACPbMBK7mCgEh0A8BEWw/rFWSEBACZ4aACPbMBK7mCgEh0A8BEWw/rFWSEBACZ4aACPbMBK7mCgEh0A8BEWw/rFWSEBACZ4bAfwH+HWODLGqD3AAAAABJRU5ErkJggg==\" width=\"172\" height=\"35\" alt=\"Keff = (1/h)[(K2-K1) b2 + K1(h-b2)]\" style=\"width: 172px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.8917px 8px; transform-origin: 90.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen using Darcy’s law as in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.5083px 8px; transform-origin: 73.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, one can write the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.0167px 8px; transform-origin: 70.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e through the aquifer as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"183\" height=\"35\" alt=\"Q = -Keff(dh/dx)A = -Keff(dh/dx)hw\" style=\"width: 183px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 224.825px 8px; transform-origin: 224.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConservation of mass says that in steady one-dimensional flow, the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 152.058px 8px; transform-origin: 152.058px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"61\" height=\"20\" alt=\"h(0) = h0\" style=\"width: 61px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIEAAAAoCAYAAADZs5l2AAAF5ElEQVR4Xu1bO6gWRxi99oKglSkU1EIxEhujIIoGHxBIFUgiBEmVaCFikUAsRCwMxEJsfJHiFmJiCkECgShEMQTyaAQVLbTQwlQRQtLrObLHfC6zO/PN7uz/X+8uHK5eZ+fxfed7zrpgZnzmvQQWzHsJjAKYGUkwkmAkwciBmUFJsBgC/wz4qqDgvyw8f8GtT27qocIBCfAjcAD4s+BxP8Tch4B3gacF13mtpvaQYGV18odOCZAAvwJ7CxNA29qHPxwENr9GRKAMKf8iBtRGgl1YdAewFVgLLAROAF84SfAbxt9MfI8K3A58UFvjP/z9IvAzcClh/a8xZjlAzzAXHyqcofMtYB2wFPgd2FTiMDFPQAZ+C5AQfHYDVx0boTI+Bt5wvMOh54BPzTvedbnvOwBDQwppnNsbbDjl93m1Wo4BJm00RgJOQiHSMv8C3gRSYy0V8ag6xNmk3fw/SGvyNyQdSeB96FUoOHqE1D171yg9nmc4Uy3yNn4OHg50wCf4A92RVxm5XoDr3gNWVxs4jJ85FYVIeDzz/dIKTpk/1wBT5n45JuYJNmDkH9Xo/fjpseh/MZ5xnLHN8zAePjAvdLEACnEL4A1Hnv2WHEsZMhf7HiiW38RIwLqblsRnFZBaGXDD3wEfAd6YbF3gfbzfJcvXXF2IVFLJbXN3MUDXnmMk+AmzMSn0KkOJ3RK8643HNh/oagESZG5IcQmz58G5BujeRowEckfnMbPcOklxCmDMZun2DlBPWFgWbgRi84c2rByE/+YNQaH5nuGXXcnkFmwPL1gDXFPNx1B5ujLMvuTTqiQqmxvhI7dOC38PuFApiPEqVL+SPHcBb11rXSDXzfEkdfmTBDk1tj1/F53meiHum48MkKHtCPADwN6NEuccQ3vlPG0TqEaltbPMUqnCQzE3kMWGBJwreOsCGYJkAV2UQK+0DPAmh5MkgV2b5fEKgF1QdV0VMqUbb8hNJoFcOpV8BdgG7AG4oLVYGyo0eS4J5AKtBXQhAN/tEpq6rp37vjXA9zHJLMAqR4m5wnQvhtLkCVhj/12dgPGUG7CbsBYbqgBySSAXyKW9XcImgc9FEqhPQgOkF/sEUKc2ZoBu4jWRQCWeJqwrRBbb5I5ySGBdYC9urto8Bcqnj9DiFnDGC9YA+Xq9XWwNsBdDaSKB7d2H3L3cUVPCxXzhMeBJDG2fPCeRa5J3DiEzdNfbK9YAKYf6tXjMAPXdBq/t2enlQ29+GQj2bJpIoKSPFrkesE0i646aMt8cF5zTKmbGfK22v7o2SIIQkWNam1RiaPskoVArA4y18UMlZvDMIRLYtm2ovk5pYsiqU7uMdReY0uHjPm8BbRdEUmROv2FSJJABhhp0ni6i5onePoZIYNu2oZgjhsllc2P87sBe8mizqW1j6wJTbyvpbf4B2m4YRdhUMsa8Q+l/twYYUp7Oo5yJ+6Hc6/czdp5o3hAiQezmSu6IoYC5A+/tbeUgQZGJvwApFx/WBaaUPRofa8SQKHw8uUlpRbfNH7s6lgEqFPB8J4F6rNc8SQYVIkFbzLHuiJ6AD7tYoQ9NGBLohmP3+bryZfeRTygP4e85jt81sGmiblmbhcsackLBpIggJTcpT7rhv98GbgCha/Y6WVrPUydBLOZQsLRufe7URAApLfZRCYnCNrSU6hF+rILQ3HOlNOTZY1fHSrhJgmNA09W+5kkygM5954jWGAq+SfAGHuWnjFXSyG6b53O4lLmnfYw15KRcqDQJKDDFq5TcoC8Bez5u7WvNaZlHlVlKbvViz0OQgOtQKbMt7qtPAc71L427ykL9lqbeCHOrncY4ByOBPML1wkTQJ+tDep2uSuvzfdtvaSoNWdGxtH75XweG8gQ6KJXj/dzMI6TS83v2MomxtsQM5QPqM7zSjBuaBJMQzHxZkwZwFFClxQqCH//wWQSwCgv+J5aRBPOFIi3nHEkwkmDQxHAU95RKYPQEU6qYIbc1kmBIaU/pWiMJplQxQ25rJMGQ0p7StZ4D9bJnOFQgmqsAAAAASUVORK5CYII=\" width=\"64.5\" height=\"20\" alt=\"h(L) = hL\" style=\"width: 64.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0.991667px 8px; transform-origin: 0.991667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to determine the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.9583px 8px; transform-origin: 99.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the constant of integration. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 346.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 173.35px; text-align: left; transform-origin: 384px 173.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"559\" height=\"341\" style=\"vertical-align: baseline;width: 559px;height: 341px\" 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22Pi5Ga3bpBX1I3uitVG2lZbN8pbviDjIVc/dQN/yJ9oJ5lPN0f7sn0ajz+8u/99b918u3/37l2Xj0snZ1e4731vP5GGYRgGYZP+FX/ym3Y/8He+6rpeiuSb9B/79j++++AXPG/35JOP779nzebz2c++Z/dt//j/2X3e7/9zez2+FvN1X/P7rivWHc3LXnEiDGdFs4MYvvZrv3b3xje+cffa1772pOd4+B3pwIbZDRwbYg42x9kvjufGGV02iLSdDG7KsWPjqQxdHG3vuecpHyvQZXOKD31X0MkWjEm7FcONcsbIc2zZ4LLZ5kC2r7aQOp0fzm3pr6S/bOvcsSWWcsW+bNFPu3deunf/23Uu7R7c/+NbfstO/gNcjp++59fu/wHum+75/Ktt/kPc/XHyD3GzzX+Q2/3DXI5hGIY7Bf8h5ws/5HmXP4lOv2nOf2j6b3z6L989/3nPubpBBzbonH/Ov/ZL95t4eP0P/9R1xbqT8ToMZ8u8SW94wQtesHvHO96xe/7zn797+9tP9/bS76S76TwEG9ytN+Jb5Kb+EMRBPzfUYN/Wm/ek6rqR7ezY6Npv/GNIO9g6N37WnPE8Tx026R1b8zgmxhZd/tpu5dRBLqmv79quxloef3jf5Nd4YL7KMwzD7QC/eeX7fvCNu7/yNb/7pOd0+CbdN+TAs23/FY54m/7Sz3z17o1vftvuxS/6oN1Pftdr5vkX7Gs1X3c5c+ZNeoG352zQgfZ63qbnW2w2p2ysaDsZVm/EOXjrzaa4k/UlnX9l7EC/6QO6N++J/kBd+lZvpsGNIXbHvL0X7FI3/eOPja24Sc48cgOMvmO0q42qOuabLWMJ/RkzdTvMQ53Mz+u9Iu1oqz7xzcdzqX20xHxau3vw6u/Mr78734O3/PlWn/Zf3PeFT3u776/azF+5Wd/s//yzfsH+jT7taX9d2jAMQ4XfkX691GcQG283375Nt/3ol75w37JRnw36cDOYN+kB30X/0A/90KubdDjt23T/4Wi+bWYzuwUb5i20R6+TieVGn83wVswaK/0l9Kdf0Pf1kPlkLONYK/uuNxab2ZUdm1k33G543Shv2XTjbra7DXz6PW1b43Txj829I+uTcvqsczoEttrokxZqbjle2z0nb/X9zv7qu/pP7O7bPed9P3t5pcwH5TA8k+EN7l/6m//7mb5JXz1XPvO3vnL33a/fzZv0FfOd9DOnf/X3DIXvoucGHc7ibTqbUjadbEY7mU1ObmIr6LmxrTK4keb8UMwaxzFz4ECG9Ju+2VBV/SpX9MEB+oCsFWSs07JlxyZU3NzW2Ak5+ra8Ql/6E/26adU++7daamJtVvHxlZv7LdIXoG8f2KbPFekr27TRP23NG+zrWg6+r8/bfL+zn9/T5/C7+m99zuc+/U1+vMGnrW/vPebt/TDcOfCWmzfp/CGi66F7k15Bh+NND794f/7iX/hBrR684c1v3f8BJDb+P/f2d5303vnMd9LPh3mTHvhd9Mpp3qbzJp2/Ovrk7vJmo+DmlU1oJ7OJdmO8JbMpcnNzDPg/Jk7FDXWHvlZs5Y9ca7ACnbQR+7dqcYzOeeIG9lBsN7Wdrj4cr3pp27Vs8rfYil3Zmk+OHTvvDvM5lLcQS11siWmb0Ac5bl/+th3a+5/8uSv9J+Tb+w943/930jsMw0XhrL6T/ps+91fs/ue/+KWXPzmevgF/y889uvsFn/qf7uVX/M5P3/2FP/7vPk2PPPxDSPzBo3f8wH+1u/vuKz8E+JWZO5X5Tvr58Ow/epkT+RkNv27x/vvv333mZ37m/vju7/7u3ate9ardr//1v373MR/zMbsP/uAP3r3whVe+j7bFIz//+O7x9z1rv0FkS2kLtCv5rsv/u/vup/6K2Zb8xPuuWLLJeOyxx3b3XO7D/tLlDQuyfuVQHDa/jNUj/XOecH7v5fF3Xx5/1t13XyMfMxdjYNfNQRn9tDEn+61FcowOcG1qvG6u18uzL9fiyY3YjqCz0n3OA/des4muetre/ey7du997+O7++69XKu7nn2131rgp2vR1Scb3pUerX47GCdPfKXcsZWTc+3iYFf7q61zqdBnvy12+zld3nxfuuv5u7vveWD38+9/aPfzz37R1eOJ+z9i947dS3bvuf+X7N59z8t2P3vXx+7e9cDH7x6591fsHrnrI3eP3P1Ldpee9UG7t93zCbsnnvWBu8d3H3DZ1wftjyfvum/3/rvuvSw/tLvn/Y/FFR+G4Sz58Tf93O4n/uXP7TfZp4U35H/sz/6dvfyjP/kzl///fbvP/JSP2p8LG9A//XXfvvvu7/sX+/P/7A9+3u6XvuxD97J8xX/+Tbs/8mf+zu6rv+zX757/4HN2P/Rj/2r35b/3s3cP3H/5c+gO36DD+97//t2zPuiTT86Gs2LepC+4667LH6nXURq/k355y3f1bTqbn3yTnG8Z69ve1RvJlBPsK7557uSVv5qH6L/zWd+GpwzH5A/dHJJ8gw41DtC3yitJvRXpB6oN8mouh9AX9rn5TlLnemJY65V/Nrv2IR+jV32u2mP8bq0F6eLVt+uHctryDzm/Y8h45KJ9bYVzqDrgX8Hlzf3+PN7e8+b+Sntp/xt0YL77Ogw9fif9u7//X+y+/r/+9056T4dv0uVVr/h1u6/8/Z+z/3WMbLDzDflHv+yFux/+tj9+zT1JDh/yyf/R7q98ze/Z/Vuf+4m7z//9/83+d7c/k96k75nvpJ85s0lfcKOb9NzgVdxE5savbixXcgcf/G4cunhJ9adt5lFZ+VzlA6v8kZ132uccUu6oOWcdQb+n1evqV22SHOvknF/OW3K8Qk654avk3KqfQ7bHkDXxvPOZesp1w9xdx5VutsZL3cyh83HaebPxXq2zYzjWvm7whTms6przR6Y99A9rP+B9b95detaVv5Q8X80Znil8w7f+0923/ZMfPvXXXdhc86sV/YujbM5f+7pv28vAXxV940+/bffwo1d+Oxp8zzf/J7tf9fEvOTk7+ZrH5Q04b+T5fer4+y2v/PO7b/mHP7j72e//L69u9O909nWYr7ucObNJX3Ajm3S+k85fHWXz5Oas20jk5vVGqb7cFBAr5Y5VHpn7yo86uUFdxTKOaGfczKPKK13gH74emltS5wldPObBD1z2VzrfSdYFtvKEjFv1ujHjr2zOC+JmPVYbTWCsbqS7jWqnk7qHdLr2UD3Mu/N9TC21P4aMcaxNR+a88sMYpN59u0f3fVu/NUfmt+YMtxtn9Z307/wbX7H/R6i/+ZWv2/+axYTf6PI93/Sf7D7sQ55/zR87qrBZ/Tf/wF/Yfe/rf3L/10s/5AXPPRm5s5lN+vkwm/QFN/omHXKTVjd5udHxAzw3odkH6Uu52ziCmzfGU95iK94hP9g6Z6g6+nYTxKZLf7DKreYEqeu4Gz58drWpeum308t5J51d+k750PxqrNU1XeXkXKlp/pebY6jzwFe2Z4Vxus0vY90mc9UP1V9ez84m316vWnxUPXwdY2trHseC79PYrOZ9WqxTV686lu3WP6zNzf1973v48vlTbxyH4WbBJv0Hf/Snd3/xj3/hSc9x+Cb9+17/45efp4/vfvWvfPn+HP7mt37f1T9cxBv1X/KyX7jfnEu3Sccf/LZ//7+/+iZ9NunDjTCb9AVnsUmXugHiQ7puziQ3a7nR60hbN2z1w7fDDd4qh2S1aUsfOa9VDs7fOVW/q5wOvX2G6htqbjWu550eMd0U1dhp53j6rnG2UDfp7FY+6d+Kw3hX08zTeTDfHLPNeULXdwxu+nLze72bTUh/6Yf+1bXLsdRZ9SedziEfx+obi74aF7JmqX9aaq1Oyyq/7FemPea35sh8NWe4EV79td+yu+/eu3d/9Mt+w0nP8bhRBzfh3blfZTn0X5nwl2/Snylfd9kz30k/c54hK+fmwiaGjR6tuJlik+OmiT4+dJXBMaBPP1WG1EXOD0o+kInFUWWotvjMw1jH+qA/c6iYs76PzambUyV9K6cvyDHY0iMmm5luLmnnePpOeStnQC+vqXYV9aqvro4pQ60pMG4s+vihktY+/YLzrD5rbTJ+h/raullc1ehQ7fTn/aM+/W5o7bPt0MbrbZt2tHWjna3j1Ufq2d/FzBiSsdMv0N+B7hbkcSOQQ0f2K9Pye+4fedZLr7b5++45+F33/N572h+779/d/6572/md98NpeN5zLz9X3vvEydnpYAPNBtxNOLARr+foHbNBx+b+++6++j32Z8oG3f+KMJwt8yZ9wfW+SX/bo+/dvePRa/+oApswNifKfmgfixsVNlEpAx/Ynb/V5kawX9nKMT62wD7nnvrpm02hOWzlpE2t56Ha1jxWeiuOse90lKEbsx7O65h6QtrbtwKdrKlybh47Mqcao+ZZx8nvtPWFarfqP0vY2Fa/XZ90Y1lfxq1t17LR3tLBR71G2Vb7VS6dbbar+VVqrv6gcLPo6g2133O+e9+9vX/iWQ9cPn/qTf587/7OgjfpbNT5h5+3mvomfb7uMtwI8yb9jHnXY09cfvhf2m9kPPiAEzZXWx+QfNjwQZsbH/1UGZ2VP3TyLW3KHGmLXGPCIR+Za/pQBmIA+kn6M3/stuqjD31ClXkrvJUH1BinmQekfadDnl7zQzmDtehySDpf2h57nZGpkW9noYunPbWpvtGrNupAxlvNyRaqnaz6j6W7l4B+wS86whibUWXGsnUscQPruLWtrWui9nkOxMm+2hrDmBX7D7VJN8+cb+Z6syFuR+33fPX2/m3P/rirb+1p+Wu1vLXn8I19fVM/3F488q5b/+8hfJucb9KH4UaYTfoZ89wH7mZrc3J2BT5A2MSwyXHjsQJdNiXAB2VucPjQTPC15U9f2Kcs5IRPfKxi+lWIzkfmCp2cOeoz7dkAeN7NJ204so4p57HKY3UNjp3Hyj51HMOnsv0132SVQ70enb226KQMqauctrKK5/WHrTq5gdO/8auOsalFxunqCvoT9dM25bxHzBffOcbGM/Vy84kNazLlbLuNah2veQjjlcxFP/bpJ9tVLFts6a96tf80NmBswU7SV6XrO08Oxcs5iJt6N/T5FZz9129OvnKTX7thE//E7qm1Pdx6eJN+q/GrLe+59MTuoQefWevjGfO9+5vMfN1lwY3+w1E2IWwQcsPiZoNzxyF1RZtEX51tyumnwocYH77aHBNzC/35wV/lLk+ofo29mltiHY6ZJ7mA/o+1Oa19zlcdbLp5Z3/1l3GNmRyyX5H5QWe/ilfpaoM/c0Z2k7dVy2QrTs15i2PrcRrI92b5Zc5uJFMWa5Kb6G7jyaY5r4Fk/6E27aDm0/mqNlUn55Z2jtH/1re9Y/fBH/T8dl4d1VfN4WbwvPf95P4rNs998o27u9/32NV/FDtfq7k58LvNeZP+mv/oN5303Fx4g84fM1q9Pf83Pv2X7/7+1/37J2d3JvN1l/NhNukLbuQ76Q8/+q7LH71X3qZ3H+7dJgVyE+JGhw8qP+iQV7ZJ9VNl3ixufQBmPCBm5tORGw7lzLWLqd9jNl41p470l/G7awBV3z64Hnv1c045b8ZTD1JXudaqux5S7bvrVvNLVvaH6q2v6tfzbKHqG4tNlfl1pG9BN/M7Zm0cQ+Z1jK9j9U/r9zQ4927DC7mxrpvsLbpNNK0b4M5XZ3NsvDqPtEu/h/wdq5v5d3M5a/yuPNz9/ndds5Gf32xz4/CddLhVm3Q49I+Y7/Qf1maTfj7Mf584Y/hO+pO7e/cbCTckHHwI0YJjbMb48EYGN0uA7AdHyp3tIT+CjE5+IPEBlbnRGs8xyBw6jA3KmdfWd8UZX81HX3zodj46f4n2Oc9D+tqkfMiePnXt45yaqc+8aNNvxkfWRrClP/u27DOefYJNrS11lYxTfdEm+nJeuf5qC6kP+qdlDP9dLO0yZ8Yzvy7XlQyrcdBXcox+vY9gdf+kr2PpdPHPphm/bko9F2RiocvmtcM8s3WjW1tJv1s2ne+uRd/8Ice6eUHny9hVFxiXHO90jyH9HcLvyHPw/fhjvlbjd+PnazWH4dcvctxK2IS7Ec82+4fhtMyb9AU3+ttd2EyAH0BsMIHNBh/YjvvhW/WP+eBI2y0/h3xqS25Vr/oF+pwHpJx6kPZ8qOHbPqh+gb4uLqRth/rOmQ9t693Z1vh1XlmPlX3G6uqcc0lZTnvNuxxr7C6O1LGt+OpCjZt1ZSOdse1PPcfAcfvBMdiyW5H2K6wXuXb6NZ+cc5LzFf3V2sCx8+w4tL5gdQ2J1V2bY/GehWPy2CI30VstG/LUXcWp+VQfUGPavyLnm/JFIP9qbL6N549IPXv33stX9pm7EbyR35M+nCHze9LPnNmkLzir76SDH4r54dx9UNYPdM7TzzEf6JB+qs8VKz0/5GoOHYdinBXmlB/m9cOXfn8wMq/O7tC8VvUwnnWDY+aPPnrZQmd7vTnqG9JHFyN1YaVvnkn1p60bosy1iy01h4y1ZbfK1f66PvSrbqdnzrXWnU1Hl3v6zjxrTTNmF7/W6XpY5ZKgUzen2aePboN8SMe65XgXq7Pt2rQ9jZ1tjQ25+a/XmRidTZI6x+ifJfVrNf7ayTv9r8FepF/B+Exlvu5yPswmfcF5fidd+NCtH8z5wVE/xGX1YV7tVxyKW+nyYF7d27vO9zG5Xm9Obl6UD4Guetolq3klx8ZDL+eRH/7M89h8K9Uu50SMrt5wbH2NeegarNCeN7h1M2RNah7WJPsybmdX51bjAHVJuYPx1IPuTXmSNjWvrmb6Xulm7MQYq9yvh8yl5npo7R+is6+b1rr5zfviLNoud+Oe1r7adT+cpc711i1rdN74j1wfevxHrvn98bfzd+O/8A/95d2/9Tm/YvcFv+FXnvQMN5vZpJ8Ps0lfcCNv0rc+JFabDOk+jLXlA2L1YS6rjcP1xE0yBzAP7WrMCnr48O02dLkmdXwrx6zvll7l0LyOJeNDzsl5JNmXut1ca46ruWYM+tGj3l18SNvKVh1W8bfA3+o6d+i3s2Osm9tWLsfkrE6uhe56VMxFbkQ3c8icYbVOnP9qPHFObCitnzC2lfshyPfYjWbqHmtnPQ5thrtNv9cU0s9ZtOmb2Hleud55H6N3FviVGn5LDTzviX+xby/6W/jf95/+1d2n/IoX717xOz/9pGe42cwm/XyYfzh6xvB70v3QpOWhTctD1g9Q4AHPByIHH5q8uasfmNUWubOp9rQZq5M7O8nYynygmwNgU+1WvtVjHl3MQzk5XnPq8jukl7Iffnyo0geZr3S2Va7XN+dkmwc4185Ov5DXP8/BeUD1j56y/cdec/U6anzzgvRT0abmcSi3tHOsm1tS8+hyXul4Dls2ym52u5qlPhBjNU/IHDJn6GR8y2o8cyUu6x3fGZ/xLp9DOC/A57GgSz7eg8pboGfu6nd2PFvV5dpwnvrp59g2N+b2S+ZBf57XFh+C3OlUiHez4B+4cvCPWzl+8r5/e3/kP2x9290f99Q/ar28MbsIvOfS47uHHnz63zAYbh7ze9LPh3mTvuAsv5MOfgD6oPYh74ec45ynLf3a0Md52lT7JGOt4kLGq3lL+tdW3Rp7ldNWrrA1nvl2aHNIL+niZK1hVY+KvmqdZesaQtrlHLocpfrgfHVNhDh1fR665iu/mSdUP+iiU3OpeUPXl9T6JTkGXR5Sc5ZVXFjZCLY1f85X9VCG1FvlkGvj0DpZjUvGWNUtdeo8quzmta73Q+B3NV8xv9wg27pxRWe1ic1aiPpbvrs2fbCZ7vTMYzW+0j8tW3O+VfAVGrj/yZ+7+o9Zb+bb93mTfuuZN+nnw/zoc8bwJh14CPMh5CE8XPMDtI6DH4L2Y2MfHwD5Fq6zF+2IlTJox6FvyNh8CGcsbDN+5sRYHRf7oevnQwcYW407ljnV/OCQXmeTZK1hVY+U01ets2xdQ0g7fTpuHWi7miQZI/VpgTjYqAfK9K/q0/mtuumHA10wh9V1hq4vc6/1Mwfk/K8oUPMAdbeunzrmKeqsrn/qJF0eW3p1XrSQa2NrncBqvOpB1hS6PKDTAWRrry5tN48q11w6yI9nJa2bWs8l5Yr6eT3pIw/a9Lm1kabFRj913JzU8XzVao+uNofaBB9Sx5IcW8my5ecY/PWS/mrJrbfv58G8SR/uVG7szhyW8BCuH04JH1Ld+OoD1T4e8HwwapP21RekL2UeyDUmGw42HuowxocvHwj6BftAXXKSHK92QF/nz77VONCf+sp1Piu9lIW+tIVj6pHyyr7rh5qDVDt9AzayZZ8xJGUx1mqOieMcq2udOtLpOqec30rWDujTd85HOeN7gGsDMgdlWOmYD6SN8uo+hMwj1+dKD/ApKUPqpVzXPuS4dHrgGrAFY+uHI9dKXTf24R9W80i55rLKT7xW10O1dV1mP32c27qhBs+BHHPcvGnF81VbfxCobfq3fwU6SeaRYytZtvzcCP5+eL46w+adw98L7++EdwN/I78P/v777tk9/Oi6TsNwuzKb9HPgrsuPpu7DiYc0H0IcyLIa7x6UPEz5UFx9+B3jCx9Vzz5t/OAW9YldwVb9Op52HpD9xAP7oIuX9inX+WQeK5skbc0l6wGdn5p3Zw/2c9S6VtIOlIm3qjF+uxhbNrA1R0nfgE3nUz3XGbJfq6m63fzg0Lzx2c1L3zUHyHqqlzZQdZyrfRkX0r7LGX18mM/qTX/q5Xy26pt+aTP3Or6qQ0K/G0LGa03F8YyJLOm/zqG7Vuqu5tE9+8T5Zfzs68YTYlXs68aEMWpV65ob6nrebbxrm3q0+LcG9kP2r9qtDf1pIC/Bb8eq/1jyjzut3r5zsHk/tIGfN+m3nvlO+vkwVT0H8i+Odh9MkB9oq3EelKsPHGz44OMDsMrQ+Uo6PX1A2qT/7kOQ1g+cBDttU99+Dh703RxW8VJOsIFurn6IdfbmAVkLMI8aT3+ZL3T2HH7IQuZXcxHj6psDnW5usIqBTXddEv1DVyfIeVWf2kDmZz41Z+N117rKHM6bja5xj81B9Jnzok2Mhy90taHtfII2mTOgL8jq1WO1LlI2X6h+gXF8QR2vORt3BWM1btYp7Ttf9mFj/Crj03rBah5dHsqQdlv1OQ9qXaX2c751/7luGWct5Ea9trA1ni0+9X09beXY+Z4V+fa9/uNV377zF1k5/FP88yb91nNR/hHxncZs0s+B7mHnB1jdAKhbx/3AAj9w0OVDSXhIMkZfylu+wA82xxzXB1SbHAM+DNSpumCMzA1qbRjjg0y9lFfx0he6xurmCtVXZ7+qVc09c7OlDzsPMCf16TdG0uWCzKaUOUv6lkMxqj6kTcqQcwXljF19pk2OmU/2ZTzttmTQR/pJGVY5SI5DrqXMCdB1Y2VbfXY25owuR11P2tS13627Gi/nlvrK+K196SPz3ZIrxq36OYfqAznj02Yu+GTeXgOObh7J6tppt6qPepljsuoHx+pz/EaoPl1jKWfLXN14Q54f0l/117b6oZ/8zLO2K3JsS+9G8e07333n+Bf3feHuTc/93bu3/PzzdrsP+fSrm3e+PuMGfhhuZ87vbnoG4wcR+IDjAc3hmK0PSMhxyQ8bP4ySHE9ZX933ZqHGEez9wEQ/oZ8PQXQ6v10MoM+8tuKKsrkQUxv60pek38xH0pc++JCSVV7QxbNPv1vzB/prDPOA1EWmP3XrOjomhnpbNimD87FO3dxok5yHpK4yGI++tFvJ0M2dVpDJV7nLMedEfdSDWgOo9pxv2WTO6DFOHHMH+wQ97v/VvQT65Ui/yvlfGCBj6Avol5XcxYWqn3NAZ3Uf5XWD9Jk5YlPnIdp4/XLcWOroK33X+dPX9Ut3vdSnPUSnu7UGtkDPjTTkBluf2a7GObe2tis/9hu32tWYGUPQE8ZuFu953/27h5/zqfvN+1uf87lXN/C8eecrNG7eb+S778Nws5lN+jnAh4kPaR5YfhD4AQUpix824gOfB51jjueHQepJ6ucHUZdL+oLMuevnfOUXMga1cKNHm3EhYyvnPIjJB4Q5qKMv/Ve/h/L3fGVvHFqOlR5kvYAPOPQ8IGVI/6B/20qNkTVexYCVTc6n2mSdVnODnEOV0TkUG/281it/q7k7DplXN55zksypzklZzHnLxrnkWOZun+S5OqBs/vr3eoExtnxCxs5r3l3/Lm5nU2GOqSc596xPYvy068BXPge0sTb47vzk/HO89ku9XsbratPJUOesT+pDnWodtLMV7LGV3EBvbaRri5652FY/XZv6tqeJQcuY0Hde/NRPv2X3wl/wC6/Gy5Y377t7Htpv3v3uO5t3N/B+fWbevt8Y853082Gqeg74kBY/CHhI8ZCG+nDvZMDX1ttwQeaBlH7EDwdyUN7yBX5wreai3PlOHR7eviU7zTwq+E5959rpZ/yt/LG/nrzUoRV8On/1/KBKv9qgT21E/37odWSMnIdkPFCn2jBuvJqXqAtpnzZQawTa0W7FrjlA5w+qL8h41sw4kPaQY7T6I36Xg7qZc/qw3uB4h7Gss7FoHVcna9Wtj8qhNeZBnz5SltTt4mKzWptbY/iDjId+5glb80j0d0ztnU/WPvs56j0DaZPXBIglKzl1zYs+5KyT88xYtOJ1MMe0t3Vsq60b8M7PoXFaODaGbYIfwUZSvl7w8cQTT5ycPZ2MDZxz+PUZ3sCzgfftO2/e8+07x7DNfCf9fJg/ZrTgev+Y0dsefe/u//u5R68+tHnAI/vgzg+K7kOooh0PIR4q9cOEh6QPVsjxjE1/zQH4YKgPMMaxTb+w1Q85J2NVMrZ08+g45BvMMetf65N1sa9jlVfqV1/A+JbvzgbSTuhb5ct5HXeMvjpvSBvH0wY/Ka9iCueHrl211aecxl/66mC8zh3sr/PrSN8rf9Llc5pY1Xf1d5r7Iqnxt3xkvqeNm3EO1UB/mW/GPWYemaP6GRcydtXNPCTH0gYyJ/uzNp2cm90tMn9kW/sqfgasOGZ8tZnOnOs8Op1j2fLlxv96qHP9LZ//a3Zf/Sf/9O5XfOInn/TcOBlDmfb+Sz++77v/Fv3hpovK/DGj82E26QtuZJP+jkcfPzl7iu6hKz48eWilfIitBzrgi7fEdTxj4KP7IATt1K/9Z0WdR+a0yr3LN+UEH3Wekv5r7Q/V13FY6UCtN6h/mvl0uXbzWeVdbXI855JUH5Uai3PzXsXP+lad9LflC7Zq1+VT6XzKVq2SrRySzj7n2mF96hy6mmRt9Zuou/IlxpOVbmcH1X+S+ULGcezQPCD9HKp/6uqv5gFdLh3po5OhxuzqdijG1vhpyZoeg/qrDfmhTXxtV5t64nRj2b+SE/rZpH/Fq/7k7td8+mccjHsekMPu8Yf38kOP/8h+8w7Ped/PXr6aT+7lO53ZpJ8P83WXc4AHsf+ZlLY+tHnI0SqzkebBzTkPFuUObXgo4LfzvX9gXAZf3cM+YzDOA009P0zSTn3o4tHW2FDHsy/18Jl+wXjVv7WSTsZXV/tuXP9Qa9/llfk7ro5jtCnXeidZW+jkjCHa5Tqj7daFrK4jaJN1U8e5dNe21hiMUWuR6xzMV+g3vqx80a5qt8qnzg/0l3nAqlYZH2oO3kvHxFIvSf851s2zy0M7jhpfOl/apMzR6UJnZy451uXgHO3PsUPzSF3YWgPq1njJKhf767pInU72POny89pxgC0wX8fUOy3akj81YoNe77UV6tPqI1s3wOpwnhvj2l/tbVf+6Ze0z/4KY3ffffe+3cr9etpjIB6/OpLD777n12fqd9/vxK/PzHfSz4ep6jnAgzgfFuBDEw59qCj7oMC22m99j9qYW2Q89e2zP+FDrH54QJ0Lvuo4/rA/lD8tZA7Vv2N5mJvn+DEXSf0cT/+gDlxv/QVZX7TWIGsBmb+yLeifNkGfObjOuvVWbfRLf9WhtS7g/MF+bbIvISfn3NXCI2OtfG75EsZr/XJO+uDImN3cKl2tIOND5qCfY2Lpc+WfPjD/nCd0eTiW8ZPOlza53iX1lG3BvLVJnzUHdcH+ag+ZU/rodCFzS9ta92Oemat+6WqUfdo7bj6ZH+DbfvRtgc2toAfVd40jq7UGyI4bT/vqR+rGmxaw1Rf93YbcjfuqRY82/QK2suqvPPe5H/i076RnrJxD9te207tR8JW/OtINfP3u++3+j1fnO+nnw3zdZcGNfN3l4UffdflGu+/qAxnyIUh/PqAEHR7k2d89PPW7NZbo1wf+llxzSlbx6lxSr6sBfch8UGCT+qt8uhjq6g+25l/tq271aV/FMT40av6Mddc2qfpSc0o9awX0d3mubLfmlH471MU27SDjAeO1zqvrVvukziF1t+qqj8yzxqmkzYrM7VCtAP3OXxcrfSfoOFc2Cd21qzHoP2a+6GzdM/Z116jTg7yPt2qUNhlfzE25xk+qLnIXWztzr35gNa/sT9QxbjcXyHGouSRpX+2kiwGniZOoh71rLWvOGsxN8o2SG/e8TrnWr6fFF193edUf+VPXfN3lGLtK5rI1924ufh6cFfftHt3d/7637r/7Dhf9++/zdZfzYd6knwO5Qc8Hpgd9PFTz5ubhANkP6PPhw4NUe7HfFvCNL1plwK9sycROH0mXCzpdzh5J9tFqk/1dPlUG9HlAAjnow1rS5zygzo15rPQSfK7qX/PnwFfNtZL6SZ7jJ/Uyd8g86QfnA9rB1pzMU9/ai7qMZR226pc+PT+0xj2g001fxqOVtLfd0gfnQ/9KB1/H1gqMXdFP2tGX/j1n3A3CP/mub9/9ps//1btXf+Ur9v3oQebA8a1/+5t2X/S7fsvui37P79i989FHnjaODNREcv5CfOiukaBvrhzqpQx5L4L61iHnDZlbvXaHdGtsMaYg13onOU5s4zsH0M7nD6SdPjNHUKf6A31yOJ+t+l1vnEQ97PmvDL5BFua3ZX8szgPfNQa4KT5tqy/88yYdOGc8Y9lW+47UAXOvbfqVlM+Eex66+vY9f30kf3mVgzfw+TUa38TP74G/s5g36QvO6k06N7QPUR6sPkAq+SDuOHZ8hbkYfyVD+iLnzB+ZB/vqgYRtnWfXl9Txms8W1jfrkvnXXB1DnwcuY6l/PfWv+SeO1RpuyYdygKqTY9XvVi2xw9eWPXLVqeeyyh3UTx36unhS/dWY1bbOdaWv324Oh/JJm5VuJ6dt9oH96tj/lV/6+3Z/929/815+41t+ft/WNcsG/Ssu68Ev/eUft/vG//Uf7evAxquiX6n5KHd1rLbHkP63ro2+u3s/9WBLF9A/Zj6Ar9TXd40J1WfqS/pdoc6hHCF1c/x64nS63fOzA19dDtit2sRnLXjdcsPczb1DP+kP8k36MX4AHzWHbNmEr/QOxaj53Sp8Gw/1jfyzd++9fKXO+B+1vuwVJ8JwVsyb9HPADToPKx/CgNzduOjxAFTmIUab4G/1doRzxvNAF5+eo2P8lSzaQM2ffnV5EJkPBzKk71Xflo0ydPq0jpmTfcC589eP5Nwcs48j55R04xyZ/7HfU5dOJobUXMyh5pFjUP3WGiTabNmLOurlGlPOuZubdDqQc+cDUNk44HwzJqzmqv8tfaD/kE/6PSDlqisrubMDfTLPrNGDz3veicaV9er8zPnNb37T7lVf+cp9332XNxV/4S99/d43evjLuSHX62Jc6w7ai/raclQ/K/AN1ScYWx38HdLb0jUvYExWPq0HpD44fmhdVOizv96jsvJXc4TUzfHriWN91KN1Hsh1HOwDc7DP+q3aBDv6yNXNb33TLc6HtqJe1c836ceAjRvxzMGW+8EccsMujq1abDpSR1byWcA/ZM3vw+cbef5Ra30j/7a7P+6638jPd9LPh9mknwN3Xb41eJDx8OMh78OeNsmHnQ9SUGYMHfXYBHZjPozV40bnQYMufYCOeisZ9KHdVv7GEB5s+tPe8a4PctxWWTp9ciQfdckP/+ZvrYxpf+qk7MMx59Tp1zkrm/dqzPptyRxJzSUf4Ksx/aTfJOfSyVt5oZOQAx9e9Ne6uBaSQ7UDdDKe+WlrS592q7mil+tA/ap3jM/MRbmr1UrWD3iefZI1YvznfvZn9jLU63/p0qXdb/+Nn325vbIh4g36i170kXtZcm7pm/yrv1UdPdcW0k/WpJP1m6iTOXQ16fSg04Ws3Wo+Umtd9bJ2jlef5kebMtR6p44+uhzTD8dW/WiPiaP/1Eu6cXxAPtcFPeN2bf7QB/hyDNjE1msq6LhZJo+VnqD3Yz/6Q7sX/aKPfJqudaj9xqDf8dTLHNywA32+TT/UdqSOMYkhKUvmnvJZkRv5tz37467ZyB/6as2lZ73g8qqYv9J6nszXXRbc6O9J54HmQy4fbkA/D14eWlDHQdtEvRyjjxuXm776q/3GPDRe6fITffDwAufmg8gHIXLXl/IqT0j9WtetWlXfK+oct3xC5lOpY5nvSgbOu7lXvWQ1Rg5sUPOarq5vUvPKnAC5m7Ns1UVSRznnXGNCnR86Nddj6OJVVj6tqdT4KznJ+OA8qx6g++r/+Mt2X//X/vL+/F/81Luu6uH/lV/0Bbtv/7Zv3Z//sT/1X+9+5+/6osu9ly5rXPuP1itdbvTV8y438+fa6ecYMu96bfN8Ja/slTNHMLfOrurCaddFvY6V9KFdwnjNMcF/XWuQ80jSX9L5Tr1jxjNmp39a8HeMH/M4pEutPvljX7r7xr/9HbsPf9FH7PsyZ7ievHOtdzjO51purrO/tiu9bnMOWzkwtmW3GjtLiHOVxx/efeSLPvzkZDgrzv7HsuHy4+GpN+kr8uGBbv1pn34OHjT1TYtj9nEzdg+j7AdlYhFzNZ7+OXxYdugjdThP38g8ZPKtZtqt8jBPSH3zSqyTraRvbLKeXW3FGCudzAdovYZ1TF9bstS5c9Q5gfFW+ZMD/fqDY+tAqwx8iHjuvIxf5VVdUq9bB6AeGDNzcQzImVrnuBjnmg+QE7p4Vb/zCdhu1WolJxkfsrbmYU58OD/6yCP7MXANMPa1r/2qqxv03/cH/oPd7/n9f2AvP7m7d+nPOXa5dbl21yWvr35Wa6nWSvRrf9ajk1f2oFznuRW36tKedl2kPn05V3W0X9UjdSvdWpMu7lYcyLnQ71HHoI5Dt07VB/o61KVVJrdK57PmsIJaSc4h63SILn+vMT5rbpwDn2vcp6njxrtr1QP8Y0+rbW217dCfpJw1uVHSb4U45LHnnoeutMOZsq7+cN3kmyxabzofBPRx+HAFHgYseB9WtByr/vQH+qwYhwe34z68oI5zdPmu4oJ2nZw4luMpb+UJ6tQ6gHXyoZcYB/2sJzIbxuqPFlK/I/OB1DWm1JrCal0AviT9miN0/ekfzDGvLzraptyBfs5JX2CO9OcHCeeQeQoy4x5gm/4yH+uU196cc97K0I1LjQdb/rSlzfV16JpWe8nrkTEhc6KmD9x398nZbr9W0f2H3/Z3dv/dn//T+75P+dRfs/vDX/Wa/ZjzWvlDXq33lAFfXZ0gx9DP2nVyoq32ylmTKnd5pQ5Hrr+tuJDzSXk1Xn2JPutcOc/6Zz2OrT/t1rMs4+IzdQ/lIq5VyLHuucRY5yv7lGmrrtQcOp+QvqTmZUu/pL11qnbQzbHDudf7Ps9Ze6lTW8Zzo05LbHPQ3xboVfQn5nMaiH2Izm/amccTjz89x+HGmU36OXDXyZt0YZH7oMoHQ/bzMLCfRe8DJrEfqj+OTgbjcK7f9J3jeQ7pB46JmzfwsX1wKE/I3CBrhV0lY6U/ZY70l/NjI6A+6ItWmQ9IbVIXUr+rae2zHubFJqTmAKt41b9kXUH/VZbMu5I5py39ytqlXp2LMeqcHU+MWWOLfZDjNQ/nxJH5KEvnD1vQJ2Q++s4+qOOgTvpSzxpwsLYeu/TUH2ghxx/+5z949Te5fMiHfNjuL/21//lpdYXOn0eXHyiv6iT0o7O6p6os2ulbH5A16WTYqiHnq/vFWOqq1+mb99a8aZVrDcSc7VeHwzHoZPyC+UrGhPSZ1POai1hDa2G8ruaOdc/bbg6QcVfXBlIvqTnUvPAH9EvWRrr51D7tgPE67yTjoZfnHYznhj3PadngEr9u5GubEBcObe5zXilL5t6Nr8DOupkf/xVvOHuOvyrD0eSbdPHcB4PQz8Fi50GGnG9bAJl+byhtIP2tZEgbYqV/yHHw3IeD5+psxSVPH3SH+ioZo8sTGPeDRR9ZK+RVrM6nvrJNm+pLkM0Xm1VsoE9da2ofZDxgrPZBFy/7IXOUHM8acGzl3dHFB+2tozHpdy41Rndd1KEVc9eneJ4xza3mkR90GTvlzh9YD89F/fS9ZS/apey54CPfpPNh+OWv+Hf2/1CU3+TyN//Xf3RN7pC+9FfXPP2Z37F10g/UuLJ1Hbd8g/E7GbZqSAw3PhV0urgrfXxlbs4DMoeav5iXuZ2m/mAMz2v8GvNQzY2R/cIY/vBrPFDOXNQ1xmoOKXOgf6hWNT/7wRwYyz79MX/pYsAxvpyXfdLVTXJdgddi1RKn9uGD/ty4Z8s4937aSfrpWuxk5UOIlXQ6aV/z5Fc6DmfPbNLPgcs/p1+9qb3xWdQ+eHw4JCxyHgw+PPIhYb/okwcbujwQO9k46uvDWGB/6qSMbvVzKK4Ygz5sgQcO56mX8VLeytP/xMs56K/WDTJW9cl1oa8+cNIG0lc31/QLnX7Oy/5cF0nX59z1kfOgj6PLLe1glStk3vpIe+X8Lwjpmz79q29OkjFklVPGBdqaS15D+pTNUVv6u/qkLDkHa6GecWmViZV+TmvPHCr4yDfpX/7K37174xvfuJd5g/6LftGL9zI+bKtfWnMBY2V+KQPnXZ3ST/YnqQMZ11jY1jUBmbOydbF+xu3GK+nPuB70VdSv84acd1cbqDlJ1sRx+8xN2fz0bZ4Zv5L+IWNpX3Ogn8N80q/9zrGLia/VHFKGzocx1Fnll7VGNtf0h63U2hsn7fSZcxRzyBg1ryRjA+d+htTNtxt6+3hmuAHfgnH19Jnnh1qpY9TE2nQtcSo5H3Vl3qSfD9eu6OGGec59z94vVh8CwE3ODcm5Dx/lJB8M2PswoQXtAJ/cKPR1MlT9pD6AoJPxcdq44Fw4uJGZA3JXB1jFPpSn42A8a+Z5xb6a8wr9cHRzFcZr7NTPvO1frYtOBn3QZ4x8EGdunZ1knp28igvIxvYcsg9y3JzUST2hL3OBjLvKJa9F+jWOfczHDxjwwyjnSivYkU/VgZpDxpXT2OccQP38PenPetZTv+rsf//ubz+RrlD9Ett1gR/zy1j02Z8y+lmnBJ1uTrSizuo6otvNGd3VWhavGeR45qEMxs1+Wljpd3l5ADluPcdWdYMcT5/KdU1u3Ze0kjr6dO7S9Wc++oWu33j40dcxcnefQZcfR7cGsFutSfzLMXPhnOtX/Rk/87aemVfWYouaaz3HJ336tU61ZRy9zHe1IU89+/WTY4dabLtcslVXbvRN+sMPP3wiDcls0s8BFiuL14dQ3uS04BgLnhveh4o3f94w6oI+9LOSpeYAxuKhTh8Pok5Om/Rj28nQzQV7ztHL+aTfLo9VnhyQsZR5AFMn6XT0kzBmW/V5KEHG7si5ivppq8zR1QMO1ckciZn9SdpxSK6rlQxd3PSjX/usl/lVfcdpOzmvXfV9KBfofOa1S1Zz1R6qTt5/NYcutvNR59ActJP8Pel/5s//ld3zn//8vcw/HP3e7/nHexnSr/7InRiSY9LlbP+K09SNc+Mau8tDzLm7tpCx63iXk7HU7XRg5dOauIaAHNA7ZK8tLYfzSlIHutoy1vXDsTU3jnVd1Vi/q/6cD+g361P7Vrl3+dFa36xXzQfMgXtM8l7v5oLskWR8Zfziwzjm1dWik48Fv7a5Sc7zJGvtuC2xGafNcfzl2KE2bdNH/jCgvtzIm/Qnnnhi9wmf8AknZ0PyVIWHM8PFWh8GLGzI/u7hlXCzq8+hD/CGWj0c0Ochx8MudYBY+KKvkxNj46vG6HKAOhd9KJuX/V0ePCR9QNCnDPkwyVjI+NNmpaMfdWjhNPrVVpwfY4dqBrUeK5kDG/PJHLNftOGoMYF+qfJWXOTVnAC9vHagDWTeVSYWNl2NulwqjPMhIis9QT/nCpkTpE7OR9/HrEVA9qhzWNXnQz70w06kKz8g/I9ff+XXLsIX/97fuv+Lo/okx6yZMRiDrOkqnrI26ulTjHeobluxqwy0+Kl1cRyMnf3GypyO1en0jQuZT9L56WylmxfUuukr/UPNF6ot/Y5BXZvEJ3bmItoSwzpkP2CXOvbhq4sl2mS9aoy8b1c5QtoAvqSLmXHg0H2QuRijQ33oZH1n7GPJeZivLWP5bAXH3EA7rl33xj3Ps7/apo+Mu3q+Xw9f+7Vfu/8q32tf+9qTnkHmjxktuNE/ZgTc4CxeHkzcuN7w9nlT5M0lVWdFPgB4IHW6x+h0rHKH7E//kg+39APKp8mlw7jEWtUwY6x0OrZ8dnTzq7Xp+ukzhn053sm0h0Av49kHXa4pV33jdrnWPuqdD3xRH/CXte3qDF2MFeaX+a+un3qgfOxaxF7/ibnWuSXG3pqrqPdFv+d3XP196G98y8/vf/j5K3/pz+3+1B971b6PX8H4N/+X/+2qP/0cGwdWOXc5HVs355rXo4udVH1Im5W/VT/nqZPz63RSTvS7Apst20O13fKfuUnXB/RbC0gZDsXJOhqj1i1Bx/u92q1i5XjGyOu3Av2cU+r/kl/0gfv7Y5UndPNLuvheO+cIWZO8tvU6Z4zMu5MPzV3YLHdzTDLnzAdys53nqd/ZwVZs5/ryF33Avj0tL3jBC3bveMc79v+l8O1vf/tJ7wDzJv2M4Tvplz+29jI3C3hDspCzjwVPnzJwI1SdLbi5eVBys690HUfXmMTIh4hx6at5Jj5Msj/9K2/5QTYXyNjS5ZPjgA8O+rtaZYwtHXPOeWzppw0y1PmJ+hw8+ADfaWcM9TqZeNTANmtxI9duJUPGhZor1D7kfMMijHlkbVOuqE/d2JzWOaYMmX/1u9JDJkbG79ajoNthrjUu1Nhbc/VwzvkmnXP44lf+B7vP+XW/YS9/3/f8k91r/sQf2cuALWzFybXLkTmbq3PfWuP0Y3Oa9ZexU4bUNz5j3Ths9TuWOlmPqqPc5ZfzMq8k/WzVNnGcY7XeOGe8Qh9xDtUc2Rid/sqWPuOae9oIOoxxvyMzD+YOnT6YT8r5XDw2R30wRlzw/qiom7Whr17rmi8yNvhN26xJJwt+u9idjH1Xr0r673SphRvwfA67xjinv55ny/Vgo66OLdgC8c3bWl4PvD1ngw608zb9WmaTfg5cflzt27wZWcAsZPu8efNGBm6SqgN5E6cM2nh+aByMoV7GhczBPPTLPLI/basfbnh1rYF2kjaH8nHcXHiAZC4rtnSI5QOKOPju9I2Z+aVuzk9bxgWbfJClnmSMlM0xPzBqLqJc80Df/DLXLm9J33Ws0+8wNtcK0u4YH+SATjdH6Obb+U291VqEnHN3LTq5m1uSsZOVL+ec30knX2AN8P30B55zZXPD99O///JmXR/OrfLTP/Wm/RvHF7/w6W+7sPFeytq6gXJeXd3q+st7PvVAXfJMOfWpAVgPWujmlXaQNsrdde70rDv3GX11XsrVLmWujTWDzE3Udc1knPSHHeegDS3U3A49Z1dzAeW0JVb1kTmae3I99cq1ztHZg7J6guzm3LVhjWxBu7Q1X/Qyd3OErGWta/pLGXJ+jq18aVfj60M5oR8yDjCPbIXzXJf1PGGsbtzr5yNk3nXdHwvfRf8v/ov/4uTsCvX8mc7T77ThhuEGZAFzEyIDC5lF7k3pjedNmGiXOuBNDCmDN0ynC8atcurRZ+zU4QGQfplHRV1IP+oyj5UtGK9+wGU+kPnqL+uYshwaF/rMwzmnDRDTca8toJPz04b8tVXHuWzFkJTB/CDHsk7KnV/rtZLNJ8mY0uW+ksEYyTE+kpxblTlW/rT1oK/LJ0EP0JMtmQ+pY2Jnjo7lmjcv/XRv0rX5ur/+Lftz+LIv+Xf2308HfQh+/tbf/Gu7z/60j9mf8zvW3/pzP7vvJxdIG/xbW+cF6FffkjaO6582QZdDGTv1jOFYVxs59v7pro1jUn3X/FxnUO0EGZ1jc+zi6Y9z9FexIHPLmlffkvpVznjUy02ZqAMr/1D9wmoOnZ9qX2VrCbb0Q94fgk6tv3aArvrKq/txNe9jrnHad74yD8Yk5YxRdbq8KuqYL+f1ebTC8cwTPOfg7ftp4bvovkWXeZt+LbNJPwe4aVjU3ATIPmi4IcCbGLzZ8kbRTpS5EfCDP28MyBssdXM8b3BkclFHPTB2+sx8UnflF7DxjRTUOJ0tLXarfPSRNQBa8wNlfcLWuPF92EPOGZSNmePaOiaMd/nLVozVdSZWd+3SV/XLh07qdnKtU61NlVe5QycbLznGR43NBzFjmQMyrPxVH921cqzTy2tRr4sHHBPb/HOMvNM36LO+SUcHG/z8yk/+tN2XfOlX7sf4YHvVV77iam7JV/3hL9/94f/oD+51/ZrMB3/Ih+7bujaEnLh/wU1Lp5doQ36yqkPKzCXzyDj4zJon9Xp3Pjy6a0P/yndiHPLVX9pt+ag5ZuyKvnNM31s1OPY5CzmXlEHbGkMf+dxJtmKof2y9YJWjMhAP7Ad8moexQRtwjQA6qa+Mv8wTOD+UryinftpXX8bO+maN1NVvV8vTQL7e2+Zu7fz8BvISc8hcRT2fE6dh9dZ83qY/xWzSzwFuHBc1rTcFLQs6b2L18iYH+rlx9MWhLX4q3Dhpg643FKT/9MHNho43GhgvOa1fwU/G2LJdkflgv4qT9QJ9ar8ah2N8agfMiX7GV7bqK69qXWPUOWoHXSzBVtKv+tY+4+v7UG0k5bQ5JBOzi79lC11sxhxPGZAP+WBTaB7m5JggUzfGO7leS/NYxeY8N5GQ8YDxzA3qm/Rq8+o/8if2/3gU/H66c6Ll+N++9X/efz0G3fe978m9Lm/SybObS0Ku3fpJueL8VnOtcsaoudD67OzA1pqnTnd98tpwMEb8tKOvm5c2kHadj0qNjbxVR3MHfW/VAPCbc9Yv4CPJuaQMWz6c72ljoJf2yN09SCtp38luCKkpOUPeH6mftc85QOrnJtM8rXnmmLLUOBx1DcKh+gL9eQ76BMfQq+tCn+mfdgv84iP3KNi5TsG8wfj2mddp36S/4Q1v2H3Zl33Z7qu/+qv3B7zqVa/aveY1r9l9yZd8ye71r3/9vu+Zzvx2lwXX+9tdHrv05O5nH750zY1TYWHzQFj9K+rEG8wbIWGMh4I+OEcvb0puNP0bt8ZTH1/cgMpV97R+k7QVcu1s0T2UywrjdPWCOn6a3Fc+K+bf+dWX89PnafMWYx26btjpAzJ+HTdG1mZr7ai/JVe25p8ybK2RLieoPipdTugesx5EHzWPQ7EPkbn9oS/9vbu/+7e/eS/X316hHl9z+S2f/6uv/mfjv/aNf2/3az79M/a66HCvsoEhzy/9ot+538z/03/+U23OXpeUnUfmlXQ2nUy8fOZtrSlI+6wl447V/noOqWtf6iWOQ5d/zbUj84OUIfNIVnkir/KtdH7T1tzqte9iJ/roxuBQjI7OV9bqNHn+4l/03P39sfpMVbfaZd5bdLlC5gMZBzxf5S1beaBfa7Hi2DwPgZ/MVZlnCTWuc1G+3t/uAte757rTmTfp54BvCaT+9MwC52azBfrVSVj8HMf8BI6eLTcTN2b6T91EO8al0z3Gr7nRJmmLzLGyhVUu6T9l0TdkzSTH6T9N7t3YMdclMXbOD8yryxlqDjWWdHGNaQxImxwX/Osr5UrabMl57SHjA/2OpVxjWx9Y5QTpA2pdGdtaj8i11tqK/mse+ltdS9m61hzk9zm/7tfv35TzNZV8+5i85CUv3v/+9E//zM/d677z0Ueu5oMfZT7k773vvt2lyz54k15zhrwuysbLvFbXUpkx4ok1yrd1q7fD1a/n2DB/yJiinqQfZOpN3km3LtJOzB/SxpxShmqrX33TruqIn6q7ikWbVL/6MGdwLvqwT1Y+wPNjYyRdrQ+tpUN56gN8k75aU8ZIu8wnWa2LrXxBPen0qp/Mw7mmDDmvTocWjL/Ks7OBbr62KZMDvuo49sQbzp55k77gRt6k/6ufe4Rluz93MefiR7Zf8oZhsXtTKWtXsX/LpsaSzo4P1mPf8Hd+M8cuJzlkyzgPjZpH6iRdLOeffcrd/I7NPf1Dl1POj/Fj4ssq58whWdUKjomNjvmu/CSHfHbjyHxwdH6PyTFBHw7VuJPBc+w7X0C/+aoD1e8xtYIun4y/8msewCZEqo6gm3o5L65tvkk3h0quAeStvLU/dt108YTxVR0g55l+OjvlGk8f3VxWsbu5ZS4d+K12mad56cdzbXxbCZlLF7fmjdzdaxmr+jF+UvUzD8hx6foSx7MO1aarm9RY+sk36bUWKzljr3SB80PzhswHql0l/SivqPPuMLa6W3lK2tR8bA/NI/moFz33RDo98ya9Z96knzEP3Pfs/V8crTcG5zw4eQABix85bwxt8gGRN50+uGmqv2oj6BEj4ylDteNGPPT9R+j82s8B1bdjh2wdN5/E8awD1FiAj9V4Nz99Q9VfjQH93XXJefGQk1V86eJkDvVY1QoYX8XGjjwz3+on37CoDzU3bLbGyQOd6/FHm1jrQz4g548M5pNvf2os81VOWzFPqPaysgN0D/k1jzyHqiPdBp04HNjwJh14k854zVs9fde1g019a1ZtVtR8jKsM+JHqE/vTXHuo1wQfHM6LsdoHxma8ex5mLlXmwC59dHmC+qCNb4RFP1BjQdWlv+YL2pJLzTfvS0l9yDxA20S/+HHe1SeY5zFryTjamiugS0zo6iadTKzMBzjvnhc1H+uS84QaRzt1aAU/xtCn16TKaatd6kDOi8O61tjaQ+arT3RtAR1qq4/qD+wbzp7ZpJ8xvEnPBZwyN2y9iSEXPzcWNwg3jHKiD3TTX+rnTQj2d7HV9TDXhL7MMecEp50Heo51tjmeOEabdTD3Lmb6yvEk/XJs5U6fR7K6Lplv5w9q/K2cHeeDSrp80udWbPLMD7fqJ+cCqVdzg0Pj1R8fiIwf8udc4Nic9OP8ofZ3uVQOXROpuW7ZKR/y65zBftrUAfvyEM/x/95LV/7QGr/dRd+Zd8bnnLVR88q6VRtw3lmDlCVrr2ye1aec9tpnnpkD89LGewnfNbZth7ngM2XRNz4yT32ai/Ed81jVIWMd0jWGeWHLDx3e89lvjlU/c0/StzJ+8z6qPjnMGWrcOodVDG3gDW944/4vVWIL2Gc9tmSvjweQk3L2J5k3ZI1W16KrBXKuP3To72TQFlLHPD3g0HXo8sRnrg/Q55Y/sG84W2aTfsbwJj0Xa124LHJuDG6QXPyCPjdKlRPtUuZG6fSzH72MjZw3GWQfBzLkPJCrL/slc0m55lltOacePCRWeaDDg43Ykn6V8ZFvwew7Zn41d3XTjjYhL+dT5wXop2/9QBc/9Zlv6nbzSFk9SV9ivh7degDHcs0e8teNC+P6c3zLH+RcIH2otxWTsW5u6QO71FMG/dLXxTAHyFw7O+VufTqeudZ8rlfGf34nnXydP63xxefS6k0ypI3xgH7pZOt1mmsoh+zMQx2oOXSxOM+5es/Rr0/axPjKxMwa6Eu99AU1Z/3Tpn0l43a6NUZFe32ActWn33nhd+UbGd06Z0i9nCekjrZdDPRck/omL7j77nv39xN92OoL2Wu6kjuMT5tyYvxj1q/jkLWouqlXZdDWvFzfNUf09Zt+tmIn2mgHK3/Iea8NZ8ts0s8Y3qSzWF20tLnQgcXO4vaG4rzTTTlvQmV/Agd0axyo/RlbGfSdfaCMj5pj+jLOoXmol9hnP36RV3lAzT1j6stzsW/l91DuW28SvCYp60ublGUrfurnfO3r8oHUczxl6PLlQ241L8b8gISVP9dkHa8wHz4ksYMtf45Vf7n+YOXD8ayXVB+wqqVt9VHjeB1tIe2Uq58873KA65XJBXiTzh8z8vekex1oaz5dHzjfeq+A8ejP9Zxy2hy6hpD1VT60HvGJb685R+YA1SZlMDdRrrnUvLIG4rjxU4cxyPVJm/bQxcv7o5IxHE87Sb+Q61ZWtcBvravot153bXMuXcwu/7omORftUz91V7LUOuT16HJGPrQOQd28VodqljHqM9UDtnIU/RjvemIn1R/U9TGcHU+/AsMNw2Jl0W79pM7idoGz6FOXG6PeLJA3gTGg069ykrFt0zd93IDczOriI2OK44CO8zhNTqmbdHkknq9qIbWv88tY+uG82jimDWTdqlxr1eXhUeN3ZFzams+qVt21gJpv2nVjxtvyp479qUNbwW+nCyt/iTkfmiM6fKBu+Ug5a4lcfa/igHl3939dA7C1LoA8aj6nkcH87r7n7n3Lm/TTUudb50YsD3TVqXKdvzZwmrVq/FX9IHNkQ5NrQP9VTvCzqiV0eXmkX8fNRx1y13etT8ra5IYw/VXQNe/0BdXuWL/pE5kDv1V/FSvneiimOsTLGlTwKVxbyPmmXbe2UgbyAGKbj7mA44CcetDFgJwf/XW+gr9VXdI3HMqxi2/s7j5QTw7pZf6McW2Hs2d+u8uCG/3tLvzj0YoL2RsBmRuyu1nRrXATcpN0Np1+UuOeJgdv/sS5pC19qXtsTtiom32SeRh3K//OV/apn34rjkHNyRz0k9dkdX2ky2OFcbbmWlnNKecj6GzluzWW/vggrTpdPKjzUe7IOaS/zge6qznKIR/Kzln9le8k4wD6tU/01eWe8aHL4TQy/v5/H/eRu8fe3f+hEX5t41/9hm+5Ot9ai1oXN0L4TzrbunbMTbpYOYeE/mPWYxe30vlPurzqGt+6562FfcarNZMcRzZW5pn1ga4Wxk299NHdp8lpfR6aD1SdantMTG3sS5nxf/Xmf7n77b/xs3f/1//7k1f9ZA6drxU1XzAf8+xyTroYnd/EGFnnVW2g6tYc7ZPVvCpVr9OB1EOHc9r5Pelnz2zSF9zIgvmxN7/rRHpqkXtTVbqbR/jJmV8pxRs50NfKJvVTXt1o4g1Wb3zRl/nXueQ5svnCsTmZgxyqi5sF2KpHbiq26pdzzPGaZ861+qz+Oe9qmj5r7Tq50uml/9Vcsv6Q+VabOpdK52srl+6ai/qpW/ORzscq3ml8JKmbdL6dfxfLOF1dAJut9VljXA/4SIjHZi2hb2u9Sc1L/ZVt1WcD4XxOsxag1qaj6nC+VXv9p9zlVW0zTpWzFquYXT5bZE41JtS44FidW+plbU7js3Ij80r9LiZkfgn9xOYfjrJJ/z9/4CeeFj/tHMuapJxjtUaQedQ4ldP47eq8FafWoua4InNQbyvP9JV63Vy8tz/mZR+877seZpPeM193OWPyt7twuNDzJmJR80FZbyj0tQV+IsbOc/SrTZL6KWuXcbsczDHzR+ZD3DFQ1raOmS8cmxNxzEe/xqdNGT9puwI9dCR9V8wNiMODCNQ3ljr2p8+UJX06j9RzHDpZ3UM2+oc6l9rvefqsNnVtVKovOBTTeLn2Mkbq1nzo40jb7vpv+chrWvNIeUXnGznHwFj6yn7ngcx9ZWz1M36NoZ3zgK4vwYeHPxBkHwcxzdF8tuqCjfqwshX0+XD3OULOjFf9apNzr+Pg3Gk59JWYW1d7/Wcs43TzkMxFGVtgs5LjSdat5rOSc13os/Ov3zpW52Z+kLnAMT67HPPzoctfqm2NBxnTa4BNrhEPYH7itce3VH3ImqScY5L52KYvwLbOm5pQa1n5hYxxTJysBdQcQd2sf+ZgvlvzT/vUSx1iImffcLb0T/bhusnf7uJN4w3lOTcvN7E3ijcU1IWedtww1YY2Sf2U0fNmSllSN3NAdqweQMtDwwcqrWNS9ZXNg1rwIW4+zg3MBZt86MGqjrSgf+Mdqp962JCL+tmX+cOWz9Q1D2qkT8ezbilzpP+VDVgn2eo3h5w7pM1WXQV9bVLuYjqGD8Zdh9Vv6irndde2ykn1AVW35oF8I3OGLlbq0C/I9GceHejkmlG3W5urnCVz6aj5bOVmXrlWj5mLBxzS1z96HPXaAPZSfWWsqgc5nvKhvKDel0Cu2mS+yVY+UOUuh9UzgaPLyzHQX/YZs9p09YcuX/119+rK1n7j6oODPnTrZ0OF+UrOLetQ44BxqgzIuba9/6ovZag1wa7mXH0i20Lnu4uTftPXIV1An8PrhL59otzFcqzK1Nt5DGfLbNLPGH+7i3jT1IcJC7ve2JCLX1tawK6zqTdzysZNvylD6jrmA0S96i8hLx+k5JTxU662xjJG0tXDuslWHYlXOaZ+zhtSnzjdnPgQuR6f9Ev21fHMAZ/WMPWskbWhD12vn/1SfaLf2agDK/2Uc/0Ys+plLWDlN9cK+db1CCnXOOkj85HsU+a4njkn6RfUM/c6j6oPGQe8XthhT39eQ+zV7XKGbOsY6Fc5r+WKXIOwpW/crFfVV0d/OUfoZOy7tZHxjJN66h6TF2zlRj9+eQY6DjlOvz7MIfNZyR01duZexzJu5tblkv20q/rXHDNPbLr8V7arXDvfgo4QT1Z1ADal+so5KqctaM/4qg6gXOfVgR/XiPJWnqs4lZWP1M05AzZec8hxDueSVJ2sW81hODuuXZnDDcObdG4+FjiLGFi8LOIKOtwM3EzKeQNAXfip602YOlWucbmp6o0GqUu/5yudLVZ5pT9ayZwAe+dZdTu2auK5VF2O7u2PqJ81kIyRB1S96lM9yb46rryVGzWytqCufbWGxjhm7seute5NtGOSMcwBVjqALz/QYGsNiz4cT11a6dbeaeaceR66t+hDXr2xrzYJueCDfvMyV2xWOXOOX6i+1WU84yEfUzvAB0c395RBv3DMNQR859xS5sA2/a7iVT3jA/3Xe00g/dpnfpB26mY+nbzKR7rYsooL+oK0rc+BnMdWzWtuOSbaVdscWz2H0r8y+kKfULMk885cgRhS8xVzUz7NOtxCn4CdPjiyLsawBeeQ84bM55jnMP15jt3WZwFs6eDPHIezZTbp5wA3BTeKNwGLu4MFnj9Z502TttVeXewc92aucmUrjugT/8CNaZ8wVh8E6iNv5WJMbTKn9NP1Z6yUu5oYM/UgdT0/pmaMq9fpG8f+lc/Mp5PZQIh9nR/IGkFeK2xhq4bYZ66VrJV+c171MD4Yl/MbqVc9r3M+FKfTzflnH7U/NOdVnlt52Sp3epA21T/UPmLyDPF5kzmra9v5Rr+bG3De5bZaR50uZFzZqlXqQV6PlKHT7+JVvYxvv+fQyenDuec6sC/vX23qmrF/JXN0OWTt81pJzSvjckDOB9Bn/dQcpdYc0GWe6GZukPa1JoxV/0CMVfxaB+cvb/6pN+1e+vKPeloturz1RYwunvkaI3NPf9V3N6/Ol7JUm4QYh962S+bD2Oo5bB+t8zcvfGR/BzrHXKfh7JhN+jnAYvWG4PDG9GaouNhpWfzcBNrygOjsHAfGiMkNlLJj1b7GyRtViOv4MT+ZV7nLBTJvbdCrfdL1r+T0DdYOOr/qEj/f1Hagy7h6qV/j0O/cb6R21eeKvJZpm/2wimmuqxi1VjVHWtGHNhzVv3aQvjq/KSf4rfdK+hDHVrXAJvtq/pB+uxhJjcVR72H7U6/aSNpydLUA7ThqPKDfGOkLcj51bmmHDOgIsv1VdzUncdwWVnNMHylv1db+Y32ucldOX2Ctuvs/wab2d9eom0vmwcHmS9Jnl1cXVz8cos8ud0HfmkLq6os+IO4qH+eXMtB2z2Djuj7AeiT8Fd0ud/TUVeYgXs7BfMB5QOpA+uvWRcpQfcmqDh2MZe7dPCFzUyftcn1xOLfMK/s9z/xo8zo5Xq/RcHbMJv0cYLFyQwjnLGJvhu4GVWZTlw/ivImqrjHy5kxZqj3ol/MuRo7jz3FQpt+5VdlxZci8HdOGfm21Ub/zn3LVty45r06PlsP+pOok9bzGsfW4ntpB9SmZG+S1Es7rNaxx9JuyZAzlvG7G6t7qQGeT1LlVHcdBueZT75XqQz3arVqgU2sP2ueYtknGgXo9cn2gV9cnetVG0hbSD7oc6RNqvC4PUM751LlB5ub8u/UKqZsymGvm4wd+l1edY8rdPX7MXLd8sp7US/uVL+ee41kP/W7VCcyj9jFH+xgHzle1rznQdvnkWgF8rnRplb3fqi7Yl2OZj/nn8yLnynxWZF0g7/kk52W8bh7oZZ6S+a5qnNS8Orn60l+nW/NUXuVQ9Q7JmW/6zLxSlswP8CXoMl5rMZwd196tw5lQf9J0Ebv4czFXGR1tZWWnHg+d7qYEbDt7yLGqg30d50HDA8f+nFvKkHkoQ9XhnIf/sW+mu1idvphzl4fYv6XjOFiTxJpAXg+g/zS1A/WwO5QbqF9lQNY+Y1a/KUPGyPzQcS4rX1DnJNh114XW8dRBhpqP8aG7B0A9xvEl6DDm2qNd2XdjnV7iHCTnkDVJPdq83mL/Vi1qnTs9qL7U6+pXc1CX/i6mpC6tc4KaD+BPm7Stc5Qau9MH+g/VTZAzNlS5q5s4lvWDmmuiHzed1gHSLuOhk89KUUe9rfsBW/tyvNMV64Ntfb5B7av5APXp5rRVI0HXGqcufWK/Oazm0cUyH3Pimqzu+yTzqjIH+jWmY6kLNU/Ha3xl9eQY2dj5PNy699UH/Xgu1d9wtswm/RxYLXLwnAXNTVjlxBuGG6CzEx4A3U2ZN15np/9OB5m4iXHQBXOqsnQ5pY421S7n41jqVZtOX2pt8k1QzneVq/7sy3p1MmRM+09Tu/RX8+9yS31lr53Xsbv+nV/IGJ0doEMsWdmvWF2XJGvG2FY+K3/q5Tj10Uf6Wdlz5Fgnp6/V9UgdSV2oedZ+zvWzqoU+uzlC+pJav5qDPrt5OJZ6KbPZqfVMO/KU7EMv57iaL+i3jh2qW/Vp/Prsg65uUutX15/on1aZ+pjLap1I17/y2V1P7NGBbhxSt6t5ztW4tS/rxzj2jBvbPLvr6RhtysTgBxRkoQ/uu9xvTP0dmgd0sfCDX3OWOmf1rTXn1gEZ8JExtam66uXhuHQyeqv1nDJHkrFXcXKeq/oJPrg2w9nz9CfRcMPkgneRu+DtQ4eFnbKoDznW6Qo3DzcRN5M3UubR2aHHh4mkzlYc/fMwyxs556he5oScOpA+kmPjyMo/ZB6rWqaOsY1rP9SaSsqAPWS/fjK/bm7Q2WWOW/rIzItx5fr2zTl2vh1LezBe6oH61VedF22S+uZb9fQN9Gc+lcyh6lBn+hnvfBhnZZ+5djK5mT8QQ4yX81vpAn6h63cMe8a7t33QxUzSl3Cec4PM4VA8qTK+js2z9q3k6qvKSc6Vsc6n9yHY12GNujhZu1WegH9BRj9zgc52JYM+8eUzHTkP8848VzIH/le1YByMi2725TzwCcbInE+7nsA4gA3U76Sj44FO5pQwvvoMBMazLlBzM47jysc829GzJqlHm+PHXKMtOX2KPpSr71VdOn/2DWfPXe+fv8PaciN/ovaHfuKt+0XNQmfhsth5GAE3Aef5IKjk4vcmOhZttTP+VrxDOvgkb+YEysTIXCXHIXNS7nysYkDG4WGylSusfDGuzw7tM652xs16dbVDl5hdTfVfc6rUHM1DucLY6jqmLXDexa9ypdODnOtKRzIubPnM69fNC7DZ8nm94KPaZ1+VK4yt1kYl4zDezXfVDyuftb/WtMp1PplXsop36DnCpoWxtM88t+7rpMbXLvvr/LbyEu1z3vSt6gZbtat5yjG1WtmuyJwPkb4zzyofi3Phz8LXOdVYUGOkjjC2un/yGqD3/d/zT3Z/7s+8ZvfXv/HvX+1Tb1Xj9GMeW9ek5lx1V/G0S/SRdHqZX8avuWxR/WbtVjKs5gnps9q9/EUfcCKdnhvZc93JzJv0cyBvLGQWuIvec8a4AWhTBnQ9up/GOxvRTrjBurcV2tHmW9ZjfvpPmVj5EzjkOGROVYcYnV31kTFq/ZKVL/vxs6oFoKcuKNNaI/x1sv4g+xP9ZX705fwyR9EOqj4HulsxGa/5AX36gJRzLUCOgXLGTR3azBNy3lD1Oz39m/9qLqKPWkNY3U+VY66BIB97PVJPOXOBtOv67aOFGt/csw+yTisZ0NcGunWQvjkYy7yrDTimDYfgK2u1dZ20NYfqF+r8tp6Bor/UgeprFQdyTLnWCg49lzvbLbnOp/pL9M2R5ymv6l/90lrf/BxRzzyTjAfIOR8O/VZ/kDU3j3e96537Nv1qry3tlp+MVzEvSN3qr9pjU+fW3RtVD8wPPW0hZej82bfyCVXWr7r4q/8FFlInfdTrPJwNs0k/B1is3CS5mKGedzeMNxsHMg+/Tg9WNsQWbjBiruwAO0G/08UH8+Kmr/PQBj+OOW5OmZ8+9Nf1pQ/IGJLz6PznIav5VR+dLOkvZdBf9lc/OUfJ+WWONRevba0Hvmou2qgDmV/WP9eM1DzUQdauzqOSeZqj+pmfct43tU605gM5F3W6uRoDck7Q6cAx1yA55npA+l3lUu2yX/9s8lKv+uXD1WcHNuaTNe3utW6O6dsx+1bzrTbqQY2BXfqCtIfOV81BvzmnzOtYf6KMfXfPVv/Gp0255gn0YXdsTtVPJ0Pa1j6OKndrGdIndDL2df0k6HW5dbFzPtD51I9jOf7c537gPhep49pC9VNlMc+as7rm6r1Y7aXObXW9Uk9/+Yymn6PKuUdwTF9bPqsM6d++JMch7c1hOFv6O3S4Ibw5Em7uXNwsag4WOAvdG8KFznne/HmsbKCLDVt2nkvV5SBvfdcbFbSxXx3o8tNfvoGhr/vJXcylytU/PmsetGKuWzUUZHWrv+rbnLIO9nMtBZ+ra2Q+tjWXtEv9XF/mBdqr64GO/my1M2/Qf+oge90O1RrwcZq1AejkuXgtbKHGRXaekDHAfFbXX7qxLicxZnctzA30C8iZS9bJcQ9Bt8shdaDa4tP8UwZzhm6O+sgxfddnmzju2md8FUPdhPND10md6ve0z1upOhy1VnDofoOU9Wk+cmxOjm3JgK3+ZJUTMnMy/5pb5qWcrfZQfaxyk7QVfeNj5Q+dmuvdd9+9f5PuXLZsnQ/H6j5VhlXO2Orr2Gcghyinf0g9fDCO/5qHKGuXnzP6sQV9WitlSR85F2Wo8fVFPYazZzbp54APmoSF7OJmsXOTg/3oe6N5U+XN401C29kQk4eQth1bsdI/pK4Qg7yxyblUG8kfMmp+9nsOKUvmpWztIP14QOaxlSvn2mWOedR5Hesb7KcvYyTOi1bZOqcNcpJ2qxz1AZ1vSL81b47MWbvOBjp7ZD5oXA+Q+XXzqzGEefqDXMZN3/WDqvOlPflVHXM+dA3Uy3nSrq5FpwuZS9pW/bz3tHWs6km1Nf+UIeNm/8o+2cqZlnHttmJUO8jaGL/m0OVec7Imp/FnDls6snrWaVfzwTcHsvcGaKOdOt01TR95fTJW5tLJUnOD9IPsfWdrjtLNT8ytu48k48GhnOTHfvSHdy9+ycuv1gDStrv2eS6dvMo5fdHf2WYdOhnqdXA8r6dHd/0cE/Ly3BiAfvqEamts1qP9x9aENnWHs+OpO384Mx6470pZ82aEXPjcTEI/BzdRtfHGAezU4yYRdBg79id6bq6qB/UmS13IvBmDlQ35qUuMtE1yzuaylVfnp9aNHDKPrVwdwzZ9Zy5Q/R3jG7J/FQNSL3WAD/Du2kLa1bzMwfpA9Q05R4/c6B5js1UPZPr1oQ0HftK/c6NNuUJf+knfyMf4QZe8qx7UnLocoZsn6HurJgk6acuxugaMmTdUvzl/+455Nphv6kDGXtmae80lMe9VDOns9N89IyF1xPPMH471162N1FOH+WR9ajwxbr2u9FX97p41B/ukxsOWnMgtx1ayeUH6Bfsl559UH8hZP9iqjWi3um8gY8GDz3vevmWNQ47XeNUWOeOlzHHM9VTeyluZse6+rte2xss8ak65hvVDC8rVZ2cD6InzO6Ymrrnh7JlN+jlx1+7SNQveG4EFz0LvYNFrkzcaN7U3CFQ9fXJkzOrLHHiY6RPUyxhiLG9UbkZRv7PhbYv5dzqSc4FOxpbYq9rVepij/eRhDtpbC3VzTNIn+unvGN95XSBlMQb9qzkSiz51Ie1SP/MS+yB1zTPlrN0qn84Gfa+5Oa3s007dpJsn+thpC8q0Hekn13uStYF6r8FWjvRvXTf0yE8fqat+ziNl7NMmybyrX8m5cOQ8lbN+tRbpP6m25mz8bo6yVe9DtYG0r/E7uatd6mz54zmZuVY9wH7rWaev6jfn25F5oav/7OuuOZgTbY6tZPNa1d5nAtQx2tRL+1rbLtfOj59PoD/tMhbQ/+gjj+zuu+++p9Uy7WQVjzw5N2dkONaHz0BttevWNHrdtctrW0n7lCHrDCl3zzNY2WzpbtWk+hvOjqfuvuFMeXJ374l05QEFLGIWM+SNnrj486bhIVJ1U0+fQD83Pw+B6guQ6dcG2YMHzSon9H3wJysbwI5+DnVSFvQy55T1cah26EFXD8fAfCF16zzSzvoxlv0pQ+c7/da8teegr+ZeQa/Wpqu/Y4l2mQc4N8j46HTX2zxllbN6OVbjdnbmfmgNS8pJ9UEs49MmqWtOqVvt0PegbzUXUA+qrn7BeaDrBgW2/G/lQH+1oW+rrlB1kLu5Q9oaP3NxftpKxjDHOgdtocsRanxgLOt3yCd9K3/018OxCmPdvQ6dX8aRa260gp71z2vS2R/LVo76qs+x/PypNrLKhVzhNH6wqb5qTpnrPffeu7t06dI1NhnjmHgekPKx19TYaYt+jknXr12936DLIcdB27xvvb+OteGAjCeHxpHxM5w9s0k/B571+CP7Reui9ob2XOyvNyA3Tt4U0OlyU6Bb4cZE3xw41K05JNpBzYkbs2PLhlbUgaoPmXPKUGsBXcyuHvR3cSB91nk4X2PrO+OlHnS+sw+6vJG7a+MYrdTa1LzT5yo3WL3BlJoL4Dd1a72dx2o+YA51zJzrvDhHN+NVWV9bPmRVq3ybJurCyq7O0/7UqWsp0W+OkbdyZ1Nj1OtQSf2urtV/6ihDFxPbjK8/dGBVN+q99QYautpoX2OnDjlnf5I+1Vn5A+PVa+h4krWCLpZ2nY9aK8Andarrs7OvmDutsn4kc5Sch/0+LyDHVnU2HnVjzGMVe+VHupyAfuBNuvME/R0bL/NNTnNNRV91zH7o+mkzXtcHeS0S9LynUobqkwOZ9ZA/1EKXg/q03ThkjsPZce2KHM6E993zvP0NygLmZuLw3AVtP+TiRuYmSNTlWL0lqqR/YlbdvOkSbVY5dXYrG/qZNw+zKquT0O9Yyjw4T1s784StOEn6rLWir/uAq/XvfHO+mjvnXFN8O8et3KHGqD5hlZt5ZJ3UNW7mkDKkbr5p55wx5pH9iXnnvVB9J+qD/o2t7NgxPlJOPWTHqu7Wmj0mh06HFozBkWs89ToZjomx0gfnU+8tMa+Uu2cPdnm99XeobsJ45iz064N+dSBjKyf0d2vQeRgT27pe03cXzzxTTjJvY8HqHtc+dYlXcVwdOLRmIH0pp6/qU7Kf1vrY79ihZ1d3DWp9sKm6+qGVjCvUAHiTDtUf51vxrCF0+ULnA46de+2HTh/o0799kPHxqy1tRXsw384nsv4qK32oOSKb33D2zCb9HOBNOgufBexN5DnkTc3CZoGz0JUTdPJmxE/aJKmrzEMIvaoLXT7INZ9qe5p5ZB1SNid9G1t/5g7XWzttDsVJuZuv9h5dXQ755WHuJid9AfNDNl84be6HaiHEYlOCDaR/6HKAzCdb0U/th8wV8nrCMXPNOXVxtny4jkSdeh07/W7NdtcfModDOjk3ZNaHY3BIPiYGpD4HsbAx/ure6mTXab0WievL+WBn7MxXO8ah5gB1nXD/pG3KYK7KiWNeW23THvI84+nPPljVLe91sXY5n86+u6b6reu41qeT8bOqe/Vpn7l0MWv/1rxyDol54wsyr0Q/WznhC/I76dXfVrysYdoYS5vqA+jDRnuoa1QyRo5nv9eJuPV6dfG1rfVJOWulv26NQbVPvSrjV3+QdRzOlmvvwOFM4E36vo1FDMq5mJFZ4FX2hoHUp5/zrZ/gpfNHC5lbZ2Mc7eUYu/oWK21ofRCha17Q+ZPriUkcHiiH4kiNCTyMsm60qXesX/LRpvoU8z0md3RyI2BO6NZadGCvX/OgL2N3svppe0iGrAecZq7g/KDWz7w5wHHIuqQNrWOdfpK+0y7JHA7pAOPAeX6w57G6DhyHYlR9IRY2xgfHs6/mJ6u4FePqu9pxTs0zT8gcgH51MmauAX1B5g117JAPWsC+zjFzYLzLGbmzFcbqtenuY9jKXaq/6hsfabu11m8kly6PVW3hkA7jHEA8qbHRf+CBB3aPPnrlxVj1IzVeYt70aw8ZFzKnJOfd5aBdjW8/B33E43N99fxWt8q1PlJrBcZZ+e+uPzbmlHJCPzUYzp7ZpJ8DvEnft5cXrjelMjcqNwMLWllSBm84+h1T5qg3JNDf+QZ1MqfUVQZjJDkfUL/aVaodN/hpcwdzqjqdLtQ4PIA6H1sx00dev2SV/8pv9dnVZSt3/aFzTC2y/vVaZB58gIOx0elkOY2ceUP6qn5X10lSP/OWHMeum2v6rPpirdI/46kDVe+QjuPqEF9Sz7zoSxm2YlR9+/UJ1d7zrLfj2Chnv2TcjJV0duSXeapT9dBhY4COaCfKaa9+jiUrH85FzI1x+2nRs1are109WuX8rwxAHiv7Lvf0CVnDlAG7tM0511hw2lySLg9R7vKWqsORuShX+O0uDz74vKtrrvOTdc8xWOVBTOeqj7quIecth+JUX8YyXmJs2pqHNl2d0pd23XVN/+SYPiD1qy1gR3/WcDg7nr7ihhsm36SvfjJF7t6G0wK2HsKNWXW4kbih1NU3cRLHObqcqpz5KAM6on7+ZH2MHZBHzR3IbasutMbNsaonGSdzTB/KjlU/5pZ6Yu4cW34r6TOxH7I++uxqsaqXMmSclDOPzJV+x1LOnA7JtpB5iT4h7cwD3ZqXaLs1zsE9k7nQdjaOd3U7tr6Z9yGdykrPeVQ5nwXVVrL+q9jVj3r6TP8rGTJuF6t7djkX6OZVSX3g3DkqZ2553cF803f1Ac4l/UDGgKxVnbOxoNYGjAXodm8nMzdz6XwCuhyud1CfNul8qkN7mly0E/NQXtVWqg7H6jOzywv4Pen+dhd9QK37agzor3mA6xHMpSNtUu7iwMpXvR8ztlRb9OxL2bH00T3LHJPqQ9Km2iNTu+HsOfdN+qtf/erdJ33SJ+3bZwq+SQcWOouXB0C9iTny5lCuNwE3LuArdei3D13Qb6IfdbqcoNp1uenfQ5/Jll1Scwf60Ot8MIdax5UePp03D6Z8E5e5pCydH+uV6N/rc8iv+tVn1ZOuPr5lBmNwdHUAZXQynjL5dDnUXJXNCbZkP1Azl8y98791nSTtgHmkjypnLrbVJ9RcldXtxqDqyTE6mSdYny09ZWq1iqG9c+L6WqdKzts1IZ1/6GRi5vqqZBzy955Bdh2SX9XLOVcZ1Oc8bckBOfug+ob0Yf1yLo6lLjhPbSqpl/44iO+8aVes8l/FrPp5z8lWTcC5VrbssOGoMuvUTbc5r/IxLud1LVUbQJ/+N//Uv9x96If9gqtrCozTrUnHsg9qHpBzTn3nR9vJ5FLjOFbzSftVjdFf3V8ZI2VJHxwr/9qlnNjX2UPKw9lx7pv07/9nP7j7gR/4gd0/+Af/4KTnzudZz/mwE+nKDejmALh5vSGBhc+Nxw3ozeFDDVj42kLeKPZrB+nfmx/yBqo5QZcXR82t04PT2onjFe2zrbWAGgtyrik73tWo5g/Vj7G1gexf+a360vmkTTIf2i4WMJZ1SJkDPeMpuymmPSZXwZ+sZMCX8TmMfYz/zCVlUBe9eq9IyoC9pN8Ef7Vu9texKqe/lf6huWR9VnqQNnnUPEC/XGdI/4IO4Nf1lT5Xc1bmwF/aHxMnbZwTpJ6sZDCHTiaGfTm25SPz4j5jnom6xzxHONIfeO79Z/+Kru5dTEm9le/UQQZr4nnHlh1UGZ3MoT63BD39MWZdco4pA/r4e9c7H9nde+89+3qC47TkYPyt6yWZh3Q1h615d3OGHFv5In7WmAPdzjZzqjJozyHI1b8cqlG1VbYdzp5z36Q//Laf2bcPfdBTG9c7nScev3LjQd4AwE3mDckNwE1hnzcD5y78ag/0df2Q/kE5bTrbLi/ocuv0yDdv7HyDAtUudasM6Pugtj00Z2ydZ9av2mUu0OWV9sqJNul75RdSf3Vtuzy26pP6dR2lDMQynnLG1xcoM97VUZ+H2vSfHPIP9q/yUpd5po+VP2Vz01etb1239m/VVxm6a1R1QDnz1G6lt7oWNT+wL9EmdbDn0Helm0OVIXOSQ3HSptp7fuja4jP913lXPca078Ygx2pNMw5rxTFY6Zmz6D/7RJtVnMwHDuXGOdhfdVZvuTt9Wshrr83qOlW26qlc7cjRvmrLHOC5H3jlK6aALuM1h1q79FtzUIZVzbE9Zt5pX8eyP8eyxlDHocsJlOt88r6o/mU111U9kP18Trvh7Lj2KX4OuDl/9zvfsW+fCdx9z5X/ZO/NUW8EbzYWNYsb8iZEn4XPA6jeaFuy4IeHBQ8N/XKDbtmA8TMv0IdUPfzkDYqMTvqAtJOVLDXHVf6Zo/nU+Am6WSOouWhffRlLu6T6rddhlZvjUPOQlCH19Zd+aIlfa5VrAbQ5lCvn2OlTHWzwSatPxmEVq/Mv2Y9erWf6o823bsrQrfn0BVlTZPr15RwyR8a1rTKkP6g6tcZgnnWeqUc+mYc2UPOD7Ev0B5nrSh/SJmVzzPrSQuodG6eulZxzyo7l/KX6r3XqnqmObc0fahznWI/8IW+VT8bvcpGMI8jHrGPHtvySW5eTOpIypH9sGMdXyiu0W/k3FzBH5bRFpg733nvf/m26bOWQdTPfY+e7dU8emrf2dW4ede2DY1DHHcucan5b6xC06eKmL+jqkZAf+sPZc+6bdDfnz/nA5+/bZxoubm8EDmRugrrQJfvz5jgk583GDUl/PZdqs5WXYys9Wm5Qb2zaRBtuZHRTv8ocaaMs6q7yzxiJ46nbvUnKXCTlzk+Vs/b1Ohgn0fZ66lNzreR1r/nZR1w4JlfGqZt6jCOnT3B8FQs6/1D7M6/qj/lL9dXlVHPnWF1zbatfbOtcQH/qd3o5F7Gvm6d66RdybtkPVRfMhZajW19J1e/mmzmA8vXGSX/05TXp5pTz764h1DpxdG9m0y5zUq5zUN/xeo2PyQc6+Zg4+qEfnZUNbPmFmpP1qfra1FxyLGVRn1ZZn51/c9FGqi2Q+3vfe2m/Uacf0lcl6yar+lQf1TZ1On3zVT/rXOvhc6kbo6223Tqo+XHeXe+kywnSl3PTB32ZI6Sf4Wy59ql7DnzIc969b59Jb9KBG4MbxIWdCxiZRQ11weeN4o2RvlYy1JtEezlkg7z1pkkyf0DPvnyTWe2z3/OUHasxzTV1V/nr85g54MO4kP49P8aPpIxvc0yZh+vKZ8b1PGXH0qa7XrSJsc2P8ezLGqxyBcfysB9cW3WN2Wasrg5VTrp4NfcOdDOfPIA4Kz/a1txAmy5f5wad74wvnueYcr0O4rwyt5UM5CKZV8rH6CfkV6/39cahL31srW1rw0Ff+q6oJ+rR19UQzAn0nXG2rjF6+RysZNwqc2ScmlP6VB86my2/FcbVd7zqr3I5dC8D+pJ5ppw5qwfVj3GBMb7qwkY9/dCmnGTdlDnQq/ls2Z523qCt/ZznD0WQNsr4zPGsQdqmjE33eUybpN+Efq7H1rwyltdtOFvOfZP+s49d+a7YM+1NOt9LZyGzeL1xWMQsehe25M2hnDcTN5m+VrIx9E0fPniQJCubPMwBlOlf5Q/04bOS9oLsecqSNjm2Oq950V7vHGr/MX5S1t7606Zs/SV9SvpJWdKGo/NXY9dcsy9Z5UpfriX1sg99PxSw6+LLqg6wmsOWP+j0aDOf1CN3fBxbA1DGRn8137Q5NkeO1Xj3lg1qbt0bYshcuvVfczyknzlC1he9lV3K0MXBr3Yc3TxqfWocyByV67MQVjXMnPRtP2xd43oOmQ9kzVIWYrs+V3FyXozlODbVb9WpoM/9u6Xf5ZK1gE5Gf6uegC6+ch1r08UlT879qovXt4tf10InG0u2bOHYeZuz9tbAfvyI/Vkr5bRNMi9l10RlNaeak9Q55v2hLj6QU284O57+1DpjPuC5z923/gPSN7zhDbvf/Jt/8+6uu+7aHy94wQt2v/Zf//x9/53Ek7t7n7aQWcR5Q4I63CTcjOrXBZ++VjJwc3LTQRcP0PemzxuVNsfNR//coN3bLX1lHpB+ujhgvvYZj6OOQe2jXdW1zmGlK6tctvxUn5zjA+iXlNPfjdRH0o/9NXbmyjXkw7i7luoDfelPH6m3qiVU20rN+9AcBPlQ7oCsL/3X3LXd8tPlid5Wvql3KEep4/jID0VIfTAOeVhj9TM/7Vf3MC2oy0Ef8fS7mgNkDLieOK7LXCuMr+rM+SoOZI45j0rGyLlu2YA2GXclQ+YDxHVO5pC6xs6xzmfNMf2Ccj5L9EFbQb/T0W/6FvryOqXMgY/MdeUbcj7a6LPaIPuPRlkH+skDsvZbctb8kC2s5qxMfs4VMsYK9NVT7u4NIR73gaxibM3JWN2ayHmt7jVkdIaz59w36fnbXb7hG75h99KXvnT3Ld/yLfs+eMc73rH7jn/49/e/S/1O2qjnIubhmDeIOE7LTcLNgqyu+qmnjE/Jcf1AxksdSD1wMyCZj9CHTtohc+NWXTk2DtR51bE6P/p4gKS/RF3zQq/qMrbybS5bfjqf+qCfB5c5qpdxUobT1KfLHdlYGRvs9xwytnLadjVOPclcOLBfrfsk8z40h3ocyh050T9jmd/KT9rndUD2hxz6Mt+VDaTvOi/oYuND7HdMzIc8EuNnP33Yd3nl9euuO3Q5ql/v3dPGqbEk56Geultx6F+tBWPTAn6yhhlDOpsuLqzy0Wf6UnY9QY29irXK0WvhOoeVj5oHrWzpVH39c54y5NwlfefakWqT+WfcK7+C8anvpINjoJ9cCytZsCdGp5N6mdNKBuUuBq2yzyT1lNNO0p546JhnUuN0c5euvs6Fc2zyM6qb43C2PP3OOGP87S5sxL/wC79w9/znP3/3qle9avc93/M9u+/8zu/c/dbf9gX7cTbrX/QlX7qX7wRY/MDCZZHXGwXZcWHhc8Mc0qs+7RN8EH/LBxgPXfxVGPdmTNJOHfXMPUn9VRxwXkmOAb47fedZY3e1SBkO+Qb6HeNBWv3Qgnoc9HVzAn0B8mnqY0z7GCcn7KWLnXkDdhnbc227tzepj17NRWquqUubGLfK6OUcuvxXuWfOCTqM5bw6PzUW0J+oa//K5pgcHUO3q5F0MaSz1W/FWJnXobdx6nGAucCq5uhmHEBXkLu3c3V+xl3Nv8YxFnPq/EPmIdil3iGbjHlI3vKFjK7HMWsJeZUj14I+Zak+oMtjpcN5XScJ49p086aF1DPH1Kn6kjbIxGCD7nfSQZu0p804nazeVh0dpxVzgpSzhl0tAL+SeUCugYy7sqc/faz0Uidl8jT/1IccS33nZTucPXe9/zIn8rnwqZ/6qbvv/d7v3cts0H/k9d+1+7CP+Lj9uXzCL/tFu9f/yJv3Mpv1hx56aC/fSvgqzvWW5k0/c+Ufy/Lh4MLmhulwPEldFr83BTccD8i8CaX66eJ1sQR9xmm52bxJkTNmYgztkuojb/pj46hjv/N/57ve3eqKfp1vza2C3pZvyHy7+cKx8zmkc6g+Gds5gv2dX1np2J/+tsgcpLPt9KDObasmSeaPTV6LVfxj/Vc/NZZyrVuXS/ZB9Z0c8pHyVgxY2R475/qMkcwRUoZuXkmNU3E86eIdO/8ap/Nf7eqcOrr8sbV/S64wtqo3aFPnaT/nK7+HSB/Q5VF1kpX+Ktck64ysn04XVvryR//wH9p99C/92N3v/F1ftD+vdelsVqRdnXfNr+al3NnVnLY+15Mas1JjJXUuW3EA/a5Wq/4Kei9/0QecnJ2eG9lz3cmc+5t0/8Ho/ffds/uO7/iOp23Q4Xf87qfeoL/+9a8/kW5v2OzlDYTM4U+cnh96Y+JNwTgPgbxJ9MFR0d4W8FFjgeeMgQ8bqDET42KX84Lqo+ZKy00vGcc8wX7n373dhfSdsYH+zC9ljur7mDdvnZ9j5yOpI/ixXfkznrrieedXVjrpb/UGJ0G3zh/qenbs0PoQ89qKy2FtGLevyxs6/x36EeUte3RqLpA2oO9DOa58HBqXle0xc8b3sesfWVuubdWnTTIOdOvk2DXSjUuNI+lbOfMF59Tp6rfmDfTLllx94YOYW9cG6jy1V97K0fllvpA+Vnl0/qDqGwO6XGt+h55rqQ/ps+ZJbo8+8tTvSNdGX4BNt6arDNqRQ9U5lBc4ltinX3xk7eqckrSpMsfWtVaHo8bp7KDTga0cAV3yGs6ec9+k+6sXP+3TP2f38R//8Xu58uIXv/hE2u3e8pa3nEi3NzyI8gagBRY6C76eQ9XjA9NzbzZJv52cm1ly0baLVcc454bjgbAVU7yBnRc2nY+0B2y6OJC52HpUql99JplfytD5Nj5kLqlT/Rw7n5VOncfKX+pVuZv7aXWclyjXmKyx/MCFtEWHhzdkrZhLrUM3z1VcWvxpxzms8l75h/TZyVv5CXEZF3Q8KjVH700OY6ziduMcYL7U2/4u526Oyql3mjqu6r6Kg8zaST3y1o+51HgZ03P7uhgpZ7ytdQKZR8o5BlvxXPdJ9ZX5Q+dndZ1Tp96Hq/lVO2VrvKLOuV5/cLzOCboadutIUl9/K33mDg8+76m/OOr88l7gMEfoZGsCXQ1dQ6u8OMD4tJkL4Hfrcx3SHrIeKeeYKNf4tXYru5VOzbFS/Q1nx017k+4/IO14/gs/6kS6rPfwwyfS7Q03NDcw1MVbb0zlbpEzxg1ebzrIGygf0tUPNxBkXHW82R3joI9x7bqYQF/6tIX0Yf6Q9uj4g0SiT/11808Z0m/mnqTPlX9wjAcb19DzqgeOAf3HzIdrxfo4NA/6cy6dHj7rtd/Sh2N08Jvzh+qD/lWdIeMA/Y7l3Oo8IXVrXNEuwaZeNzi25lXu8tOW1nPGibVaq0nmmD7xQY65hjKuco4bA2qO9Xw1X3MR61brWH0mVR9qHGDM9Zp6+qTP/lW8rsbQxQPk9AvI3TqR7KvjylvxuhqBvo6dwzHXD381Hn3HXA/o4tAm6aOL5dE9I8FxYKxbw2lT9bu4wBzvu+++a96mwyrPrMlWfaDq5AE1L+cB6WuVC/rapAxdLsZNGZBrnqvPhKSzqzi+ypUWaNEbzp6b9ibdf0DacfkWO5Eu612A76OfFdwoLn5vgG6h82Cregk3WL3pIfXR4Sbhplr5MZ463lSZB3T2XUz6nIfgM+cDmX/22ybmol9k32BIJ+Mr5y+dP+cpmV+O249dnkPnc2s+GRM/6K7moZ+UpdPDXzd3SP1jdHIs5+/YyofztCbqJakD6NS1Ap0evmrszCf163WDQzVP310cZdGWuImxJfXIx7m5GTdHY9Q4eV7HJOchna/VfLt6Qe2vPp2L46mvbsbR1msB2S/6zWuQ1Brnc3brOup3dX87Tlt1IcdB/13MpPPL9TdvcD5d3nKMTnLoehyKU3PudB2jhbw21V65+oCVTfd8SIh36dKl3T333rvPDw7pW5OuPtUudeBQXs6D/lV99SHaQNprpz7tSq55cn7aNQLpExyXTkafODzPhrPn2t3KOXDavzh6J7xJf+4Dd+/bY9/cdXreJMKNxo3AjaecerT44qbyfBVbndVP22kLPjA4eDgxlvlkLuknqfaZV8qAD0DfHLX3yFpw1NidP9jKD+q4/iX1pPNZ43cxs360oB1tymAuWW+gzTdToj4HOl0eqZPXRhyDlQ9AZ7WepNM59h7BV51j5pP6kHkn9G2tHeWtezJ9G9dzQM4YkPml7HhX+9q3lQvH6t6qevQ5X3GsYn/nG3IukH66OJUtv9rZTyvEsMapp13KxoCaj366+XS63RrPdZk2dT6CjC/1kD0y7+SQjrFoE20g7Q7FAcYF+Zh7FVb2oi0tdDE5p9aHPhu5trxJB+eVep1Nxks512LCeF0jtW6gL/2t8gd8qJvPCuVOX1ZyxsaWdXmofmDcLhascjQW+sYZzp5z36Sf1V8cfeUrX3n1DyB5XNQN/bsee+LybXBpL3c3FIu7HtzQtKBevbm4ERjjnIdE6nHjaC+r2KA/brYt21UOYA605l/9aEcLmTd0cvpBXzl96Ue/Xez0180z/XGok1QdZP2saoceZPwO5uAHfNZhay1A6tMPjom58sED+Ovy3PJLf/o55AN7xrs6ijp55NyVq445VhizVc6cO5ynPtNWmaPLK+uyuv6QMfSX+tWmq33t07bLBTnvTVjprdZs1UsZ3926zLlUu0P3E+QcYfUcqXMBbLl/PE+7lDNG9QuOk6s503agq28OY0v1n3FX68WaHLrHtu5lqDXSTjmvx1YcWsh8PYwBOTd96UO79JFyl2utj7XuYgo6jz76yO6BB56616CzqXWpz4dcJ1U37y1jiDrV96H8tcm4KUPGXNXSfDK2fbSdv5pv3t/pU8wr80VO3YwznB3nvkmvf3H0euCvkr7uda/b/3pGfkUPx2d/7uftf6Wjv97xovH+3X1XFzA3EzeV59xE3iTCwgd1oN5cjjmeetqLejW2cENCfTsJqWsOnHcfoMr4yHl580O9ebHJvKpcayOMm7cYv9aUfg/6skar3E6jkz7VpeWo87J/NS/6Ml9z8BwyB6j9nhsHzA8yftVJjJl1Xs2z80H/Kq7UPuLVddrdI2nHgX6iDXQ5J8ZJujVU8+rqsiJj4PMYfbCe2GSftlWP87w38wD1AJkP5Kxj1kyqjK+M361tqHbarHQga4y+urSwmoswlnloJ1xX18pKx9j1h+aVvpgX41XXvM0v6wHqg2Ppo453140WjANZoyobP+2VYaUvea221oBz6WQw32Pup4ylnXBtH3zweU/7DS/VBvAvW7Gg6uqTo3tObM2D8Zp/teFcOv2tWnbPvUQfHoCeINNf/Tk/SfuUwXyHs+fcN+n5F0ePoX4n3c35W970g9eM/bW/9N/sN+n/2Vf98ZOeiwNfd7n88+bJ2bU/heY51JsBmT4WPTcBC185x7mRoN4soA5txq791Q7Uwb++1fMmBvQqOS9QTh+SeXUymKs5OY4vzsGxfNNh/tLFz9xqjWVLhzb11QXkOhdQrvMCZVqxz7jG2+qHzDvpcun80lpn5w2cH/KRsqiX83NTKbkG8hxyrhk/P+QgbdCt9TA+RyfXmKyhLq/Veun8HnufKuvXGNmX6M9+8pKMnXp5ZB2zZjm31TwhawVezy27jJNjtcagbtan8+tcpdpBzbXzXckcO/0qm9dKd1VH9XOsy7XmAl2s1fVTTlZxVtcPspZbawBWcoKPrXhS14gtz32+k56/3UXSxvhdLMYP1TDJeWtH30ofav6gDWQOUPXRUzdlyHyyH9Kvcp1btUl/1Tbl/IzFhh9wh7Pn3Dfpbs6v9zvp/+g7vnv/KxrvfuijT3qu8OEf8Yt3n/EZn7H/S6YX7WsvfN3lyd29J2dXqDeW5240XPjADcKip0+ZG6KOQ3fzgDeZdPG2bPVv3KoPKQsxuPF5ABgzfSSOdzLkHFLGj+foOqe0O+atE4e+nK8coyPoOOecex2zL+fSyeYLGbdbA3VuWfek5qGMXY0n9Gd8qH44ttaIOqBvzvP6SOpC2pkDfcbXR+I4/Zkn5Nw6mVxWMe1Hhw+jbn1B9asPdY7RZxyZGN1/6YLunqp+067qW6e8jsbNHLrYkj7UW9mpB+ZpLmAOVcaXpF99gDorO6C/Ww+ZF5iT7cpnlc1LfZ9JkOOJuvoHz+u1WY3BKpeVDJ0vDuadutbZeoBxIe2x6fS3ng+0xNt6Xov5MmYOnPvbXRxLO/TUNVadG9AvqZNyos+0q/4rmYuscgD1t+on6OX8V37Nj/FDuUK1lWqb8Yaz5dw36W7Oj/1Oer4tf8Mb3rD75m/6ht2v/ORftfugB6/d9MILX/jCffvGN75x314UeJP+7N1797KLN2+clHk41RvCc1plbog6Lt2NpC0x8ubFT/pd2UrGhU7u5pQfUumj6q5kciYPPgCUzUvZc+cE2X9MrvpOHOPhCOlT1KEFcsj/VG4/ZJ++cl7dHM3Xc8g60m8M+yDr3uWobsqAnfGNmXJS51h9KWetc45A2+lVubs+xPOtTeYhjrMOHXcuq7orr2JK9ndzrn6TY/VpPVZkza0Z5HVMOn37tE27zgd69fr4g0TnI8n4UHPRn/cc6OtQPfPaYa9d1c/5Op592AMyPg/lssoL8LsaNxatcsaCem1Sr5tHF2sl64u2xtFfwjh0OWOf1x+qvjEkx82ZY6WTMfOeBnz/9Jv/5e6lL/+oa+JUu1wXifr0H6qhvvRb9WlTH6qNuSSZQ7WHWj/v8cqqzuheT65p08mVjD2cHdeulnPgmM356tcu3vfsJ/ZfaXni8f4nNO3e856L9RNcfZPe3TiQsjcNBzexN0vCGDdHjmlDPzeP58INXW9eOWQrOa5sC3VO6BEz0e9q/lXGnjkqZ004an1qn3PJ3ME4nFMbHvrVLxgX0nfVqTBurMR8AJ1ujqLuyg9zIofuuuhzlWP6rHbJoXpju/Jlf8auc4SVnnQ2ScbM3IRxD0BHn53shtOY9K9qoN+cM4e+urkeo7+qe8qCPWAPnDufqgvGZN0n+jkUG4wFyNrSHrNmTrtGsO/6sdef46nXxQdturHT5FLzqvFocy0l5JDXoIsFmSuknvOHmstpryPoK20h46RNzVmdlT593bWvPg6tD/o9yJF83/Wud55oPBX/2Pqmr9TragjmY4zu82NlAzWXzAFq/SXrgn3GShhPXf3eSK6Mu5ZTrhBzOHvOfZP+j/7B39v/Q0/aFfwlUv9B6Bd8wRec9F7+yfDJu3fvfvdju0/5lE856bmW9773ytvq+++/eN+FcvGzcLlpuFlWcoUbwJul3ki+Scgx0MZz8WbKG1ZfPBCg2jpefSt7k9J3aD7Vl3qH6gKc6y9zAOX0zYOoxs+56S99Ind+q5+VjnrO09yZB332W2tIu5Sh07ePFuo1sA9Zna0caZVdT9pJ+oasbeeHNnMwbl7bRLutNbCyoeWAzLPLSZl64k+fnex5kjXIOKt7p/OT+RzSr3VfxceeY1WrTjdzQJ9zcCyfLdDJ5uuRrHI3LuT89dHNwZy6uSXOBapejd/N0xjd+qswlrG24oFzFuPTmvcqlmRNazz91RqtrgOkLw7tM6+ch+tc/dV6M5eqn3r6RreOSadTYzIGnHMtn/vcD9yf2w/4OZQrrfKxNURHPXSQOz1Imy6XLo/TfL5XvfSRP6TAjeSaOacsxK2+h7PjqZ3ABeU5z3lg9w+/4x+fnF3LvfdeeVt90d6k5z8cZeFyg7CQj/lpVLwZ6o1EfzcG9HNz5c2d8ABlDMxL0hY63xX69LGaDzr5wDBuV4tDdTFHHiLmY57mgo86f8Y4nH+tTfVba6h96nBAV1Pssn72VzIfjs5P9nWYB5gXh7l2vgU5bSo53618Uq6+Vm9wALusV8pbNpAxlDOPKnf1h+4a0IJzyTpA9acebF1ToE/906zHGl+6uekfqq4QsxvT1iNjc8ixuUPGgfRlHs6B86xZtw5qzG4sY+Tc/GEzx4idOXT51BgpwyoeqAuOAf2rWAl+qGmNDWmfaNOtocxL+8zL8eo79WUrl26NZPytNdTlaCzHgHn5Jp1+fdGe9jOpgl6t4SrfrVrnHMB5AP2Anjkhg2OivyqnHjL93XyAsa1cYfXMXsmAjJ/h7Lnwm3R4wUNP/5fb4D8Y/eiPvvYfld5q+LrL5Y/gaxa+LaQs3eLnBkKXxa8syB4JN6c3bfXHjZcPhUrapu+a2zGkDX71x5E+jAEpS/oBc+Q8fYI6x8w/fUL67WoIqSOpax60XjPbjrSF9GOM7Mt55tyyjw8+qL5zc1LXU/Wn3M0380k/1VfmwVjmkj5sq8yxslE3c4Vac/S6+qfd6hqk36xDxpdj/GUu1gddNhKgvb5cq+kT2fg5x0R7WuhqAulj5QsydpLz7HLPDYcHqOP6yDHJmnF4DjUmaN/lU+dG3qJ/ZUkZuvhwTDxRt8Zc6aVP5Hx2Qd7PK/La1etIm7bVV+e764OcW7K1RjKnbjzXR+IcOIC65Jt09LH3PNE3LbHR9Xqt6GoI+pFOz3HidPOAHDMnsN9zfHU1Ume17tJOtnIF8zBHOK08nB0XepP+kpe8ZPe8D3jW7p/+X9+7e+KJJ056n+Kn/tVbd7/q419y+Sa98rvYLxq58Lmh6k2WMtQFz83CuDKs/CTeqN0N5NjKlhudGz79A/bd2ErWpiMfJOjbHusH+/RhTcxvNf+063LL8ZVe6gjnxM7cseOa5ducnJ9oa94czMfzreuRce0zFqR95qCedYOcZ8rmlDJH+oHqK/MAbHKe5p21yLUNh2zoczMIxs2aZy7YdfOtcSDHgX6OzPFYfxzoosOmonvDl/bI2nFAyvqqPgCdQzWB9HHsGu36ocu95rZaH9019xDk1fXp7Lr5d9TYtBxdPhm/XttD8dTj6NZPjQXOD5DTBwcx0r76EvWrDOh7XWGV20oGfXLUeoLx6nwAvdV4zs8cM5Z2jOV30rHRlzr6gYyjrtdLPdok49mmH6l6yqs17rxqvO46QMaseec5rOwk80s5yXV+SLYdzp4LvUmHf/O3ffH+t7f80A/90EnPFfjNL3/3b3/z7t/6HV+8u/vuK3+G/6Lg111y4XMD1ZtMlNF3wWtLu+XHNyrgjUkLefNUn6CftFn55zhmDqCsHWRuyjyMGPdhAsf6wVbMyxYdbercwTH7tnLr9DK2ZG3U71DHeJB5e87GifP0C3k94FDc9AVbtlkrdVZzTh04lAeoU+dlLbb6tsbNhYO+pOaivfqScRyrtpA5wDH+YMun/XWtYntM7UFd2kM1kdWYc9If5Lzt58iclTvSHl2pfnOu+M85WU/nRbyqB+jWWkrnE+hTv84TMn7Kjh0TDzIm1Fgcx9YUDvmqsvV1nt1/sZFDcvWdb/tzrJuPMvkg1zGgxV/mCNnmm3RtPUBd88qxlGU1t5QzDnQ6uY6zrurBMf2Qz/xaI8hckm7Oh3JNyCM/h7bkmvNwdvRX5wLxqj/0+/a/4eWVv++3XPP70D/pkz5p94mf+Im7L/+K//ik52LB112AhSzcKNxg3GhV5kCXhc6CB87z5pW0Q1c9yBtFX95EiTGh3lz0G6ParfLvZPI6lBvj9mNbfXEAD5L0080nW9B36urnmNzkUGwxd3X1Tws5n4wHOSae01qTGpvc6IcaL6m+xbjY5Nz0BfTzYajvVZzuulcd46Xsm0h0t/rAttZPGF/FNz/oxjMO5FpJ0KlrtNPd8lfj01r/br2lfieru6LaWAfXK32QOVd/jnltwPyqnPEkfScZL+dqH+O5zqXmIdhz3q1ZUJe+GhuyL6HfsZTxwzP2UDzBLtcPpE7mknJdY+ZwyJekL9Dew770t5JB35znRhK6uNapysB5zQ/0yUF85m8M+3yTnr6yTubMsXUPqgM1f8kctYeVjnR+Yavfenc1ytxTlrRPHehy7XyIOcJK7u7P4Wy48Jt0/mjR29/+9t1P/PS795v1u+66a3/82s/5dbt/9s/+2e6B+559onmx8OaAXPzcENwYnKcMLPpc+OANtfIh6unDI3WEPvxxY6VuQgweotU++7dk84HMjbrw8DBeF1/7jJ0+Uxcda6M+MXJuSc0tP1xqbnJsbGTf+ohy6nVxOl8p65fzZFXrLV8pUyewBom+7N+KA9eTC/GxoyZJ7Ut9czWvHIOarzFrfl570Aetcl7L1RjnkL6rrnlt1SfXQ+rRZ4zOFlK3m49UG8Zq3nU9dP6wod91LOpK+sUufVS5+so5QVdf+vJeUleZQxtIn9rhK2sv6QPM1/okabuKlzrgfPDreM5FUl5dq0O+Or/OhzZlSH8r2Tj6ZEzsr3FtIWXQJtnKC2i5D7vf7oKe5A9z+hDlrMWqdsqJ9lVX8Oe1ot8jx7RJOyDX/AyuOlvzgDrXQ591XS1SBttKjTWcHXe9n997ODwNfhC43tK87dH37t7x6OMnZ0+RN0QHN/I73/Xu/WJP3bwxtnx09tkH3JzK6uDf/kM5ngZj86AB4hzK69j5Qc4FsLVWh+bW5Qar+IdiS2ev76TLb4vTzKeLt+KQ38oqzvXmkvGRa1vr3sXpxqTmmLkB41v1N5dKFwsO6RqPD0zyoGWjsfKX+R6SnUOdj77VM7Y1APN2vumj85f6kDY5F/WOIe22YB7UDKpN1sKxrBVkTjXXOoda29TvYkGNt9JLjq0nVN1Kjm/57Vj5rBya0yrHWs/MZSWDfrB/wxveuPusT/3l+/OO//BVf2z3xV/6ldfEwl+ud8foM9ck69XJlTpfznMOaVdrwFjqdzFW46t5rHSg5pqkjwTdmnfmY34f87IP3o9dDzey57qTefprgeFMYMHyk6pt3hAs6O6n1fxplD5uCsDWAzp7dKt99QnKmQ9Uuy7GSjbPirHRq6zy2vK9NRfnk7JU34CvfLB1dslW7HqNa+767tYCrHx1fmE1H/o5R3/L16E8jrkGGaf6OU0uCbFAO8i6V/3VWOZNvwdkbpI+MjdtlGvexqFVPjRHIB55sP5oOx1RD/9bsnOAnE/61kb9Lm9Jf/kGTp2URZusyeq6d3JiXpmj65D8u/iQtdAm5wvadvZ1Dumv6nexoMaret2cunxWNvVagWO0QE1z/Sc5n7wO6qUvZfOUQ3Pq4kLawSG5+sH+JS958e4Lf9e/d9JzLfuvxn7pv7/PBV3WO/PzXhHzoM8YWQtZyTlX0EeSc0iyBoyZl321nt24cbt5dPFy/lXHOHndunWReUPmY42Hs2fepC84izfpeSMANwOLPxc6Otwc+WYob6ZqU+0lY2kP9hPDn6aV8bOyOw01z/QJxuve4GVeXfzqC9Kmcszcqk/Hujqv5mJsbdHLGtgnqbei+koZv1k/x6HzueVLeQVzdD3CId2u3slWfM5rzTqfqzjZD6v6H0PmVuOt6oZerdVKdwttVuvuGMyZ9bGqlxDvUK7pr7Llv6sJGPOQnNcwqXFStxuD2p+s5qAtZP8h/a1YkH5Fm2NykVWcVd1X1Lw5P7b2spVf+kt755rrdCWbS/rR78e+/EP2Ywlv0V/xpf9hmy92h+bRja9yAfUPzbX2g2Or53oF+608YSseHDsXOBSj5ouvi/ImnV8s8qY3vWn/V+n5Y5m3M9f+eDycGSxYFnMlbwhvAn5CRV8c8wbwTRakPTb1J3/QPvvzJ+78iTh/ak9/p5Gl84nMBwc3NK05SOaFzxqjI23AOLR1bl4DfeszbUQ7SB/oqN/NgXyJg2/tau4ZW/RZc6wy4LerlTrH+kpZtHVOxOmuQeopWw+oY8fMC2rNumtY+4gB2Q/Vl5hTl59kbjXeaj12tUo/UuPbJ/qoc6x2Xd5izuh19Up78kM+dJ/lB7H2nf/MqasJHCODfunv/CSrOXY2mT+sarSKeUg/oX+VU+d/VU90VjaQcfCRuslWPsmh2lc/qdPFrfWCnOsxMuRnIC1j9W06b9HZoEPmCciQ/creDznPpOaiXPXtX821xs3PReYH5tHVFZt6PUB/tF285Ji5mIOkf9AH56mbfm81X/5Fv2n3WZ/1WbvP/uzPPum5femf9sMNw4JlMScuaG84Fz0tN2vtB25Q/WjvTcGNzQ2uDUcnS9oq+3CAzPm0cvqmX1JWRz3JPvJNv908AH3rBcZBT1/6SR/KjuuHOldZHVFfvfRT65CxVjKkrfChoS7oUzlRFzpfkP628hD609dKT9mc6pj2q/jg3Oq80mfWFjIO0F+v4aE5pt+ak3Q5VF1axg/dh5Dx6cs8jdHNscroZYwEe32sfDmXlFf+oK51QK+rDzDG8yz7kmPXA31bOaoH5gXI3fVwLNHH6jlYWcWrOUKnw/jKf/rOcW2OmVP1v9KrMcBacFQ/wtgxnxmgL8jYYD9syd7X6ffZu/fuW96aJ3/oP/7qE+kKxnQugM8uf+tEm7JkLsqpQx8HrOaa/cj20+b88Jl5IXPt3dDXPEHf9NV49CWMr+aiz5RBX4KdcUB/F4VH3vdh+/Z5z+v/EObtxGzSzwH+4ih0C56Wm89FTx8LHLr+7k0WH3KAPjdK3kA8gLx50lfmoD3gg5uLWHnTnVbWt37Sp3rqZC4pk1fqy2oePLCcL4cxGavzyRopO27d8Zty9Zv+8lplv7mp38WFzlbSt3VJyCfXwFYeOSdZ5aF9ypJ63bVVPlQrUDY/c63zTP9iX+03xtZ8senyg1VOh3SzDl1MyPj6om917dTLXLu8ta05d/l39ilD9Sc1T32l/6SeQ+Z27HrofHe6Obc8uhiOgXFoyYl+fSWpV+N1+hkrde1TlvQP2OS9oA3HoTmlLFv5iDkYt/Mj1Krzk3I3p6xTjtfYCbHyMxCe3N27b5/34EO7T//Mz93Lv/SXf9zu9/z+P7CXM7d6QJc/bVfbnIPrlnNlyHms6mv8PFbkeKff5cm4scnHHOjrWM0FVv7NAZt6vfDBdboovOvRt51Itz9PvyuGG8Y/ZgTdgmeRu+DpY4FD3uTZ740H2S/4Qgdbx/KmqjmkPTHrWy9uvnzwKEs3DvqmL+OoD+ZCbse8vdqaB/3aGNM3DulLH9YofUr2pVznkuhvVQfImJ2ctrRAyxg6NTZjtW8rD1nFR+bYuubqcNBn/LSBHKtgW2Oe5o3WSk70q1zjod/ll3ZZs2N0c5z+rRpLnitv1bLLO33UnKXad2/haGHlTxxPX3mfpb9OhvSLr2PWQ6IepK9OF7prsZUT/elrpZc6NbY5midzWtX9GP+pDzkX4xx778IqH1jFTdmxvPZdfFjNCcjnmOe/mL/4+fqHv/q1+/aL/+BX7OcF1Vd3b9XPCCBG1hZyDkC/Y8rHzqPLw3pVWaqNMesaYJzYeV/Sh4xu9QvaKqfP6h/MBeo88e3YReChD7ryJv2RRx7Zt7cz8w9HF9zoPxz9jF/9Kbt//v++/qRnGIZhGIbhzuXFL37x/h9tXg9n+Q9H+WOXP/ADP3BD+VwUZpO+4EY36X7lhZ9s+al02mmnnXbaaac9uxY+79d+6u6v/I3/dffCF37o0XbTnk/7kR/21H9VOC1nuUn/tf/65+++4x/+/Ttikz5fdzknWLQc8MTjV/4z0LTTTjvttNNOe/0tn6t83YX2f/lb37j7kX/+/+z+m//qT+7H4Fg/055PexF49zvfcSI9xfd+7/fuXv3qV+9+22//wt1rX/va/fntwLxJX3Cjb9IffvRdV/+ByzAMwzAMZwffkeYtOpt0+M7v+ee7D3/RR+y/H+33qIebAzXnO+wX5fek+yadX8v59re/fb8x/+Zv+oaT0ad4xStesXvNa16z/33qF5V5k35OvH93337hwrTTTjvttNNOe3atb9Hlr37d6/Ybdzfox/qZ9sZbal7/ke2tJN+kf+onvPTqBv23/rYv2H32537eXobXve51u6/5mq85ObuYzJv0BTf6Jp2/OMpPli5cZP6l9TAMwzAM1099iy6+TR9uHm7WL+KbdGFz/k3f+PUnZ1f+IulLX/rSvezb9ovKvEk/J/hHFPmTJTKLmcNfhzTyyCOPPPLII59Orm/Rhbfp6lSbkc9Hlov0Jv3ht/3MiXTlKy25QYeXvOQlu6/8yq/cy+94xzt2r3/9xf1NfPMmfcGN/FT32KUndz/x5nfsf3/qO9/17mvepl+khTwMwzAMtxu/8d/4tHaTDvnd9OH84asu1Poifye94xu+4Rt2X/iFX7iXv/M7v3P3mZ/5mXv5ojFv0s+Bd1/epLMZ51+f56acTTsLmoMFzdv2kUceeeSRRx75sMzxw//8B3cP3Hf37lM+9dfsD/jET/zEq+ev/4Hvv7pB1/a0cUY+Xgbai/QC0u+kP+95z9u3HR/90R99Iu12P/qjP3oiXTzmTfqCs3iT7nfQ+f4cb9Q99wHCwh555JFHHnnkkbdl8JwNonzyx750941/+zt2L3nJi/fnvBzrbIX+9Dfy9cnAZj2/KXDR3qS/+EUftHvDT731pPdavuu7vmv3WZ/1WXv5L/7Fv7j/WsxFZN6knwO+SXch8+dz2aB7zkJ3sY888sgjjzzyyNsyeM5nqn+HBB544Dn7Po5q6+euOA4jX+F6ZI58e36R3qRf/U763R94pT3A/ArGZyD8sYVc1JDnvF3f+kcYMz7jMz7jMz7jM37tuG1+nj722LtPpKfGq17tn/bGWuC/aPjVF9qLwkMf9GEn0nE8/PDDJ9IV+O0vvNnnjx/damaTfk74e9JXDxp+4u9+ClVnxmd8xmdcZnzG4Zk+Drk5R0+w43CcTaN9+GUjSSuM88OAetiN3vF6QP35lkC9Xrea/O0u1wv/6PS+++47Obt1zCb9HPigB++9vLQv7eXVgwZY/Cx8bgZkqA+jGb814z6cOLyWkONwUceBsYtaX5jxGZ/xGT92XB3w+cdmMlGH8fSFnBtJx6dvu4962ucvwrAvcVN/Ubj6Jv2Jd15pD7D6usulS099tt4qZpN+Tjy5u/fqg4XFy8PG88SbgUXveOrM+K0ZTx2vJbAhdpzrysPpIo7LRa2vzPjFGQfXD+fP3r33wo5LjtPvITN+54yDrTr5vXQ+YxOej27yHetiTF/fB75Br+NVz+t0UTjtd9Lr113g/U++Z/O3w9wsZpN+zvBQYfGyiJFZ9D5oJBc/m66qM+M3bxyqji06bIiBPq+rXLRxoZ8DbnV9Z/zWjkPqcLCJAXRcPynLRRo/r/o8k8e7MXCjC7cqP6Bf2fHcmOezEHg++vbXMX7w05Yf+JA57Me/sv2QOnBetmANmBvtrezL2jlu7spA6xq5CJz2O+mVBx64PO8n7to98sgjJz23jtmknxMsYBY1Nx+Hi5lFD6vFzg2xpTPj5zfO9YKq40NLXfC6Jo7BrR7ngck5h7nDrazvjN/a8W59g3+/AdDNFvzwrWP6hZtpD7O+z37cDW2OQdrcqvyAfmXXS75JdwwYz8MxfsjTVpnjUP8xOqv+Y3TsB2tgS+63oo/PPXMD+0WZ64Suv2L6InDa76TXr7s89thju8fe/e4L8SZ9fk/6ghv9nZ0/9uZ37Vs+GPkd6f710fxVjJW8IVY6gN6Mn/04/UnVYdzr6QOKzcJFlSs5v1tRX5nxWzNOf+Jazr/fsFpLfAiv1n1yXvaysoOc362or9yu4/RDjtlXuVn5GT+fu47T0u/vSX/Riz7yGlvXij5E22wh9Y8d29Lp+o6xo73I5HPDOQDzuCi/J/3/+Pb/afdP/um/3G++t37/ub+95Yu/+It3L3nJS/YyvOUtb9n9sl/2y3Zf8iVfsnvNa15z0ntrmDfp50S+GWAx+5bCm5CDRe1Pq96YjPuTadVRnvHzGa/Qlwes3ibARZKd12p+zuk09Znx23u84rMpP2i7tYTtat3r3/a87M1/ZVfnp02OK1/U63OrxwXZA/xMor3Zn09S149j3XfSHVO/5g7IxKOV1Ad18Lsa27KH67Fz7Fa1h/BaoE+ta70vAv/a5/zO3ate9aqDf6CIDThHbtCBN+nveMc75k36ReZGf6r78Tf//DUPmYo3hDqcc/O60OlPnbyB0q83SpVlxtfjnX5S395Ivkm4SLL/tYaWD6+uFq4xxjiHlCHtskZdvWb84o53+h3osS66tUSfHLPOzsP+GDtwHrO+n2JrvNO31n4O5WdSgh32VYZVjC7eofEV6pKvb9I//EUfcTL6FOhtoQ/XWqef+VW27K/XDrLut0I292Mhf2wvypv0G2XepD8DYMGycL35aPlJmRsTuAnqjeCNYn/qKHsueV7HYMbX452+14k2397YB9l/UWQe9PbRdnMDbZhPvq2i9UjyvI7BjF/c8U4/17frGVgXrvlcS6mTY7Y1xnnY177OThiHWd9X2Brv9K2xKKPLZ1pX05Q9lzyvY3BonOuf6zWfw5Bv0v1sBXXN19xrC7nWOl1ZjVV7D7keu+4awM2Su5p3cu5n0s/tzkV6kz6b9HMiFyyLGejjxgQWtwse6k1ax+GYvmmPbzmsnTJ47ejrHppgP1wEWWofc5D8kMi1KLO+7qyWY2t9A32sGQ9Bv1tfwNghzsq++qjn6evQ+oZZ49e2HLUe1Nhaeg0YrzU9ppZwPfXlwAZyvSq7DshT6vU2X3wp2/pDn3TzrDpbY9pLzvk0dsB51v9mybZAvrIlOxfmq+2dAL/dhT9mNL/d5Q7GRc9N4MJGFha3/dzMLPKkjnOjH9NHTFohD28g9Mlh9J66FtYOlBnDXhta+rTBL/20HPZdlDZzsw7AWvFDwrkks77uHD3GYbW+cxx/HPjBFqr/1AHkrfYs7KEbT3/WAw6tb5g1fq0e1HqANfEcXfXlmFp2fUC/eUDtJ3dtiGtfzWP1Jj31qtxBXHIwxgrGzDnR3rGc85a/tFNmHtizlum7WTLtquYrWdL2TmC+k34bcN7fSRduEtjS5ab1YYSeNpJ9h8blmdB3aEyor98NhLRJPfp5QOXDyHHH8ru0t6Jv9aDMeQB2gC02dZ4JY/alLNN3c/sO6SMndX3nuXJ+OEP13+Ha2ZK3OGTvnDg/zfquc0p/cqh+W+Nyu/chS+plv2RNV+OHPqMg9bbocqt9nONv6zvpXd7ZB7n21DFmXZfdPZM6kHmqe4ydpP3NxJoqA+crOaGf+dwp30l/wxvesPukT/qk/Ua98tmf+3m7f/QP/t7J2fkzb9LPCRasC5q2/rSsjB4/lSapA/yUip5wg3Boi27+ZOu45/BM64OsS45TNx6Y4lsA6131Ex+qOY4dMmN8AOnLvur/PPuAuK6NXCPoc2RdtMlxbfRDrZA5QNlzmL6b0werdd3pQl0vuVbquhF9eeSa4ADtoJNv1N55ssHxvoL0Z+v6hZwTpL/TrPHUuRP78hlInwdQo1VNs47KjKdffRk79eyrbeon+ko8zw1/zke6vFfrI2MoV71D9jVPdFm/h+yyBgl2N6OFjJ1zWcmCD/pybrc7/LaXt7/97fsfGupxMzfoMJv0cyIXLAuYN0FSb1RuXmCx8yCB1KGfc/zkzUUfDykeAvoAxvTFja9PHmLPpL6srVi32u/DRz9ZQ9rU4RD0ecBCjmcekuNyln0ps978ULB1LOeffeI4865rS27kukzfjfXl9RP1unULuTagyvrv7GlrTG1Y+ylnn1yPPaQNOh7Qre+k+ofU0Y7cujXe5Xyn9nVrB9BJVnWU6tdzf8DCPnVss/7VfmtNAtdYtAPHocu7rg/k9A+pU9dStefIOla27NB33sg5Z/SEfvPUjnHiXq8e44eeHatxZUBO38PZMV93WXCj/+nlh37irVc/SIQFbV/KwkIXbp6Ozq4jfYk3rO2d3MdD6lCNAF0eLjwksbWvoo5yXoPMIbFfff5TZ73+Z9UHziX7TsOxa0uIt3UNpu/s+7bWtTZJXbeH5Mox68n8JPO4XvucJ+fH+OkwF/2fdo0/U8hr1q2xeg1uRh0zp6SulU/7xJftv+7ykpe8+Jp8yHH1zJZcH8roYpdxIHWl9lUfK3l1H2u/IvOUG+mDVX/WoRvvePmLPuBEOj0X6esuF4l5k35OdG+37Us54WbwgPqTOS03jXZbPwGnr/SZ7Z3cZ42yLp0MPkAFex6iPKT0zwNe8hqAOhX9qG9L7LPuy7nQ17G1XvTLW69OJ2Vxzjn/6TvfPq/t6nrkugWuqWzJ6NfDsdV6EnWTG7Hn/DTrGr2uHoCv9M99fMwafybISa6brj7gNaAPeVVHqZ9f0H2m2XLkmNeuPotBHcYk1wfj5Cir9ZM+bdNO8Od4kvbQ+agyOuTS1Ycx51tbfafOaftO4zPzzrFOBtvhbJlN+jnR3XySsqCrjbL/mRA454ZIW2707mFQ/fAwEPru5LajqxEoU9N6TaytfjnnIVSvAaBTa5526md7ln3A5iPHJPPZWi/Oi6PTgdR3rjDtzWkr9XpArluvZ67blQzY4MvnhfaJOrRVFvzi43rtk25dVzvn0a1P5Hz+eT926xqeSbJ1grpurDuo7zltHYPqN583qz6uG61UfcjcxPh8RkpeZ3Bd2Cb4MoZyrln9O6Y9vtKmk42Hj04W5sXLOjA+2O+8u/lfb9+xPmsdHFvJzMu5DGfLtat6ODNYsCzc1Y1cZXDhc2P45tabhDFuiArjxOEBkLqiXcZB9mEDd1I/sv1Q66NsC50doG9NGeOabr1lkpQT/Z91S455jWmVIfOp9QDXiFSdTl+Iw5i5GHP6z74f2X6uRXc9IMfQ9/quZDYHxrEPMqYyZDzlVbzT2JsHuvYde78Rzxy6sQq6qzX+TJAh6wT0O2bN7OPorg/Hyi966vh5Zh94bdRXF7ZyA3MgttTrrH83vLC1hrbWGvb0VRsgL+cHqW/slDu0qeSckfEjtSZwTJ9y1QN167WGzgcgW7vh7JnvpC84i++k5w19DLnwT4s3kz64YXhweOPnzfZMgA8N6m89mH+tb1cT7aqcfjoYrzUH9Fc+z0PuqPMG59GNSepU/ZzrqibD+VCv/WrN1f4tuvWwuq7odGu9cj322mT+nZ9DORyTH+S8n2lyQn9dV6s1pm7tA/1S/+qLsWOvS9LFE8ZW30kHxnOu5gm1BsDmFB8rPfOv/x4IrmduK8yb1rkT0zrav7peK7nLueo6X2twyIegP99JP3vmTfo54aJmweex9ZaDG8YbI8mfajk6Pf0DY8TPG+lQ7NtVri1jYP3FfqFG9OUBaYesX1E343HUmnudoPqUs5RrXpm3udCK+tC9NYHUSbnONWsx8tnJtWUM6rVfrbnug3TrWhMnx+iruXHk9TcmbcrH2lcYhxw/rQ9gI9G9GTU30d8zSc7rbF2AegI61E+6Ote+jAHVnjFira5Zty7tg2qnHnMRx52TOimbJ0cXUx/q1FqZR30rzljtS/8cp5EBGYjJWsa/+dgvx8qZH9TrlDB/WPmouXN/DmfPvElfcB6/3UW8CbkJOpnF7o2RcqXqreJViOMNeLvL4DkPxVW9s1bVttaOB0+eowNpB6t+cAwY16dvYLrf1nKjciVz4OGujnOmHuaubl1Tp1lf+Eh/I9+YDJ7TgmPddVcH0kdFvdW1Bs8zLzCXXA8ZV7bsK/o7tNa2fED6qXGTGmsVV393St+hutS6bj1bKjUGthnvGMwp/di38sN49ya9m59+qwy1PknmgHw9c7oe8pmdZD6rz4KVnHiNmHsdJ0b2dz66uc2b9LNn3qSfEyx+FjQLmQWeC5qbyxu9ypAPD2X1Ur/qHfPmCLSH210Gz6l39/YCso6wekuDTZ4DNjUm8BDlQZaxaEEb7XzA6TvfumS8G5ET8sgc0DFHwC4xz+yvcvpwnok+YOQr3IgMnmc/te+uOzoc9e1fvV76qtdXe8+T9AsZ3zHuhS17jkP3J6TvZHW/VT/mAIdy6+JWf3dKX1Lr4rXFBmj147njnQzGoK/Gg9WbZcnrg4w++UHVtyVvMVfBhwdkTsbw4PkMq7w4aj6p29kBdrXOx8r5Pe+sHTocyMzDa31ITuyHHKffmId8ZK62w9kzm/RzggXL4gZvhnpDc+OJfSx2Fr8L3xsydbCzPw8wFqziKsPt3lZ4kGQNePjWGkHqZX/VA2J1NayxVvXmevmAq76hxpfTysST7E9yzuqYZ7f2UpbVPJVh2rNtgWuR936CntfgmHXZXWPRf42xumfAMXyv7GGVG7rdWktWtpB+Kl1u3fzTNv1hB/ksuR37OJKsS9Y2nwWJ49DJGceauuZgdf1yXWoPW9dbHTaykp+njuMz51OvdeZmX5cXMrEYM0/o8lvZQc7pGJnrB9mHz/ocOEYW8so61HHjbPkQ8vKFk3bD2TKb9HMiF7oLPBcxMgvbG7n2KQM3ZNUB+9EHY3HzcROu4gJj2KMn+PLByrg380XUA/SQaRN8oIettep00eMgjmOppwy1hthBxtKfD1bI65WYx1m33Twkc00dME/6OlmcIzAmyo4Bvk97XUev10Mnr4t9ypDXA7/Y4g+Zo1uX2PshS/zqlzbRV+qKMY/xUXNDx5xgZZt2yrawFZMDMlbKoq76gP/Ugdupr7tekPO0rfUA9br6O5aw1nJzKtUO0LG/5lj1tVGHMTFnxjjwBfVa+4ZaH+pBxsjczTHHlbv5SNrJsTJHXgfH8bl1XVf3sTKkj8S4xjrmmQDoUYPh7JnvpC84r++ks8izPxe8N0aHelXHfm6Qzq/6Na6kXuYC9m2NJbeqD5i/D8eUodps6a7Ax6qGoH/0YKveNT56+S/3tT2mr/rJN0viWLfm+IDp5tNh7umrmyd65JdxwL6tsWT6ru1DhqojjifVdrUuJX3n2qDfdVvzWPXD1vqquSXpo/NfbVJftOvkVQ3wU8fTN3GNb//t0Aeen7Yu2KnXxUp55aOSdon9GQ+29A99J30Vo6PmX+8XbLs51vyOsbPvmHW5hbH1RQ72rehqsorf+cpYgt58J/3smTfp5wQLuFvstZ9F7k/ijHNwg9cbA716Y4F9nV/HuriSesoc5EQeSY7LrejLc/uYnyDX8WN1Pbwmnm/VENQDdHk7mW9sOKxnjY9P+zLOMX3iuHlkPo5Jzo1+c6OV7g0KpC9zSN/5RiXzuMjrCS5y32q8rtG8ZuIY0J//FqJjtTYg1xvot/Yfs74gc6u559gqrmCj/squyjUv5W7c+QB9ub4BHeRc+xdFT11Q3qrLoWcWfemXNu9tayf6oE3SLse6HCFjgjb4kIyr/iqG1zRlyPyx8dz1CXWOYDxIO+RqV/ukjtOu5MS46Ws1R+XqE4xfqfZgLHOhtYbD2TKb9HOCBZsLmBuBhe4iT7gx8gbjp1n1tKVdyUA8HiSJOjVu56faZk76SL1b1Qc1Z+bGQQ3Q36qd4ytdfTp/+sEY0vlWTr28rsrGtoUup0N9nR8wH+aCvrZS5wZ5remva1I5fR3rGy7qerrofZDXM6m1rjWmP23rtQLHqw/PQZ95vbUj37oOtnzUvNSpuTtXfde4+oA65lw58v7p7iVjQs5T6CO3fCbTZ3x9IOccAJvkVugxnvVa1SOP9KWc+nl9wPiMoUOcRB+ZB3J+HWaVo2ijjmP5Xw7r/QFZm8ybfn5gxVfqZExkz1c6NS/kmnvaoQPZ183XcejkVcz0Yc7odLIop61+aSHtjUPeYF/6HM6O+brLghv9Ty8/9uZ37R8Ifj0B8iaoqMuDA1j43ASnWfj6r7ar/mSVG3nxIGTcm5EWbkVfNy+o+lvzTN1jrlHVWfnmQZnXUPLaZj2TzEkO9SHXsVV9jkHfgG3Ne1UD5WPi5fzNv5vT9F1pr+d66iupttU3rPxvXfua51aOXV6QNupUv7DKt+Znf/WlXMl1fixbNpkPOa/8npce47V2ifXoaiF1frWWK9vVmPZJ6hEvN9yO5dyl2n3yx750/3WXD3/RR5z0Pp3Mv6PGsXY1VqdT6WJoyw9Qq7pWtEE35VUt6e/y7uh8r+a18oVdXjPsPuZlH3xydnrm6y49T//RczgT+CmUBexirwudG2r1k6qkLTeAPy2v5GQVd+VTurwcz/ZW9AEPuRwDcnUusjXPtM+3Cukz2XrzkL67awj0+1DOeib01f7ah988r/qwmkte107mgWs8bXPeqxqA8pZ/Wsj5Zzt9T++D1XrfqrXrcfVsQA9yrajT+cvnGKRd9VVtWVdinMyrxq35ruKmTq7N7E+9apNo71y63CvVJmGM+525uKnSZ8rU1eurrxvVy5yQAbvuGVhJnzk/jtTvbMWx9MWR8ZUT4nXr1TyA/vQPzFnq9TKHfLat+G//66/d/fd//k/vvvd7/vH+3HonmQts1bfimqjXqOZlzrR5DVLWpotpTll7a5CYT/oW5cyt+kFmLplD+hjOjvVTaLghWLAuchZxvWnUSfKmUObABl1uppWcaJdxs7/6BM5XeYl+blVL3jwYVrV0Llvz7KBOPGzSJ22CL/W2fDt2Gnjw1TlVWTiv19XW2Mestyqv6pNz0bc1SBm2/HfU/Ke9tqWuW+tdqsy1RDfl9FGvn/0r3+jWwzV2aA3UdUWc7K9xUz9jGYMj7xdxLDnNfWWczKWr/com+8W5mFetDf2pcxZ63QFsOlfzUQb9gHV3jvQfW1N0iSn4dQ4pC3ZsGms/4KvWOXMUbc0FjJX5pQzM6b967Vfv/ts/85rdN/z1r9v7zlol5pLrEZ2cU/WfaMPR1RLwBfSpCykzVuuY4/qAqpek7zovMEdIP15b+8gH2+HsmU36OcGCZYEDi7jeNJA3gzcprbL2qbeSJf1k3OqbG7LaHsoLtKUV50qLHrbnoUcfctbSNx4cYs7q5xg4Tgur66OO+jy4GdPukO8qr8b1K6tcqFO+jcl+fcLWeqOm6Fc56XKsvjlP2Vqs/Buj+sv8BbubsZ4uuh59yNdzLWmVofogTl0neS9Vf+ibE2Bb3wyubEH72g85J1E/80SGzFsd9c0P6vw6WXtIfXOxJnDIJvsr+ODoagPm79j16jmedQDyRKerAaQs2Lhxdjxl6GTrYExz/P+39y7Atq1VfefCRy4U2rwkYgt6EaIo8hBbEYw2YCCIhrQICEZtDXYJ0hqDL6BbA7EKsMpHKh3whdIJbXio2NomShQk2gaqbZSoJHa1vBQt30B8otj2/a27f4f/HXd8c6197j6wuGf8qmbNMb9vvOf3zT33OnvvI1mT+SqvqHHVZf2JNWedGWuVa/q41TUfcKN9Zz3min5+A4JuxoGV7db67Pbfyr7GdJ4zaF97D6mbfsnHT9clc8x43tscy1qGi+OGO3m4MFiwLGRxw7ColXOTQC7yai9sprrBVn4YcyPlQ6Xzfd68MsaVHCOvHIPsJQ/MVQ/Qd6ybT7J+ZEgdc/FIf1u+U96aT98cXS7Wrw4w7otSUn1wkKN+lLf6J51v46fc+TfnLd/oOJZ2V+NY3ifuDf8E/7fu8kG7Bz3g45b3kmfCs5751N21d7r17lPu/RG733rrr+99C/quhbqucg5fUH3nfVNHzEd/aev1IXvjo1v1gbGMAcrqwCH/VYa0B8ad46y/HO9sgHH8k3/Wwhk41xy7/l6O3qH7JKteKJt/xRphZasO8YUcfdE3R8Y4Ml/Q3jnOCfPqeCa21JrR0Ye2Xa7p48/e+a5LflJHkBnPWFkXGAuqbZejOTmHH3Trc1377I+y86KuvYdDukJO6ErWU8l1Rw3DxTMv6VcIFmwudDcMY8h1kwAbATs2bW4KN9eWLXR+0i7HO7byyqOOyUWPAfnXfpgndTG+ylm2akqqX456P7wXjq18p522h+b1zYOvyyXnwfE8kvQBqZM256nBHDiv8qmypO886phcbWOQa4vjV//TL+/Hf/O6F2++0e56/exv+obdi174vXv5Ez/5U/d/L1o9YS3kp6KuCXCuWyfqg2NS7z+krazsJWNA6rsGaxwwVt2jlaw5Ze216+oR51b7wfFVLamTdP1N/3JIr5sH8+MMqdfJntFPW+0l9VI2J3PIXDIeKKe+cZzL+F0uvMhKXYfA2kh7X3z1gV768JN0MbetNZZ1ZY5pg7wC+27/eXSxt/roob8kdVc1UQNgv+q/ctaeOQ0Xx42fRsOFsFqwbgjObBA2CjIHix47Fj64GSD9VdstP2lX/Xd0/oAHlxtTHEPfPC96bJVv5rbKGbyu88bKesB5yH4hdzl1vrs+O9fNmwtU3xyr+eSYeqTqMn+oBq4zBzk2H/1yQJevY3n/r7ax7CfzvDQI49lreveKl//Y7rue+2376w+/80fsvv25L7iRXoKN96CyNW6O2HOs8lVHtGVtpW3qQOohc6Cjf8/VPnW8XvnnUN6qh5e21VyNAzkO1pHnqpOs8uGcWEPXZzBe+gBiJ/YBDsna5pww5njKsMoRHfPUpuo6B5l7lwu+JPtrD1b2HPY8feQn6eajn9X9g1W+2GQeyF1fAB91XtuMnfnbK2tJv3VMO47OLzguWzJ+wPjkMlw885J+hcgFy8J3s6TMBmGxI4MbKHFj1Lm0rX5A3bSrPiDzUeaLVP54DBgDav5dLhcxxsY/Jl8e8ukn9ZiDOu81dP6gxs6fGUyq76rT+c35zKX6htW8fjlv1VPlqtv1r+YImQPru96fQzGSLl/HMperaaz2k3FeGqT28D+9/j/u/vGTv2QvX3PNLXc/9GP/fu+nQix7DMj5BTznV7I5inLN13HszLfauo8q6hFP1Ev9jNE9I3K+1qHsJ6qirK+tOVmNU4f/auG56mROUHuk3NWQuls+8nll/PSjnOuKa2Du0B7v7GWVIzjnWJc3mHfmkXVAfgqeeVS7rhbjrj5JR9d+pB1YO2flVSzOHlD7kr4g90faQepmH7t+d2Pa114Ac6uedXJS7+Fwcdx4dw0XAg9nFjIbAnIBp8yid7PwcHAzgXMcdQ7SNvXYRJJ2btCUoeaGHzZdxRg+RIFrzyl7viljmcNWvuphU3uePjIOKFd/+UkaIGc+2UfRd9dvMJfOFjr7hLq4r51fYAx7qPXISjf753jNwzkOxtLumHzyPoj+3lPr6dTHao+4B/lJ+rv+8t33g37/oyf+g907z/r+/Be+bHeHO9xxLwN63X0B5NVLKlQ5c3QdIjueOIZd1pN2jJub9Yh+qT2fY+o5DzUG1HnpauoOUM6cfa7UPOp4Use45ujuCdSYsKqhm4e0z+fYKi6yPURna27L3nnOssoRmHMekM3dvMGcuvsM2EjqpB2y3yxVjCt8U0x8fq/jGU//qt1j//5n7D753nfZPflLH7///RDyOtSHzJfr7EvWXe2BOW23vpYAY+lP2eep85D+md9aG8Y/RhZ85H4dLo55Sb9CsOjzCyGbg0XMA8HNBG4Qzix89Rljk0qdy83V6TGX19LJNbck81Omrsz/Spw7jsk36z2mlrwfHlD7VPNyvutNtQX86mNly7m7z1Dvo5+2cNgL9K0n+9PJqdtR88g1hk21yzq3YmStyu+J9XTq5w7uQX6S/gEfeMtLfXryl37+7s1vfvNefta3PG/3aZ/+3+5l5z3nfemOQ+sEOXFdZP71fh5jB7m+0p5z6jMGyqxF/NcYaQ/W0NUl6bOSOShD6tdxdPUJ5gLGVr+rIWM6n/mnvtc5Vu19TkDGTZ+J47VPcMje+exDp8d47RXn7KUvmthV2zzz7JDVMyrtJeOmj//qNrfZ/esXPn/34Afcc/97Hv/59b+0e9vb3rb7qZf/2P7PNLLvQP+1PseT7Is5dvbVLvsBXf/Tp2DHvOhb/8wjr3zLMbJ9hPQ3XBw3fjINF0Iueg4WM2NskIS51Xe+nS7kZljpqQvIbGg2bpU5utxWmw9Z3+jgh4dEPhSw8wGi/0N6oB5n43MGc13lm6Cj3/QFtZbOh/bkkr0S84CuN/Uwl+qr2ko3D/rCh3nbC77Q5KdFjG3J6GJTe8RZMg/tgfuYuuh5rPLRPzAvyMYRe8VZn9R8EevslPS4Vq8DvfwknZ5i823XvSz8zKt+cj/2+C98wu4xn/dFN3jR0C8xPQB/xHKes/d2JXfgz7qg3s8tO3NJudqLOj4fQf/kaC3Kzou63b6oNtWnZJ6Zr/4gx0XZOXxql2M1HjDf2Unex85H2mvnGEf1qQ9wvH7yvGUPOd/dL6hxJGV9YKM+Z2Xm1APWoWSczjZlMG76eNlLv3/3T57+VfsfH2NvPe/5L9p99VOfubv22mv38+y7x33OQ/cyvvCx9Ry1HshegPa1P9oCtuTH80JfaVd9gvPGrfteqm/3NHoc1aZbd0As/QwXzy3+ev4f1pab+l/U/sobfn//sKobSFjkLOrcTCz6lY36zq900y9kDOagyh3OAzo1HvP6SX9yU8YqtZ5DdePTsQpzXe86e0k/q1y27p2kH2McY9eBr5rneen6A6saE21X85Vae7ee0lfV59pzcnMZE3uPDjzlyV+y+zc/+oN7+c2//Se7H/6hl176OfRPf9BDd//qxf/7Xs7+09u8f+nPuMfeN8BGP6DMF2btV+u4s+30VvbW0tl1PbROQaeOAeOZf/V1TM4dqzo6MuZ546VtraP6OuQ3fbk2s2f6XOWUMbXr+lDjHOoV+taWtmAcxh94v7vtXvqjr9z/VSN9Vf2O9MGfOZU73vFDdy/5kVfs7nKXa/fxeQlH9797+KfuP1mHH/mJn9t93D3vcwMflWN6n6SP2k/nuEZ2PGF8FUf76heq70radPP6Yu7ud771Xr4cbuo7182V+ST9CpGfRGx9ByqMc+0DaaXvPHL3Hbx6kjKbyQ3FmQdQtefsvAdjNTdtk7SRY8bwxYOgnp23Bq55AB1TN6CfvjiyFtiyT2oukH6U9ce5Yg76ylw6u9UnIICPbv6YMc/mUntEjyVrTNCD1XyNqW8OxrRTD9KXuuTmvKQveV8by54rAz0QepOfpL/xjW/aPfUpT9rL/CWX5z7/X+/3Qvbf3krKYPzsdZL3jSPvjSDjR3tjHvs8qnG17/JxLdZPdiF7h8zRrTvwOsfxZ57pB2rOXW2dfKwumDPUeNnbtJHMN+sAfTF37F7OXDjjr/rMON28ML66Xxln9SznDOjpI221B/ogGU+97NNqraQPPkF/4Uv/7f4FHcgPyOnp/+Q5exle/P3ftz9nrtV/1/usMWXQDrKf4Bw5E0PSD2zdY6h+IeNyzjogbeq8OuSQeQ0Xx7ykXyFy87FpcqEr5yJPGVb6nj1WemwYNpN64GY+lFd9iOgHjMnDK/XR4cxD5Jgx/QN5+FDHp2fmzd/4zJmDKKeepC/odDp7ayd3xswdOXsrKesv69SXMKYfqXbmnmNJN3/MWN4DqD3iuqsR0Elb9LIu6fLQNv2mHmPq6HOVe7emTn3MHkDWVXuQvcmfSf/Cxz7i0i+Kfu8Lf3hvY8+AM/dDVvcwY1QyF8i8DvnjOI+t93o1zpl8cq5ivvYg88+eE18dxwX99EO8eqgnnawe50O65OAaMcaqv2lj3rVuUE9/gN7KL7aZBzgm6dNYjkEXs8aBLha5odv5y1pBe8457ks0pG/JPtWeeZ0+HvXYf7C7x8fe4+zq+j0k973fJ51Ju90vve61l3pqXZ3/2vtD9XKs7hfUGOroJ23QOeS36iDTD7/BQNdDag6cmc+6hovjxqt6uBDqgmURs0HYKHXRs8HdKOB8p9/pVj3miM9mAm3gmLwOffqinrbqeM74dSxf7rGvOKb/Wq+Ys2dAp9PVF6x6XefB3LfkGjN9WSdoo36OQWeHbjeWaOc906YbA2PqT7QB9PmmiXtlbRyZt+jPec5S8wD1E3S4j11fwHnHM+b7wthqzVc5r7Hl4BfZ5HFf8IQzabf/H0Yl7YwD5gH4qveyyoI/95V5MZ/+5HKeR8aErXFgzPEqi3HE67ruJOXOFlbPiayt1omNz6ItXci6gTh1DPQNmTfknDJxMm/O9VPt7hmHXo5B9bmqhyP7pa+UoasPqj8wh1Vegp10vsEcqwzI6eP3fvd39vuVXMCYwHq6573uu5d/661v2euRX9aV/pk75l+AIOOkv46MAemv67mk3y0d/GX8uhfAmPpgzp4NF8u8pF8hugXLwmcT5GIHx4FFz6aATr/qMlf16iZOmzoH1Z5r8mcTVl10csOiq06eV2N5QPrTp2P0IXOvcfPTd6m6+kq71LHXkvPmCCsZOn/W2PWRh73zYp7qalfHpKurrrk6ljFT1lfmLl1vme/qyj7gU798MUubjlXfhXnH8/y+MJYH5L2rvRd1eWmQr/iqr9nd737328v8Att3Pvdbb2BnjO7eQHcvod438H54re9K3jftj7HVZms87RyHGo+jk10z2Y+uN9owXmsAxuxz1lbr3LpOOeuSbgxd84G6f3JeOb8h5Dr1xVyAmPrPscwFfb9p7+pRR3vo5PRpvtWea/WsN+2d046cpO6hjKGcOo6ljzv+zQ+9UUzyAPS05y++oJc5VVbjUOs1jj6Tro6Uycl7JDX/zu8xOpD31tiwdc+Hi+OGq3q4MFiwLHgXtDDGZsjFDm4O7Fj8wnjdOKmLzCb1QeLG7eKquzUPzPlQVle/sLUZ9VvPkLGrP2LbF8fsg3l1cfFj7h6QutUudbLXkn6gy5sz1JjpD506hu5WX9HVDj2/EWEMufZItME/ch3r7rtjYOzE2ojJ+vJav7UuDjAvrv2GpLOppI8tsr5TPsPWmpfsizr64KVBWA//8qUv393udrfbX/Mn4V79H35uL6vPueuzvc17mTJkTqBOzd9You/85Br0W9ee+un72PFVvisZH/YD2f0E3fpP24yT/TSfKsPWtXK3Jqqsfv3XAOvIvCF1jVfzTtCxz9nX2vuEeY+8luqnylkjZK9B3Zwn/xzP3gDjYq2rGPqr8+nDT9LBGPYVvQ+85vpfjOSXS9HLmo6VBf/GAOJsfW2QribRpwc+qg4co5OgBxkb6An31vNw8cxL+hXChxLUTcdGdLHnnIs90Sbteci7wYDNlZuHze5c2kPqVr/K2kL6Vc7Y1bbWDepk3ZD+wNzc8PoBY9a4KdMXUM9+dnaOi+Ocq7/aX+XU7+5dxk0Y2+qDdmmrnLmkTsrZO2Tq6O579bVCPX1mLGBcn5C9wBaqDaTdeWRts85THEfOHkP2G/26DiH185N0dHnJ/Off9f1nI7vdV37ZF+5jZeyUAbnmU2XvT81llb/+qm/suQbn6vOu21f6gDpe9dEz1+xhyhxQ5STjdPpQryFrPiSbe5JxoZP1gy7xrU0yb/NTF3JcMj9A3w9j8Ge8mkPaKa/qwp9+Uu5q7HJUl1pzHVcfjpO7mBM+M0auC0lf6cNviq/Len8GYmPL+a2/8Zb92Efd/aNv4BN//H11/krMve5+x/2Zg7+vrp4xV700Tua2qqOrCapP5m+KTuZpvNQlZ7/xzbyHi+PGO224ELqNBsgudI7ukxJwY0C1VydhA7Fx8cn8yh7cZNWvPgS99KucGxeqH+lk/NQj4dqNT7z6oOCs3qp3gF6O1XxX41L9ES97sYqfea5k6PwJD8/UhRxL/U531Rdtsk7GtvosWzEZv5xeqCs3V9ke572mB+jkGgP1pH6Sjh3/cdGX/A9fsR/7vd/7nf1/sFJjE+P9d3+x1/+Bl/yrSy8OH3OXD96fGQPj5X3hnNT8YVUrtl6j67pIu7qvIH3Alr5zxnKtVd1cpxyr2vQnKztlyHy35Hp/hZjZ063+Ejd9mTM2XU3Q1QDpV/RnbM+1FslcOrQHZevzDOZV88cG/8SpvrxOv1JzQgffNV/9ZE7ym7/x6/vzX+3+xv6c/NF/ecfuN996/fyH3PFDL/nEnv30gu/+Z7tf/rXf2/2/v/HH+z+X+sQnPnH/51Kf/U3fcKn/xN36ugWZm7lmHV1N9hJyznHOl6MjGVtd0c77Olws85J+hcgHEmc2Wn0gAAs/dRI3SdpWHcEP+rl50l47N1nNCbnzwdjqExEeNvrWTz3XGGIefDFZUeMp+5BgPv0n5pVkP5Ic73KV2h+uqz7nLmdQtu7qT7LurLXaw0p3VQfXHpI+oPrjUIZVTHzmveC68wvKaXOMXM/ntX9Py2LP7CFzOS/1XvyXd7zjTLr+ZQAbXtaf8vXfuPvYe957P+7Pp9eYvGjw6d4LX/Cd+5cHXhx4geA/aXn613z57l9827MufYoqyvXeo5cv3BxZp3GVvXZdQI4njjtnzFoPOGcfyYG9kPZSe+nzCtKPcrenoJPxc57738Wz91zn+sDOA1JOMs+Vb8m89aVu2tkD9S6nLuWEXLtPXFf3BLpx5zxTp5g7aMt5la+5pA/20rc85xtv4Eu+53nfdibtdp/1yM+9wXr5/C/473eves3rL+0RfD75a75p/6Np/+fPvHI/Ru8A/a6XiblZZ9ZRa5K8x0n2+7w6XZ7O572C9DFcHPOfGS24qX9Y/9fe+ic32ggs6GPGKrlRgWs2D5tiy5aHyB/98Z9e2jzaAHbV77Hol4cupJ9aT72uOUHmdaguY4HxUj7kK+PXGOnrGGptSfYo5S7GKid1hbmtHPGTX3Cg60fKXR6ZZ2WV31Zuq15A2hwrp/+8PjV5Rd5v6O4FoPc1X/GE3Q/+wIv317xgo0MM+IM/+L3dgx94z92f/emf7q9f9LJ/t/v4e3/Cpd4CPuqa4IvuJ93ro3a3vvWtdv/HT/38je6L/pOamzrmc2htwaG663y1l1rTSg+yLqi5Jqt8a3+g1t/JcJ54HbUnXW+NWUmdlZ9K55ex89QF6SfBrs51vtCpOUO1RYe1zH9m9F/f+SPORq/nUM344l+bPuADb7m79k43/E94+JeqL/qHT9zd+c4fub/mm13+J1Lgm+Mff8Wr92twq0540pc+bvezr/qp3U+86rWX8qs9yPpX/uCYtZA63Xiu5S0dsIYuJ+d4lmDDNyecP/5uH7IfvxzmPzPqufG3i8OFwAZi0Se52FnkfCeqnDjHmQNffhcubtTUqzIPEfVA2Tw41w3Y+aly/S4f0mdSr7UF5/LTlMzXmNlH9DzyWrp6zRsyfq2t+2TDudRTrrpJ9ijlmi+scvK+o+966uwFP8576Be6PhsPujwzB22Zz345nnKy6gWs7LfkJK9PTRb7Zc15v6HeC/XZv/l30uk343KHO9xx963//HvPrq7/+XTQBxALruv8pdz4YsqLxu/87u/ur/F56N4n6NRn0rH1bOllX7qYqZf5JakHWZdkjFWNkLbVD/rarGTZime++YxzLOOKsvMc6XNVz8rPlg3XjqUsKx/qZR3K6HSkL+0zZ2PoS/Kbtfr1dqtmY/CvTemDH1GBF3zP/7J78APuuXvkwx+4++R73+XSCzr/2dE3ftO37G300WG+r/2/fm5394++x/5l37w7O3Or/Ur50P6BrLkb5/oYHcg+AeOpzxw2vNSnz+FimZf0KwQLloULubiVwUXtRujmIH1Bbp6qJ8jq5cFDsuayygs6n5C+0ieszmIuytbmuP6AmMybX/rioZxjac8DEhmyBqjjXPMCy0NQf8aD2gPJnFIW80m55izO+8+lYO0pH4pZx/BpP2qfIeuBnMNH5qBvyPGsqcaX9JsyHLKvPTvlM0etBbo+b61TZObzfxzNL9LaPOKzH7n/8RXw59Nrf5HzZ2zxwX9vfu1d776/5ossuaYN1+h5j6HWU9fToXpAXQ9IPcbwc6iHNb+VHmQsZY7qo6PaZm6ytX6158h42oBj2jomxrW3HN1zAntfmDo6P5lT5XLqAnUh68g8O19db2sMxwQb6WrQb9Zcnyfp41Mf8sj9f/l/7bXX/4+j7BP+3CLwF11e+iOv2P03n/TA/bXoJ88c//n1v7y3/duf/pBLOTjX1Q+1X5K15wGpB1vjzh3S6e49ZB6iDvUNF8+8pF8h3JCSmyEXuotd3ZzDB5u7bojc4OqkrrJow8bjQdblAqvYXR6AL74o5MuDm5mY2Jln3fDksiJzJKY+MgZjqZc+HUcHew8wvvU4jg2y/iBzWPWj09+qteacepzNwxjCmGzFhPzEHLIfYLzag8yDo+YAxuv8S82p+q1y/YRolT+gT06chTzpMWd8Yvve0oOuF8w5L3lfnM+D+fpJunOgDv9d+Yef/VM6P1P7Qy954d4nB/kqAzavefXP7F/o/87DPusG+WWNxqqkfqWrh97UvM2L3jnuHOT9hoypXrWBTq/2wLjQ+ej0U67POsZX+Vbb7GnaMIYOdDVA9tbr7C2kvhg77dJPjZNcTl2SddQ8IX15PzLeKoY+zJ/7IfqpdL3LOPjgR8U4+F9FP+6e99n/fPm3P/cFu6/4x0/bPetbnnfdy/krdz//y2/c3ee+1/9nRlmLcp6p+V98+7P3n7z/j9f5OKaX2aeVLFt92RrPHjmvTrLKt/MpqT9cHPMz6Qsu4mfSITcAGyR/5strFzeb0Tk2AOSGYL7bCHWToctYtVnlUvPK2DWPQ+ArH5xbZG7KXY68tNW+GePYHPXV9aJy3n6kvvNJF6vTg1WMyiqm9lv9rD1I/cpWDpVDfdjimDjZl+r/FMaQpa6h7H3qSTfPGH8H/T/87E/v/TzxyV+9H897S2zOfLH8X5//vP35sx756N3d7v4xe91Euy/7h4/ZvfInf3z3mte9af8jM/qRLj/JPKFbZ1L7Um0dR6/z4zi1HxN3pVPp4sJKP0lbccz4ec/zWZi5ijbdM85aOjviM75VQ61nK361Sd2sK+uWzq+ov6oBVnkd6h2g1/1Muv05RI2T8KJb5/Cpb/PPnjGG3dO+9it3L3rh9+5f9B9x3X7s0D5J/5Ay1Pvl3E0d7+47qOe6hM6nY/Mz6RfPvKQvuKkL5lfe8Pv7By/fkSZuTDdDblQ2d9WX1KsbqW5kYfwYn9imvAV6qy8Eypz9opPnzMN4le5hkbqO8zJS9ZLMU52uxk4POt0tqj75re6//WFupVfp8lzl6Dgc2wNhvMsp40MnY1v9p6+VvKKLmTadj1Maq73w+tjeAWPsYagvDNqmP18s8JE56fsbn/6PLr08fM7nPvaS7nnQF+TzhfF6jyqrGiVrSbI/SfYPOp3aC+l0oep3titqfcfaZi61luxJ199VHaI/QLf66OxXfT1UV+c/OTSfrO4ZOeT5gfe72/4l/a53vfYGuthn3zq51geOQY5DzkHO69dfMuVT+K/++v/50h5Dt6v9POsLjLnK5bzjcOx7gqzG7n7nG/4C7nmYl/Se/t+HhpsMm7Vb9CzqXNjIbBA2L5uZDcti51BWz4PvWusceJ3j5FB9if6qLBlHH+ADDlLmu21qsXbPjNdeGM/ajZ3+RF11yAU9r4/JE4x1SA8yHnQxOEvV56Hb3U+wL4yl3PlX1i4xZrcezKWzoQ+dPgdj5gRdfPSoTzKGfiB9dfJqvStD+tYe9OE1nNIYZC9AGV1Juerjl2v8cjivDrbI3gt1OdecuOf8LWde0L/syU+5wQv6am2nnOSexb96YMyVLTar9QfY6z/jgLZbz4uqw0Gc7IU4v6Vfbc/zHGA8n32dvminLShnjVt1eNR6wLyh+qg2kDEhfcGxz7fzznMGzpmn8+bgmbwla9Jeqmy96HEgg2fGwLqNZx7dPD1hj/GC/pCHfubuK5/yP13aY5I1AX5y7ND6AuNVzjue97zej6Szr2PY2LvhYpmX9CuEDwDIxd/JbGQfHPnPSj5YVvp1LmPmOKx8bclsXO1Amc1JLPJ1s7phsVH2XOliIFdf6vHgSlIHtvLc0uOhqo56mVvKqxhV11ztwyovzxzYQqcLaadtkrllDupXm5U+dPpdfHzUNQDZhxxfyV2dkDEzjqQPOZUxe5DrQjlr6epKfUgZnE87/qWqUnP6l9/3Pfu/jf53/u5n7572Dd90g5eH1doG5cxD/cwr75fj1dbcV88vc8a/L7c1To6pz5FUu06HOWNv6VdbdcVnCKRPjrQTbWtPcg+mH3CdeE46+62+QZdX2lhzravGYD57kf6NvZqXbp5YkHrAPH6zLtaSZH5AvwA/9VjdR2Mgg7VnzMwz8/nZn/n3+z3GX0767u/73/ZjibGTOlbz6mJdhAx5z+W88ew5NWTew8Vxw1U9XBh+qsxChm7jAbIblU0DXnOA+lzXF0uupYuRutDpwErGzi8Q+mGDokO+uXEruZlThi7GSq/GSVlqnukvSR0e8KuYcqgXtf/eQ+lsEh5ymfOWnHnWuvRLDl1dl6uPnjnkOOf8lJA6mIeuD6BO57urmwPd9Jc+OE5RBnIGalitkZQ7W1Cu82mXz5rMQ/kXfv7V+0/3eHngx1y43/ZWau9ThswJGHdO2Ry2bJHT1mttE/JTL0n7uqZkpcNhHPMyDsdqfSVZH/eh8wnVPnOqPfF+Ajrdmsn9VmOmPWQsoC5yhpqXoO99YO5QDNAm1w02dUyZQ7zOecjemKO6HoKt1PzSD9S1gh9ja6vvWjtkfI68R7/11l/ffekXPmq/x/gLMNetpBv54rySE+y2enJRMlhLlY/1leuRfIeLZ17SrxBsPr4YuqhZ/CxiNl+VK25eHipuHPXqg4hrfdVz9a2fVR4pcwgxqCMfJuianzXWh4/UjQ2rGMIDUB3jdn7yIZd5pr+VDr6NA+pzfWwvuE7djmrD2Zwyz2NkyJz1VddKV5cxtcn60n/Vh8xB2yTnjVupPsgZHM9+GNf8JH3AqcqZNzl3ayRlSNtu/eW8KK/68ta3vmX3+Ec9bHfPe913//KQOukHVvfBHNRnrK4lbXiR9LmXtqv6vc54wpxrrYsHWfcxOqCceam/0u38eQ2dT+Rqz5HzyB3EYN4jY0nGFPS6PhyqS13u3eqZuALf3Hfj1DVQ+2Wsbv9bLwc6oD7n9AHEEf0B9lv3to7pD6xVXfMB9NLWue9+3rft3nndOH+y8V53v+Pub93lg3Yfc5cP3p85+Esv5AL6hZqP/r0PYIy6bi5X5oCsRTm/jhzjK8m6hotjfnF0wUX/dRc2AXCdcsI4GyAfDoeofqsNm87fxK6xt2TzSH/pC3JO+4o62vIArzlJ6oB58LCqtn5RkPSTHKNT0QZ9c6i5CvM5vqVf+wfH5rTqTXcvOqwpWeW31VvHV/FqjV0vDvmQ9LWV66nK5k29q/y72m5Kf3IMnvVPn7b/j1lW8PPpT3nqM8+ubkz1l2sOiIsOLxWrfHMtpf1qn0jadaTdSjd1rIV7BNVmpZt6q1xF3UO5MV/HD/WjcujeJPpc1SVd7FWcY/OU6ueQPfr5Eg7VBp3VX3cB9Os9qdeQuR0aN6/0x0trwjxjnh1LH+e5D6t6zisD16u1kjpwHl+c56+7XDzzkr7gSv11lxUufnETSG4GSLnqVvSNzaGcah7GyU0Jq5h8N76KkbaZ08r/MXLCeO1RzUWdY8aNI4d8Q9pUfWQe2J2NdeW5ou/sAXS6gl7munV/IGMk1c8WmZvUXlQ/+q/9kq257MepyV2tcowOoLfS6Xw4BvnyUF8c8mzO2duUK+h3dLkylj2p1JirXnRrt8a73PXdsdI15jE5J8c8G6H6PiRXyPfY5zAc6hlkfnJsnun7PD1FTnvydF577Lq/7sJ4jXEIc1vlbE6H/KJ/3VP+Oq1r9tcrff06f8x9uAiMC8S+KXH15de1j77zB+2vL4d5Se+ZH3e5QrCZu0XPd9BsChY3hzLwEGDTsOCrDviAgvqwAv14FnVWOYF5Eds8IGPCKj9lY+S4YKvfLf+ps5KP7ZH1Wh/keNryqQbjx/QifSSZZ9VnPP2bOzEY48w1OJ+kb+Wte4EM5spY5p36kjGg9o0Xui5eYl72joMvAtLlAIwLcuaymnP+FGXIWiudTl0b2ZvOT+eDMfvPmAdw/3iByDMcugd55JqTLlfH1E/7Q/tKW2Nwds7rLt7KXswhyZ4n5uqcPqHLOak+Oadenc+8qm+psjb1yFjmbBxQD2pesLI5dN+kyulbP/o3FqQdz2L0fCabJxgf0JEaJ+n2Feck6+p8ZX6dH8/o8z/8amd9FebVwbbGTf8pS7dujxkzLgdjGZfrLfs6rx+/LgwXz7ykXyHyhSsXNpshN3vKvsisdNgM+OXB5OYA/fvwk4wLmRPkvDE9M2YM40jNj7w7PXWMYTw2PVT/dR4Y85xzWzlkjyT1cxzSD6DLFwcePMwRe8s3mB9njtRTFv0D836KkXko196lTC9WdqBsrpxr3qs4XZ+172JU++wd4GfVu/Tf6Ri3ztVc4b09xlm5q7XqdWuj62/6OeQD8MMaYx7QB/z4ApEvElv3wHjWmzmaB3S5Mqa+enmNbhcT3NOgXlLjqVPzyV51cleP86zjzCNjdjlL9Vn16ry9Raf6XslgnrkWAT3G0FvV5ry+kmoDh+7bVp5J1g7K+tQGPalz5uQ3mZA9sMaau9T61F/lnPHRk/QDGdfY6GSMlOt9r2zlXNfQsWPZpy7ulj3UeQ58pM5wcdxwZw8Xhp8EsJAhFzALmjkeZCnnd6NVh4PNgB82DbDZ0j/2q7jY88UG8LPKS5SNgU2SuZGPPo3NuD4yRuYvtY7OX84J/s3D8dqjRH38WY95mmvSzdFD7xM+zBO6OpnnnqzyAeesxTNUn5I14kebTq65ctbOHFa+IfVAv8aAaq+N86s+pB46xq7rrpsDx5g/hTFBPs86Sbp7eV4fkn3NtQCeV/egxssY6IJ5cJ25OqaeZ8m5jCnMdf2rvvUBrotDa1OU8bnSZdy8jMdRc675QfrM2mQ1n75X8rF7AMzZ5z/kvHacQX1AL8m5VW4pr8BH3ieOuucTxmqOgA+p8brcD62NLufMy9rAvKH6yTjKzgnyMWt8lTN66uTX9tUYYJs11p5rm/bA9VbvsLfG4WKZl/QrBAufDehCduELG8U5ZTZBfvrleN1Akj5ybmtcuZsnDnmThxs3feVmrrkB14zXzc3BBsavsZKar+ivmxPms2fGW5H+rIdjS+ZBJtjjXx+Q+dU6t3KpWIs56id9rvqoDTl3sihnjZ3/xD6oj+za5hq7Lre0q/mC8/ZXP5B5o5N+c44x/ADrTh/vybHMpR7OQeqt7iNQn2t6df+2fGCX9ws9qD2FTjfvf8arMOYB1X/uG8B3jhl71QfGutoz34xjfM/Mm1/2qpMzj5xPMh5zdb7LT1+JfjgDOtmX9L2Ss9eM6SvXZwWbVW1buafuKveMmbKknXI+Q6Cun9QlD+dAG3xI18Oax6G10ZF5pS55WbvjnCFtUjamB2RdytYPWzmrh47jaWc+kDElc7Me0ads5YGcdQwXx/zi6IKL+OsuucBZ/N1vjx/LIftu/tiYqQfoutG18xq2fHV0vtjc5+mFPrbsqk7KVb/WQw944KcsqxztGy9UcGydq/FDYHce/aTmuqoxY2SeHeipz9mxJON09wWqTbLym5intcFFjq2ueSHKnoJ9znt7aJ0cQ/UB9pZcur4mxCKu5y26vLbqyjHo6ssx5JpnV0ONY+3WLRknqfWuZNCHNgljmV+dT9KnpO+t+5Nkb6H2JMn+1Bhp19VWOaa3nc4qbpWTVS5bPayQy9Zfd8n6OzJWl3PWxn6nbn0xXmX9reLlfU2deg+l85MxOhm6a1jFTz/HUmPTo/nrLhfPu79tGi4UFiwbQup3rCxqjvrdKzieOjwcVvacO/9bMVNO325SzrlhvXas87Oqo/uU4pheMCbab9Uj6sBK35z0m58aIHP/urwT+2vs9CddfKjjknKlywX9Wlu9D1BzXdW4yp/x1Oewj57T1lzyi5q+IP1KV0t3D5yzTuazNs4XOQbdde0pOAbWcsw6Ya7WnjJ95CUhwa+5ijLj9f76TMq51FHu2KrLsbwfxgR0q+/Mk8NPgKH6rP3jOvNO1AF0rFe9TvYaUk4y38T7wznrRK/rZ/pZ1QDZW8j+ZEzI/qCz6mXNBTpfW3lBp8M58+1kdKpdxld2/pAusC/E9QfaZP0Zo65Vji5n8+Hlmbr1C52sL6ixIO9rztV7uOXHcUg9zvbMvB2rcQAde6Jdh/HVNZeMDdm/4eJ49+oZLhQWLBsicUHnYk49NwCog40P3ZW91Hn8bdnoW1ldwFbYkHWTQvW5qqPrwyovdLX3YWMuW3bCwwYdbJWhi7OCeDyU+QJQ6zYXyZyyT5BzxnesjqcdsnS9TxmOrS3jYn+oxsyVsfTtNfZ+AXM88zIe57wnyuhXG9F/zc+5rNM4zCPTN/wDdsrn0XP91bXEWRmQsRXn3VuizbH7SZCx3bqvmSMHfrNH9VrZe8d83scO8zc3bHJMP6va9G2O2kKdg84Gaq4ZE5TTPqn7FFb7DIztekgdsB+QMWt8/XBgv8pP8p6it4oJ+gV95liNtfJlXlvPBc7dWiFW5nxoTQLjuU+cT13jOw/YATGky0c97aD65QzoZs6gbkWbegbXEnT2K9+ZL3R+zBm9uo45o5fPZMbqvcr4Uv1zVnZe1AVzsG/DxTMv6VcIFiyLXFzwLGY2CfPKiZuBcefqBqv26kGdX8XUBt/KkHly5hqdukmh+kxSJ9G/vdHeM2CDPQ8b/WDDAwGYr7GNg37mjNzpS+aj7Dh6xofMJfU5Q/apy9e42mUuNU7nEzoZH8fWppx6nc9qV30je1Qyr4Ra+IKBz601VY+VnuBPmO/81xfmY/TM13VoHM70hPtLHsjinL5z3rlc16CMbt7H7p5CxhDrcAybtOuuk3oNGUe55pZjsqpN9OX+SGqcjm48Y3IP0VnZ5z23vroO6jysdIjT3auUa81dfurUeF5DxtQ+7Tp51cvOlzJHVyv+AN8dmXPNP+Mk6NX+qattlyuwlyTXU+anTXePXCuSOWsnjOX9sbf2RPQBaQ/66O5J9b/yY345nz5Tt8YQ9bq+6xMyftc/cvCbgLQbLo4bPyWHC8EF68YDxljMjCknLH4ON76btVLteTilvvOHvqNO9AHacnZDmhcb1TxrHuI8R82Nse6Tk5pb+oAaJ2MjEyPzg7SvuWoDjIty9ZG+On1JncyNc41pLtU/NSSMZ22H7sNWbdqKPqrP7h5J3lNjcYb0l+MJ855rXOjWTNWrOsjOcQBn7VjP6Dh+jJ6oa01gT4jP2q1zwny9B6DPPNTVr7Iw1sUQa0BPXc5Se5bn1FeGmnvmls8XoQ7zSLnza6+7OePU+SqD/TPWlq1ok+s8fSBD1g9VhwO/5gxdbDhWJzGG8lY/AZ2tvSv6xV/Ng7M6q354XW1A3ylvPTM447dbD7XXoi3zkr2FLkb2An9cG4szB/Egx8X6wZw54yv1uO56C6tanUtq3V475hk7a1v1OmXgnHaCz9r3lS7o274NF8v84uiCi/gfR7sNt8JFjo2bAhxT5gG82iiwpXMIfRzKE1Y6tQ7HoI4L8zmmj2PryJyU4Zh+AXY8vKruVh7H6mecZKtebRjr+ph1ph/JmF1tK9s63tUoGUNW+Tq+kvmCUGNUW3zW/DKHzkfCF66ut1WuZHyoOSSrOfvIL2zVfmJDjFWfk6y3iw+pI10Pjekvka3AZmsdbEGsjAl5n7pcwdpW88nq/qxQP2VtRR91PNnSOVQXHKvT5WsP00fNY3XP0qc26WdrL9YYaQc1126tV6pepyPEZ772aPU/jkqXS1Jjdv1NH6veMl7vVUfXd6m1pZ+uV6vaOt/Jyi7RR73vHere/c633p8vh/nF0Z75JP0K4cZigXOw8dnELGaOKoM2jLkxcqMjrzZV6qtz7HfUYq5QP3WTlY4+IXOGzK2D+c4HdTjGWWpumRNkPHtR/WjDwVjXN8hxqfr6hqqPf+49D8WUsVnZoQeMJeZb5VU/OGqukLZJjmO39S8v6GVd0OULOV5ldLoYjHPwhQTIxzFBNgd82E/7kGz11jw89Olcog6s+l73BT6In/1crbFq2/mvMRLmVvcF3RwjpnP6TVsObDI/2MoxMVb6TT/GqDGlm1/VJtp4bOkjO55oC1t9Xuk4t6oL6rxy9hS6fO2hfrHN+JzRPc+ntcbP+yPGgVrrVm+rr4yTNnVNpI6HNWpnfMalW1uw6oU+Mkb2oPpgHJuuNscFWft6SNapnPlB9WkOOV9zgfRZZcBuqyeArvqrPa8M+B8unnlJv0KwYNkYwkaqG06U2RDasfA555gbRupmuZyY3caDtD1GB5Rzc2tj/nWczQ+Opw/j1DxqbvowTsZLqp+am6T/HF/pQ6cv+OMFreYOvIRiU+0cc9zYmbd1136kTpdr56vK1QZyHoyrfpev8XMNH7uekflCoo31JtlbqH3owN9WHtlPdSHzg9r37n5U37LSyXFI/8Q1B/qyNec3N+Zvrcxnzc6L8a2xzsOxOdac0m/qZEzH817nfMrmZn7app+tXmzZcYas9Vidug7U27JLGZS7fCs1vrocK5/VFz5yH2WuKdc8D/W2oj2+ujwgdaSOacf9le75YAyOzFu5ux9ec85+gr4S9LJuZdFPzS97mTLk14Wup+rWXJKsJ2X9cmRM5WPue8rmmmPDxXHjVT1cCN2nkCxkNhubrsocwILnwZP2LH7G6uZxTpDPExOqfXKMTue7y9G8eFB144AP/aCzyhXfOYYPxpBr70TfHH5hgZqDHFOLqAvqcq6YM2dtutj2qIstNQ99V51j140oq7tlB/ZUuvuLfSfLyj8yvjubinmYC/quI+yNwRkO+dy6/0nGS1+MGz/zSDLfRNtu7XOdX8Ahc0JmvPaX8bo3srbMLX3nWkyYX+UIXU7adL3UFzBe74v2ytlTa4AubtcLxupalZTBuMfqZLzMFVZ2oK495ch8xXo5i35W8dPn6p56fagn6dPnC9RcuzzBPGBrfakjOaY+eUjWDdU3ttkLyLpAnexB9wxNWT3iM+Yeq+ur5gfmAZlf9rDaopd5Zi6cE3WV0ybHVj1JuepmrtSKPFw885J+heg2DLCgWfjMpSyMuVmEa45u8zDO5mDDVDtZxdRv2uuDeWpwvNMB/VUZ6ssEpE6OJ+jwoOPhuMo1cwPnvU6shTPg/9ieSVeLVF1lY2Z85awNUmcr9lbe6tSjy43x9NXd35Wd85mzsnWBemmTcrLKy7G06eKmrO3Wfak9TD+wdQ+0q/Eq+Mh1DDXXlYwNMaHGxa84fuy6SLzeyi37cEyOqzUl6U8bcBx97IgBmYsyLwT2Vs67R6DmknbqGLOraaVTWdXc1ZY9hdRPuntibhXjo5PXoD0Y51BPIH3UNZB0eWbMLpfU6WTuv3Gwh1vd6t09k+rbdcMYvsy35px2zru+wDlIvTxD9SOrmgAb1jXjgN3KNv2DcvWdcvcs6npyzH03V+XMZbg45iX9ClE3QpILv26ChI2b9uixcdhA2jFHLDYJcH2emCt7cDx1Ov/6AmRz1GfFeXx0/sQ8a648aHg4dDV3MmAnjHc1c06y18TsYkjWbb4Zs8pZV5dj+ss80TmUy3nXTcpSbZTR5ehyVjZGkjlpzxnU52Asc+nsIGPlS02tw7zznDqdT8n6u55DjddhbZAxtmT0ux50ML6VxzG9hy4f9FbzmSNkHilXsKO3tSb9sbedhxo3fWKTedQcVnWL9mkH6kP6O6SzwrWETbUT5KxFuv3ssbX2E/VF2fidb8b0ac7qgXq1H9UX1DqTQzpVzhrpDfzZn/3p/lxJ39plXqu9lTpQbfPZwLHyc+x9z5qg+lzZ1lyg+hZk8/Vaap7MkZNxOYv2CfPYDxfPvKRfIViwLHw3Qt1sKfugqbBJqr1jyJCbTs4Tc8vecXWMufKvT3LMTwOc9zrrgkP+xDzMK+n8gXLadT5qDpC9Rr/7NGVLn8N1UGXQrssRah+d59AGai7Z3zpWfVU5yfjpE5Sxy7r0g03XG6n5qZ/9ga246qFTeyvWkOeq0/kEY5Mb4939r76y7iqv1kInJ+YB1Td7BLutPNIeOl9b+WSMnKuoU+WOWlPd6zmPn624lcz5UN1bPcz4ng/piL45Q70HriWOQ7Vt3X++eUwfSebQyXmPU997UfNZ5aAMnU7Wt6qV6zqfch4JvRFzyHPW2bHV27omE+2M1fmBHAdl8ln1QrZs0yZzce5Qz9VzLGOpL44f6k/mOlwc61U43CRYsCx8N0Eu4Cqj58J3c4sbKT8xAf2yUdJOfTgUE2pc7fUBxmDjsoFX/vUJ+sMOUhfwcR5/Wecq5/SXMscx9tDl6Zz5HKuPf+uoMvG3ckyY08Y5xlb9QyfH9I1ustWTRF81Jgf61gX6BPORzv6YTwKrHXLmytkX8BVdXWAeHF3/nQP9O5Z5cHR1V9n7b74ruWIOK3+H8jDfQ73fyodr9TpW6ynlJGvqfJondlu1pgzpD/usG5iXQ7G1gbo+nD9mHYC65GJM9GsO+jAOmIc+ufZFv/pY5VBl9VfrAB/WRpyaAyg7v9IxVsq1zqwjZeeqLnBPhNiOZ/3H/CsooCvH2mkLnR9gvO49/GzVJ9p5hkO5pO8qH6oHMq/0m3VVn2B+w8UyL+lXCBasG8CF7marsrgJuo3EhkDXDeEcD5LObhVLOVnF9QFIbDclZ+bxVX0nXutb/eQ8/tQVZXOG9Jdyzkm15+hiM54xwDF11XfcvuVcykD8rRwzL6lzaa9/a8j8oPN9TE+qzHrLL+q1rvRZ5yBz9np1z5O0yxjkBPoT8+XMoe86jlzXOVQdzpXUB2ViZU21vqxzJUuNry/PgN0qj/SZPfT62Nyg+oPMb9UPUK59zdhifp0O51UMX1qrv6zb+Vq3GDNf/iTrS51V3atc+MbHGjsdyDjoctSc8QWdj8wh7aoP/LOnu3WAj9V+T31t7N0qFqQMWWeNv9IF58hPuB+OZ/0caZsxu956wCG7KteeSK5B6HSqf3C9rNZYjW8P9K2sP/cIdD7sQ0U/3T3VZ+Y3XBw3fhINFwILloXr5uDMGJstZXETQC72lLUT5ZWd/lcyGJcjH8adXp6h1sF1PmDSNw+PnBPnofqroMcDggeFNugn6S9lQN6y72oBdeqYutYGOS619swrZah5dXrMIeOXWsT+8YWr+0S2+gbGDvVEjFvrti5Bh+PYe06u5KwuxyE7z+aX/rCFzH01jpx9qn5BucsL/ewfB/P6Tbkje5T+laHmgq96f83BM6Q/MUdgvFsnh3JKGTK/2o9Da8vY6RvSd81vFUO9bt2hZw7As65bc2DMmhNkHZmXOXiGzh68rrEdN1eOrWey1HrTnrGsp/rQ/+p5wVHHqx/jwyoW17UX2bOa11ZN4Di2on3VBWTjOU5MqfFBH4fsRB9draA/WNUH6VPQU2ela3zo9gA1dD1arbFaB+ecB+y5Jp7rfrhY5iX9CsGCZeGyiFnobHRkcHNI3QzY+mCodltzOe84rOQal83W2YM6gI61VT0fGvhFR/Cdc/gzvnqdvy5H/HCtvjbVHxxjv6rZfEEdx1I3a6s+oNa+yk/ZXPTleO159VvtkpVvONSTVX9q/KyB86F5jvSpLhyyQ+76BNo653yOr2oCbVJHvZoXZP8g9VMW8+ecPYJO1oeHcRL8+KLV+ai9cy11HJMTKJuXZD9SVm/V+5XvjswRmdrtS851dQM6+F7F1Ffnx/wTc8jYUO3Bmrb0OJD5RgL9LqbUevP5gq3xUhb7cAzmVO9dxt+KVWvMnlXdrZpA/fwk3f7m2VigT67Nb7UW0/aQXeej1pr+oNanziofr/WTXws6m+qf+dwj+uGMbvpJqo+MkeAD/8PFc8OVP1wYLG4WbpVzcyiDmwHU9wEm6K/mIOeBjVxjpQwZt9qnDSinTuJDAzqdnJNVPGVIfcg4YJ2gv2PtV/Uwz0OJBxeoU2OLupk7Z9GmxmL80CcZ0OXIvA/Wzo5z5yPnJetiPHW72JJ1Scqr+ewtGN/xQ36Ru1q0xU+O61+/q09S1edsDEn7zAVy7rz7DrusO2WO9Kc+eJ0wpp0HdL3bYpWPsmewrswnY6eMThdfnRqr66PoU/Jaf4c+iTZOjZljx/gR8tPGA+y/+TuXcUA9ronJGZutmJD2qbdaix0538mwysNaVrGYzxyPYVUT6JeYgr7jmW+SecDqOQDYoksPXeuAjjmlLBkj43e5QNXRl7l0eaVOXifp33nHOOea7vy4Njmv8pLMb7hY5iX9CsHidhG7MYQFL8ro5JEbIDk0xyFsqi4W1LhVlrTxi0bVcYPyMIMtHTY8c27+qncoR/1wVuYhm7qMw5b9Vq5i/3xYaQOZB6x6nblacwXbQ/3ocmSMeexXdpA+zLfLz76gp7+URV3tMveuDn3knP3CPsnxzq7zX2vFNu+HdSX2rNoC+jUGPmt/nHfOWjI2dHLaQ9adcs5B7buy1Jwy3653oK6+kHNPZXxkPyBwDLr8jJ+YS5Lxs/bLiZG+AB+rusWajIls/cf4qTHBsdr/nONsjcjq6Z85yDFJH8pdbvqX2kNR7nRBufpPDsXi6Hpo/up0+hXtuU9iryHzdUzfuV7ImfmtWrMu7DP/9A8Zw7msWV31HF+trcyr+/pbr0HfnAHfWbNYO3R+mHev17nsh3Ey1+HiuPGdGy4EFiwLm82RC9nNwIZk83gNVVeZAxkbzujneJWTGqvGzZjVhzrasFlTRxmol3k4pMNY6kvNT7nzI/ZZfXRqjWCdkHnUPDkn2KPrw2qVB5iDsaHmWmsGfOo/MX/r6vI0TpJ22Uvsam/y05RDfVFWV9KuqwOYq/WbQyXH027lw5qyNueg2iTVlnPq15q3PnVLMq8qc9S9Ds5VGbyu90tWOWXd2B6TP3IXP8FWndStfrxvNWbK6gJj6Y9z9g62YjgmjKvjtfEr+gdzcAx9X95X+aNLrjlW+y/miA/jrJ7FnQxZZ42VmFftobniE7q1WuUup2QVSzLPrVok9RPjEkvUI64HdM/+Ss1bW8CecebTvnB6nDEAABofSURBVLtfkDqM1+uqV3XEPMyr+uDcyYA/6eKvbDkfIvuTcchxuHhu8dfXcSYPwS1ucYvdTWnNr7zh9/cLmMXswmcROwaOew25SdicbuJK+q0Yp8qQdjWPZJXrilUNSeocAh+Za8I4DxS+6NUHG6RNl9fKr9T+ZZyV7yTjwCpX9DJWzTXvQZdvl1vaOFb9ylZ+XbwE2617IF1OknNQ5UO+OzLvzsdWPh3pT32+OOOzm6uow3zK4PVW3ejUfGvfMw/wubGi6gO+O7/mneeEsZrzofw6Mv4f/fGf3mhN1Jq2YtQck9SrfV/dg2RVS8ZUJ8fIF//pu9aLfvrfev5D9qzmio01mUeXV+c781jJSdfHQ/cL0he+U2errpr/A+93t91Lf/SVuzvf+SP3Y+aZ9RsrbTuO1RP1ky3b1D82hmCbtWyB3qGer+jup3J3T0C/d7/zrffny+GmvnPdXJlP0q8QLmxwM+YYMF43Ktc84NgQbgb18shx9R3POMjqOZ8yIG/5AG08Uh+ZB4IbtdPhgNWnRRX1Oz/ok1/3sAD1OBKuzbXmv6q9xtEvR9aSOC882A59gql+NwfMd3mS28oGMg/g2gOwXX2Kv+qRtqu6UobMaWuuyuZ07JoR80sfq5iy8me9+gR95twxayFlUO7qXuXLeL1f+vUe1Zq7nOr9RKf2i3nq4qwPc7JeqHZ5DTW/rfisp6wXmfn0txWDY2u9qAM1jqTvlX23H8T5zIF7xlj6Vuasj/StnjG2elbrBeYS7RJ9pm9I3SpX3YxjLXlvzDPHQL8cqbNVlzG5BnJJnIfMi3F0qz/9SNU7hPp5X5L6XFBnlUvKFX2nD+PWHLDf6vnKFrJvVfb+1Hz1MVw885J+hWDBsnDFzeFG6BY6GxrYCDzUGYc6D2mPPhsI2RjGr/HSR9L5qLaclf1iyrW2oB6kT0ldqHb6T5lYvBBK5gadzVad/rN1zR9Z37V/kHGgq1udjI8efrq6jQf67eagy3PLpsuljqX/SsZLWbbqgpoTcSXnstdd340tyl3PjVN9QM0HtFX2rD9xTJ1K5qhe2iinTzCXru4u35yvkEM+N6DmJPV+Zgxhvus9NjmedtWPdadNlUE7j64foo4Yw952OUPei9WaU06qPdT8zaHOg7kylnkr5xigV+8j1JjYeRgLMq6+M7+UjZW+na9rVVLXGOe5X1BjpI4yR60LO1CX57jkfUsfYt6iXPvi14ZurspQ70vOZ0zGDq1ROCY2fjJuzaHWDulnZavdan+IOTKGXOsZLo5+Fw43GR98wIaqmwxyUbvQEzZG6jK/skeXzWSMlX6OcU7YcMbUTxdLGX03rufUg9QRrs23s6syOpfTS+c5V8zL+Cmjrw+vuzigTRe/Ys2eoeZoTziyVqlz2UcOcA5qL3IMMn7Kkn5TThjLPLqc8GmPHOdw3BxXvUM3/YL+IH3k3pO0R4cj++H8ob6BY5yTVV5SfWrP2TnBl4d0a18fiTZpn3lI1w/l7LN6tf+c7VnnAxmMzVjmpFzXOefaD+l6AF3/Ml+O/EY/9VcyaAvMJcaodUraijlnrXlOsreSMXM8a1VmnqPLr+Yq5msftM9YkLUxp76kXSdDtZG8xxmHmoQ5oFap8Y2lLuArewW1LxmzzknKoN+sDawBGKtrq7tvx8TWD7rqp7y1T8C8OlvmjJGyqJu2xMv7M1wc8zPpZ7zuda/bveQlLzm72u2e85zn7J761KeeXe12n/d5n7e7733ve3Z1mPyZdGCxC5vRRc/mWf2cF2iHn/QB+hbn2Sz6TJvOB7puXGXzq7ZdruhkvMS56r/2xOv0v9WXzGurl6nX5aG8iiPpJ3tufcfkXOlqYCzrAfVW+ec9rblBzkunV9nqETbOH4qpnD7O06dK+oXz+tIeaq+hqyHvj3X4Cd6qT5nXoXVZ8zdOvd+ZU9LpKlfflc4fdL0B9e0/rHwIuvag+3nzrOtyc858kprvedYLtufJp/ak3gtl0Xf+THpF39qr040zVucT5rr6zdVccj79ZA1V7nweIus1h6wF0rdj1c6fSb/rXa9d5pC+ofraWhc5d2j94Je9Yx9rPzsyl628VrGxqfdDuYJf/XT3OvvdsYpl7uf5mfSLfue6uTIv6cHtb3/73dve9razqxvyxje+8bqHwF3Prg7za2/9k/3ZzQZ8t8nG4JM+qBtyhXZuLO2T1OEFovrsfBg/WeVSc9VfPgzO86CopP9j+nKeXnZ1VlYPHqn1pn6XM9edH2Cuy3NFl3/a66/67e551tHpbq0Lxut9TR+V2jN1M8/qs5NXMczzkK9qn7Vuob/VGvM6YS71qk3S+cv8gTnyzT196F4lne+aS/rLe5a1Az6w9Zx0PmrfVmSOcChn/buu7deqPunylqwb8j4cm09n24Ft9oTr9FFzrLoJdt3zHvRZ74O6NW/o/EDm0HEofidv9Yux7msZtm9605t3D37APc9Gbsy3P/cFu89+5GP2Poi31T/IviDnPa5zKafeMZzXposN+qhypYtRfXpOP9rV8RoLPe5HfmDx8Xf7kL18LBf5znVzZX7cJfi6r/u6M+mG8N3deRcLC7bCd6f50GCRuyGEOb7T5azMJsCOM5tE+9TVN+fqE5xPH8YnV777X+XCRlRX8JebmoOHqjo5l/6dT9+QcylL1gqHeln1zaHmok0+fJRrvNSxVu1TlurHnKDmV3E+e1/vkzqM6Tfp7nnWkfEd53oVD7RVB8yDszJ5G7/6SBn0CZ3c+YbMQY6x39pHyvY99Wo8r2ufUi9lqP5zDsw55+hj6h26V919g0P9AH1j7/5SjzHAf45zzpxSBnP0yPw4pF5DzRnwT27GkarLkXL1nax8HZtP2uazobsv2Nb600fNv+o6zhm7bhz06XX6gIxZ56D6M/+upg78u4aqvOqXOTCPXs2JMf6Ky+O/8AlnIzfk2muv3X3O5z52n5O1V99ZF0etwdyy96APbCD19JXUa+hsqtw935Q59AHKjOd94YDOp6ScfpJVLPW8RxypeywX+c51c2U+SS9039lxfdvb3vbs6jj4JJ2FyyZxQSeMAxvLxZ1yJX2w4bY+AcG3vrrYiXms7OGQjy2q/5q74zXmVl9qPtVn1ZdDdejHLyZSc2ceVjlnnPSzxare7A9w3d1/YA69jL+iqy/JeMlN7TV+uz5lb1f3QbTLXFa+tuwTbHhZlVX+NeaqT5C60N3XjlVdKzKHrXzg2H4knf/Kysehfq16lP4yZh2vcVf5Sd6DY9fhsfmkLWStWzVkHl3+6qdupY5nDFjVIqv7UKm5d76OpfarY9Ufxu519zvu5eR5z3/R7qF/9+9dyuu8dam/+hTfOfM2H16Os5bM09zFuRWpC1lDzbNba1DrZhwd8jH/mlcXBzJW9Zv9RD7vJ+lwUe9cN1fmk/TCs571rDPpeviO7nIWCwvWjdN91ywucFBmg2BfvysWP4lgXj3Rt75W36VL5x8ylyRrWPnM8eo/P0Wpvh2HTq6+JH1C1fcgr0rWox/ktJOcFz8FAuNmf/I+rmSOVf6iHtQe5hx+jb11n6pd1cm5pPY6PwXLmraofYLsbXcfOt+ZS+Z+jL31ZvwuhnrVNzC+VW/qgnLV73LJGIynjnJ3r1KW1Hd+1Q99JukzbS+iX6seoWutXRzw+lB9KW/FAvPhenUfVvmgny9u5pJytYGM0eWcqFv91fHKqhbl1X3IOBzWBl2c9NnJub5qvzodyLyFsfpp+sfe8967R3z2I/eyPrfq6npsTpxrffryTAx0OHIMtDVe9mG1NpUr+gb708UzJqRNjjPW+YM6ru+MlTrQff07Lxf1znVzZT5Jb8jv7C73Ozp/Jn0LNmV+d4oMufGOxc3ffZef6NOYbixskTPmSqeijTmoc578IfvQyVu5QtrIVg21HvxRg37T9thaVj1PvynL5dQLVXeLY+27Hm3lC9bdxejIPh2yOeT7PPPIh+471L5U3/qEQ/3KXlW/XS6SMTrUrTWt5NQHrqvtMT4h84RVv/TDc6l+Mplkj8wvOSav1AGuU5ZVrFVugM0x/9LSsbrn6eNQzkn663S25rNeSZ3sTV6v8l3dixWH8oVOp8v7Db/2/+we/uBPPLt698+iQ/VR6zrU40Ngj61nONSrpNqmvEI/VW8V9xArf5nvMf54ofe943I+SYeLeOe6uXLjj02GSz8ndVO+o+OBxXfFnlnsKXOwqdgQ+Z0qOJ8wl9+N53fAoL/0pZ+MK/U7YuXuO2hRXvmE1EkO5Q/E8wtnlbdy1R9fRHlYJNW2+86faw58UJN+07bGWsndvQbPkLJkrK2cMyak7mqtKXekvTG6HtU66XW+5KCvjWSuVe7Wjzp1XRzyDfhThm4ev/jJevVb/Xd9SbTlUA9qv0BfXNd7mzGMY+5b91Jd6XxC+hdkDvPzfh/js+rIql/IjDO/soXsEXocx9Ta5Z7XdQ66WOrYe84pm785JSsbZfZK5qyceuk385H0m71mrHuOdjGQD62j7E1eQ5evc6Bc/a9iScZIHXN231Zfd7v7x+w+/UEP3evyKTo/iw5dnFqX/hLjWeOWTA6ck9or74uxah8yfs0FalztK6t7VOVjnqvguHOHfBE7c7gcLuKd6+bKfJK+4K53+ZDdK3/m5y/7lxf8mfSEBc4YZzYci1odFn1+muB8lZPqP8lYsNI1br5wQeqnDhzr86bk37HKVbb81Ro60OFhU+vrYgHz2NRP2Fb9WfWly7vmi8/sozbq8bJCHo6jv5K34nZYTyV9QuZX7zm6Xa+g9oXxzBO2fFfSbxcPakx9HqOTcq1hax8lqS81Hrb6qnIl/XXyqoZufaX/zhdrTZ81l4zX+al5dLXAsbVCl/sx8VY6gi467quaU8Y9RMYVfcvKbxejy6fifHKM3YpVvpX0X2Nxfd57kbaQ136a7s+ii7EzRnLo3h9LF6fmKfZvdW9XcrKqB4y7wly7OPo9ti9dbdhd7ifpwKfpr33ta+cXRgvzkr7gDW/9w93d7nz7s6vz8Ywv2d4swzAMwzDcdF71ut3uQfPntE+CZ7zg8l8n3/72t8+n6A03/PeP4RKX+4I+DMMwDMN7hnlBv3kwL+g985I+DMMwDMMwDCfGvKQPwzAMwzAMw4kxL+nDMAzDMAzDcGLMS/owDMMwDMMwnBjzkj4MwzAMwzAMJ8a8pA/DMAzDMAzDiTEv6cMwDMMwDMNwYsxL+jAMwzAMwzCcGPOSPgzDMAzDMAwnxrykD8MwDMMwDMOJMS/pwzAMwzAMw3BizEv6MAzDMAzDMJwY85I+DMMwDMMwDCfGvKQPwzAMwzAMw4kxL+nDMAzDMAzDcGLMS/owDMMwDMMwnBjzkj4MwzAMwzAMJ8a8pA/DMAzDMAzDiTEv6cMwDMMwDMNwYsxL+jAMwzAMwzCcGPOSPgzDMAzDMAwnxrykD8MwDMMwDMOJMS/pwzAMwzAMw3BizEv6MAzDMAzDMJwY85I+DMMwDMMwDCfGvKQPwzAMwzAMw4kxL+nDMAzDMAzDcGLMS/owDMMwDMMwnBjzkj4MwzAMwzAMJ8a8pA/DMAzDMAzDiTEv6cMwDMMwDMNwYsxL+jAMwzAMwzCcGPOSPgzDMAzDMAwnxrykD8MwDMMwDMOJcYu/vo4zeRiGYRiGYRiGE2A+SR+GYRiGYRiGE2Ne0odhGIZhGIbhxJiX9GEYhmEYhmE4MeYlfRiGYRiGYRhOjHlJH4ZhGIZhGIYTY17Sh2EYhmEYhuHEmJf0YRiGYRiGYTgx5iV9GIZhGIZhGE6MeUkfhmEYhmEYhhNjXtLfh3j729++e9WrXrV73etedzYyDMMwDMMw3ByZl/QT58/e+Ve7Jz3pSbu73vWuu9vd7na7Bz/4wbtP+IRP2N3ylrfafeInfuK8sA/DMAzDMNwMucVfX8eZPJwYfHL+uY/9/N0rf/LHz0ZuzDXX3HL3mte8enff+973bGQYhmEYhmF4X2c+ST9h8gX9qU996u6Nb3zjju+pOJ73/Bftx9/5zj/ff7L+pje9aX89DMMwDMMwvO8zL+knCj977gv6ox/zuN2zn/3s/Y+8yJOe8Ljdd3zHd5xd7XYveclLzqRhGIZhGIbT5DGPffz+x3Wf85znnI0MK+bHXU4Ufg79O7/zO/fy2972tt1tb3vbvVy5/e1vv5+/3/3ut3vta197NjoMwzAMw3B63OIWt9if573lMFfFJ+l8t8Z3bZ/xsEcsfyyEX8BEh+O9/aMj/Cy6L+gs4tULOtz//vffn3/hF35hfuRlGIZhGIb3CW57hw89k4YVV8VL+qd8yqfsX2L58ZFHP/rRZ6M35Au+6EsuvejyV1Tem/DJuDzsYQ87k3ryF0bf8pa3nEnDMAzDMAyny9v/4HfOpGHFVfGS/qAHPWj/c93Ai/iLX/zivSx80v76X77+Txm+7GUv2/zkWvi0m3+yOc/x2X//MWfW2+TL9n3uc58zqecjP/Ijz6Td7rd/+7fPpGEYhmEYhtNlPkk/zFXzi6Pf893fsbvlNR+4l7/8y798/5INnJ/2tKftZV7keaE/hmtu9cFn0vG8/pf+7zNpm1/91V89k67Pb4v8huKQ7jAMwzAMNw/4MV3+yATHCt4L1Dm1d4T5JP0wV81LOi+z/+QZ/3Qv8+MkvpjzZw6BH3HhRf5YbnXN++9+8Rd/cffTP/3TRx2vfvWr98cx5Ea6xz3ucSb13OlOdzqT5iV9GIZhGK4Wvuu7vmv/HxxyrP5SCu846rzht/5k9653vets5r3PfJJ+mKvur7vwi6H8yAvwZw19WefPGT7xiU/cy+9t2GzmxQv+1qf7fHfM5gPq4e+pD8MwDMNw84b/kfzDP+yOl36Pjf9LJf9Uc74fPOUpT9l967d+614+hO8fx8KP5T7ucdf/SPEx8OO/MH/d5TBX3Us6/zzEf/6TnNpC4S+78CcY4Twv6af0jcYwDMMwDFcWfsfu8Y9//F7+rEc+evdjP/IDe5l/Wf/4e91n95tv/fXdtddee/Rff0Pvoz7qo86ujuO871C+pD/koZ+5e8W/+7d7eei5an7cRfhrKPVF9tjvLt9T5I+45M+nd+Qvix760ZhhGIZhGG4+8Am2fxjj3/zoD+4/uINv/uZv3r+gwwte8IL9+Rj4JB5/vEDz8s35/g/4tN3fe8i9l2OPecxxfxSjMj+Tfpir7pN0vrvku8T8M4cssvN+N9f5OQTfHOT/ErriPD/Ckj8aw8/I559kHIZhGIbh5g3vI/7paD41/+Ef/uFLPzFw7HvHe5L5JP14rrpP0nmh9cWaBQL8/fT6ZxmP4Twv6PATP/ETZ9I2+aL9k6/8mTOp57W/8B/PpOs35zAMwzAMVw/8YQw+0IM3v/nNu4c85CF7mRd3x0+R+ST9MFfVJ+n5CTWfTn/913/97sPu9Dd3f/7Ov9wv5j/8wz/czx2L/6x0LPxN8/ylji3yF1y3btHtb3/7/TcL8x3pMAzDMFy95HsD8GMuX/zFX3x2dTrMJ+nHc1W9pPOCzHeZ+UKev6R5Sv8slD/GsvqF0Mz9RS960bl+u3oYhmEYhpsPn/GwR+x/MkAu949J8P7xjne84+xq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alt=\"unconfined aquifer with soils in parallel\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L)\r\n% h = water table elevation above the aquifer bottom\r\n% Qp = flow per unit width\r\n% x = locations where WTE is requested\r\n% K1 = hydraulic conductivity of upper layer\r\n% K2 = hydraulic conductivity of lower layer\r\n% b2 = thickness of lower layer\r\n% h0 = water table elevation on the left side (x = 0)\r\n% hL = water table elevation on the right side (x = L)\r\n% L = length of the aquifer\r\n\r\n Qp = mean([K1 K2])*(h0-hL)*b2/L;\r\n h = h0 + (hL-h0)*x/L;","test_suite":"%%\r\nx = [0 251.884 503.2297 754.0371 1004.3062 1254.0371 1503.2297 1751.884 2000];\r\nK1 = 900; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 8000; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 37; % Water table elevation on the left side (m)\r\nhL = 33; % Water table elevation on the right side (m)\r\nL = 2000; % Length of aquifer (m)\r\nb2 = 25; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 37:-0.5:33;\r\nQp_correct = 418;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 284.1463 558.5366 823.1707 1078.0488 1323.1707 1558.5366 1784.1463 2000];\r\nK1 = 8000; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 900; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 37; % Water table elevation on the left side (m)\r\nhL = 33; % Water table elevation on the right side (m)\r\nL = 2000; % Length of aquifer (m)\r\nb2 = 25; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 37:-0.5:33;\r\nQp_correct = 205;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 230.8945 460.1048 687.631 913.4731 1137.631 1360.1048 1580.8945 1800];\r\nK1 = 4; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 50; % Water table elevation on the left side (m)\r\nhL = 48; % Water table elevation on the right side (m)\r\nL = 1800; % Length of aquifer (m)\r\nb2 = 16; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 50:-0.25:48;\r\nQp_correct = 0.1484;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 225.2925 450.5015 675.6269 900.6686 1125.6269 1350.5015 1575.2925 1800];\r\nK1 = 0.1; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 4; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 50; % Water table elevation on the left side (m)\r\nhL = 48; % Water table elevation on the right side (m)\r\nL = 1800; % Length of aquifer (m)\r\nb2 = 16; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 50:-0.25:48;\r\nQp_correct = 7.48e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 2.6558 5.2033 7.6423 9.9729 12.1951 14.3089 16.3144 18.2114 20];\r\nK1 = 0.5; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7; % Water table elevation on the left side (m)\r\nhL = 2.8; % Water table elevation on the right side (m)\r\nL = 20; % Length of aquifer (m)\r\nb2 = 1.5; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.613e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 2.6558 5.2033 7.6423 9.9729 12.1951 14.3089 16.3144 18.2114 20];\r\nK1 = 0.5; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7; % Water table elevation on the left side (m)\r\nhL = 2.8; % Water table elevation on the right side (m)\r\nL = 20; % Length of aquifer (m)\r\nb2 = 1.5; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.613e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 2.3183 4.6126 6.8829 9.1291 11.3514 13.5495 15.7237 17.8739 20];\r\nK1 = 0.1; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.5; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7; % Water table elevation on the left side (m)\r\nhL = 2.8; % Water table elevation on the right side (m)\r\nL = 20; % Length of aquifer (m)\r\nb2 = 1.5; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.163e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:325:1300;\r\nK1 = 5; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 5; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 10; % Water table elevation on the left side (m)\r\nhL = 9; % Water table elevation on the right side (m)\r\nL = 1300; % Length of aquifer (m)\r\nb2 = 4; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = [10 9.7596 9.5131 9.2601 9];\r\nQp_correct = 3.65e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nfiletext = fileread('unconfParallel.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-30T19:04:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-30T15:05:42.000Z","updated_at":"2023-09-30T19:04:22.000Z","published_at":"2023-09-30T15:09:18.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e varies with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, so does \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff = (1/h)[(K2-K1) b2 + K1(h-b2)]\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff} = \\\\frac{1}{h}[K_2 b_2 + K_1(h-b_2)]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen using Darcy’s law as in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, one can write the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e through the aquifer as\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -Keff(dh/dx)A = -Keff(dh/dx)hw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K_{eff} \\\\frac{dh}{dx} A = -K_{eff} \\\\frac{dh}{dx} h w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConservation of mass says that in steady one-dimensional flow, the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(0) = h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(0) = h_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(L) = hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(L) = h_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to determine the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the constant of integration. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"341\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"559\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" 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a scheme to dewater a construction area","description":"In addition to supplying water and capturing contaminants, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation at least a value over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than . \r\nThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\r\n\r\nwhere is the hydraulic conductivity, is the pumping rate of the th well, is the radius of influence, and is the distance from the th well to the point in question. \r\nWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 825.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 412.8px; transform-origin: 407px 412.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.0083px 8px; transform-origin: 42.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn addition to \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/57452\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esupplying water\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59104\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ecapturing contaminants\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 205.442px 8px; transform-origin: 205.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.95px 8px; transform-origin: 50.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at least a value \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24\" height=\"20\" alt=\"smin\" style=\"width: 24px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.2917px 8px; transform-origin: 67.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"87\" height=\"20\" alt=\"hmax = H - smin\" style=\"width: 87px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.417px 8px; transform-origin: 373.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 48.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 24.45px; text-align: left; transform-origin: 384px 24.45px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"190.5\" height=\"49\" alt=\"h = sqrt(H^2 - (1/(pi K) sum(Qj ln(R/rj))\" style=\"width: 190.5px; height: 49px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.5px 8px; transform-origin: 90.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the hydraulic conductivity, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Qj\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8417px 8px; transform-origin: 82.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the pumping rate of the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ej\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.725px 8px; transform-origin: 23.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth well, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radius of influence, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14\" height=\"20\" alt=\"rj\" style=\"width: 14px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.6083px 8px; transform-origin: 20.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the distance from the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ej\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.075px 8px; transform-origin: 96.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth well to the point in question. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379.117px 8px; transform-origin: 379.117px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 476.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 238.35px; text-align: left; transform-origin: 384px 238.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"614\" height=\"471\" style=\"vertical-align: baseline;width: 614px;height: 471px\" 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\" alt=\"dewatering scheme\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin)\r\n% tf = true if well system achieves minimum drawdown everywhere, false otherwise\r\n% smin1 = min drawdown achieved\r\n% xmin, ymin = coordinates of the minimum drawdown\r\n% xw, yw = coordinates of the wells\r\n% Q0 = common pumping rate OR vector of pumping rates\r\n% R = radius of influence\r\n% Lx = length of construction area\r\n% Ly = width of construction area\r\n% K = hydraulic conductivity\r\n% H = initial elevation of the water table\r\n% smin = minimum drawdown required\r\n\r\n h = sqrt(H^2-Q*Lx/K*Ly);\r\n tf = all(H-h\u003csmin);\r\n [smin1,[xmin ymin]] = max(H-h);","test_suite":"%% Prep assignment--modified\r\nxw = -50; % x-coordinates of the wells (m)\r\nyw = 0; % y-coordinates of the wells (m)\r\nQ0 = 661.6; % Pumping rates (m3/d)\r\nR = 450; % Radius of influence (m)\r\nLx = 250; % Length of construction area (m)\r\nLy = 100; % Width of construction area (m)\r\nK = 0.1; % Hydraulic conductivity (m/d)\r\nH = 85; % Initial saturated thickness (m)\r\nsmin = 5; % Minimum drawdown (m)\r\ntf = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nassert(tf)\r\n\r\n%% Fall 2020, exam 2, problem 4a\r\nxw = [0 200 400]; % x-coordinates of the wells (m)\r\nyw = [-125 125 -125]; % y-coordinates of the wells (m)\r\nQ0 = 1331.2; % Pumping rates (m3/d)\r\nR = 750; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 200; % Width of construction area (m)\r\nK = 3; % Hydraulic conductivity (m/d)\r\nH = 45; % Initial saturated thickness (m)\r\nsmin = 5; % Minimum drawdown (m)\r\ntf = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nassert(tf)\r\n\r\n%% Fall 2020, exam 2, problem 4c--with pumping rate from part a\r\nxw = [0 200 400 1000]; % x-coordinates of the wells (m)\r\nyw = [-125 125 -125 -125]; % y-coordinates of the wells (m)\r\nQ0 = 1331.2*[1 1 1 -1]; % Pumping rates (m3/d)\r\nR = 750; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 200; % Width of construction area (m)\r\nK = 3; % Hydraulic conductivity (m/d)\r\nH = 45; % Initial saturated thickness (m)\r\nsmin = 5; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 100;\r\nsmin1_correct = 4.723;\r\nassert(~tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% Fall 2020, exam 2, problem 4c--with higher pumping rate\r\nxw = [0 200 400 1000]; % x-coordinates of the wells (m)\r\nyw = [-125 125 -125 -125]; % y-coordinates of the wells (m)\r\nQ0 = 1410*[1 1 1 -1]; % Pumping rates (m3/d)\r\nR = 750; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 200; % Width of construction area (m)\r\nK = 3; % Hydraulic conductivity (m/d)\r\nH = 45; % Initial saturated thickness (m)\r\nsmin = 5; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 100;\r\nsmin1_correct = 5.02;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% Fall 2022, exam 2, problem 2\r\nxw = [100 100 700 700]; % x-coordinates of the wells (m)\r\nyw = [-200 200 -200 200]; % y-coordinates of the wells (m)\r\nQ0 = 944*[1 1 -1 -1]; % Pumping rates (m3/d)\r\nR = 650; % Radius of influence (m)\r\nLx = 200; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 2; % Hydraulic conductivity (m/d)\r\nH = 35; % Initial saturated thickness (m)\r\nsmin = 4; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 200;\r\nymin_correct = 0;\r\nsmin1_correct = 4.001;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 135 450 210]; % x-coordinates of the wells (m)\r\nyw = [-80 200 135 -200]; % y-coordinates of the wells (m)\r\nQ0 = 640; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = -150;\r\nsmin1_correct = 6;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 135 450 210]; % x-coordinates of the wells (m)\r\nyw = [-80 200 -50 -200]; % y-coordinates of the wells (m)\r\nQ0 = 638; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 150;\r\nsmin1_correct = 6;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 -50 100 200 300 450 450 100 200 300]; % x-coordinates of the wells (m)\r\nyw = [-75 75 200 200 200 -75 75 -200 -200 -200]; % y-coordinates of the wells (m)\r\nQ0 = 200; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 5.5;\r\nassert(~tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3 \u0026\u0026 abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 -50 50 200 350 450 450 50 200 350]; % x-coordinates of the wells (m)\r\nyw = [-75 75 200 200 200 -75 75 -200 -200 -200]; % y-coordinates of the wells (m)\r\nQ0 = 200; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 5.62;\r\nassert(~tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3 \u0026\u0026 abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 -50 0 200 400 450 450 0 200 400]; % x-coordinates of the wells (m)\r\nyw = [-75 75 200 200 200 -75 75 -200 -200 -200]; % y-coordinates of the wells (m)\r\nQ0 = 200; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 82.4;\r\nymin_correct = 150;\r\nsmin1_correct = 5.66;\r\nassert(~tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-2 || abs(Lx-xmin-xmin_correct)/xmin_correct\u003c1e-2)\r\nassert(abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxL = 80:80:320;\r\nyL = 200*ones(1,4);\r\nxw = [-50 -50 xL 450 450 xL]; % x-coordinates of the wells (m)\r\nyw = [-75 75 yL -75 75 -yL]; % y-coordinates of the wells (m)\r\nQ0 = 200; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 6.65;\r\nassert(tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3)\r\nassert(abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-16T05:19:15.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-16T05:10:49.000Z","updated_at":"2026-02-12T14:57:15.000Z","published_at":"2023-10-16T05:19:15.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn addition to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/57452\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esupplying water\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59104\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecapturing contaminants\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at least a value \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"smin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{min}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hmax = H - smin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_{max} = H – s_{min}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h = sqrt(H^2 - (1/(pi K) sum(Qj ln(R/rj))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh = \\\\sqrt{H^2-\\\\frac{1}{\\\\pi K} \\\\sum_{j=1}^N Q_j \\\\ln\\\\left(\\\\frac{R}{r_j}\\\\right)}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hydraulic conductivity, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Qj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the pumping rate of the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"j\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth well, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radius of influence, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the distance from the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"j\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth well to the point in question. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"471\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"614\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"dewatering scheme\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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the hydraulic conductivity with a falling-head permeameter","description":"A falling-head permeameter is another device for measuring the hydraulic conductivity of a soil sample. In this problem the sample is placed in a cylinder of length and cross-sectional area . Unlike the constant-head permeameter, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area ) that falls. In other words, the head difference , or the difference between the water levels in the tube and the outlet, decreases in time. \r\nThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\r\n\r\nDarcy’s law applies when a Reynolds number based on the specific discharge and representative diameter of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere is the kinematic viscosity of the fluid.\r\nDerive and solve an ordinary differential equation for the head difference . Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the previous problem. Use and .\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 902px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 451px; transform-origin: 407px 451px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 272.5px 8px; transform-origin: 272.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 103px 8px; transform-origin: 103px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82px 8px; transform-origin: 82px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_c\" style=\"width: 16.5px; height: 20px;\" width=\"16.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37px 8px; transform-origin: 37px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Unlike the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003econstant-head permeameter\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.5px 8px; transform-origin: 11.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_t\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147px 8px; transform-origin: 147px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) that falls. In other words, the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145px 8px; transform-origin: 145px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378px 8px; transform-origin: 378px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 246px 8px; transform-origin: 246px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93px 8px; transform-origin: 93px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116px 8px; transform-origin: 116px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 73.5px; text-align: left; transform-origin: 384px 73.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 231.5px 8px; transform-origin: 231.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDerive and solve an ordinary differential equation for the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132px 8px; transform-origin: 132px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eprevious problem\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 981 cm/s^2\" style=\"width: 90.5px; height: 19.5px;\" width=\"90.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"nu = 10^{-2} cm^2/s\" style=\"width: 94px; height: 19.5px;\" width=\"94\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 359px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 179.5px; text-align: left; transform-origin: 384px 179.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: middle;width: 401px;height: 359px\" 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alt=\"falling-head permeameter\" data-image-state=\"image-loaded\" width=\"401\" height=\"359\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n)\r\n K = f(delta,t,L,Dc,Dt);\r\n isDLvalid = (Re \u003c 1);\r\nend","test_suite":"%%\r\nDc = 11.28; % Diameter of cylinder holding sample (cm)\r\nDt = 2.26; % Diameter of tube (cm)\r\nL = 10; % Sample length (cm)\r\nn = 0.15; % Porosity\r\nt = [0 1 2 5 10 15 20 25]*86400; % Time (sec)\r\ndelta = [5 4.6 4.4 3.4 3.1 1.8 1.4 0.9]; % Head difference (cm)\r\nK_correct = 3.08e-7;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 8; % Diameter of cylinder holding sample (cm)\r\nDt = 2; % Diameter of tube (cm)\r\nL = 15; % Sample length (cm)\r\nn = 0.25; % Porosity\r\nt = 0:60:420; % Time (sec)\r\ndelta = [25 20.63 17.03 14.05 11.60 9.57 7.9 6.52]; % Head difference (cm)\r\nK_correct = 3e-3;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 7.5; % Diameter of cylinder holding sample (cm)\r\nDt = 1.75; % Diameter of tube (cm)\r\nL = 7.6; % Sample length (cm)\r\nn = 0.2; % Porosity\r\nt = [0 1.25 2.36 3.74 5.40 7.20 9.28 12.08]; % Time (sec)\r\ndelta = 88.9:-10:18.9; % Head difference (cm)\r\nK_correct = 5.25e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6; % Diameter of cylinder holding sample (cm)\r\nDt = 1.5; % Diameter of tube (cm)\r\nL = 7.5; % Sample length (cm)\r\nn = 0.2; % Porosity\r\nt = [0 1.06 2.11 3.62 4.88 6.53 8.39 10.67 13.52 17.37]; % Time (sec)\r\ndelta = [56.02 50.36 44.7 39.05 33.39 27.73 22.07 16.41 10.75 5.09]; % Head difference (cm)\r\nK_correct = 3.89e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6; % Diameter of cylinder holding sample (cm)\r\nDt = 1.5; % Diameter of tube (cm)\r\nL = 7.5; % Sample length (cm)\r\nn = 0.2; % Porosity\r\nt = [0 2.28 5.13 8.98]; % Time (sec)\r\ndelta = [22.07 16.41 10.75 5.09]; % Head difference (cm)\r\nK_correct = 4.79e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 8; % Diameter of cylinder holding sample (cm)\r\nDt = 2.5; % Diameter of tube (cm)\r\nL = 15; % Sample length (cm)\r\nn = 0.18; % Porosity\r\nt = 0:7200:50400; % Time (sec)\r\ndelta = [50 43.15 37.23 32.13 27.72 23.92 20.64 17.81]; % Head difference (cm)\r\nK_correct = 2.99e-5;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2022-10-01T17:35:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-01T17:35:38.000Z","updated_at":"2026-02-10T14:28:46.000Z","published_at":"2022-10-01T17:35:57.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Unlike the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003econstant-head permeameter\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_t\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) that falls. In other words, the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDerive and solve an ordinary differential equation for the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eprevious problem\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Use \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 981 cm/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 981\\\\rm\\\\,cm/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-2} cm^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 10^{-2}\\\\rm\\\\,cm^2/s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"359\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"401\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"falling-head permeameter\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":52070,"title":"Compute the effective conductivity of a heterogeneous aquifer","description":"Slow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water to the gradient in piezometric head by\r\n\r\nwhere is the conductivity of the soil and is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow (and the specific discharge ) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \r\nSome aquifers, or underground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of set such that the aquifer produces the same flow under the same total change in head. \r\nFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If is 2 m/d (meters/day) and is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \r\nWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 634px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 317px; transform-origin: 407px 317px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.833px 7.91667px; transform-origin: 311.833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSlow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56.0083px 7.91667px; transform-origin: 56.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the gradient in piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"dh/dx\" style=\"width: 39.5px; height: 19px;\" width=\"39.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.33333px 7.91667px; transform-origin: 9.33333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8333px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4167px; text-align: left; transform-origin: 384px 17.4167px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKoAAABGCAYAAABc8A97AAAGTklEQVR4nO2dz5HiPBDFXw7c9ujrHkjAERABEXxkwHkvkwJVmwEhkAMpEAMpfHuwu/QsJOuPDRjzflU+zIgBj/zU6m61BCCEEEIIIYQQQohsmnffgBAhtgBaAEcAJwB7r70BsOvbLwA2L707IeAEegfwf3+xEE2c1nZ79Q0KwZgYr5F2E+rpZXckRIAbOiEeA20tnFB3r7wpIZgGTohtoP2nb7tD/ql4IweMC/Hat19eeVNC+JwRF+IGztqG3AIhnsIGLtV06H9nQjwEXr+j9i39vulff/R+L8QkNnBpqDM6X/QEN637QjROcG6BccAwnXWHFgnEDDRwgvST+Sy2EJYNOPc/m7htEUDZADELDZz1C03tY/lRzgbs0UX/Z2r/oXZZVFHNBuMRuy9Enz2G/qu/KmXvHbPGi2YDN/oudB2gUccc0VmnS+DiAKXFY19e0FnA1HR7xLgPyUIMpaUsG3DrL/ZhORtwfvzTyRzxpCxDA+d43/oPafG4lvzzjA//YMwHNEGFEu7AcL09pw/ZWsaWPe15xZZNOWDyLe5upG0qdu+x+6pmj7QQt9B6cQgWYMyCmOW7Iz9oMWsaW21K5Uf5eYUE80z/1Ppk1pUwG5U5CWF+raLEoVhi6SET6TXSHiP1sFNC5vbQs3rWahVb6lifFMOjKueG+Sa0HDfsjxseBWX9W+MDjllDtpYsZLaMLHQfHmCWSZjDqm4wdIVmMWjsiOcmfLkKJ+bAfxM80FmMDTqh3BFOKeUQE+qG3psNxh5Dl2zMTeMB1qAT/hXTn+cRnVB55p0U03BurmQN2Bfqt0//bD1MkDt0fXtDPLDKwSJ2Dnba/n0PGApxj2HqKZXItwFms8Bl4r0CTlM77/4mZRRY8SUOr+9/fLNQOSo3y8RT/dSptMXQmNizMtFym7+9JFXWxwHgWKaihDOc9WeDVh35+x1cEsGzg14SLe4RzjeWXksqnvBdJwtO5syIcOHIHkPRWdowFsDZ38Te14pa5nDfTJh2L36QWfUZ7FeVRmX+SMy9AV/gtdeShMqzUu3AXwtXPP7fbPGrnhtX24Qi1TH4gZRE/Q3c4sGUa0nwg/BFu6QB9WysEsufXdmoVbmItaPf909ro9lXscV0VyNn8cOmNhbrt6TuNuhEGuonnrmLI38/ai8RG0ehpZb4Hfj/a80Vi1g5qrVgwff9vyHQNDGGBjlnRIoj/9r0kv8Qlm5NgW4gTXU1YsFibN2effHZ17kXhs0qB4T7LjSYs6kd9Tyt1TyAtUX93IfsO9tU+EkDupYLxrUwOfLnjswRKlvhG+ryg2uK+tlXD2U+Don2XH6/4crF+iCln0nPrmR5iy3ElMTwmqL+nPoI9s9qlhD/Yp6BXXr9l3l/N+TNrJMif14+Havs5ury0sqfNcPpvVRZn/Vx6Sz0C8CfN1w52OyYI7zSGtwHuCPPeJye/PrUpUf4r6LEx+fXrSVdtYXTRY4mOFNU3QeWZzTfk9MKd3Qugqxoh+2lZ2tqM00L99As0xDyyc/eaz8NNl42m8T00QZen/qbJOYY//QfIHE+kkp1+ULNee2nEfpfxoQau6r0ZS5ASULWai210W+5NFjR8/GLU+4Y7o6M7XqcUgwsnsMW3bRqu10/YeUwCZ+6kbrYdzUxf8PS4Kexxcq2CVnxhF+H2KIbjTEBX6Ho/xNIpc1Wh315wSc7/98GV3QpIBaLxZZuV+GfivViccQzjucRYhZC+/SFeDu2h992Ifj79JktOvHagW7sFtjhwHYInhCzsIOrXLI04QluqfLmvd5O1Asd28RFR5bZkW8rJmP1A76guF54bA+clR5aed4ZLuV4gPLjYgZMpKHCdRbqmNj4LH8721WI2Ugdz5P6jimDSztrd2oIEYRPx4tZwLHvmGK4llaHMYtZ4f1Xoa04vFUoZ9nURP+Np7mIJ2LCiq028XSeWjb1NyUKMQupL4NgtyC1bGr75DhNpXoAMQsczaeOzDEh26G8Ple4b7UJrWAtZYev+EDGvtxjj2Gy3so2QwfynjC0yH5w5p9ULUQxfD6AHZ1jB+ayf2q1xJa456J3f4GA86n8dZNCVNPicSfnCZ3weBq/weVY/TOfxhYIJFIxK7Ei9phPaoXvMZpEuxBCCCGEEEIIIYQQQgghRBn/AIVPgzHP7TJeAAAAAElFTkSuQmCC\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 7.91667px; transform-origin: 21.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.625px 7.91667px; transform-origin: 104.625px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the conductivity of the soil and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 244.283px 7.91667px; transform-origin: 244.283px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.1333px 7.91667px; transform-origin: 87.1333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (and the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 19px;\" width=\"57.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 227.95px 7.91667px; transform-origin: 227.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.175px 7.91667px; transform-origin: 57.175px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSome aquifers, or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 325.6px 7.91667px; transform-origin: 325.6px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eunderground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 252.433px 7.91667px; transform-origin: 252.433px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e set such that the aquifer produces the same flow under the same total change in head. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.625px; text-align: left; transform-origin: 384px 31.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.917px 7.91667px; transform-origin: 376.917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K1\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.225px 7.91667px; transform-origin: 83.225px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 2 m/d (meters/day) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K2\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 251.125px 7.91667px; transform-origin: 251.125px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.242px 7.91667px; transform-origin: 376.242px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 208.917px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 104.458px; text-align: left; transform-origin: 384px 104.458px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 382px;height: 203px\" src=\"data:image/png;base64,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\" alt=\"Aquifers in series and parallel\" data-image-state=\"image-loaded\" width=\"382\" height=\"203\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Keff = effectiveConductivity(K)\r\n Keff = mean(K);\r\nend","test_suite":"%%\r\nK1 = 2;\r\nK2 = 6;\r\nK = K1*ones(4);\r\nK(:,1:2) = K2;\r\nKeff_correct = 3;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK = K1*ones(4);\r\nK(:,3:4) = K2;\r\nKeff_correct = 3;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK = K1*ones(4);\r\nK(1:2,:) = K2;\r\nKeff_correct = 4;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK = K1*ones(4);\r\nK(3:4,:) = K2;\r\nKeff_correct = 4;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10*rand;\r\nK = K1*ones(7);\r\nKeff_correct = K1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK = K1*ones(10);\r\nK(:,10) = K2;\r\nKeff_correct = 5.2632;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK = K1*ones(10);\r\nK(:,5) = K2;\r\nKeff_correct = 5.2632;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK = K1*ones(10);\r\nK(10,:) = K2;\r\nKeff_correct = 9.1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK = K1*ones(10);\r\nK(5,:) = K2;\r\nKeff_correct = 9.1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 4;\r\nK2 = 1;\r\nK3 = 8;\r\nK = K1*ones(8);\r\nK(4:6,:) = K2;\r\nK(7:8,:) = K3;\r\nKeff_correct = 3.875;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 4;\r\nK2 = 1;\r\nK3 = 8;\r\nK = K1*ones(8);\r\nK(:,4:6) = K2;\r\nK(:,7:8) = K3;\r\nKeff_correct = 2;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 1;\r\nK2 = 2;\r\nK3 = 3;\r\nK4 = 4;\r\nK = K1*ones(10);\r\nK(5:7,:) = K2;\r\nK(8:9,:) = K3;\r\nK(10,:) = K4;\r\nKeff_correct = 2;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 1;\r\nK2 = 2;\r\nK3 = 3;\r\nK4 = 4;\r\nK = K1*ones(10);\r\nK(:,5:7) = K2;\r\nK(:,8:9) = K3;\r\nK(:,10) = K4;\r\nKeff_correct = 1.5584;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-17T14:24:44.000Z","updated_at":"2026-03-16T13:48:00.000Z","published_at":"2021-06-17T14:30:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSlow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to the gradient in piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the conductivity of the soil and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (and the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSome aquifers, or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eunderground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e set such that the aquifer produces the same flow under the same total change in head. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 2 m/d (meters/day) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59007,"title":"Compute head profiles for steady 1D flow through soils in series","description":"Cody Problem 58966 involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and Cody Problem 52070 involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\r\nWrite a function to compute the head at specified points for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at and , and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 156px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78px; transform-origin: 407px 78px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 308.35px 8px; transform-origin: 308.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116.167px 8px; transform-origin: 116.167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at specified points \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.467px 8px; transform-origin: 187.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function h = flowInSeries(x,xb,K,h0,hL,isconfined)\r\n h = interp1(xb,linspace(h0,hL,length(xb)),x);\r\nend","test_suite":"%%\r\nx = 0:100:900; % Positions where head is requested (m)\r\nxb = [0 600 900]; % Locations of boundaries of soil units (m)\r\nK = [3e-6 1e-4]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 10; % Head at x = 0 (m)\r\nhL = 9; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [10 9.8358 9.6716 9.5074 9.3432 9.179 9.0148 9.0099 9.0049 9];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:50:700; % Positions where head is requested (m)\r\nxb = [0 450 700]; % Locations of boundaries of soil units (m)\r\nK = [2 0.3]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 25; % Head at x = 0 (m)\r\nhL = 22; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [25 24.9333 24.8664 24.7994 24.7321 24.6647 24.5971 24.5293 24.4613 24.3931 23.9336 23.4652 22.9872 22.499 22];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200; % Positions where head is requested (m)\r\nxb = [0 1500]; % Locations of boundaries of soil units (m)\r\nK = 100*rand; % Hydraulic conductivities of soil units (m/d)\r\nh0 = 13; % Head at x = 0 (m)\r\nhL = 12; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 100:100:1400; % Positions where head is requested (m)\r\nxb = [0 1500]; % Locations of boundaries of soil units (m)\r\nK = 50*rand; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 21; % Head at x = 0 (m)\r\nhL = 19; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [20.8726 20.7445 20.6155 20.4858 20.3552 20.2237 20.0915 19.9583 19.8242 19.6893 19.5533 19.4165 19.2787 19.1398];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [1 0.2 30]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8649 37.7297 37.5946 37.4595 36.7838 36.1081 35.4324 34.7568 34.0811 33.4054 32.7297 32.0541 32.0495 32.045 32.0405 32.036 32.0315 32.027 32.0225 32.018 32.0135 32.009 32.0045 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [0.2 30 1]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.0702 36.1405 35.2107 34.281 34.2748 34.2686 34.2624 34.2562 34.25 34.2438 34.2376 34.2314 34.0455 33.8595 33.6736 33.4876 33.3017 33.1157 32.9298 32.7438 32.5579 32.3719 32.186 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [30 1 0.2]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9971 37.9941 37.9912 37.9883 37.9002 37.8121 37.7241 37.636 37.5479 37.4599 37.3718 37.2838 36.8434 36.4031 35.9628 35.5225 35.0822 34.6419 34.2016 33.7613 33.3209 32.8806 32.4403 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [1 0.2 30]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8753 37.7502 37.6247 37.4988 36.8628 36.2156 35.5566 34.8851 34.2005 33.5019 32.7884 32.0591 32.0541 32.0492 32.0443 32.0394 32.0345 32.0295 32.0246 32.0197 32.0148 32.0099 32.0049 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [0.2 30 1]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.1338 36.2469 35.3377 34.4045 34.3982 34.3919 34.3856 34.3793 34.373 34.3666 34.3603 34.354 34.164 33.973 33.7809 33.5877 33.3933 33.1979 33.0013 32.8034 32.6044 32.4042 32.2027 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000; % Positions where head is requested (m)\r\nxb = [0 1000 3000 6000]; % Locations of boundaries of soil units (m)\r\nK = [30 1 0.2]; % Hydraulic conductivities of soil units (m/s)\r\nh0 = 38; % Head at x = 0 (m)\r\nhL = 32; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9973 37.9946 37.9919 37.9892 37.908 37.8266 37.745 37.6633 37.5813 37.4992 37.4169 37.3345 36.9194 36.4996 36.0749 35.6451 35.2101 34.7697 34.3236 33.8716 33.4136 32.9491 32.478 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200; % Positions where head is requested (m)\r\nxb = [0 unique(100*randi(14,1,randi(6))) 1500]; % Locations of boundaries of soil units (m)\r\nK0 = 100*rand; % Hydraulic conductivity of soil units (m/d)\r\nK = repelem(K0,length(xb)-1); % Hydraulic conductivities of soil units (m/d)\r\nh0 = 13; % Head at x = 0 (m)\r\nhL = 12; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6))); % Locations of interfaces of soil units\r\nxb = [0 xi 1500]; % Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1); % Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand; % Head at x = 0 (m)\r\nhL = 25*rand; % Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6))); % Locations of interfaces of soil units\r\nxb = [0 xi 1500]; % Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1); % Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand; % Head at x = 0 (m)\r\nhL = 25*rand; % Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h.^2)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nfiletext = fileread('flowInSeries.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-24T14:39:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-24T14:38:53.000Z","updated_at":"2026-02-12T13:44:49.000Z","published_at":"2023-09-24T14:39:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at specified points \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59147,"title":"Determine aquifer properties: steady pump test in a leaky confined aquifer","description":"Problem statement\r\nWrite a function to determine the hydraulic conductivity of a leaky confined aquifer and the hydraulic conductivity of the leaky confining layer given the pumping rate and radius of the well, the drawdowns measured at distances from the well, and the thicknesses and of the leaky confined aquifer and the leaking confining layer, respectively. \r\nBackground\r\nCody Problem 59002 dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in other pumping tests, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\r\nAn analytical solution for the drawdown can be determined by solving the equation\r\n\r\nwith the boundary conditions that the drawdown far from the well is zero (i.e., ) and the flow at the well is . Using Darcy’s law and the convention that flow to the well is positive, one finds\r\n\r\nThe governing equation is related to the one in Cody Problem 51783, and it is the polar coordinates version of the equation in Cody Problem 59002. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 819.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 409.55px; transform-origin: 407px 409.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 179.325px 8px; transform-origin: 179.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a leaky confined aquifer and the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"18\" alt=\"K'\" style=\"width: 19px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the leaky confining layer given the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.5667px 8px; transform-origin: 36.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"rw\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86.35px 8px; transform-origin: 86.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the well, the drawdowns \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.2917px 8px; transform-origin: 74.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e measured at distances \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the well, and the thicknesses \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"18\" alt=\"b'\" style=\"width: 15px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.767px 8px; transform-origin: 229.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the leaky confined aquifer and the leaking confining layer, respectively. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59002\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 59002\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 310.817px 8px; transform-origin: 310.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/49743\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eother pumping tests\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 215.092px 8px; transform-origin: 215.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 254.808px 8px; transform-origin: 254.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn analytical solution for the drawdown can be determined by solving the equation\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"136.5\" height=\"36.5\" alt=\"d2s/dr2 + (1/r)ds/dr - K's/Kbb' = 0\" style=\"width: 136.5px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 239.6px 8px; transform-origin: 239.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewith the boundary conditions that the drawdown far from the well is zero (i.e., \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHkAAAAlCAYAAABmtkbFAAAFO0lEQVR4Xu2bS6hNYRTH752TYsSAwoA8B16RiQGlpChkJAOPgSRRZEwxkoFHBjcTj5KJFAOKlMdIiAEDBowoMWf9ai+ts8/+Xvvsffa+9+xTq3O793usb/3X+q/1rb3v+Fj3mfIWGJ/yJ+wOONaBPAJO0IHcgTywBVbLCvNFbg+8UrkFFsi0VQ3uX07rimfVGckAfElkq8jPivVOWe68DJ4nsjtl0lQaWxfIAHxDZEPDACtWyiQjCXQdIM8Uy34R2SnyqEUR8UJ0mRC50iKdUlUh/ZzNmIm5c0XeipwRee1arA6QMSYgty1qYJfHIitFPqdatwXjD4kOl0VeitgUCEvtErkmcrBIz6pB3iybPBRZ2FJDYhDy87oWgJaigtr1T4GTwpzvRGaLnBY5l1+4apDbGsV6bjXWGh+9pVh/SGO/ZSDecTDkKfk9NI4T4MQ9hW6VIEOHr0T2iDR1ZYqxOQZ75jBWzPxhj1GaZt/DIkU1hdqeMRdETlolqwT5qix8QGRW3pOGbZXAfjggOW16y/RyqUP6g4H4+Bjobzbmo3wvrgvkD9nCPRu00JBKbZOFshU8qNjnmKTKtZm9ewItFMlUyMdEloi8F5kh8lRkr0ie+1GGyi+lqGH9/cZTv8vPPirFo4+LrBeZJsLBH4hAY7ENF83LLuprk19yZfqUKZQC8haZ8//66gNZjYHhN4pw7dBryG/5eakxrOaEvnzgsZiW/tALn0VmbFEVaXNTftmi8a6t9VwpuupadM9OVOAFsSyiurJlCsg9VbYPZM0FeY4HnOUilpZTDYexiCQqQi358dr7BmwLHBF/KzMubAGbwCrbRLg6xBjBYgPruCpVH4ZNghxiSa2J0D8ZZCbZey8G3yFimx0pIHOv++Exsi00AHqTCE0M2GOfSL6LpoyAnrEUXCa1+MCv6282kjk3NOz6WAeMBtnSY8iLUkDWwqcnbxjNcYLnIkrfAA3A20VcrTstOkKG0G0mI8i10DUGoWJWY/tyWArIGnm+vGTvfehR2MkxjqF0Tv0wJxBWyiTONmBdYVliXdWVqSkgRxdeLKyFFpUsH1ejQ6vAmGJGo84VyWoLSz99d7+cwdQYIUMwLcUhS+BS+RRYTG8SMVcoTXH/WS90hUJjS9s+I8ZSoIIciiTrxTHRHLu/glymMzfswotz2xrF90xAnaGPzYpAJmfmm9z2ou2KQMbw6CtEl2qowj6riQPtTCmL8CcXxadQsO5f5iFKEyDbIAsxKTbqC54ikImIvAHsFca1kRZUobamXauIhgHsZkar0D9XJdqlfFz3YfYmb1OJO5+rZmsQGcsinLFy3h1gwZQHFH2PUvMgK5XlCx37qKvvKUemvOblmGuMKq3A0bXiGfSKDFx+b5+b2gIwn3PQ7a4Iz1p7GvMOo+LEMbXDAJhUPtVepYqCSO0Z9ajRBabmhVCVC2XzCbU28wVd3ir5B+NEN46gvVnGk3t+iVD9x16dlPrKUHXlyCUuqLoXNaeSXhog5xBNb0ToJmFE8izfF0VCr86kvDSgr7LQMqVrRYTSH5/w7MNBj2bAxozP2xEn5GyFb1AkGr2J4dq7J918FSGV8X3Ph01MdZ16GNprOEoomlPXHXQ8tcB1EVe6GXT91s6vA2TtWMVE/rAM09aXC4dy/jpARnF978jXihzKAbNNpsKbmqXtVRfICjTF0hGR0LWm9AEiJnLffuLLWRFrTOohdYKsQPNvKk29f01xB6s06WSNO0jdIDd+wE6Bse5fV0fBCbpIHgGUO5A7kEfAAiNwxH8bNVA1j7pNHAAAAABJRU5ErkJggg==\" width=\"60.5\" height=\"18.5\" alt=\"s(inf) = 0\" style=\"width: 60.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and the flow at the well is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Using Darcy’s law and the convention that flow to the well is positive, one finds\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"141.5\" height=\"35\" alt=\"Q0 = -2pi rw b K (ds/dr)|_{r=rw}\" style=\"width: 141.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.267px 8px; transform-origin: 146.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe governing equation is related to the one in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51783\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 51783\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 169.983px 8px; transform-origin: 169.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and it is the polar coordinates version of the equation in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59002\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 59002\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 370.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 185.35px; text-align: left; transform-origin: 384px 185.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"504\" height=\"365\" style=\"vertical-align: baseline;width: 504px;height: 365px\" 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\" alt=\"Steady pump test in a leaky confined aquifer\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp)\r\n% K = hydraulic conductivity of aquifer; Kp = hydraulic conductivity of confining layer\r\n% Other variables are defined in the test suite\r\n \r\n K = Q0*log(r(1)/r(2))/(2*pi*b*(s(2)-s(1));\r\n Kp = K*bp/b;\r\n \r\nend","test_suite":"%%\r\nr = [30 75]; % Distances from the well (m)\r\ns = [0.4 0.25]; % Observed drawdown (m)\r\nQ0 = 1000; % Pumping rate (m3/d)\r\nrw = 0.6; % Radius of the well (m)\r\nb = 10; % Thickness of the confined aquifer (m)\r\nbp = 1.5; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 93.54;\r\nKp_correct = 1.82e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75]; % Distances from the well (m)\r\ns = [0.4 0.25]; % Observed drawdown (m)\r\nQ0 = 2000; % Pumping rate (m3/d)\r\nrw = 0.6; % Radius of the well (m)\r\nb = 10; % Thickness of the confined aquifer (m)\r\nbp = 1.5; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 187.07;\r\nKp_correct = 3.64e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75]; % Distances from the well (m)\r\ns = [0.6 0.4]; % Observed drawdown (m)\r\nQ0 = 1000; % Pumping rate (m3/d)\r\nrw = 0.6; % Radius of the well (m)\r\nb = 10; % Thickness of the confined aquifer (m)\r\nbp = 1.5; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 71.32;\r\nKp_correct = 7.00e-3;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75]; % Distances from the well (m)\r\ns = [0.6 0.4]; % Observed drawdown (m)\r\nQ0 = 1000; % Pumping rate (m3/d)\r\nrw = 0.3; % Radius of the well (m)\r\nb = 10; % Thickness of the confined aquifer (m)\r\nbp = 3; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 71.32;\r\nKp_correct = 1.40e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [100 240]; % Distances from the well (m)\r\ns = [4.0 2.8]; % Observed drawdown (m)\r\nQ0 = 3500; % Pumping rate (m3/d)\r\nrw = 0.3; % Radius of the well (m)\r\nb = 35; % Thickness of the confined aquifer (m)\r\nbp = 2.3; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 11.43;\r\nKp_correct = 3.74e-4;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [100 240]; % Distances from the well (m)\r\ns = [10 8]; % Observed drawdown (m)\r\nQ0 = 3500; % Pumping rate (m3/d)\r\nrw = 0.3; % Radius of the well (m)\r\nb = 35; % Thickness of the confined aquifer (m)\r\nbp = 2.3; % Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 6.959;\r\nKp_correct = 1.126e-5;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('steadyPumpTestLeakyConfined.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-11-04T15:23:23.000Z","updated_at":"2026-02-12T15:06:18.000Z","published_at":"2023-11-04T15:23:23.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a leaky confined aquifer and the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the leaky confining layer given the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the well, the drawdowns \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e measured at distances \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the well, and the thicknesses \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the leaky confined aquifer and the leaking confining layer, respectively. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59002\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 59002\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/49743\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eother pumping tests\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn analytical solution for the drawdown can be determined by solving the equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d2s/dr2 + (1/r)ds/dr - K's/Kbb' = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{d^2s}{dr^2}+\\\\frac{1}{r}\\\\frac{ds}{dr}-\\\\frac{K\\\\prime s}{\\nKbb\\\\prime} = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewith the boundary conditions that the drawdown far from the well is zero (i.e., \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s(inf) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es(\\\\infty) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) and the flow at the well is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Using Darcy’s law and the convention that flow to the well is positive, one finds\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0 = -2pi rw b K (ds/dr)|_{r=rw}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = -2\\\\pi r_wbK\\\\frac{ds}{dr}|_{r=r_w}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe governing equation is related to the one in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51783\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 51783\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and it is the polar coordinates version of the equation in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59002\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 59002\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"365\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" 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aquifer properties: steady pump test in confined or unconfined aquifers","description":"Problem statement\r\nWrite a function to determine the hydraulic conductivity and radius of influence using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns measured at distances from the well, the input will include the pumping rate , the piezometric head in the absence of pumping, and a variable b that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine and from a curve fit to either the drawdown or piezometric head . \r\nBackground\r\nConservation of mass for steady flow says that the flow past any cylinder of radius centered on the well has to be equal to the pumping rate . Then if the flow is defined as positive toward the well (i.e., in the direction), Darcy’s law states\r\n\r\nwhere is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness for the confined aquifer and the (variable) thickness for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\r\n\r\none can determine an expression for the drawdown for the confined aquifer or piezometric head for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 435.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 217.9px; transform-origin: 407px 217.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 106px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53px; text-align: left; transform-origin: 384px 53px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.3px 8px; transform-origin: 74.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and radius of influence \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 120.567px 8px; transform-origin: 120.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.2917px 8px; transform-origin: 74.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e measured at distances \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.1667px 8px; transform-origin: 57.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the well, the input will include the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.7917px 8px; transform-origin: 70.7917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133.817px 8px; transform-origin: 133.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the absence of pumping, and a variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.85px 8px; transform-origin: 3.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eb\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.2167px 8px; transform-origin: 34.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.05px 8px; transform-origin: 89.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from a curve fit to either the drawdown or piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65\" height=\"18\" alt=\"h = H - s\" style=\"width: 65px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 255.925px 8px; transform-origin: 255.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConservation of mass for steady flow says that the flow past any cylinder of radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 123.283px 8px; transform-origin: 123.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e centered on the well has to be equal to the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACYAAAAoCAYAAACSN4jeAAAC30lEQVRYR+1XTUhVQRTWvW1qZZsWtTDUbBNJ7VwoiCIkVNCysFq2MDJciIiCLsSVP9i+BImoTRkuhMJq0SaojaAgtUoI2tf3wRw4d+7MvWce78kD78DHfe/dmTnf+c6Zc+a1tjTpaG1SXi0VsdTIVIqdeMVuQYEbwCWgQ6nxDp9fAiupCvnzU3OMhBaBdmADeAaQDEc/sOSI/sDzOnBUK0ErsdMwsAzcBP4C94AXAaOcdwC0ASR3sZHEaOyDU4J2bkdICYdVfBhzX57iOVcLOYtiu9j4qtt8Dc/7JYYY0rduzi88zzaCmPaeRroMeaOJkdMFYC+VXJFivoGyEIrtWtdluBcR0yG0qsXNHwA8KDKsDpmI+V4vYNVjYzh0+LnkjCH8ua1jirEUsDTISMmT71gkRTdFaZNiPzGLRZQjpViytPxWFlh8B4xKlxLzN7eUCNm0LvnFzUKh9PPrIeZZe58O4yesG/Ty6wq+zwD7QA/ALsH9c63LQsx6qsrKhLzXB4mFuBvI1ccQMT+UVmK6vLDBs+Hrwbw9BZxTClHBz0AuXWKnUie/JZQT2HzWsQiFkCSfA6HG/s+ty3CJEZvH5HG3IOS9VkK85m80PAT4LUj2Cx0kUToTmRgxhvMbICUjViSZN5sArzl0IJjI+F2MFxHLFPGilkQlXjlyLJQjwBcn1XkXOhZhvnsEhO5noqyFWIZ02bWHyj0BhgF9heZl8SPAazSVKrup1p2YeCw5Yj2hXEdVJddYFhj2olAmKUYD0jfZXiZVOIV06MlTOAXIQahb8ovHb7wQCgnm1WvgK7CllKEqdwFW/FFA/1GhaiwlvZ4nUi4yByyWY/R4HTgE/riN5HpdpBTf0fgdRVbmS23UNqXU5Jp9rPLzXv8+EDYS7gPY5zoBlgkO1q8dYBuInc5YS7qGNZd9R8pOZZk6qe9Jbhpg85bBf1K5/wTHTczsSEXMLJWbWClWKZaqQOr8/+6UrClQAbvIAAAAAElFTkSuQmCC\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 203.417px 8px; transform-origin: 203.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then if the flow is defined as positive toward the well (i.e., in the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"20\" height=\"18\" alt=\"-r\" style=\"width: 20px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.8833px 8px; transform-origin: 90.8833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e direction), Darcy’s law states\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79.5\" height=\"35\" alt=\"Q0 = K(dh/dr)A\" style=\"width: 79.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 352.267px 8px; transform-origin: 352.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.4583px 8px; transform-origin: 75.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the confined aquifer and the (variable) thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 282.008px 8px; transform-origin: 282.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"64\" height=\"18.5\" alt=\"h(R) = H\" style=\"width: 64px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 297.975px 8px; transform-origin: 297.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eone can determine an expression for the drawdown for the confined aquifer or piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,R] = steadyPumpTest(r,s,Q0,H,b)\r\n% K = hydraulic conductivity\r\n% R = radius of influence\r\n% r = distance from the well\r\n% s = drawdown = H - h \r\n% Q0 = pumping rate\r\n% H = piezometric head without pumping\r\n% b = {aquifer thickness if confined, [] if unconfined}\r\n h = H-s;\r\n K = Q0/(2*pi*r*b);\r\n R = interp1(s,r,0);\r\nend","test_suite":"%% Confined aquifer\r\nr = [35 75 110 150]; % Distance from well (m)\r\ns = [0.9 0.6 0.3 0.1]; % Drawdown (m)\r\nH = 15; % Piezometric head without pumping (m)\r\nQ0 = 2592; % Pumping rate (m3/d)\r\nb = 25; % Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 30.0;\r\nR_correct = 192.4;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [50 100]; % Distance from well (m)\r\ns = [0.42 0.27]; % Drawdown (m)\r\nH = 15; % Piezometric head without pumping (m)\r\nQ0 = 8000; % Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 401.5;\r\nR_correct = 354.5;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [25 47 70 96 131]; % Distance from well (m)\r\ns = [12.32 10.1 8.69 7.53 6.45]; % Drawdown (m)\r\nH = 50; % Piezometric head without pumping (m)\r\nQ0 = 4600; % Pumping rate (m3/d)\r\nb = 25; % Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 8.25;\r\nR_correct = 804.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [25 47 70 96 131]; % Distance from well (m)\r\ns = [6.61 5.33 4.54 3.93 3.33]; % Drawdown (m)\r\nH = 50; % Piezometric head without pumping (m)\r\nQ0 = 4600; % Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 8.213;\r\nR_correct = 796.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [54 112 140 222]; % Distance from well (m)\r\ns = [1.12 0.87 0.74 0.6]; % Drawdown (m)\r\nH = 64; % Piezometric head without pumping (m)\r\nQ0 = 2300; % Pumping rate (m3/d)\r\nb = 43; % Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 22.78;\r\nR_correct = 1087;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [43 98 151 208]; % Distance from well (m)\r\ns = [2.65 1.81 1.38 1.06]; % Drawdown (m)\r\nH = 75; % Piezometric head without pumping (m)\r\nQ0 = 1300; % Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 2.805;\r\nR_correct = 605.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [35 75 110 150]; % Distance from well (m)\r\ns = [0.9 0.6 0.3 0.1]; % Drawdown (m)\r\nH = 15; % Piezometric head without pumping (m)\r\nQ0 = 2592; % Pumping rate (m3/d)\r\nb = 60*rand; % Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 750/b;\r\nR_correct = 192.4;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%%\r\nfiletext = fileread('steadyPumpTest.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-11-05T15:51:52.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-11-05T15:51:46.000Z","updated_at":"2026-02-12T14:11:09.000Z","published_at":"2023-11-05T15:51:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and radius of influence \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e measured at distances \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the well, the input will include the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in the absence of pumping, and a variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from a curve fit to either the drawdown or piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h = H - s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh = H-s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConservation of mass for steady flow says that the flow past any cylinder of radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e centered on the well has to be equal to the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then if the flow is defined as positive toward the well (i.e., in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"-r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e-r\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e direction), Darcy’s law states\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0 = K(dh/dr)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = K \\\\frac{dh}{dr} A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the confined aquifer and the (variable) thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(R) = H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(R) = H\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eone can determine an expression for the drawdown for the confined aquifer or piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55825,"title":"Measure the hydraulic conductivity with a constant-head permeameter","description":"A constant-head permeameter is a device for measuring the hydraulic conductivity of a soil sample. In this problem the sample is placed in a cylinder of length and cross-sectional area . By supplying a flow to a standpipe, water is maintained at a constant level so that the head difference , or the difference in water levels between the standpipe and outlet, is constant. \r\nThe hydraulic conductivity can then be determined from Darcy’s law\r\n\r\nwhere the head gradient is simply . Darcy’s law applies when a Reynolds number based on the specific discharge and representative diameter of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere is the kinematic viscosity of the fluid.\r\nThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\r\n\r\nwhere is the acceleration of gravity and is the porosity of the soil \r\nWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use and .\r\n\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 838.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.2px; transform-origin: 407px 419.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.342px 8px; transform-origin: 256.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.958px 8px; transform-origin: 113.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.7333px 8px; transform-origin: 65.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. By supplying a flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.8417px 8px; transform-origin: 75.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah\" style=\"width: 21.5px; height: 18px;\" width=\"21.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188.533px 8px; transform-origin: 188.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference in water levels between the standpipe and outlet, is constant. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.533px 8px; transform-origin: 209.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.4167px 8px; transform-origin: 77.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE8AAAAlCAYAAAADW7S6AAAEqklEQVRoQ+2aS6tOURjHnQ+AXEaGLgMDUZiIgYnrSBHKjHJJBsrdzC0yMnApykDuUkIYMGAiBpQyQT6AW3wA/j+t5/ScZe29197rvHlPvbv+nd3aez3ref7rWc9lv2do3ODqzMBQ55mDieMG5BU4wVgl76xsPi18KrC9eOpYJG+urH4jzBiQ137/jwXiNrSfOrozRsPzpkulacJOIWUQnjJb+Ck8HAX1P0jGYeF6gawmnbNEl5CHB6wPXsBi54QdYdXF+rtSOOi02Kb7C1laVb+0So8eCFOFrx1k1encWlwJeSwGSc/DqhsT3oCyRuA83b9treHICSQKLtukLuKadM6WWUqeeQILpgI4Rwvv/CjMzNaq+sVverRJKDn+TTpnq1lKnnnWa624MLEqxk4S/JHOVi56kXiK503uKiDMa9I5W3wpeQRvPO64cCha1R+P1YXegmi8GA+O18k2NrxYp3MrWSXkkbEwhitFzl6NnwzPuwZ4M2aKbr4IpXGzSeeekkfZMV54L6wVzofVUpvwSM+WC4+FFU4riKB0+SXkJpCteneP0CVuttEZNTkxKd2svMH2v5k+x/MwdrOwX3gi4G3LgoAUOcg1T+F+n3AqkOe9kaFUhnY8D9++0t1FIbfUaaszm7NGwB6u78ICwdo/XzUMh6gm8ti1Z0HgUv01T/HCPDlmrc9oSzTIbuGJ7NhR4bJArKxKNJ5AO2q57VgXnZmDbSSla2Fxq0uxFWdhA7cLw/VqHXleUBxrvAel4pCRyw7OCsR5z7EsfCMo7MmK75E1X/BHv+r9Ep1N5u9wQ4VwXzgjJMNFFXm2e5QZdcUv5KRKB3YJt4cciOI9y5I+C6e8NiYmtx0r1dnWtVhNeMI2Nj/ZzVSRZ+k8Dva2gJGTqt98RoM8jpuvAb3XcqRf1LidEZ2TrUt09ip4/WpbyhR5TUfSJ4OUV/qjg1Kx4bazVV7rDcltx0p19mtm16cp8mwHq1oqMpOVKKkgjsEEVq7UzllMyYl3ue1Yqc6ePPteyFhtWInJ86ynugYEmqJNLVnKs9o05bnt2GjobORxql6GUMNYbTUQk+e9qqlrSJHbtGv+eDWVSbRjeF7TF5RSnb3X2ZqfNdjYHcUGeONi8jwxLGjPWfCEQJ3kDUmVMBbv7MjiXXOEuF9t046V6mzkofsWgeSWinuMLRKs4P+nw/DFrc+kjF8RGLPvcySCI4IvQ5o+QVm8I9FQON8RUjUUpFJM57RjXXW+Kfl0FO+ECQKx2pclvt6js6FZGFG21CUMdoQzz0VioMNgMXNnEgrtmj9WfsH4uPndZC6kU/imaihKoVvC8C4HPar+WBxuo7OdApMZnxRzhKrnyd6WI7NboKrnuivcDkZSwxHriEVXBV+jcayNWLJU3PQjF09FxlPhUgVxbdsxdOyiMx67S/ghWNjxm4M9B8JA6nnWh4Gq3e7VODFsnZD6uNqrNTvJbcp4nYQWTsptxwqXKZ/eb+RZRs9px8qtL5TQb+TZbxT//QftHF77jbzcdizHtp6/00/kUcrcE0p/Hes5abZAP5FHuTFR+K//+dSG+X4ir43effHugLyCbRiQV0DeH4XzTTW3ZsajAAAAAElFTkSuQmCC\" alt=\"dh/dx\" style=\"width: 39.5px; height: 18.5px;\" width=\"39.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.725px 8px; transform-origin: 30.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is simply \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah/L\" style=\"width: 38.5px; height: 18.5px;\" width=\"38.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 214.6px 8px; transform-origin: 214.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91.025px 8px; transform-origin: 91.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.417px 8px; transform-origin: 175.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.733px 8px; transform-origin: 114.733px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 371.492px 8px; transform-origin: 371.492px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.1px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.55px; text-align: left; transform-origin: 384px 18.55px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K = (gd^2/(180nu))(n^3/(1-n)^2)\" style=\"width: 114px; height: 37px;\" width=\"114\" height=\"37\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eg\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.242px 8px; transform-origin: 104.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the acceleration of gravity and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 78.95px 8px; transform-origin: 78.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the porosity of the soil \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 363.683px 8px; transform-origin: 363.683px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 9.81 m/s^2\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"nu = 10^{-6} m^2/s\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 338.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 169.35px; text-align: left; transform-origin: 384px 169.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 494px;height: 333px\" 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\" 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margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = CHP(Q,L,D,dh,n)\r\n K = f(Q,L,D,dh);\r\n isDLvalid = true;","test_suite":"%% Coarse sand #1\r\nQ = 8.92e-6; % Flow (m3/s) \r\nL = 0.1; % Sample length (m)\r\nD = 0.05; % Diameter of cylinder holding sample (m)\r\ndh = 0.3; % Head difference (m)\r\nn = 0.25; % Porosity\r\nK_correct = 1.51e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #1--larger cylinder area\r\nQ = 3.57e-5; % Flow (m3/s) \r\nL = 0.1; % Sample length (m)\r\nD = 0.1; % Diameter of cylinder holding sample (m)\r\ndh = 0.3; % Head difference (m)\r\nn = 0.25; % Porosity\r\nK_correct = 1.51e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #2\r\nQ = 2.44e-5; % Flow (m3/s) \r\nL = 0.1; % Sample length (m)\r\nD = 0.08; % Diameter of cylinder holding sample (m)\r\ndh = 0.05; % Head difference (m)\r\nn = 0.4; % Porosity\r\nK_correct = 9.69e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1\r\nQ = 1.52e-5; % Flow (m3/s) \r\nL = 0.08; % Sample length (m)\r\nD = 0.08; % Diameter of cylinder holding sample (m)\r\ndh = 0.1; % Head difference (m)\r\nn = 0.4; % Porosity\r\nK_correct = 2.42e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1--reduced head difference\r\nQ = 7.61e-6; % Flow (m3/s) \r\nL = 0.08; % Sample length (m)\r\nD = 0.08; % Diameter of cylinder holding sample (m)\r\ndh = 0.05; % Head difference (m)\r\nn = 0.4; % Porosity\r\nK_correct = 2.42e-3; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Medium sand #2\r\nQ = 7.08e-7; % Flow (m3/s) \r\nL = 0.1; % Sample length (m)\r\nD = 0.05; % Diameter of cylinder holding sample (m)\r\ndh = 0.3; % Head difference (m)\r\nn = 0.3; % Porosity\r\nK_correct = 1.2e-4; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Fine sand \r\nQ = 3.57e-7; % Flow (m3/s) \r\nL = 0.075; % Sample length (m)\r\nD = 0.075; % Diameter of cylinder holding sample (m)\r\ndh = 0.4; % Head difference (m)\r\nn = 0.25; % Porosity\r\nK_correct = 1.51e-5; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Silt \r\nQ = 1.17e-7; % Flow (m3/s) \r\nL = 0.05; % Sample length (m)\r\nD = 0.08; % Diameter of cylinder holding sample (m)\r\ndh = 0.3; % Head difference (m)\r\nn = 0.4; % Porosity\r\nK_correct = 3.88e-6; % Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nfiletext = fileread('CHP.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-08-18T23:24:39.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-17T14:41:04.000Z","updated_at":"2025-12-01T14:29:21.000Z","published_at":"2022-09-17T14:42:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. By supplying a flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference in water levels between the standpipe and outlet, is constant. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere the head gradient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is simply \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah/L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h/L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K = (gd^2/(180nu))(n^3/(1-n)^2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK = \\\\frac{g d^2}{180 \\\\nu}\\\\frac{n^3}{(1-n)^2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the acceleration of gravity and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the porosity of the soil \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 9.81 m/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 9.81\\\\rm\\\\,m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-6} m^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 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the maximum length of a contaminant plume in groundwater","description":"Problem statement \r\nWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of , and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s maximum contaminant level, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity , the magnitude of the head gradient , effective porosity , bulk density , and soil organic fraction . Along with the MCLs, the properties of the contaminants provided to the function are the half life and the octanol-water partition coefficient .\r\nCompute the longitudinal dispersion coefficient as , where is the average linear velocity and is the longitudinal dispersivity. The variable aL will be specified as either a number or ‘X\u0026E’. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026 Eckstein (1995):\r\n\r\nwhere is in meters if the flow length is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\r\nBackground\r\nContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration of the contaminant in time and spatial coordinate can be computed with\r\n\r\nThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where . Retardation is included in the retardation coefficient . The maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a second-order linear ordinary differential equation with constant coefficients, which can be solved with the boundary conditions and . ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 605.9px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 302.95px; transform-origin: 407px 302.95px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.95px 8px; transform-origin: 64.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 151px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 75.5px; text-align: left; transform-origin: 384px 75.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 350.983px 8px; transform-origin: 350.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAoCAYAAACWwljjAAACVklEQVRYR+1XyysFURx290pYWVEsKErJo5SyYS3lUdYeC1kR/wBF1h4r2YiFskTZkUcKJTYWSnaU2PN9Nb86c8yZc87MvbcrM/V1Z+6cx3e+33NyZSV25UqMT1lGyGaRTKF/oVAVTjkEDAAtQI1y6i/cnwG3QAXQA3QD7zZl5L2PD5HIPDAFlAMXwBZwDDwFC07idyV4z7+OgH5XMhznSqgdY7eBRoAqLAJLho049iQgtYnfiXwTUjcgmcHg5HH7bODlODAC7OaTUD0Wu1FM4LpBH+YcAg2KOZ142Uz2EJiJi/nKT0KjgLND23xoGQNmg2PRVK2+p3WSRBsUp9CnYqo93A8n2cB3jokQw3dNWYyhyxAu+GUixMhg8uNFc9X6+kJS5iZCr1hQMvAj7puSbuA7z0ToW1mIGbnLd+Gk410I+YZ7FBeWHdUn6QLTwJU+2IVQWoVI5hlg0ZW8tIB7lp8OnZSJ0DkGdgbs0/qQBIgeqUwrL7p/mgjJCURR1xJANXYUJfj8FixSrUWqHDpE1ERIZGabwYstxZzFUTnnFGBXIJ2A1LQolaUShHw0LlOzyl8qJNgHrRtISR+ktyWyaRyhkI/aiitJHQBqTqIC10Al0AaMAR/ADKBncxdCIbI2QiIIFegFGK6qs9/heR9g1xhV1QtGyOI+xtcSHHEmS6RQUkJ5deqkJPR5UoZ095CwD3Whrj6UhlxcYmRybFb9rxiEJKfdY2Mp0uJbv3r0YhCiuvxYYI5ilPIjsg5YjUgTzt9laUzmNbdYCjmTygjZpMoU+nMK/QB7534p343IYgAAAABJRU5ErkJggg==\" width=\"18\" height=\"20\" alt=\"C0\" style=\"width: 18px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.525px 8px; transform-origin: 157.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.epa.gov/ground-water-and-drinking-water/national-primary-drinking-water-regulations\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003emaximum contaminant level\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 325.967px 8px; transform-origin: 325.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.358px 8px; transform-origin: 114.358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the magnitude of the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49.5\" height=\"18.5\" alt=\"|dh/dx|\" style=\"width: 49.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.2083px 8px; transform-origin: 58.2083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, effective porosity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"ne\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, bulk density \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"rhob\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.125px 8px; transform-origin: 29.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and soil organic fraction \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17.5\" height=\"20\" alt=\"phio\" style=\"width: 17.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.217px 8px; transform-origin: 302.217px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Along with the MCLs, the properties of the contaminants provided to the function are the half life \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"26.5\" height=\"20\" alt=\"T_1/2\" style=\"width: 26.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the octanol-water partition coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"22.5\" height=\"20\" alt=\"Koc\" style=\"width: 22.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 155.875px 8px; transform-origin: 155.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the longitudinal dispersion coefficient as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65.5\" height=\"20\" alt=\"DL = aLvL\" style=\"width: 65.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.8917px 8px; transform-origin: 24.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"123.5\" height=\"20\" alt=\"vL = (K/ne)|dh/dx|\" style=\"width: 123.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105.808px 8px; transform-origin: 105.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the average linear velocity and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"aL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 136.417px 8px; transform-origin: 136.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the longitudinal dispersivity. The variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eaL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 121.367px 8px; transform-origin: 121.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be specified as either a number or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.25px 8px; transform-origin: 19.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e‘X\u0026amp;E’\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88.275px 8px; transform-origin: 88.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026amp; Eckstein (1995):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"138.5\" height=\"21\" alt=\"aL = 0.83(log10(L))^2.414\" style=\"width: 138.5px; height: 21px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"aL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.175px 8px; transform-origin: 92.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is in meters if the flow length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 250.083px 8px; transform-origin: 250.083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.15px 8px; transform-origin: 383.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eC\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.0083px 8px; transform-origin: 84.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the contaminant in time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.3583px 8px; transform-origin: 72.3583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and spatial coordinate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.1667px 8px; transform-origin: 15.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be computed with\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 39.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.95px; text-align: left; transform-origin: 384px 19.95px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"170\" height=\"40\" alt=\"dC/dt + (vL/R)dC/dx = (DL/R) d^2C/dx^2 - lam C\" style=\"width: 170px; height: 40px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 108px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 54px; text-align: left; transform-origin: 384px 54px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.05px 8px; transform-origin: 311.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"81.5\" height=\"20\" alt=\"lam = ln(2)/T_1/2\" style=\"width: 81.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Retardation is included in the retardation coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"122\" height=\"20\" alt=\"R = 1+rhobKoc phio/ne\" style=\"width: 122px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 151.317px 8px; transform-origin: 151.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51387\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003esecond-order linear ordinary differential equation with constant coefficients\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which can be solved with the boundary conditions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"67.5\" height=\"20\" alt=\"C(0) = C0\" style=\"width: 67.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"66\" height=\"18.5\" alt=\"C(infinity) = 0\" style=\"width: 66px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Lp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\n% See the text suite for the definitions of the parameters\r\n v = K*dhdx/ne;\r\n Lp = (C0-Clim)/v;\r\nend","test_suite":"%% Dieldrin and styrene\r\nC0 = [1 15]; % Source concentrations (mg/L)\r\nClim = [2e-4 0.1]; % Maximum contaminant levels (mg/L)\r\nK = 87.5; % Hydraulic conductivity (m/d)\r\ndhdx = 0.002; % Magnitude of the hydraulic gradient \r\nne = 0.25; % Effective porosity\r\nrhob = 2.5; % Bulk density (g/cm3)\r\nphio = 0.005; % Soil organic fraction\r\nKoc = [25120 380]; % Octanol-water partition coefficient (mL/g)\r\naL = 'X\u0026E'; % Dispersivity method\r\nTh = [1825 182]; % Half lives (d)\r\nLp_correct = [20.76 58.95];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Benzene, toluene, ethylbenzene, and p-xylene\r\nC0 = 30; % Source concentration (mg/L)\r\nClim = [0.005 1 0.7 10]; % Maximum contaminant levels (mg/L)\r\nK = 11; % Hydraulic conductivity (m/d)\r\ndhdx = 0.04; % Magnitude of the hydraulic gradient \r\nne = 0.22; % Effective porosity\r\nrhob = 2; % Bulk density (g/cm3)\r\nphio = 0.005; % Soil organic fraction\r\nKoc = [97 242 622 552]; % Octanol-water partition coefficient (mL/g)\r\naL = 'X\u0026E'; % Dispersivity method\r\nTh = [300 20 120 190]; % Half lives (d)\r\nLp_correct = [1501.21 20.69 54.12 24.98];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Glyphosate\r\nC0 = 13.9; % Source concentrations (mg/L)\r\nClim = 0.7; % Maximum contaminant level (mg/L)\r\nK = 30; % Hydraulic conductivity (m/d)\r\ndhdx = 0.0005; % Magnitude of the hydraulic gradient \r\nne = 0.18; % Effective porosity\r\nrhob = 1.9; % Bulk density (g/cm3)\r\nphio = 0.001; % Soil organic fraction\r\nKoc = 4e-5; % Octanol-water partition coefficient (mL/g)\r\naL = 2.8; % Dispersivity method\r\nTh = 300; % Half life (d)\r\nLp_correct = 115.59;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% 1,4-dioxane\r\nC0 = 10; % Source concentrations (mg/L)\r\nClim = 3e-4; % Limit set by Massachusetts (mg/L)\r\nK = 7.77; % Hydraulic conductivity (m/d)\r\ndhdx = 0.01; % Magnitude of the hydraulic gradient \r\nne = 0.21; % Effective porosity\r\nrhob = 1.8; % Bulk density (g/cm3)\r\nphio = 0.003; % Soil organic fraction\r\nKoc = 1; % Octanol-water partition coefficient (mL/g)\r\naL = 3; % Dispersivity method\r\nTh = 1; % Half life (d)\r\nLp_correct = 16;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Benzene\r\nC0 = 2; % Source concentrations (mg/L)\r\nClim = 0.005; % Maximum contaminant level (mg/L)\r\nK = 11; % Hydraulic conductivity (m/d)\r\ndhdx = 0.0035; % Magnitude of the hydraulic gradient \r\nne = 0.1; % Effective porosity\r\nrhob = 1.7; % Bulk density (g/cm3)\r\nphio = 0.002; % Soil organic fraction\r\nKoc = 97; % Octanol-water partition coefficient (mL/g)\r\naL = 6; % Dispersivity method\r\nTh = 300; % Half life (d)\r\nLp_correct = 263.93;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% p-xylene\r\nC0 = 200; % Source concentrations (mg/L)\r\nClim = 10; % Maximum contaminant level (mg/L)\r\nK = 11; % Hydraulic conductivity (m/d)\r\ndhdx = 0.0035; % Magnitude of the hydraulic gradient \r\nne = 0.1; % Effective porosity\r\nrhob = 1.7; % Bulk density (g/cm3)\r\nphio = 0.002; % Soil organic fraction\r\nKoc = 552; % Octanol-water partition coefficient (mL/g)\r\naL = 6; % Dispersivity method\r\nTh = 190; % Half life (d)\r\nLp_correct = 26.74;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Ethylbenzene\r\nC0 = 100; % Source concentrations (mg/L)\r\nClim = 0.7; % Maximum contaminant level (mg/L)\r\nK = 11; % Hydraulic conductivity (m/d)\r\ndhdx = 0.0035; % Magnitude of the hydraulic gradient \r\nne = 0.1; % Effective porosity\r\nrhob = 1.7; % Bulk density (g/cm3)\r\nphio = 0.002; % Soil organic fraction\r\nKoc = 622; % Octanol-water partition coefficient (mL/g)\r\naL = 6; % Dispersivity method\r\nTh = 120; % Half life (d)\r\nLp_correct = 29.83;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%% Nastene, phylthene, siccanol (fictitious chemicals)\r\nC0 = [10 10 20]; % Source concentrations (mg/L)\r\nClim = [1 2 0.1]; % Limits (mg/L)\r\nK = 0.2; % Hydraulic conductivity (m/d)\r\ndhdx = 0.008; % Magnitude of the hydraulic gradient \r\nne = 0.08; % Effective porosity\r\nrhob = 2; % Bulk density (g/cm3)\r\nphio = 0.003; % Soil organic fraction\r\nKoc = [15 80 2]; % Octanol-water partition coefficient (mL/g)\r\naL = 2; % Dispersivity method\r\nTh = [30 100 475]; % Half lives (d)\r\nLp_correct = [2.6 1.83 72.39];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-01T15:59:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-01T15:47:36.000Z","updated_at":"2026-02-12T14:03:58.000Z","published_at":"2023-10-01T15:59:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.epa.gov/ground-water-and-drinking-water/national-primary-drinking-water-regulations\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emaximum contaminant level\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the magnitude of the head gradient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"|dh/dx|\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e|dh/dx|\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, effective porosity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ne\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, bulk density \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rhob\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rho_b\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and soil organic fraction \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"phio\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\phi_o\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Along with the MCLs, the properties of the contaminants provided to the function are the half life \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T_1/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT_{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the octanol-water partition coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Koc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{oc}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the longitudinal dispersion coefficient as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"DL = aLvL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_L = a_L v_\\\\ell\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vL = (K/ne)|dh/dx|\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev_\\\\ell = (K/n_e)|dh/dx|\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the average linear velocity and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the longitudinal dispersivity. The variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eaL\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e will be specified as either a number or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e‘X\u0026amp;E’\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026amp; Eckstein (1995):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL = 0.83(log10(L))^2.414\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L = 0.83(\\\\log_{10}L)^{2.414}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is in meters if the flow length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the contaminant in time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and spatial coordinate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be computed with\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dC/dt + (vL/R)dC/dx = (DL/R) d^2C/dx^2 - lam C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{\\\\partial C}{\\\\partial t}+\\\\frac{v_\\\\ell}{R}\\\\frac{\\\\partial C}{\\\\partial x}=\\\\frac{D_L}{R}\\\\frac{\\\\partial^2 C}{\\\\partial x^2} - \\\\lambda C\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"lam = ln(2)/T_1/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\lambda = \\\\ln2/T_{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Retardation is included in the retardation coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R = 1+rhobKoc phio/ne\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR = 1+\\\\rho_b K_{oc} \\\\phi_o/n_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51387\\\"\u003e\u003cw:r\u003e\u003cw:t\u003esecond-order linear ordinary differential equation with constant coefficients\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, which can be solved with the boundary conditions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(0) = C0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(0) = C_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(infinity) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(\\\\infty) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59002,"title":"Compute piezometric head in a leaky confined aquifer","description":"Problem statement\r\nWrite a function to compute the piezometric head in a leaky confined aquifer and the position of a groundwater divide given the boundary heads at and at and head (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are and , and the hydraulic conductivity and thickness of the leaking confining layer are and . If there is no groundwater divide, set xd to the empty set []. \r\nBackground\r\nAs in other problems in this series, the movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is , and the flow out of the right side is . If is the specific discharge through the leaky confining layer, the flow into the volume through the top is . Then the mass (or volume) balance is\r\n\r\nRearranging, dividing by , and taking the limit as goes to zero gives\r\n\r\nDarcy’s law allows the specific discharge through the aquifer to be written as and the specific discharge through the leaky confining layer to be approximated as . Then \r\n\r\nOne can solve this second-order linear ordinary differential equation using the boundary heads to get the piezometric head in the aquifer. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 939.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 469.55px; transform-origin: 407px 469.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 153.9px 8px; transform-origin: 153.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.233px 8px; transform-origin: 211.233px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a leaky confined aquifer and the position of a groundwater divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"xd\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e given the boundary heads \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"hL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.0667px 8px; transform-origin: 33.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 164.933px 8px; transform-origin: 164.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.125px 8px; transform-origin: 59.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the hydraulic conductivity and thickness of the leaking confining layer are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"18\" alt=\"K'\" style=\"width: 19px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"18\" alt=\"b'\" style=\"width: 15px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 118.625px 8px; transform-origin: 118.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If there is no groundwater divide, set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003exd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the empty set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 126px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 63px; text-align: left; transform-origin: 384px 63px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58997\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eother\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eproblems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ein\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56205\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eseries\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 264.883px 8px; transform-origin: 264.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.2417px 8px; transform-origin: 97.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"27\" height=\"18\" alt=\"vbw\" style=\"width: 27px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.008px 8px; transform-origin: 112.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the flow out of the right side is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"73\" height=\"18.5\" alt=\"(v+Deltav)bw\" style=\"width: 73px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 8px; transform-origin: 9.70833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14\" height=\"18\" alt=\"v'\" style=\"width: 14px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.825px 8px; transform-origin: 18.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the specific discharge through the leaky confining layer, the flow into the volume through the top is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFUAAAAkCAYAAAD4i3Y+AAAETElEQVRoQ+2YTYhPURjGZ/ZErFhIWFCKjY+IJFFSFvKRrH2sZEGxmhXFQrJgZCELoSxsFAuJyNeCUiwQEisk9jy/6b7TO2fuuff8Z+65M3JvPc1/7j33Pe95zvN+nNvf112NM9DfuMXOYF9HagYRdKR2pGZgIIPJTqn/CKkz5Oc54YVwIoPPk95kDqXuL0h9o7+LJpiBL5r/bNubm4PU21rERuFY24sJNhAf8OW3MLXNzW2aVEL/m/BVWCx8b3MxwVyP9f+K4t4u/b3Wli9Nk7pTjl+dBCqdLx/eOhJbTUVNk4oa1kwCleLH5oLUKW2rtWlSf2kBh4XzbYVayTyWgi7o2c/CH4Y9EVa24VeTpC6Tw5eFia74J+XDAWFpQaBPA8t171luYkNSIWa7sESYJpDoyxx5rfsLg9xJtZ0XUSnPNghrhTkC1ThWkQndsMclR3KPUK4qOqj0o/BI2FSQh70dxe877n4dt8zJe+uEVcXcC/T3XfEiXNGuwdF1gXoydMWUagWHMWWtkZHK85lCapVHRaQHrrLNsnkJ3X1u1Z7UqqJDj3xK2CZAIBeLf+pseWLc7VE/sfVeQCgcZriMPGzeFT4LiAufVgtDPFSFP43zLGfIz4oiXgnkrGFjVR6WLDBUnKkMNYakenJGqCKYE5/xKUxBvr0qs13nuonIyHuoFwYEogCCIdMUXEmqhU1MGUx0X/CKqnOO53+KQeHiaNQtzMrmtAIUy4um8rL04COP6XuJLsYPCnsLv4mAl8KR2GKrlOpDNXTCwpFiMLxDKYxqTFkEsOhDhbM4X0Yq/pDrLVeG06FG6kCsUNq8vNerWv2m0EXQrkVTXhWp3lCYh1DVhzGolAVZKBpxFvbr9YwiSc7lRDbbscYmPhDogcs20fJm1dHYvklgttejq0VJ0oZUkWpnZwz5kILsAaGXXOpVZd8GjFS/QX7hPjrYiEtCrP9NPXTQR9thoNdvE6b02g6iilRfNY1UK1Bb5dxY+z2fVrB7WrDvBH4jjVTy2XSB3rMs5OxImhLSfu5e1OrfQyCV/X1d829FhQVRdal6ZyoU4xUZ+x066KPAk0rupJ05KGyJhD1zQPpuISW/+zAOIzDmLz7dEI4XYBy+Wcs26r1UUlHBXOGeMN4Pz57UMOn7RdNv7hGqosLy8RWNS+1C/GGg7kOL2afvfS7wBY4L36z6Hw05SSU1NBTb1ZT7dQcAi45aRWgAC0JBFLZPKZNrDB0CDbtdYQuGMimGPwQik6O3Ccn6VfuOwAZxghvRXqWSSujHclriWoaHWYjHmngrJimFxLdJvfph4/2HFtsknpFzbwXr9v0qG0lHMoqXOlLZGb9TY3Xcvwep5OVYnqTS33TqiM3pO4Xx+mUHCjqbi4Kd6iDZF0dr7ThpkhLD50N+1JE6Xmf/y/c7UjNse0dqR2oGBjKY7JTakZqBgQwmO6V2pGZgIIPJTqkZSP0LKoAENMGsde4AAAAASUVORK5CYII=\" width=\"42.5\" height=\"18\" alt=\"v'wDeltax\" style=\"width: 42.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62.6083px 8px; transform-origin: 62.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then the mass (or volume) balance is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"316.5\" height=\"18.5\" alt=\"0 = vbw - (v+Deltav)bw + v'wDeltax = -bwDeltav + v'wDeltax\" style=\"width: 316.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.425px 8px; transform-origin: 77.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eRearranging, dividing by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"38.5\" height=\"18\" style=\"width: 38.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.5083px 8px; transform-origin: 73.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and taking the limit as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.7333px 8px; transform-origin: 58.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e goes to zero gives\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"71\" height=\"35\" alt=\"dv/dx - v'/b = 0\" style=\"width: 71px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 238.317px 8px; transform-origin: 238.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law allows the specific discharge through the aquifer to be written as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"98.5\" height=\"18.5\" alt=\"v = -K(dh/dx)\" style=\"width: 98.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.8px 8px; transform-origin: 84.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the specific discharge through the leaky confining layer to be approximated as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"117\" height=\"18.5\" alt=\"v' = K'(H-h)/b'\" style=\"width: 117px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.775px 8px; transform-origin: 21.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"152\" height=\"36.5\" alt=\"K d2h/dx2 + (K'/(bb'))(H-h) = 0\" style=\"width: 152px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.5083px 8px; transform-origin: 59.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne can solve this \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51387\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esecond-order linear ordinary differential equation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 170.767px 8px; transform-origin: 170.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e using the boundary heads to get the piezometric head in the aquifer. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 376.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 188.35px; text-align: left; transform-origin: 384px 188.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"581\" height=\"371\" style=\"vertical-align: baseline;width: 581px;height: 371px\" 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\" alt=\"leaky confined aquifer\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H)\r\n h = H + (hL-h0*(x/L)*sin(Kp*x^2/(Kp*b*bp));\r\n xd = x\r\nend","test_suite":"%%\r\nL = 3300; % Length (m) \r\nx = 1000; % Position where head is desired (m)\r\nh0 = 32; % Piezometric head at x = 0 (m)\r\nhL = 29; % Piezometric head at x = L (m)\r\nH = 39; % Head in unconfined aquifer (m)\r\nK = 12; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 8e-5; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15; % Thickness of aquifer (m)\r\nbp = 2; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = 32.7897;\r\nxd_correct = 1060.65;\r\nassert(abs(h-h_correct)\u003c1e-3)\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 3300; % Length (m) \r\nx = 700:700:2800; % Position where head is desired (m)\r\nh0 = 32; % Piezometric head at x = 0 (m)\r\nhL = 29; % Piezometric head at x = L (m)\r\nH = 39; % Head in unconfined aquifer (m)\r\nK = 12; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 3e-4; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15; % Thickness of aquifer (m)\r\nbp = 2; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [34.6548 35.4741 34.8040 32.3615];\r\nxd_correct = 1433.93;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 2500; % Length (m) \r\nx = 0:500:2500; % Position where head is desired (m)\r\nh0 = 45; % Piezometric head at x = 0 (m)\r\nhL = 42; % Piezometric head at x = L (m)\r\nH = 50; % Head in unconfined aquifer (m)\r\nK = 4; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-5; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 30; % Thickness of aquifer (m)\r\nbp = 3; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [45 44.5664 44.0573 43.4656 42.7830 42];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 2500; % Length (m) \r\nx = 0:500:2500; % Position where head is desired (m)\r\nh0 = 45; % Piezometric head at x = 0 (m)\r\nhL = 42; % Piezometric head at x = L (m)\r\nH = 50; % Head in unconfined aquifer (m)\r\nK = 4; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-4; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 30; % Thickness of aquifer (m)\r\nbp = 3; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [45 45.6796 45.7522 45.2279 44.0331 42];\r\nxd_correct = 811.72;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 3300; % Length (m) \r\nx = 700:700:2900; % Position where head is desired (m)\r\nh0 = 32; % Piezometric head at x = 0 (m)\r\nhL = 29; % Piezometric head at x = L (m)\r\nH = 39; % Head in unconfined aquifer (m)\r\nK = 12; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 3e-4; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15; % Thickness of aquifer (m)\r\nbp = 2; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [34.6548 35.4741 34.8040 32.3615];\r\nxd_correct = 1433.93;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 1000; % Length (m) \r\nx = [130 280 390 560 710 940]; % Position where head is desired (m)\r\nh0 = 34; % Piezometric head at x = 0 (m)\r\nhL = 33; % Piezometric head at x = L (m)\r\nH = 38; % Head in unconfined aquifer (m)\r\nK = 0.5; % Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-4; % Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 24; % Thickness of aquifer (m)\r\nbp = 1; % Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [35.5547 36.4902 36.7941 36.7832 36.2740 34.0536];\r\nxd_correct = 471.73;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nfiletext = fileread('leakyConfAq.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-23T13:55:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-23T13:48:39.000Z","updated_at":"2026-02-12T13:57:58.000Z","published_at":"2023-09-23T13:51:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a leaky confined aquifer and the position of a groundwater divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xd\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e given the boundary heads \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the hydraulic conductivity and thickness of the leaking confining layer are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If there is no groundwater divide, set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to the empty set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58997\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eother\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eproblems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56205\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eseries\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vbw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003evbw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the flow out of the right side is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(v+Deltav)bw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(v+\\\\Delta v)bw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the specific discharge through the leaky confining layer, the flow into the volume through the top is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v'wDeltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime w\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then the mass (or volume) balance is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"0 = vbw - (v+Deltav)bw + v'wDeltax = -bwDeltav + v'wDeltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e0 = vbw - (v+\\\\Delta v)bw+v\\\\prime w\\\\Delta x = -bw\\\\Delta v+v\\\\prime w\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRearranging, dividing by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ebw\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and taking the limit as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e goes to zero gives\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dv/dx - v'/b = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{dv}{dx}-\\\\frac{v\\\\prime}{b} = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDarcy’s law allows the specific discharge through the aquifer to be written as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = -K(dh/dx)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = -K(dh/dx)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the specific discharge through the leaky confining layer to be approximated as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v' = K'(H-h)/b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime = K\\\\prime(H-h)/b\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K d2h/dx2 + (K'/(bb'))(H-h) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\frac{d^2h}{dx^2} + \\\\frac{K\\\\prime}{bb\\\\prime}(H-h) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne can solve this \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51387\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esecond-order linear ordinary differential equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e using the boundary heads to get the piezometric head in the aquifer. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"371\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"581\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"leaky confined aquifer\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59104,"title":"Design a capture zone","description":"One approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \r\nIf the background flow (with flow per unit width* ) is left to right, then the coordinates of a point on the capture zone are given by , where the well is at (0,0) and is the distance to the stagnation point downstream of the well. The distance can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \r\nWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \r\n*Recall that specific discharge is flow per area over which the flow is occurring. Then flow per unit width is , where is the thickness of the confined aquifer. \r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 777.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 388.85px; transform-origin: 407px 388.85px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 360.567px 8px; transform-origin: 360.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 87px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 43.5px; text-align: left; transform-origin: 384px 43.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.808px 8px; transform-origin: 147.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the background flow (with flow per unit width* \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" alt=\"Q'\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.175px 8px; transform-origin: 113.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is left to right, then the coordinates \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43\" height=\"20\" alt=\"(xc, yc)\" style=\"width: 43px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3417px 8px; transform-origin: 79.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a point on the capture zone are given by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"115\" height=\"20\" alt=\"xc = yc/tan(yc/x0)\" style=\"width: 115px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.2917px 8px; transform-origin: 95.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where the well is at (0,0) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x0\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 166.658px 8px; transform-origin: 166.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the distance to the stagnation point downstream of the well. The distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAAoCAYAAAACJPERAAAB90lEQVRYR+2WvS8EQRjG7/4FKgoKDVFofDWUVCrxUap8VCqCSoVQKBQ+orgSnajoJRxqChIqFYnQ83uSmcvc3e7t7N3KSewkv8ze7cz7zDzzvnOXzdShZeugmUlFf9X11N7U3kQcSBMpERvDgvwpe3tY5RgMQh+8QrOz8gmet6EJ5mAvjjVhO10myB2MwrQJaIPP8nkLPo3oCb0W4d2i7G0g0puJdkB/CKcwAE8wBLfw7q3IwChRxbqHdpDFHzAPF3FESsf6iO47Fmu3M7UIaq6PqM7ryAhN0h9XEN3kXRc8g5JwNWi8j2gbEx+N0Ar9eojoFd+3gD1vVUAeyub4iCqYykbtGvoDRJXRu6CsXnTen/OsZGuEQrJFicou2fQC4yZY0BybbKX2a/5C6WIqiWqFOWNXN70912Gelb2yXd/rjL/Ngop2ZHap3T5Ah3XAFVVNKojqTgFVj1NGwK1XWbgBl6DyUVNgtTBRvStouaLWfw34gjVwk8ZaqPeq2R3zXo74iBYW5Ipa/4MEJaTS0Y2k5i6oJlETL3ZnSyPK3sCdxlZzJlSdSLWI2lq2mW1j2SMruj6j6tR3IVGXQy+BbmywpEQVT7vthFbQ7WPPuuxHIklR1fISjMAZ6CbLQdm/iiRFfY/C66fNO5jvwHSnvk5VNe7/2PsDNEBoKTeYqJQAAAAASUVORK5CYII=\" width=\"14.5\" height=\"20\" alt=\"x0\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.633px 8px; transform-origin: 302.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 377.958px 8px; transform-origin: 377.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.3083px 8px; transform-origin: 95.3083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e*Recall that specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 235.325px 8px; transform-origin: 235.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is flow per area over which the flow is occurring. Then flow per unit width is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"51\" height=\"18\" alt=\"Q' = vb\" style=\"width: 51px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.0583px 8px; transform-origin: 23.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 124.458px 8px; transform-origin: 124.458px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the thickness of the confined aquifer. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 477.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 238.85px; text-align: left; transform-origin: 384px 238.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"620\" height=\"472\" style=\"vertical-align: baseline;width: 620px;height: 472px\" 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\" alt=\"Capture zone\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Q0 = captureZone(x,y,Qp)\r\n% x,y = coordinates of contaminated area\r\n% Qp = background flow per unit width\r\n% Q0 = required pumping rate\r\n Q0 = Qp*max(abs(y));\r\nend","test_suite":"%% \r\nx = -100; % x-coordinate of contaminated area (m)\r\ny = 75; % y-coordinate of contaminated area (m)\r\nQp = 2; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 377.3; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx = [-100 -100 -300 -300]; % x-coordinates of contaminated area (m)\r\ny = [75 -75 -75 75]; % y-coordinates of contaminated area (m)\r\nQp = 2; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 377.3; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx = [-100 -100 -200 -300 -300 -200]; % x-coordinates of contaminated area (m)\r\ny = [75 -75 -100 -75 75 100]; % y-coordinates of contaminated area (m)\r\nQp = 2; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 469.3; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2021 exam 2 problem 5\r\nx = [-47.1 -48.9 22.4]; % x-coordinates of contaminated area (m)\r\ny = [10 -10 -30]; % y-coordinates of contaminated area (m) \r\nQp = 0.048; % Background flow per unit width (m2/d) \r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 9.73; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2022 exam 2 problem 3\r\nx = -18.5; % x-coordinate of contaminated area (m)\r\ny = -25; % y-coordinate of contaminated area (m)\r\nQp = 0.45; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 32; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2a problem 5\r\nx = -25; % x-coordinate of contaminated area (m)\r\ny = 60; % y-coordinate of contaminated area (m) \r\nQp = 0.231; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 44.3; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2b problem 5\r\nx = -10; % x-coordinate of contaminated area (m)\r\ny = 20; % y-coordinate of contaminated area (m) \r\nQp = 0.231; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 14.27; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2c problem 5\r\nx = -25; % x-coordinate of contaminated area (m)\r\ny = 20; % y-coordinate of contaminated area (m) \r\nQp = 0.231; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 11.77; % Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx = [15 -50 -100 -45]; % x-coordinates of contaminated area (m)\r\ny = [20 40 32 5]; % y-coordinates of contaminated area (m)\r\nQp = 0.3; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 40.65; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx = [15 -50 -100 -45]; % x-coordinates of contaminated area (m)\r\ny = [20 53 32 5]; % y-coordinates of contaminated area (m)\r\nQp = 0.3; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 42.93; % Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx = 200; % x-coordinate of contaminated area (m)\r\ny = 0; % y-coordinate of contaminated area (m) \r\nQp = 3.6; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 4523.9; % Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx = [200 110 0 -100 -175 -220 -160 -80 40]; % x-coordinates of contaminated area (m)\r\ny = [ 0 125 300 320 180 40 -195 -280 -250]; % y-coordinates of contaminated area (m) \r\nQp = 0.5; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 628.3; % Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx = [200 110 0 -100 -175 -220 -160 -80 100]; % x-coordinates of contaminated area (m)\r\ny = [ 0 125 300 320 180 40 -195 -280 -250]; % y-coordinates of contaminated area (m) \r\nQp = 0.5; % Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 659.8; % Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('captureZone.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:16:43.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-14T20:07:58.000Z","updated_at":"2026-02-12T14:46:59.000Z","published_at":"2023-10-14T20:08:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the background flow (with flow per unit width* \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is left to right, then the coordinates \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(xc, yc)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(x_c,y_c)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a point on the capture zone are given by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xc = yc/tan(yc/x0)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_c = y_c/\\\\tan(y_c/x_0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where the well is at (0,0) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the distance to the stagnation point downstream of the well. The distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e*Recall that specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is flow per area over which the flow is occurring. Then flow per unit width is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q' = vb\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\\\\prime = vb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the thickness of the confined aquifer. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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measurement uncertainty","description":"Suppose a variable depends on independent variables , , . If the independent variables have uncertainty , , etc. and the uncertainties are independent, then the uncertainty in can be estimated with \r\n\r\nFor this problem, the relationship between and will be power laws of the form\r\n\r\nFor example, the relationship would have c = 0.5 and a = [1 2]. \r\nWrite a function that takes a vector of values of , the coefficient , exponents , and a vector of uncertainties and returns the absolute uncertainty , relative uncertainty , and the index of the variable that contributes the most to the uncertainty in . Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement. 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display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.8583px 8px; transform-origin: 61.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSuppose a variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.4583px 8px; transform-origin: 40.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e depends on \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.3667px 8px; transform-origin: 72.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e independent variables \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x1\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x2\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"56.5\" height=\"20\" alt=\"x3,...,xn\" style=\"width: 56.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145.092px 8px; transform-origin: 145.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If the independent variables have uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"20\" alt=\"Deltax1\" style=\"width: 25.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"20\" alt=\"Deltax2\" style=\"width: 25.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.267px 8px; transform-origin: 209.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, etc. and the uncertainties are independent, then the uncertainty in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 71.5667px 8px; transform-origin: 71.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be estimated with \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 50.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 25.4px; text-align: left; transform-origin: 384px 25.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"166\" height=\"51\" alt=\"Deltay = sqrt(sum((dy/dxj Deltaxj)^2))\" style=\"width: 166px; height: 51px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.258px 8px; transform-origin: 132.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor this problem, the relationship between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"xj\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.7417px 8px; transform-origin: 93.7417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be power laws of the form\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 27px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 13.5px; text-align: left; transform-origin: 384px 13.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-8px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"124.5\" height=\"27\" alt=\"y = c x1^a1 x2^a2 x3^a3 ...xn^an\" style=\"width: 124.5px; height: 27px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1917px 8px; transform-origin: 92.1917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, the relationship \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"75\" height=\"35\" alt=\"KE = (1/2)mv^2\" style=\"width: 75px; height: 35px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 8px; transform-origin: 39.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e would have \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.95px 8px; transform-origin: 26.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ec = 0.5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.65px 8px; transform-origin: 34.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ea = [1 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.267px 8px; transform-origin: 147.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes a vector of values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.875px 8px; transform-origin: 48.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ec\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.1167px 8px; transform-origin: 38.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, exponents \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.7333px 8px; transform-origin: 93.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a vector of uncertainties \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" alt=\"Deltax\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and returns the absolute uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" alt=\"Deltay\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.5667px 8px; transform-origin: 64.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, relative uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEoAAAAlCAYAAADlcn/+AAAEQ0lEQVRoQ+1ZOYyNURh90xNCRUFBYUJCYk2EREMyoRCJrRCFWAoRBUGhUCCmEoUlClEIOqGhFWJpFBIKBAWVLfScwz2T++77/3u/+y8PL2+Sk3nz/ruebzvfPyOd4Y+JgRHTqOGgzpAooxMMIlF7cfebwGcjB6Zhg0bUHNz6FbAMeGpiwDho0Ig6invvAEaN9zcPGzSiXuDmV4FTZgaMA6sS9QHrn2vjQMZzFw1bii+fAHOB1zXWKZxahai1WOku8AOY3PSBaqx3EXMXAitqrFE6tQpRj7DacrfiVvy+0cbBKqxJLz8BXKgwNzkllyhVFS38Eh8aT5zJU/cOkJdPx6NGZYG2yiWK3jPmJk/6h7xKXr2lAsmmKTlETcOKn4BLwDfgkNvhcVt5wXSDP4O+A7vaTAM5RJ3BQfYBi9wFKOz007jAyyCJSnwcaLWwWImiN70DHgLr3CXo7pvd53ve97E78lJrgNnALGAGEOYV5sFnAEPbUixYgd8CeyIbc00+X+3GsBgxMsI5rJy7gZ7cayVKVtuERUgKf6RbdL4c/UIFfdJNDA/sE5UqFkoHVo/m2neAeW7v0Egiio+7jGQliqWXeSmscL5UKLJQxMgdzS3SYzTCLeA+EEvQJHw/MDO2UfBMFZJfHwNCFS+yugxvIYoHvR4y7DbXM50lpzzTS8+7iQxnearWIpFXgJguqtqy0PAM+6JCRCLPAiuBCalhIYoHnlLgTbqQNuXfOV6lsOE8JuPDnuWVE5nLynSRNF1OyGsLP8RCDviM0eOfJ/niTnmoyEW1qe8ZuW2Nwu8jFvPDhxWWxokl6Dotix9+rOTyWhroObAK6OoXUx7FysZJCyKWJWHUMRKgMVI9p/n9kYRIjylsSw8bTK7bsvx06/lRUGqgGFFybUs4+RfO8SrfsqoyFm9qomWRN6uyRg0UI4quvR2gwEy9tvDzDQ1l0T9yEN+yJIkaKrUnPX0qIE0Xeqrl79CbWVi+loV7GVFKptcSecI/kC9AU/rHnyfLsuoxL1EWpF68NdGyhDKBMqM0xZQRJUHIJPveYh53SQm5HK/yLctyzaY79gaAkuQy0ETLIm9OnreMKL/kG3nqGWZtln0tZlHYbFkYIk28KaAOo3GTLVgRUX65r0qS5lkurhCwFI3cliV1fob9fCCVE5M6KrVRE89pmJ2GkONeHHscyGlZYmdk5BwEkm9pUzqqCSJia6in6xF4JZMYKreBLtVc8ZAkp7TKhWv+TaIYRg+AAy5HpO5bp2UJ16ZnbgS2AaZXx/0kisl3MUB99sWRlPM/OFbHDUDuO3oa5AjwBmCrQpJonPVASh9OENxPovxSTNmR+3/Bqi2LLz+4LxveLJLIVj+JUsdO2cCEHL5WiYWemvOc1zhaT3mQuovq+7Q13PwD9ZOoVA6KPWd+WgIkq1OdTWJz/xei2rq/ed0hUUaqhkQZifoF9WLqJi/1yaIAAAAASUVORK5CYII=\" width=\"37\" height=\"18.5\" alt=\"Deltay/y\" style=\"width: 37px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 190.308px 8px; transform-origin: 190.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the index of the variable that contributes the most to the uncertainty in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 330.225px 8px; transform-origin: 330.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [dy,dyrel,i1] = uncertainty1(x,c,a,dx)\r\n% dy = uncertainty in y\r\n% dyrel = relative uncertainty in y (i.e., dy/y)\r\n% i1 = index of the variable that contributes most to the uncertainty\r\n% x = values of the independent variables\r\n% c = coefficient of the relationship\r\n% a = vector of exponents\r\n% dx = vector of uncertainties\r\n\r\n dy = sqrt(sum((dydx*dx).^2));\r\n dyrel = dy/y;\r\n i1 = find(max(dy));\r\nend","test_suite":"%% Volume of a cylinder: V = (pi/4)*D^2*H\r\nD = 75; % Diameter (mm)\r\ndD = 3; % Diameter uncertainty (mm)\r\nH = 75; % Height (mm)\r\ndH = 3; % Height uncertainty (mm)\r\n[dV,dVrel,i1] = uncertainty1([D H],pi/4,[2 1],[dD dH]);\r\ndV_correct = 2.9636e+04;\r\ndVrel_correct = 0.0894;\r\ni1_correct = 1;\r\nassert(abs(dV-dV_correct)\u003c1)\r\nassert(abs(dVrel-dVrel_correct)\u003c1e-4)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Hydraulic conductivity from constant-head permeameter test: K = VL/TAd\r\nV = 7.54e-5; % Volume (m3)\r\ndV = 1e-6; % Volume uncertainty (m3)\r\nL = 0.1; % Length (m)\r\ndL = 1e-3; % Length uncertainty (m)\r\nT = 1000; % Time (sec)\r\ndT = 1; % Time uncertainty (sec)\r\nA = 1.2657e-3; % Area (m2)\r\ndA = 6.3e-5; % Area uncertainty (m2)\r\nd = 0.05; % Head difference (m)\r\ndd = 1e-3; % Head difference uncertainty (m)\r\n[dK,dKrel,i1] = uncertainty1([V L T A d],1,[1 1 -1 -1 -1],[dV dL dT dA dd]);\r\ndK_correct = 6.691e-6;\r\ndKrel_correct = 0.0562;\r\ni1_correct = 4;\r\nassert(abs(dK-dK_correct)\u003c1e-9)\r\nassert(abs(dKrel-dKrel_correct)\u003c1e-4)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne = 0.1; % Effective porosity\r\ndne = 0.02; % Effective porosity uncertainty \r\nL = 20; % Length (m)\r\ndL = 0.3; % Length uncertainty (m)\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\ndK = 0.08; % Hydraulic conductivity uncertainty (m/d)\r\ndh = 1.5; % Head difference (m)\r\nddh = 0.2; % Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 15.48;\r\ndTrel_correct = 0.290;\r\ni1_correct = 1;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne = 0.1; % Effective porosity\r\ndne = 0.01; % Effective porosity uncertainty \r\nL = 20; % Length (m)\r\ndL = 0.3; % Length uncertainty (m)\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\ndK = 0.08; % Hydraulic conductivity uncertainty (m/d)\r\ndh = 1.5; % Head difference (m)\r\nddh = 0.2; % Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 12.43;\r\ndTrel_correct = 0.233;\r\ni1_correct = 3;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne = 0.1; % Effective porosity\r\ndne = 0.01; % Effective porosity uncertainty \r\nL = 20; % Length (m)\r\ndL = 1.7; % Length uncertainty (m)\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\ndK = 0.08; % Hydraulic conductivity uncertainty (m/d)\r\ndh = 1.5; % Head difference (m)\r\nddh = 0.2; % Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 15.3;\r\ndTrel_correct = 0.287;\r\ni1_correct = 2;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Discharge by Manning's equation: Q = (1/n) R^(2/3) S0^(1/2) A = (1/n) A^(5/3) S0^(1/2)/P^(2/3)\r\nn = 0.015; % Manning roughness coefficient\r\ndn = 0.002; % Manning roughness coefficient uncertainty \r\nA = 0.02; % Area (m2)\r\ndA = 2e-3; % Area uncertainty (m2)\r\nP = 0.04; % Wetted perimeter (m)\r\ndP = 8e-3; % Wetted perimeter uncertainty (m)\r\nS0 = 0.01; % Slope (-)\r\ndS0 = 7e-4; % Slope uncertainty (-)\r\n[dQ,dQrel,i1] = uncertainty1([n A P S0],1,[-1 5/3 -2/3 1/2],[dn dA dP dS0]);\r\ndQ_correct = 2.13e-2;\r\ndQrel_correct = 0.254;\r\ni1_correct = 2;\r\nassert(abs(dQ-dQ_correct)\u003c1e-4)\r\nassert(abs(dQrel-dQrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Discharge by Manning's equation: Q = (1/n) R^(2/3) S0^(1/2) A = (1/n) A^(5/3) S0^(1/2)/P^(2/3)\r\nn = 0.015; % Manning roughness coefficient\r\ndn = 0.002; % Manning roughness coefficient uncertainty \r\nA = 0.02; % Area (m2)\r\ndA = 1e-3; % Area uncertainty (m2)\r\nP = 0.04; % Wetted perimeter (m)\r\ndP = 4e-3; % Wetted perimeter uncertainty (m)\r\nS0 = 0.01; % Slope (-)\r\ndS0 = 7e-4; % Slope uncertainty (-)\r\n[dQ,dQrel,i1] = uncertainty1([n A P S0],1,[-1 5/3 -2/3 1/2],[dn dA dP dS0]);\r\ndQ_correct = 1.46e-2;\r\ndQrel_correct = 0.174;\r\ni1_correct = 1;\r\nassert(abs(dQ-dQ_correct)\u003c1e-4)\r\nassert(abs(dQrel-dQrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:25:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-02T03:35:52.000Z","updated_at":"2026-02-10T14:38:18.000Z","published_at":"2023-09-02T03:35:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose a variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e depends on \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e independent variables \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x3,...,xn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_3,\\\\ldots, x_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If the independent variables have uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, etc. and the uncertainties are independent, then the uncertainty in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be estimated with \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay = sqrt(sum((dy/dxj Deltaxj)^2))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y = \\\\left[\\\\sum_{j = 1}^n \\\\left(\\\\frac{\\\\partial y}{\\\\partial x_j}\\\\Delta x_j\\\\right)^2\\\\right]^{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor this problem, the relationship between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e will be power laws of the form\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y = c x1^a1 x2^a2 x3^a3 ...xn^an\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey = c x_1^{a_1} x_2^{a_2} x_3^{a_3}\\\\cdots x_n^{a_n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, the relationship \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"KE = (1/2)mv^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eKE = \\\\frac{1}{2} m v^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e would have \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec = 0.5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea = [1 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes a vector of values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, exponents \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a vector of uncertainties \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and returns the absolute uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, relative uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay/y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y/y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the index of the variable that contributes the most to the uncertainty in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58966,"title":"Compute the head for steady 1D flow in a homogeneous aquifer","description":"Problem statement\r\nWrite a function that computes the head (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations . The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length of the aquifer, hydraulic conductivity , aquifer thickness (set to [] for unconfined aquifers), width , and a vector BC, which contains two of three of the head at , the head at , and the flow . The function should also return the flow.\r\nBackground\r\nThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\r\n\r\nwhere is the flow area. For a confined aquifer, the flow area is , whereas for an unconfined aquifer .\r\nThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 738.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 369.25px; transform-origin: 407px 369.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 125.5px 8px; transform-origin: 125.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247.392px 8px; transform-origin: 247.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.433px 8px; transform-origin: 175.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.742px 8px; transform-origin: 114.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer, hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27.225px 8px; transform-origin: 27.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, aquifer thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (set to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.6333px 8px; transform-origin: 97.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for unconfined aquifers), width \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ew\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.3333px 8px; transform-origin: 44.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eBC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127.183px 8px; transform-origin: 127.183px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which contains two of three of the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.0583px 8px; transform-origin: 33.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 43.5583px 8px; transform-origin: 43.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127.575px 8px; transform-origin: 127.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The function should also return the flow.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.442px 8px; transform-origin: 381.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"85\" height=\"35\" style=\"width: 85px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 173.467px 8px; transform-origin: 173.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area. For a confined aquifer, the flow area is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49.5\" height=\"18\" style=\"width: 49.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 111.642px 8px; transform-origin: 111.642px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, whereas for an unconfined aquifer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"50\" height=\"18\" style=\"width: 50px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 365.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 182.85px; text-align: left; transform-origin: 384px 182.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"640\" height=\"360\" style=\"vertical-align: baseline;width: 640px;height: 360px\" 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data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,Q] = homogAq(x,confined,L,K,b,w,BC)\r\n% h = head at position x\r\n% Q = flow\r\n% x = position at which head is requested\r\n% L = length of aquifer\r\n% K = hydraulic conductivity\r\n% b = thickness of confined aquifer ([] if unconfined)\r\n% w = width of aquifer\r\n% BC = [h0 hL Q]--one of which is NaN\r\n\r\n h = conservation of mass + Darcy's law;\r\n Q = -K*dhdx*A\r\nend","test_suite":"%% Confined, boundary heads specified\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\nL = 24; % Length (m)\r\nb = 2.5; % Thickness (m)\r\nw = 400; % Width (m)\r\nBC = [4 2.5 NaN]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 12; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = 3.25;\r\nQ_correct = 31.25;\r\nassert(abs(h-h_correct)\u003c1e-4)\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Confined, head at x = 0 and flow specified\r\nK = 8; % Hydraulic conductivity (m/d)\r\nL = 2300; % Length (m)\r\nb = 31; % Thickness (m)\r\nw = 1800; % Width (m)\r\nBC = [45 NaN 892.8]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = [800 1800]; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [43.4 41.4];\r\nQ_correct = 892.8;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Confined, head at x = L and flow specified\r\nK = 0.04; % Hydraulic conductivity (m/d)\r\nL = 1850; % Length (m)\r\nb = 25; % Thickness (m)\r\nw = 1400; % Width (m)\r\nBC = [NaN 133 28]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 300:300:1800; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [164 158 152 146 140 134];\r\nQ_correct = 28;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Unconfined, boundary heads specified\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\nL = 24; % Length (m)\r\nw = 400; % Width (m)\r\nBC = [4 2.5 NaN]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 12; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = 3.3354;\r\nQ_correct = 40.625;\r\nassert(abs(h-h_correct)\u003c1e-4)\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Unconfined, head at x = 0 and flow specified\r\nK = 8; % Hydraulic conductivity (m/d)\r\nL = 2300; % Length (m)\r\nw = 1800; % Width (m)\r\nBC = [45 NaN 892.8]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = [800 1800]; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [43.8839 42.4476];\r\nQ_correct = 892.8;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Unconfined, head at x = L and flow specified\r\nK = 0.04; % Hydraulic conductivity (m/d)\r\nL = 1850; % Length (m)\r\nw = 1400; % Width (m)\r\nBC = [NaN 133 28]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 300:300:1800; % Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [138.7047 137.6190 136.5247 135.4216 134.3093 133.1878];\r\nQ_correct = 28;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%% Confined, random selection of boundary conditions\r\nK = 2.3; % Hydraulic conductivity (m/d)\r\nL = 2000; % Length (m)\r\nb = 34; % Thickness (m)\r\nw = 1650; % Width (m)\r\nBC = [54 51 193.545]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 400:400:1600; % Position in aquifer (m)\r\nk = randi(3);\r\nBC(k) = NaN;\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [53.4 52.8 52.2 51.6];\r\nQ_correct = 193.545;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(all(abs(Q-Q_correct)\u003c1e-4))\r\n\r\n%% Unconfined, random selection of boundary conditions\r\nK = 2.3; % Hydraulic conductivity (m/d)\r\nL = 2000; % Length (m)\r\nw = 1650; % Width (m)\r\nBC = [54 51 298.85625]; % Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 400:400:1600; % Position in aquifer (m)\r\nk = randi(3);\r\nBC(k) = NaN;\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [53.4135 52.8205 52.2207 51.6140];\r\nQ_correct = 298.85625;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(all(abs(Q-Q_correct)\u003c1e-4))","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-09T15:47:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2023-09-09T15:42:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-09T15:33:16.000Z","updated_at":"2026-02-10T14:45:49.000Z","published_at":"2023-09-09T15:42:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer, hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, aquifer thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (set to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for unconfined aquifers), width \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ew\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, which contains two of three of the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The function should also return the flow.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area. For a confined aquifer, the flow area is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA = bw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, whereas for an unconfined aquifer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA = hw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"360\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"640\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 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the water table elevation in an unconfined aquifer with recharge","description":"Problem statement\r\nWrite a function to compute the water table elevation above the bottom of the aquifer and the position of a groundwater divide given the water table elevations at , at , hydraulic conductivity , and recharge rate . If there is no groundwater divide, set xd to the empty set []. \r\nBackground\r\nAs in other problems in this series, the movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\r\n\r\nwhere is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position is \r\n\r\nwhere is the (unknown) flow at . Using Darcy’s law to replace provides a differential equation that can be integrated using the water table elevations at the boundaries to determine and a constant of integration.\r\nUnlike the flows in Cody Problem 58966, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 838.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.25px; transform-origin: 407px 419.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 164.792px 8px; transform-origin: 164.792px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the water table elevation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.542px 8px; transform-origin: 206.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e above the bottom of the aquifer and the position of a groundwater divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"xd\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 101.917px 8px; transform-origin: 101.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e given the water table elevations \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAoCAYAAACb3CikAAACPUlEQVRYR+1XOy9FQRC+t1fpaBQUEgqNkAgRERKJ1uMPeFQqEgolCZXKI0rx6pSUNB6thIKWioYf4PtkRsaxe/bknrvuLc4mX/Ym59yZ78x8M7NbLtXJKtcJj1JBJJmJIiJ5ItIqf36OIfC01IzA4TAwAHQADcAmsPTfROivETgCSIprFLioBRH6PAEmgFegE3ivFZEXOG6SSDAiUVaofLvh9VY8z2PficICRkNElvHOmjhvwx6lYmg/RORchPqIvS+WPrIQ+cBLLNs9YFYiwwraAtqBT2AIuMubslAfYUS4pgBWzy4wDhwA1AxJ3gC9MYlswPiifHUL9m1xtoKdWtFqik7kGs565IvPsA8C0wD7iK0mm7aKA+NLDTvqm1g9xd4v0Kqx1aRpq5gE/+gjMolnx8ZysrVrNVGsTFvubusjQlHOCBFX6LWafPrgpGaVUWNcJHwI7APOCvMRUSHSQBdgG5nVB4W7npITV/k7X3cR4dc8GX0wTXZl7bbWTnBqu4jMwauWqsuA6kPTwgjx3JKMjNrh1KbYU8eDi0ho7Gu4mRZq6d7jSO3w/BKc2i4i6shlwOqDEeFaBVyHJUs4TUffRpJEQmOfeb8CeD4hER8JayfT1A5N35SCSH2kgqY+mrMYiUVEx0Pm9h+DiB0PvvbP1HH9NLcYRHQ8pJXtA0gsWJHHIGLLP6kPRos9in3l142gmkTohNcOXsJ4YOJiZV3Kbw7HMXn256JWTSJZisP7TkEkGZoiIkVEQiX1BQjHeSlahDCkAAAAAElFTkSuQmCC\" width=\"17\" height=\"20\" alt=\"hL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.35px 8px; transform-origin: 72.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.0667px 8px; transform-origin: 61.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and recharge rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"12\" height=\"20\" alt=\"i0\" style=\"width: 12px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27.6px 8px; transform-origin: 27.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If there is no groundwater divide, set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003exd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.6583px 8px; transform-origin: 53.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the empty set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.3917px 8px; transform-origin: 35.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs in other \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eproblems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ein\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56205\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eseries\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 264.883px 8px; transform-origin: 264.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"91.5\" height=\"35\" alt=\"Q = -K(dh/dx)hw\" style=\"width: 91.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ew\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 333.967px 8px; transform-origin: 333.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 8px; transform-origin: 8.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"91\" height=\"20\" alt=\"Q = Q0 + i0 w x\" style=\"width: 91px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.4px 8px; transform-origin: 77.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the (unknown) flow at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAkCAYAAADFGRdYAAACwUlEQVRoQ+2YPU8VQRSGoYcQsMICCyi0ILEBbSi0gITQ2CiGHqUmkGisJdEfoPILlIRQY6kxASk10UIKjdGKr2iP70vOSc6dnd09e+GyxJ1N3sy9u7OzM8+er9nurnSUEugu7ZE6dCVIDiNIkBIkBwFHl2RJCZKDgKNL0yxpGEyeQleEzRDaT9ATaCePV5MgPQSEF9A2NA3tC5Q3aO9Cq9CDGKimQJrE4jehv9B1aNfAGMDvz9Ag9BhaCUE1BdIvgbCG9l7EWh6JGxIiXVGt7KRrEyCpm3G9C9DLCKQxnPso55+jXbZ9mgCJbkZ34zEO5QXoY+nzFe21pkHSxdOVeiNWpKe28OOG/LlkXa7IkhjQGPVvQRMQA5s1V15ntmCf39DlggnUdYkp/5s8vAqkKdzzViddBIkm2g8dQOtQj4FBQB9kkKvSjqC1WSMGRrPMaaFFs1BkUPu8KpBaxvfGpFeYwLwxRVrQIcS6gm+L0HKLMTP5OiGxPrpZ8HbsGtuCxLT5Wh6gZngf/1tS5WnNowP325fCedON8o5nuLAkF9uCREvZkwFiBVkH1ncmQ56ru3HGXyDGn0yKPJPldGaQ8OV6s5s7cIfT1j1OWQDszHLbH/UPbmXSKZu3lgDsd9vGWG/gDgNuC+kK8z/vwM2p2WKyKAMrzEw544FEk/0uQY1ZjUemdHeCqgOS3ZbMYp70iPCw9VTma4AHEs3wHcT9jMYlm045CW4cL3Kmq7LBDb8SRDe43OzxYN2j1FlpE4KtJQiYgO5AF70csBbcsuWQtSpE16cSuxtmAPsJzUBaSdt6ib57FFx3el0t3dTtwuxc+aMbffM9xH0aXWrOANKVaRbIu14LAedDaVGL0Cj0A+qTdgNt7BPKybCemOR8/v/bLUFyvNsEKUFyEHB0SZaUIDkIOLokS0qQHAQcXZIlOSD9A6nxkiWxjY9EAAAAAElFTkSuQmCC\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94px 8px; transform-origin: 94px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Using Darcy’s law to replace \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 135.633px 8px; transform-origin: 135.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e provides a differential equation that can be integrated using the water table elevations at the boundaries to determine \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1833px 8px; transform-origin: 92.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and a constant of integration.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.35px 8px; transform-origin: 58.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUnlike the flows in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 233.383px 8px; transform-origin: 233.383px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 403.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 201.85px; text-align: left; transform-origin: 384px 201.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"586\" height=\"398\" style=\"vertical-align: baseline;width: 586px;height: 398px\" 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\" alt=\"Unconfined aquifer with recharge\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0)\r\n h = (h0+hL)/2;\r\n xd = x;\r\nend","test_suite":"%%\r\nL = 10; % Length (m) \r\nx = L/2; % Position where WTE is desired (m)\r\nh0 = 19.11; % Water table elevation at x = 0 (m)\r\nhL = 19.11; % Water table elevation at x = L (m)\r\nK = 5e-7; % Hydraulic conductivity (m/s)\r\ni0 = 6.9e-8; % Recharge rate (m/s)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = 19.2;\r\nxd_correct = 5;\r\nassert(abs(h-h_correct)\u003c1e-3)\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 1200; % Length (m) \r\nx = 0:300:1200; % Positions where WTE is desired (m)\r\nh0 = 25; % Water table elevation at x = 0 (m)\r\nhL = 23; % Water table elevation at x = L (m)\r\nK = 4; % Hydraulic conductivity (m/d)\r\ni0 = 2e-4; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [25.000 24.789 24.393 23.801 23.000];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 1200; % Length (m) \r\nx = 0:300:1200; % Positions where WTE is desired (m)\r\nh0 = 25; % Water table elevation at x = 0 (m)\r\nhL = 23; % Water table elevation at x = L (m)\r\nK = 4; % Hydraulic conductivity (m/d)\r\ni0 = 8e-4; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [25.000 25.593 25.475 24.637 23.000];\r\nxd_correct = 400;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 2500; % Length (m) \r\nx = [100 200 300 700 1200 1800 2400]; % Positions where WTE is desired (m)\r\nh0 = 35; % Water table elevation at x = 0 (m)\r\nhL = 33.5; % Water table elevation at x = L (m)\r\nK = 50; % Hydraulic conductivity (m/d)\r\ni0 = 1e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [35.010 35.014 35.012 34.949 34.74 34.296 33.633];\r\nxd_correct = 222.5;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 2500; % Length (m) \r\nx = [100 200 300 700 1200 1800 2400]; % Positions where WTE is desired (m)\r\nh0 = 35; % Water table elevation at x = 0 (m)\r\nhL = 33.5; % Water table elevation at x = L (m)\r\nK = 60; % Hydraulic conductivity (m/d)\r\ni0 = 1e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [34.998 34.992 34.981 34.889 34.665 34.235 33.621];\r\nxd_correct = 17;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 20; % Length (m) \r\nx = 0:4:20; % Positions where WTE is desired (m)\r\nh0 = 5; % Water table elevation at x = 0 (m)\r\nhL = 3.5; % Water table elevation at x = L (m)\r\nK = 0.5; % Hydraulic conductivity (m/d)\r\ni0 = 1e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [5 4.752 4.482 4.188 3.864 3.5];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 20; % Length (m) \r\nx = 0:4:20; % Positions where WTE is desired (m)\r\nh0 = 5; % Water table elevation at x = 0 (m)\r\nhL = 3.5; % Water table elevation at x = L (m)\r\nK = 0.1; % Hydraulic conductivity (m/d)\r\ni0 = 5e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [5 5.065 4.97 4.706 4.243 3.5];\r\nxd_correct = 3.625;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 1000*rand; % Length (m) \r\nx = L/17; % Positions where WTE is desired (m)\r\nh0 = randi(100); % Water table elevation at x = 0 (m)\r\nhL = h0; % Water table elevation at x = L (m)\r\nK = 5; % Hydraulic conductivity (m/d)\r\ni0 = 5e-3; % Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nassert(abs(xd-L/2)\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('unconfWithRecharge.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-23T13:56:40.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-23T01:49:39.000Z","updated_at":"2026-02-12T13:52:11.000Z","published_at":"2023-09-23T01:49:48.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the water table elevation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e above the bottom of the aquifer and the position of a groundwater divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xd\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e given the water table elevations \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and recharge rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"i0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If there is no groundwater divide, set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to the empty set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs in other \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eproblems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56205\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eseries\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)hw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}hw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ew\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = Q0 + i0 w x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = Q_0 + i_0 w x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the (unknown) flow at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Using Darcy’s law to replace \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e provides a differential equation that can be integrated using the water table elevations at the boundaries to determine \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and a constant of integration.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUnlike the flows in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59029,"title":"Compute the water table in a layered unconfined aquifer","description":"Write a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at and , and the length of the aquifer.\r\nBackground \r\nCody Problem 52070 dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \r\nFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE varies with , so does :\r\n\r\nThen using Darcy’s law as in Cody Problem 58966, one can write the flow through the aquifer as\r\n\r\nConservation of mass says that in steady one-dimensional flow, the flow past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions and to determine the flow and the constant of integration. \r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 836.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 418.15px; transform-origin: 407px 418.15px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.442px 8px; transform-origin: 367.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.3333px 8px; transform-origin: 44.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.775px 8px; transform-origin: 42.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 85px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42.5px; text-align: left; transform-origin: 384px 42.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 306.625px 8px; transform-origin: 306.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24.5\" height=\"20\" alt=\"Keff\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 330.125px 8px; transform-origin: 330.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 321.408px 8px; transform-origin: 321.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.95px 8px; transform-origin: 36.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e varies with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.2167px 8px; transform-origin: 13.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, so does \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24.5\" height=\"20\" alt=\"Keff\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"172\" height=\"35\" alt=\"Keff = (1/h)[(K2-K1) b2 + K1(h-b2)]\" style=\"width: 172px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.8917px 8px; transform-origin: 90.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen using Darcy’s law as in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.5083px 8px; transform-origin: 73.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, one can write the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.0167px 8px; transform-origin: 70.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e through the aquifer as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"183\" height=\"35\" alt=\"Q = -Keff(dh/dx)A = -Keff(dh/dx)hw\" style=\"width: 183px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 224.825px 8px; transform-origin: 224.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConservation of mass says that in steady one-dimensional flow, the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 152.058px 8px; transform-origin: 152.058px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"61\" height=\"20\" alt=\"h(0) = h0\" style=\"width: 61px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"64.5\" height=\"20\" alt=\"h(L) = hL\" style=\"width: 64.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0.991667px 8px; transform-origin: 0.991667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to determine the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.9583px 8px; transform-origin: 99.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the constant of integration. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 346.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 173.35px; text-align: left; transform-origin: 384px 173.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"559\" height=\"341\" style=\"vertical-align: baseline;width: 559px;height: 341px\" 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alt=\"unconfined aquifer with soils in parallel\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L)\r\n% h = water table elevation above the aquifer bottom\r\n% Qp = flow per unit width\r\n% x = locations where WTE is requested\r\n% K1 = hydraulic conductivity of upper layer\r\n% K2 = hydraulic conductivity of lower layer\r\n% b2 = thickness of lower layer\r\n% h0 = water table elevation on the left side (x = 0)\r\n% hL = water table elevation on the right side (x = L)\r\n% L = length of the aquifer\r\n\r\n Qp = mean([K1 K2])*(h0-hL)*b2/L;\r\n h = h0 + (hL-h0)*x/L;","test_suite":"%%\r\nx = [0 251.884 503.2297 754.0371 1004.3062 1254.0371 1503.2297 1751.884 2000];\r\nK1 = 900; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 8000; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 37; % Water table elevation on the left side (m)\r\nhL = 33; % Water table elevation on the right side (m)\r\nL = 2000; % Length of aquifer (m)\r\nb2 = 25; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 37:-0.5:33;\r\nQp_correct = 418;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 284.1463 558.5366 823.1707 1078.0488 1323.1707 1558.5366 1784.1463 2000];\r\nK1 = 8000; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 900; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 37; % Water table elevation on the left side (m)\r\nhL = 33; % Water table elevation on the right side (m)\r\nL = 2000; % Length of aquifer (m)\r\nb2 = 25; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 37:-0.5:33;\r\nQp_correct = 205;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 230.8945 460.1048 687.631 913.4731 1137.631 1360.1048 1580.8945 1800];\r\nK1 = 4; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 50; % Water table elevation on the left side (m)\r\nhL = 48; % Water table elevation on the right side (m)\r\nL = 1800; % Length of aquifer (m)\r\nb2 = 16; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 50:-0.25:48;\r\nQp_correct = 0.1484;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 225.2925 450.5015 675.6269 900.6686 1125.6269 1350.5015 1575.2925 1800];\r\nK1 = 0.1; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 4; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 50; % Water table elevation on the left side (m)\r\nhL = 48; % Water table elevation on the right side (m)\r\nL = 1800; % Length of aquifer (m)\r\nb2 = 16; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 50:-0.25:48;\r\nQp_correct = 7.48e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 2.6558 5.2033 7.6423 9.9729 12.1951 14.3089 16.3144 18.2114 20];\r\nK1 = 0.5; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7; % Water table elevation on the left side (m)\r\nhL = 2.8; % Water table elevation on the right side (m)\r\nL = 20; % Length of aquifer (m)\r\nb2 = 1.5; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.613e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 2.6558 5.2033 7.6423 9.9729 12.1951 14.3089 16.3144 18.2114 20];\r\nK1 = 0.5; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7; % Water table elevation on the left side (m)\r\nhL = 2.8; % Water table elevation on the right side (m)\r\nL = 20; % Length of aquifer (m)\r\nb2 = 1.5; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.613e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = [0 2.3183 4.6126 6.8829 9.1291 11.3514 13.5495 15.7237 17.8739 20];\r\nK1 = 0.1; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.5; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7; % Water table elevation on the left side (m)\r\nhL = 2.8; % Water table elevation on the right side (m)\r\nL = 20; % Length of aquifer (m)\r\nb2 = 1.5; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.163e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:325:1300;\r\nK1 = 5; % Hydraulic conductivity of upper layer (m/d)\r\nK2 = 5; % Hydraulic conductivity of lower layer (m/d)\r\nh0 = 10; % Water table elevation on the left side (m)\r\nhL = 9; % Water table elevation on the right side (m)\r\nL = 1300; % Length of aquifer (m)\r\nb2 = 4; % Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = [10 9.7596 9.5131 9.2601 9];\r\nQp_correct = 3.65e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nfiletext = fileread('unconfParallel.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-30T19:04:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-30T15:05:42.000Z","updated_at":"2023-09-30T19:04:22.000Z","published_at":"2023-09-30T15:09:18.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e varies with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, so does \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff = (1/h)[(K2-K1) b2 + K1(h-b2)]\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff} = \\\\frac{1}{h}[K_2 b_2 + K_1(h-b_2)]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen using Darcy’s law as in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, one can write the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e through the aquifer as\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -Keff(dh/dx)A = -Keff(dh/dx)hw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K_{eff} \\\\frac{dh}{dx} A = -K_{eff} \\\\frac{dh}{dx} h w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConservation of mass says that in steady one-dimensional flow, the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(0) = h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(0) = h_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(L) = hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(L) = h_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to determine the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the constant of integration. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"341\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"559\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" 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a scheme to dewater a construction area","description":"In addition to supplying water and capturing contaminants, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation at least a value over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than . \r\nThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\r\n\r\nwhere is the hydraulic conductivity, is the pumping rate of the th well, is the radius of influence, and is the distance from the th well to the point in question. \r\nWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 825.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 412.8px; transform-origin: 407px 412.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.0083px 8px; transform-origin: 42.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn addition to \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/57452\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esupplying water\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59104\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ecapturing contaminants\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 205.442px 8px; transform-origin: 205.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.95px 8px; transform-origin: 50.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at least a value \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24\" height=\"20\" alt=\"smin\" style=\"width: 24px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.2917px 8px; transform-origin: 67.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"87\" height=\"20\" alt=\"hmax = H - smin\" style=\"width: 87px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.417px 8px; transform-origin: 373.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 48.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 24.45px; text-align: left; transform-origin: 384px 24.45px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"190.5\" height=\"49\" alt=\"h = sqrt(H^2 - (1/(pi K) sum(Qj ln(R/rj))\" style=\"width: 190.5px; height: 49px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.5px 8px; transform-origin: 90.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the hydraulic conductivity, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Qj\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8417px 8px; transform-origin: 82.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the pumping rate of the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ej\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.725px 8px; transform-origin: 23.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth well, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radius of influence, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14\" height=\"20\" alt=\"rj\" style=\"width: 14px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.6083px 8px; transform-origin: 20.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the distance from the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ej\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.075px 8px; transform-origin: 96.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth well to the point in question. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379.117px 8px; transform-origin: 379.117px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 476.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 238.35px; text-align: left; transform-origin: 384px 238.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"614\" height=\"471\" style=\"vertical-align: baseline;width: 614px;height: 471px\" 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cTIma/gu2WYhpLuqeNmgt99+O2zXrl173HHHjR8//qmnngpxNGwnTpxYXFz86KOPxmlRaWlp2O68885xuJWWLVu2bds2FBs3bowdcs5nq0vESwAg23y25vMlysZlLyZj+NpImNukvLw8JsyVK1eGWHjqqadecMEFQ4cOPeqoo0Iz5MkrrrjiF7/4ReXcz23evDls27RpE4c1xVubbNq0KQ4bVFSvZBLbUemyl5IKACDLbFn9QVKxHSVL8zokk5oQCXObLF26tKysLBSdO3eePXv2TTfdNHr06CuvvPK+++6bNm1a/BLaCRMmhPxZOT2x1157JVUN+fn5SdU4y+uVTAIAAHaQZGleh2RSE+JzmA2r53OY69atW7JkyYYNG4455pg99tgj6X7hoYceine5HDp0aIidoYj/qQ4dOsydO7dyyta6d+/+8ccfn3DCCbfddlvSqluRz2Fmnw1zH/xw8kWxbrXnfv93vLubAgA70gfXnf7ZmuQ7CPcZ9bP2fc6MNVmi6S3pJcyG1f9NP/UoLy8//PDDN23adOCBBz7xxBOhM3LkyGeffXb33Xd/8cXaL4I/4ogjPvnkk5NOOunmm29OWnWTMLNQ9YRZcEiP/cY/HGsAgB1ixcijJcxs1vSW9K6S/Rq1bNkyfiDzj3/8Y+wUFBSEbT1f5BM/qBkvrwUAAMgtEubXK94hs0WLFnEY74FZWlpaXl4eO9WFeLlly5ZQdO7cOXYAAAByiIS5TZ577rlx48ZdddVVybiGkpLPr0no2LFjHB566KGxWLJkSSyqq7p0trCwMBYAAAA5RMLcJk8++eQDDzzw8MMPb/VtsVGIl++++24o4rWyQc+ePfPy8kLx0ku13NNi8eLFYZufn9+rV6/YAQAAyCES5jY5+eSTYzF16tRYVDdhwoSwDZHyrLPOip327dv36NEjFPfff//69etjM1q7du3MmTND0a9fv3hXTAAAgNwiYW6T4uLigw8+OBSzZs2aOHFi1acrQ3ocM2bMnDlzQj1s2LD9998/9oNLLrkkbEOeHDFixJo1a2KzpKRk+PDhGzZsaN269fnnnx+bAAAAuUXC3FZTpkzZd999QzF16tQjjjhi5MiR55xzzjHHHDN79uzQPPHEEy+99NLKiYmDDjoofm5z8eLFvXv3DpPPPvvsMO3NN98Mzeuvv77qQ5sAAAC5RcLcVnvvvfcjjzwSUmJ+fn5paemzzz47f/78LVu2dOjQYdy4cbfccksyr5qQKidNmhQmhGlh8oIFC8rKyjp16jRt2rT+/fsnkwAAAHJNi4qKiqQk1zS927M2ARvmPvjh5ItiXXBIj/3GPxxrAIAdYsXIoz9b8/ndDYJ9Rv2sfZ8zY02WaHpLeu9hAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwmzY+vXri4uLL7300mRch8cff/zCCy8cWGns2LFPPvlk8kAdMp0PAACQ5STMhl1++eV/+tOfNmzYkIxrWLdu3RlnnHHZZZc9/fTTyyo99dRTF1988eDBg2v9XZnOBwAAyAkSZgNCvJw3b14yqE15efl55533+uuvh3rIkCF33HHH5MmTBw4cGIYLFy4cNWpU5ay/yXQ+AABArpAw67R+/frhw4c/9thjybgO06dPX7ZsWShuvfXWq6++uri4+Pjjj58wYUKoQ3PBggUPPfRQ5cREpvMBAAByhYRZu9mzZ/fv3/+FF14Idbt27WKzVjNmzAjbXr169e3bN3aiIUOGdOvWLRQhUsZOlOl8AACAXCFh1mLYsGFjxoxZvXp1QUHBj3/84xj8arVo0aJVq1aFYsCAAbFT3aBBg8L2rbfeeu+992In0/kAAAA5RMKsxTvvvBO2xcXFv/nNb7773e/GZq2WLl0ai65du8aiui5dusQiXhYbZDofAAAgh0iYtejTp8+DDz54xx13dOjQIWnVIUbBvLy8WmcWFhbGYuHChbHIdD4AAEAOkTBr8YMf/KDq7cT6lZaWhu3OO+8ch1tp2bJl27ZtQ7Fx48bYyXR+g4rqlUwCAAB2kGRpXodkUhMiYW6TzZs3h22bNm3isKZWrVqF7aZNm+Iw0/kNWl6vZBIAALCDJEvzOiSTmhAJMwV77bVXUtWQn5+fVNVkOh8AACAnSJgpWL9+fVI1TqbzAQAAcoKEuU1atvx8B8ZrX2v16aefhm1eXl4cZjofAAAgh0iY26SgoCBs6/linhgm27VrF4eZzgcAAMghEuY2iTcdKS0tLS8vj53qQlzcsmVLKDp37hw7mc4HAADIIRLmNjn00ENjsWTJklhU9+KLL8ai6kaXmc4HAADIIRLmNunZs2f8zORLL70UO9UtXrw4bPPz83v16hU7mc4HAADIIRLmNmnfvn2PHj1Ccf/992/1DbFr166dOXNmKPr16xfvchlkOh8AACCHSJjb6pJLLgnbkA9HjBixZs2a2CwpKRk+fPiGDRtat259/vnnx2aU6XwAAIBcIWFuq4MOOuiqq64KxeLFi3v37n3OOeecffbZJ5544ptvvhma119/fceOHSsnJjKdDwAAkCskzBSElDhp0qQOHTps2bJl/vz5CxYsKCsr69Sp07Rp0/r3759MqibT+QAAADmhRUVFRVKSa4qKipYvX54MyA4b5j744eSLYl1wSI/9xj8cawCAHWLFyKM/W1MS631G/ax9nzNjTZZoekt672ECAACQDgkTAACAdEiYAAAApEPCBAAAIB0SJgAAAOmQMAEAAEiHhAkAAEA6JEwAAADSIWECAACQDgkTAACAdEiYAAAApEPCBAAAIB0SJgAAAOmQMAEAAEiHhAkAAEA6JEwAAADSIWECAACQDgkTAACAdEiYAAAApEPCBAAAIB0SJgAAAOmQMAEAAEiHhAkAAEA6JEwAAADSIWHy1b3//k7jxu3Up89Ow4btdO+9O82bl/QBACA7xRVsWL6GX6Gwgk2dhMlXEV6ZIVh26rTT+PGfvyxDvAwv0dAJr1IAAMhOYbEaV7Bh+Rp+hSKsYMOvsLglLRImGQuvwPDKrPXfe8KrNDwEAADZJiTJsFitKSxrhcwUSZhkbNiwpKhVeHHWPwEAALaz+i+ItYJNkYRJZhrzecswocE5AACwfYQAWeu7l9VZwaZFwiQzzz2XFPUIr2GXGQAAkCUaGR0lzFRImGSmkS88CRMAgCzRmPdIgkZOo34SJpkpLEyK+q1cmRQAALBjdeyYFPVr5EKX+kmYZOa445Kifo2cBgAAX7fevZOC7UDCJDONfH16GQMAkCUa+eak90hSIWGSmRAdG0yP113nGgMAALJFWJqGBWr9whJ36NCkZltImGTsnnuSolbhBTxuXFIDAEA2COmxnrdJwgq2/iUujSdhkrHwClyxovZ/BwrN8BAAAGSVmCFrXcGG5BlWsGECqZAw+SriG5Vz537+Qh069PNfMVt69xIAgOwUV7BhyRpXsCFYhhVsWNCGX6SoRUVFRVKSa4qKipYvX54MyA4b5j744eSLYl1wSI/9xj8cawCAHWLFyKM/W1MS631G/ax9nzNjTZZoekt672ECAACQDgkTAACAdEiYAAAApEPCBAAAIB0SJgAAAOmQMAEAAEiHhAkAAEA6JEwAAADSIWECAACQDgkTAACAdEiYAAAApEPCBAAAIB0SJgAAAOmQMAEAAEiHhAkAAEA6JEwAAADSIWECAACQDgkTAACAdEiYAAAApEPCBAAAIB0SJgAAAOmQMAEAAEiHhAkAAEA6JEwAAADSIWECAACQDgkTAACAdEiYAAAApKNFRUVFUvJVlZSUvPzyy8mghhYtWgwaNCgZVPP444/PmTPngw8+CHVhYWFxcXG/fv3iQ41UVFS0fPnyZEB22DD3wQ8nXxTrgkN67Df+4VgDAOwQK0Ye/dmakljvM+pn7fucGWuyRNNb0kuYKbjlllsmT56cDGpo3br10qVLk0GldevWjRgx4vXXX0/GX+jWrdvtt9/evn37ZNwQCTMLSZgAQFaRMLNc01vSu0o2Be+8807Y5uXlhTBZU6tWreK0qLy8/LzzzovxcsiQIXfccUdIpwMHDgzDhQsXjho1qnIWAABA7pEwU7BkyZKwDSlxaW1ee+21OC2aPn36smXLQnHrrbdeffXVxcXFxx9//IQJE0IdmgsWLHjooYcqJwIAAOQYCXNbbd68+cMPPwxF9+7dY6d+M2bMCNtevXr17ds3dqIhQ4Z069YtFCGCxg4AAEBukTC31fz582NxwAEHxKIeixYtWrVqVSgGDBgQO9XFLwR666233nvvvdgBAADIIRLmtlq5cmXY5ufnFxUVxU49ln7xlT9du3aNRXVdunSJRbyMFgAAILdImNsqfmdPCIebNm2aOXPm2LFjR4wYEbZTp05dt25dnFMlRse8vLwOHTrETnWFhYWxWLhwYSwAAAByiIS5rd5+++2wXbt27XHHHTd+/Pinnnpq3rx5YTtx4sTi4uJHH300TotKS0vDduedd47DrbRs2bJt27ah2LhxY+wAAADkEAlzm5SXl8eEuXLlyhALTz311AsuuGDo0KFHHXVUaIY8ecUVV/ziF7+onPu5zZs3h22bNm3isKZ4a5NNmzbFYYOK6pVMAgAAdpBkaV6HZFITImFuk6VLl5aVlYWic+fOs2fPvummm0aPHn3llVfed99906ZNa9euXXhowoQJ8bOaVfbaa6+kqiE/Pz+pGmd5vZJJAADADpIszeuQTGpCJMxtst9++02ZMuUnP/nJvffeG+qkW+nYY4+96qqrQrFly5aZM2fGZrR+/fqkAgAAaEIkzG2y22679enT57TTTttjjz2SVjUDBw6Mn6t88cUXY6dly893eLxWtlaffvpp2Obl5cUhAABADpEwv0YhT8YPZP7xj3+MnYKCgrCt54t8YviMl9cCAADkFgnz6xXftGzRokUcxpuUlJaWlpeXx051IV5u2bIlFJ07d44dAACAHCJhbpPnnntu3Lhx8fOWtSopKQnbjh07xuGhhx4aiyVLlsSiuqqLaatujAkAAJBDJMxt8uSTTz7wwAMPP/zwVt8WG4V4+e6774YiXisb9OzZM37G8qWXXoqd6hYvXhy2+fn5vXr1ih0AAIAcImFuk5NPPjkWU6dOjUV1EyZMCNsQKc8666zYad++fY8ePUJx//33b/WNsmvXro1fOduvX794V0wAAIDcImFuk+Li4oMPPjgUs2bNmjhxYtWnK0N6HDNmzJw5c0I9bNiw/fffP/aDSy65JGxDnhwxYsSaNWtis6SkZPjw4Rs2bGjduvX5558fmwAAALlFwtxWU6ZM2XfffUMxderUI444YuTIkeecc84xxxwze/bs0DzxxBMvvfTSyomJgw46KH5uc/Hixb179w6Tzz777DDtzTffDM3rr7++6kObAAAAuUXC3FZ77733I488ElJifn5+aWnps88+O3/+/C1btnTo0GHcuHG33HJLMq+akConTZoUJoRpYfKCBQvKyso6deo0bdq0/v37J5MAAAByTYuKioqkJNcUFRUtX748GZAdNsx98MPJF8W64JAe+41/ONYAADvEipFHf7bm87sbBPuM+ln7PmfGmizR9Jb03sMEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHVmdMDdv3rxq1arly5cvWrToxhtvfPnll5cuXfr++++vX78+mQEAAEDWyMaEGVLl2LFju3fv/vd///d9+vT5zne+80//9E/Tpk0bMmTI6aeffuKJJx599NFdunQ55ZRTXnzxxeT3AAAAsKNlV8K85557unXrFlLlU0899fHHHyfd2mzatOndd98dNmxYUVFRiKPe1QQAANjhsiVhzpw587DDDvvxj3+8YcOG2Gnbtu2+++7793//99ddd91DDz30yCOPhO0vf/nLww8//IADDthll13itCDE0aOPPvpf//Vf//d//zdpAQAAsN21qKioSModpKSk5B//8R//8pe/xOF+++13wQUXHHvssbvttlvs1KW0tPSDDz645pprFi9enLR22in83tGjRyeDpq6oqGj58uXJgOywYe6DH06+KNYFh/TYb/zDsQYA2CFWjDz6szUlsd5n1M/a9zkz1mSJprek38HvYd52223HH398iJetW7cO4fDVV1995plnTjvttAbjZVBQUNC5c+df/epX4ZDcdddde+21V2jeeuutPXv29GYmAADA9rcjE+bKlStDIAxFyJZLly4dPXr0N77xjfhQpo477rjnn3/+6aef7tChQ8irAwYMSB4AAABge9nB72GeccYZf/jDH9K6rrWwsHDu3LkzZswoKChIWgAAAGwvOzJhduzY8Yc//GHLlin/GY4++ugnnngiGQAAALC97OD3MAEAAGgyJEwAAADSsePvVlKXd955Z8qUKStXriwrK0tatcnLy5s1a1YyaGbcrSQLuVsJAJBV3K0ky7lbyfbw7LPPhh196qmnPvHEE6+//vqyhiS/DQAAgB0q6xLmRx99NHLkyGQAAABA7si6q2S/+93vvvHGG6HYY4897r333m984xv5+fnxobrsueeeSdXMuEo2C7lKFgDIKq6SzXKukv3alZR8/gJo167d7373u86dO3/zm98MAbJ+8TcCAACwY2VdwiwtLQ3bY489Ng4BAADIFVmXMHfeeeewPeGEE+IQAACAXJF1CbNz585hO2XKlDgEAAAgV2RdwrzlllvC9u233/7zn/8cOwAAAOSErEuYe+yxx3XXXReK3r17P/fcc7EJAABA9su6u5VEjz766BVXXBGKvLy8XXfdtZ4blrRs2XLu3LnJoJlxt5Is5G4lAEBWcbeSLOduJdvDbbfdFuNlUFZWtnbt2g/r9tFHH8WZAAAA7FhZlzAXLVp06623JgMAAAByR9YlzEsvvTQWvXv3njdv3uuvv768Xm+88UacDwAAwI6VdQlz7dq1Ybvvvvveeeed3/zmN9u0aRP7AAAAZLmsS5ifffZZ2P7Lv/xLHDZhjz/++IUXXjiw0tixY5988snkAQAAgNyUdQlzl112Cdum/dblunXrzjjjjMsuu+zpp59eVumpp566+OKLBw8evGHDhmQSAABArsm6hHnUUUeF7d133x2HTU95efl55533+uuvh3rIkCF33HHH5MmTBw4cGIYLFy4cNWpU5SxyRqdOnebNm5cM6hbmhJnvv/9+MgYAgKYo6xLmDTfcELZ/+tOfnnnmmdhpYqZPn75s2bJQ3HrrrVdffXVxcfHxxx8/YcKEUIfmggULHnroocqJ5Ia5c+cOGzas/pAZHu3Tp88999xTWFiYtAAAoCnKuoRZUFBwxx13hGLUqFHXXHPNRx99VF5eHh9qGmbMmBG2vXr16tu3b+xEQ4YM6datWyhCBI0dckIIjfWHzBgvw5zevXsnLQAAaKKyLmFeddVVN9988+677x7qWbNmffvb3z7ooIO6dOnyrTocccQR8TfmhEWLFq1atSoUAwYMiJ3qBg0aFLZvvfXWe++9FzvkhHpCpngJAECzknUJ881Kf/nLX5JxpU2bNpXWITyUTMoFS5cujUXXrl1jUV0I0rGIl9GSQ/4WMp/7W8j83RvviZcAADQrWZcwd8lQu3btkt+ZC2J0zMvL69ChQ+xUV/UhvYULF8aCHBJD5vk33rVgzadhGLZnPbRYvAQAoFlpUVFRkZR8/S688MKnn346BONXXnklaX1Zly5dNm3a1L9//4kTJyatuhUVFS1fvjwZkB3+8NQDJ5x59nc7Ftz2h/99aGS/Qbc/kTwAALAjrBh59GdrSmK9z6ifte9zZqzJEk1vSZ9172E2bZs3bw7beu722apVq7Bt/KW/4YysRzKJ7WjfnfMuOHiXEC9/fOT/OWrP1kkXAIDmKlma1yGZ1IRImDvAXnvtlVQ15OfnJ1XjLK9XMont6OW1m694ZX2Il7e+8dd4uSwAAM1ZsjSvQzKpCdmRCbO8vLysrCwZpOoPf/hDUmWl9evXJxVNy7x58/qeOeS+b+/+3Y4F9x23+yX/+fu6bmECAABN0o5MmCUlJQcffPDUqVOTcRr+/Oc/9+nT54ILLkjGWaZly893eLxWtlaffvr5u155eXlxSA6JNyZ5/LqR8eLYfXfOC1GznvtkAgBA07Pjr5KdOHFily5dnnzyyWT8Va1atapv3769e/cOxQEHHJB0s0xBQUHYbty4MQ5riuEzt74gl+Bv97087m/fHNuxsGNyCxMhEwCA5mFHJsyOHTsuXrw4pMFNmzZdfPHFIWdeddVVa9euTR5unNLS0pkzZx5zzDFhfb9y5crQ+clPfnLnnXfGR7NNvElJ+DOXl5fHTnUhXm7ZsiUUnTt3jh1ywt/iZY0bk/ztPplCJgAAzcAOfg+zoKDgN7/5zU9/+tO8vLyQMx9++OGQFY888sjBgwcvX758zZo1tX5Qc8OGDe+8886ll1567LHHfutb3xo/fnzMpWF9//vf//60006L07LQoYceGoslS5bEoroXX3wxFlU3xiT71RMvIyETAIDmY8dfJRv069fvjTfeGDNmTBz+9a9/Xbhw4Xe+851evXodfPDBhx12WLdu3ULy7N69+xFHHFFUVBSGp5566q9//evVq1fH33LIIYe88MILd955Z7zbR9bq2bNn/IzlSy+9FDvVLV68OGzz8/PDE48dsl/98TKqCpnvv/9+0gIAgKYoKxJmdP755y9fvvynP/3pHnvskbQqffrppxs2bFi7du3HH3/8ySefJN1KBQUF/fv3D2ntkUce2XPPPZNuFmvfvn2PHj1Ccf/992/1jbLhCc6cOTMUIW9neU6muoqKivrjZRRC5ooVK7w7DQBA05ZFCTMK+ep3v/vdwoUL77vvvr/7u78LabN167/dtj4/P3/XXXft1KnTVVddNW/evMWLF0+cOHG33XZLHs4Fl1xySdiGPDlixIg1a9bEZklJyfDhw0OQDk82JO3YBAAAyC0tKioqkjK7lZWVNZl7eEyfPv36668PRQjMRx55ZHl5+auvvho/cRoCc//+/StnNayoqKhJ3qQ1p22Y++CHky+KdcEhPfYb/3CsAQB2iBUjj/5sTUms9xn1s/Z9zow1WaLpLemz7j3MujSlW0Sec845kyZN6tChw5YtW+bPn79gwYIQLzt16jRt2rTGx0sAAIBskzMJs4k55ZRT5s6du7ya2bNnH3vsscnDAAAAOUjCBAAAIB0SJgAAAOmQMAEAAEiHhAkAAEA6JEwAAADSIWECAACQDgkTAACAdEiYAAAApCPrEuall1763nvvJQMAAAByR9YlzHfffffkk0/u0qXLlVdeuXbt2qQLAABA1svSq2Q3bdr0yCOPHHPMMccee+yvfvWrzz77LHkAAACAbJV1CXPGjBljx47ddddd43D16tXf//73Dz300FNOOeWdd96JTQAAALJQ1iXMb3zjGyNGjJg/f/68efNOPfXU/Pz82H/33XfDsEuXLpdeeumaNWtiEwAAgOyRpVfJBt/85jdvuummZcuW/ed//menTp1ic9OmTb/+9a979ep1zDHHzJw5c/PmzbEPAADADpe9CbPK/vvvP3v27N///vcTJ07cZ599YnPt2rXjx4//+7//+5NOOuntt9+OTQAAAHagHEiYUatWrfr37//cc8+9+uqrt956a1XUXLFiRb9+/Q477LAf/ehHpaWlsQkAAMD2lzMJM1q3bt3dd9/9H//xHx9++GHSqvTpp5/OmDHjW9/61oQJE5IWAAAA21duJMzS0tIQII855pgePXpMnjx59erVsb/vvvuG/oMPPrjffvvFzr333jt48OBYAwAAsD1le8J84YUXjj/++G9961s/+tGP1q5dG5u77LLLqFGjFi5c+Oyzzx599NFdunR55plnwrBt27bh0VA8//zzcSYAAADbTZYmzJUrVw4cOLCoqGj48OElJSVJd6edunbtGsLkK6+8cuGFF7Zv3z7pVgrD//qv/4r1T37yk1gAAACw3WRdwvzBD37QpUuXvn37Llu2LGnttNM+++xz6623/uEPf5g5c2bVBbE17bnnnrEoKyuLBQAAANtN1iXMxYsXb9q0KdZt27Y9++yzX3rppeeeey5kzpYtG/jTVt0es0+fPrEAAABgu8nSq2Q7d+789NNPL1my5Jprrtltt92SbkMKCgrmzp376quvXnrppUkLAACA7SXrEua11177+uuvP/nkk4WFhUkrEx06dPjGN76RDAAAANiOsi5hHn744W3atEkGAAAA5I4svUoWAACAnCNhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkI4WFRUVSclXVVJS8vLLLyeDGlq0aDFo0KBkUM3jjz8+Z86cDz74INSFhYXFxcX9+vWLDzVSUVHR8uXLkwHZYcPcBz+cfFGsCw7psd/4h2MNALBDrBh59GdrSmK9z6ifte9zZqzJEk1vSS9hpuCWW26ZPHlyMqihdevWS5cuTQaV1q1bN2LEiNdffz0Zf6Fbt2633357+/btk3FDJMwsJGECAFlFwsxyTW9J7yrZFLzzzjthm5eXF8JkTa1atYrTovLy8vPOOy/GyyFDhtxxxx0hnQ4cODAMFy5cOGrUqMpZAAAAuUfCTMGSJUvCNqTEpbV57bXX4rRo+vTpy5YtC8Wtt9569dVXFxcXH3/88RMmTAh1aC5YsOChhx6qnAgAAJBjJMxttXnz5g8//DAU3bt3j536zZgxI2x79erVt2/f2ImGDBnSrVu3UIQIGjsAAAC5RcLcVvPnz4/FAQccEIt6LFq0aNWqVaEYMGBA7FQXvxDorbfeeu+992IHAAAgh0iY22rlypVhm5+fX1RUFDv1WPrFV/507do1FtV16dIlFvEyWgAAgNwiYW6r+J09IRxu2rRp5syZY8eOHTFiRNhOnTp13bp1cU6VGB3z8vI6dOgQO9UVFhbGYuHChbEAAADIIe5Wsq1OO+20N998s2PHjh9//PGGDRuSbqWCgoLrrrvuu9/9bjLeaacLL7zw6aef3mWXXV555ZWk9WUxqfbv33/ixIlJq24NvmvqXibbn7uVAABZxd1Kdrjmtmj3HuY2KS8vf/vtt0OxcuXKjRs3nnrqqRdccMHQoUOPOuqo0CwtLb3iiit+8YtfVM793ObNm8O2TZs2cVhTvLVJCJlx2KBwOtYjmQQAAOwgydK8DsmkJkTC3CZLly4tKysLRefOnWfPnn3TTTeNHj36yiuvvO+++6ZNm9auXbvw0IQJE+JnNavstddeSVVDfn5+UgEAAOQaCXOb7LffflOmTPnJT35y7733hjrpVjr22GOvuuqqUGzZsmXmzJmxGa1fvz6pAAAAmhAJsz5lZWUjanPbbbfFCbvttlufPn1OO+20PfbYI3aqGzhwYNu2bUPx4osvxk7Llp/v8HitbK0+/fTTsM3Ly4tDAACAHCJh1qe8vHxebapuOlK/kCfjBzL/+Mc/xk5BQUHYbty4MQ5riuEzXl4LAACQWyTM+oSI2Ls2hx12WDKjIfFNyxYtWsRhvElJaWlpyK6xU12Il1u2bAlF586dYwcAACCHSJj1ycvLu7M2o0ePjhOee+65cePGxc9b1qqk5PPvhu7YsWMcHnroobFYsmRJLKqrupi26saYAAAAOUTC3CZPPvnkAw888PDDD2/1bbFRiJfvvvtuKOK1skHPnj3jZyxfeuml2Klu8eLFYZufn9+rV6/YAQAAyCES5jY5+eSTYzF16tRYVDdhwoSwDZHyrLPOip327dv36NEjFPfff/9W3yi7du3a+JWz/fr1i3fFBAAAyC0S5jYpLi4++OCDQzFr1qyJEydWfboypMcxY8bMmTMn1MOGDdt///1jP7jkkkvCNuTJESNGrFmzJjZLSkqGDx++YcOG1q1bn3/++bEJAACQWyTMbTVlypR99903FFOnTj3iiCNGjhx5zjnnHHPMMbNnzw7NE0888dJLL62cmDjooIPi5zYXL17cu3fvMPnss88O0958883QvP7666s+tAkAAJBbJMxttffeez/yyCMhJebn55eWlj777LPz58/fsmVLhw4dxo0bd8sttyTzqgmpctKkSWFCmBYmL1iwoKysrFOnTtOmTevfv38yCQAAINe0qKioSEpyTVFR0fLly5MB2WHD3Ac/nHxRrAsO6bHf+IdjDQCwQ6wYefRnaz6/u0Gwz6ifte9zZqzJEk1vSe89TAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTL6699/fady4nfr02WnYsJ3uvXenefOSPgAAZKe4gg3L1/ArFFawqZMw+SrCKzMEy06ddho//vOXZYiX4SUaOuFVCgAA2SksVuMKNixfw69QhBVs+BUWt6RFwiRj4RUYXpm1/ntPeJWGhwAAINuEJBkWqzWFZa2QmSIJk4wNG5YUtQovzvonAADAdlb/BbFWsCmSMMlMYz5vGSY0OAcAALaPECBrffeyOivYtEiYZOa555KiHuE17DIDAACyRCOjo4SZCgmTzDTyhSdhAgCQJRrzHknQyGnUT8IkM4WFSVG/lSuTAgAAdqyOHZOifo1c6FI/CZPMHHdcUtSvkdMAAODr1rt3UrAdSJhkppGvTy9jAACyRCPfnPQeSSokTDITomOD6fG661xjAABAtghL07BArV9Y4g4dmtRsCwmTjN1zT1LUKryAx41LagAAyAYhPdbzNklYwda/xKXxJEwyFl6BK1bU/u9AoRkeAgCArBIzZK0r2JA8wwo2TCAVEiZfRXyjcu7cz1+oQ4d+/itmS+9eAgCQneIKNixZ4wo2BMuwgg0L2vCLFLWoqKhISnJNUVHR8uXLkwHZYcPcBz+cfFGsCw7psd/4h2MNALBDrBh59GdrSmK9z6ifte9zZqzJEk1vSe89TAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgNW79+fXFx8aWXXpqM6/D4449feOGFAyuNHTv2ySefTB6oQ6bzAQAAspyE2bDLL7/8T3/604YNG5JxDevWrTvjjDMuu+yyp59+elmlp5566uKLLx48eHCtvyvT+QAAADlBwmxAiJfz5s1LBrUpLy8/77zzXn/99VAPGTLkjjvumDx58sCBA8Nw4cKFo0aNqpz1N5nOBwAAyBUSZp3Wr18/fPjwxx57LBnXYfr06cuWLQvFrbfeevXVVxcXFx9//PETJkwIdWguWLDgoYceqpyYyHQ+AABArpAwazd79uz+/fu/8MILoW7Xrl1s1mrGjBlh26tXr759+8ZONGTIkG7duoUiRMrYiTKdDwAAkCskzFoMGzZszJgxq1evLigo+PGPfxyDX60WLVq0atWqUAwYMCB2qhs0aFDYvvXWW++9917sZDofAAAgh0iYtXjnnXfCtri4+De/+c13v/vd2KzV0qVLY9G1a9dYVNelS5dYxMtig0znAwAA5BAJsxZ9+vR58MEH77jjjg4dOiStOsQomJeXV+vMwsLCWCxcuDAWmc4HAADIIRJmLX7wgx9UvZ1Yv9LS0rDdeeed43ArLVu2bNu2bSg2btwYO5nOBwAAyCES5jbZvHlz2LZp0yYOa2rVqlXYbtq0KQ4znd+gonolkwAAgB0kWZrXIZnUhEiYKdhrr72Sqob8/PykqibT+fVYXq9kEgAAsIMkS/M6JJOaEAkzBevXr0+qxsl0PgAAQE5oXgmzrKxsRG1uu+22ZEaGWrb8fAfGa19r9emnn4ZtXl5eHGY6HwAAIIc0r4RZXl4+rzZVNxHJVEFBQdjW88U8MUy2a9cuDjOdDwAAkEOaV8Js2bJl79ocdthhyYwMxZuOlJaWhuwaO9WFuLhly5ZQdO7cOXYynQ8AAJBDmlfCzMvLu7M2o0ePTmZk6NBDD43FkiVLYlHdiy++GIuqG11mOh8AACCHNK+EmbqePXvGz0y+9NJLsVPd4sWLwzY/P79Xr16xk+l8AACAHCJhbpP27dv36NEjFPfff/9W3xC7du3amTNnhqJfv37xLpdBpvMBAAByiIS5rS655JKwDflwxIgRa9asic2SkpLhw4dv2LChdevW559/fmxGmc4HAADIFRLmtjrooIOuuuqqUCxevLh3797nnHPO2WeffeKJJ7755puhef3113fs2LFyYiLT+QAAALlCwkxBSImTJk3q0KHDli1b5s+fv2DBgrKysk6dOk2bNq1///7JpGoynQ8AAJATWlRUVCQluaaoqGj58uXJgOywYe6DH06+KNYFh/TYb/zDsQYA2CFWjDz6szUlsd5n1M/a9zkz1mSJprek9x4mAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDokTAAAANIhYQIAAJAOCRMAAIB0SJgAAACkQ8IEAAAgHRImAAAA6ZAwAQAASIeECQAAQDpaVFRUJCV1WL9+/cCBA7t27XrjjTcmrS8rKSl5+eWXk0ENLVq0GDRoUDKo5vHHH58zZ84HH3wQ6sLCwuLi4n79+sWHGqmoqGj58uXJgOywYe6DH06+KNYFh/TYb/zDsQYA2CFWjDz6szUlsd5n1M/a9zkz1mSJpreklzAbNmLEiHnz5vXu3fvOO+9MWl92yy23TJ48ORnU0Lp166VLlyaDSuvWrQv/zddffz0Zf6Fbt2633357+/btk3FDJMwsJGECAFlFwsxyTW9J7yrZBlx++eUhXiaDOrzzzjthm5eXF8JkTa1atYrTovLy8vPOOy/GyyFDhtxxxx0hnQ4cODAMFy5cOGrUqMpZAAAAuUfCrNP69euHDx/+2GOPJeO6LVmyJGxDSlxam9deey1Oi6ZPn75s2bJQ3HrrrVdffXVxcfHxxx8/YcKEUIfmggULHnroocqJAAAAOUbCrN3s2bP79+//wgsvhLpdu3axWavNmzd/+OGHoejevXvs1G/GjBlh26tXr759+8ZONGTIkG7duoUiRNDYAQAAyC0SZi2GDRs2ZsyY1atXFxQU/PjHP47Bry7z58+PxQEHHBCLeixatGjVqlWhGDBgQOxUF78Q6K233nrvvfdiBwAAIIf4pp9aHHvssSFeFhcXX3vttR06dKj/m35mzJjxox/9KD8/f+nSpS1bNpDY4+RQzJ07N/yXY7NKCJYnn3xyKCZOnNi/f//YrIdv+slCW33Tzz6jfhZrAIAd4oPrTvdNP9nMd8k2C9///vcHDRrUpUuXOKw/YV5yySVPPPFE165dp02b9thjj73yyiuffPJJu3btDjrooPAf2W233ZJ5lS6//PIwJy8v74033kha1ZSXl4ffFYp//Md//MEPfhCb9ZAws1D1hAkAkFUkzCzku2SbhZDuquJlg95+++2wXbt27XHHHTd+/PinnnoqxNGwnThxYnFx8aOPPhqnRaWlpWG78847x+FWWrZs2bZt21Bs3LgxdgAAAHKIhLlNysvLY8JcuXJliIWnnnrqBRdcMHTo0KOOOio0Q5684oorfvGLX1TO/dzmzZvDtk2bNnFYU7y1yaZNm+KwQUX1SiaxHbXvc+aBD636v+N9ITAAkHUKDumRVGxHydK8DsmkJkTC3CZLly4tKysLRefOnWfPnn3TTTeNHj36yiuvvO+++6ZNmxa/hHbChAkhf1ZOT+y1115JVUN+fn5SNc7yeiWTAABo3lrtud8+o37Waq/9kjHbUbI0r0MyqQnxOcyG1fM5zHXr1i1ZsmTDhg3HHHPMHnvskXS/8NBDD8W7XA4dOjTEzlDE/1SHDh3mzp1bOWVr3bt3//jjj0844YTbbrstadWtyOcws9Vnq5PP0wMAZAPZMms1vSV980qYZWVl559/fjKo5rDDDhs9enQyqKH+b/qpR3l5+eGHH75p06YDDzzwiSeeCJ2RI0c+++yzu++++4svvhjnbOWII4745JNPTjrppJtvvjlp1U3CBACAnNb0lvTN6yrZEPlCVqxp6dKlyYxUtWzZMn4g849//GPsFBQUhG09X+QTP6gZL68FAADILc0rYYbI17s2hx12WDIjbfEOmS1atIjDeA/M0tLSkHVjp7oQL7ds2RKKzp07xw4AAEAOaV4JMy8v787a1HOJbP2ee+65cePGXXXVVcm4hpKSzz+P17Fjxzg89NBDY7FkyZJYVFd16WxhYWEsAAAAcojvkt0mTz755AMPPPDwww9v9W2xUYiX7777bijitbJBz549Q8oNxUsvvRQ71S1evDhs8/Pze/XqFTsAAAA5RMLcJieffHIspk6dGovqJkyYELYhUp511lmx0759+x49Pr8N0f33379+/frYjNauXTtz5sxQ9OvXL94VEwAAILdImNukuLj44IMPDsWsWbMmTpxY9enKkB7HjBkzZ86cUA8bNmz//feP/eCSSy4J25AnR4wYsWbNmtgsKSkZPnz4hg0bWrduXeu33QIAAGQ/98NsWP13K/noo4/OOuusP/3pT6EuKCjo0aPHxo0bX3nllfidPSeeeOItt9xSOfFvpk+ffv3114ciPz//yCOPDLn01VdfLSsrC50QU/v37185q2HuVgIAADnN3UrY2t577/3II4+cffbZIS6WlpY+++yz8+fPD/GyQ4cO48aNqxkvg3POOWfSpElhQpgWJi9YsCDEy06dOk2bNq3x8RIAACDbeA8zh3kPEwAAcpr3MAEAAKB2EiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIR4uKioqkpJr169c/+uijixYt+uCDD8Iu2nfffQ888MDTTz+9Q4cOyYwaHn/88Tlz5oT5oS4sLCwuLu7Xr198qFaZzq+pqKho+fLlyQAAAMg1TW9JL2HW4oknnrj22mtLS0uT8Rfy8/Mvv/zyIUOGJOMvrFu3bsSIEa+//noy/kK3bt1uv/329u3bJ+MvZDq/LhImpOv993cqLExqcogDB0DuanpLelfJbu2ZZ5655JJLQrzcddddL7jggimVLrroot13333Lli0/+tGPHnjggWRqpfLy8vPOOy/GxRA+77jjjsmTJw8cODAMFy5cOGrUqMpZf5PpfODrFvJJnz47tWixU6dOn/8K9bhxyUNks3nzHLicVHXg4rEbNsyByw3hMG114MKhBKhFBdWEDNmrV68DDzywd+/eq1evTrqV/vKXv5xwwgnhoS5duoQ66VZU3H333aEZPP3000mr0vTp02N/1qxZSatSpvPrESYnFfBVXXddRfhBWPNXYWHFihXJHLJQXQdu6FAHLnuFQ9O799aHLP4KB5SsVdeBCz8nHTjYdk1vSe89zC957rnnQrAMxdixY/fcc8/YjHbbbbcrrrgiFKWlpc8//3xsBjNmzAjbkEv79u0bO9GQIUO6desWihAdYyfKdD7w9Rk2bKfx45N6K/GNTbJTODR1Hbh77/38sJKd6nnXKxxQBy5r1XXgws9JBw6oScL8kpdeeikWJ510UiyqO+aYY2Lx6quvxmLRokWrVq0KxYABA2KnukGDBoXtW2+99d5778VOpvOBr09YMIU0Uo+weHLxXhYKB67+a/PCow5cFgovt/oPXJhQ/0uSHSK8mho8cPVPAJobCfNLBg8efNddd918882tWrVKWtV88sknsWjTpk0sli5dGouuXbvGorouXbrEYtmyZbHIdD7w9WnM5QIuKchCjXnDxIHLQnW97VydA5eFGnPgGjMHaD4kzC/p2LHjcccdV+sbmMHTTz8di6p8GKNgXl5erXcxKfziyw0XLlwYi0znA1+fxvyj+/vv+7f5rBMOSoPCnMZMY3tq5IEjqzTyiDhwQHUSZmNt3LjxrrvuCsUuu+zS54uPZ8U7muy8885xuJWWLVu2bds2FOH3xk6m8xtUVK9kElAbS6Jc1PjA7/hmlUYeuHDU/JtOVmn8gfOKg3okS/M6JJOaEAmzsS677LL4EcqLLrqo6irZzZs3h23VsKZ4te2mTZviMNP5DVper2QSsA3caDGrNP5wOHBZxYHLUQ4cpCJZmtchmdSESJiNcs011/z2t78NxT/8wz8MHjw4NqvstddeSVVDfn5+UlWT6Xzg69C7d1LUz7Ipq4TD4cDlIkElRzXycAwdmhQAgYTZgLKysrFjx86aNSvU3bt3nzRpUuxXt379+qRqnEznA1+Hc85JinpYNmWh445Lino4cFmoMQfluuuSgizRyH/T6dgxKQCC5pUwQ1wcUZvbbrstmfFlGzZsOPfcc5966qlQ9+rV66677trqAteWLT/fgfHa11p9+umnYZuXlxeHmc4Hvj5h2dTgysl6NwuFoFL/gQtr4nvuSWqyR3g11f+GWHjUbWayUIOvpvB6dOCA6ppXwiwvL59Xm6qbiFRXUlJy5plnzp8/P9QDBgyYOnVqzc9PFhQUhG09X8wTw2S7du3iMNP5wNcn5pB6lrxz5zawIGaHqP/AxUfJQuHQ1POacuCyVv2HJjzqX+KArTSvhNmyZcvetTnssMOSGV945ZVXzjjjjBUrVoT6oosuuuGGG+Lbj1uJNx0pLS0N2TV2qgtxccuWLaHo3Llz7GQ6H/haxSVvzeVR7947hVd/g+9wsqM4cDmqrgM3dKgDl9XqOkDhUDpwQE0tKioqkpIvvPjii+eff37IgW3btp0wYcIpp5ySPFDD7Nmzx4wZE4pf/vKXhx9+eGxWmTt37ve+971QTJkyJd7gJNP59SsqKmqSXz8F21/8nv158z5fAVst5ZB4j4Twy4HLLQ5cjnLg4OvQ9Jb0zes9zMYIB3j06NEhXrZv3/6ee+6pJ14GPXv2jJ+ZfOmll2KnusWLF4dtfn5+r169YifT+cD2EVZL4VeDH/Aj28RlrgOXcxy4HOXAAY0hYX7J5s2bR40a9cknn7Ru3XratGlHHHFE8kAdQgrt0aNHKO6///6tviF27dq1M2fODEW/fv3iXS6DTOcDAADkEFfJfsntt99+8803h6Jnz56nnnpqbNZUWFh45JFHxvoPf/jDgAEDQvGtb33rtttu23PPPUNdUlIyevToN998MyTVJ598smO1r/HOdH49XCULAAA5rekt6SXMLzn22GNXr16dDOp2xhln/PCHP0wGO+00ffr066+/PhT5+fkheZaXl7/66qtlZWWhM3HixP79+1fO+ptM59dFwgQAgJzmc5hNWWlpaWPiZU3nnHPOpEmTOnTosGXLlvnz5y9YsCDExU6dOk2bNq3WuJjpfAAAgJzgPcwc5j1MAADIad7DBAAAgNpJmAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDDZVkVFRUnFF+yTmuyTmuyTmuyTmuyTrdghNdknNdknNdknNdknXxMJEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHS0qKioSEpyTVFRUVIBAAC5afny5UnVJEiYAAAApMNVsgAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdEiYAAADpkDABAABIh4QJAABAOiRMAAAA0iFhAgAAkA4JEwAAgHRImAAAAKRDwgQAACAdLSoqKpIS6lVSUvLyyy8ngxpatGgxaNCgZFDN448/PmfOnA8++CDUhYWFxcXF/fr1iw81Sc3t+UbOjWj9+vUDBw7s2rXrjTfemLRqk+kTz+kd1eA+aSYnT9gPjz766KJFi8KfOfy1u++++x544IGnn356hw4dkhk1NPnzJKN90kzOk7Vr186aNWvZsmXvvPPO3nvvHfbJgAEDjjrqqOTh2jTt8ySjHdI8/yaaO3fuL3/5yzZt2txyyy1Jq4amfZLUVP8+sWLZPiRMGiu8UCdPnpwMamjduvXSpUuTQaV169aNGDHi9ddfT8Zf6Nat2+23396+fftk3FQ0t+dbnXMjCk9q3rx5vXv3vvPOO5PWl2X6xJvAjmpwnzSHk+eJJ5649tprS0tLk/EX8vPzL7/88iFDhiTjLzSH8yTTfdIczpNnnnnmsssu++STT5LxF8Ja9oYbbtj2455z+yTTHdIM/yYKCTzknI8//rhdu3avvfZa0q2myZ8kNTW4T6xYtg8Jk8a68MILn3766bxKSauaVq1aVX8ll5eXn3766cuWLQt1WCv06NEjdObMmfPII4+EzlFHHXXfffdVTmwimtvz3YpzIwjL4sceeywUdaWpTJ94E9hRDe6ToMmfPGGVPGrUqFDsuuuugwcPPuSQQ0L95ptvhj/qX/7yl1CPGzfurLPO+nxqpUyfY3PYJ0GTP08WLFhw9tlnh2KPPfY477zz9t9//88++yw85V//+tehue3HPef2SaY7JGiGfxMNHz78hRdeCEWtaSrT59gc9klgxbKdhIQJjfHtb3/7wAMPvPrqq5Nxve6+++4wOQgv46RVafr06bE/a9aspNUkNLfnu5Vmfm58/PHH5557bvzDB//2b/+WPPBlmT7xnN5RjdwnQdM+ebZs2dKrV6/wBwsZe/Xq1Um3UohSJ5xwQnioS5cuoU66zeA8+Qr7JGjyP2ROPPHE8AcL69et9snkyZPjn/mJJ55IWpWa/HmS6Q4JmtvfRCHbxD9qcPjhhyfdapr8SVJTg/sksJrdPnzTD42yefPmDz/8MBTdu3ePnfrNmDEjbMMyom/fvrETDRkypFu3bqEIL87YaRqa2/OtrpmfG7Nnz+7fv3/Vv5jGZq0yfeK5u6Mav0+a/Mnz3HPPhfVxKMaOHbvnnnvGZrTbbrtdccUVoSgtLX3++edjM2jy58lX2CdN/jx5+eWXV6xYEYrRo0dvtU++973vtW3bNhTPPvts7ERN+zz5Cjukuf1N9N57791www2hOOCAA2KnpqZ9ktTUmH1iNbvdSJg0yvz582NRz+u2yqJFi1atWhWKAQMGxE518SPUb731VvhZEDu5rrk9360053Nj2LBhY8aMCcvlgoKCH//4x/Hvm1pl+sRzd0c1fp8ETf7keemll2Jx0kknxaK6Y445JhavvvpqLJrDeZLpPgma/HlSVlZ2wgkn7LHHHjX3ScuWLb/5zW+GovrHEZv8eZLpDgma1d9E5eXl4cfsp59+eu655x522GFJ98ua/Emylcbsk8BqdruRMGmUlStXhm1+fn5RUVHs1KPqQ9Jdu3aNRXVdunSJRbyuvQlobs93K8353HjnnXfCtri4+De/+c13v/vd2KxVpk88d3dU4/dJ0ORPnsGDB991110333xzq1atklY1VUvkNm3axKI5nCeZ7pOgyZ8nPXv2vO222373u9/ttttuSesLYd385z//ORTVd0iTP08y3SFBs/qb6MYbbwzBpnPnzpdccknSqqHJnyRbacw+CaxmtxsJk0aJX6IVXk6bNm2aOXPm2LFjR4wYEbZTp05dt25dnFMlvtjy8vJq/dL5wsLCWCxcuDAWua65Pd+tNOdzo0+fPg8++OAdd9xRzz0nokyfeO7uqMbvk6DJnzwdO3Y87rjjan2zLnj66adjUbV8aQ7nSab7JGjOP2Tuueee8KxDUf3WCM3hPKlLrTskaD4nyYIFC+6+++6QkSZNmhSeQtKtoVmdJI3cJ4HV7HYjYdIob7/9dtiuXbs2rAzGjx//1FNPzZs3L2wnTpxYXFz86KOPxmlR/AL6nXfeOQ630rJly/ghio0bN8ZOrmtuz3crzfnc+MEPfhD+okoG9cr0iefujmr8Pgma88kT/px33XVXKHbZZZcQy2Oz+Zwntap1nwTN8DwpKyt7+eWXx4wZ85Of/CQMBwwYUP1jYM3wPKl/hwTN5CTZsGHDpZdeGooQijp37hybtWo+J0nj90lgNbvdSJg0rLy8PL4mV65cGV5Ip5566gUXXDB06NCjKu96HF6BV1xxxS9+8YvKuZ/bvHlz2G51BUt18eKo+M+QTUBze77VOTcaKdMn3hx2VDM/eS677LL4CZ+LLrqo6kk18/Ok1n3SDM+TG2644eCDDx4yZMjs2bPDcNSoUfH7S6o0t/OkwR3SfE6ScePGffjhh926dRs+fHjSqkPzOUkav0+sWLYnCZOGLV26tKysLBSdO3cOP99vuumm0aNHX3nllffdd9+0adPid0VOmDAhvGIrpyf22muvpKohPz8/qZqQ5vZ8I+dGRjJ94k17RzXnk+eaa6757W9/G4p/+Id/GDx4cGxWaZ7nSV37pBmeJx999FFBpTicMmVKWEPHxW51zec8aXCHNJOT5IknnnjqqafC04lv5DZGkz9JMtonVizbk4RJw/bbb7/wAz28eu+9995QJ91Kxx577FVXXRWKLVu2zJw5Mzaj9evXJ1Xz0Nyeb+TcyEimT7xp76jmefKE9c3YsWNnzZoV6u7du0+aNCn2q2tu50n9+6QZnic33njj4krz5s0bMGBA2D8PPPDA9773veThLzSf86TBHdIcTpI///nP48ePD8W1115b68cCa9W0T5JM90kz/GGyA0mYfC78vB5Rm9tuuy08uttuu/Xp0+e0007bY4894vzqBg4cGK9Ef/HFF2OnZcvPz6ua/+Ba5dNPPw3b+j+NnUOa2/OtzrnRSJk+8eawo5rhybNhw4Zzzz33qaeeCnWvXr3uuuuura6/aobnSYP7pBmeJ1V/tm9+85s33HDDd77znVCHJzi78hrRoLmdJw3ukOZwklx88cV//etfTzzxxAa/oztqDidJpvvEimV7+nzfQXl5+bzaLP3im5rrEV6B8RL2P/7xj7ETL2XZWPdHn+PLNV6Q0AQ0t+fbeM6NKpk+cSdV0zt5SkpKzjzzzHg3tgEDBkydOrXmx3ua23nSmH1Sv+bwQ6bq7gvPPPNMLJrbebKVmjukfk3gJPn5z38e7xD77W9/Ozzr6uJHl8vKyuJwyZIllb+j6Z8kX2Gf1M+KJV0SJp8Lr6vetannrrXVhd8eti1atIjDeK1CaWlpCK6xU114QW7ZsiUUnRv6yq9c0dyeb0aa+blRJdMn7qQKmtLJ88orr5xxxhkrVqwI9UUXXXTDDTfEZ7eVZnWeNHKfNKjJ/5DZe++940r3f/7nf2KnWZ0nNdXcIQ3K9ZPkrbfeisXVV1896ssWLFgQ+ps2bYrDqVOnxplN/iT5CvukQU3+h8n29FV+mtP05OXl3Vmb0aNHh0efe+65cePGxSvUa1VSUhK2HTt2jMNDDz00FrX+u1HV5QdVtxLKdc3t+Vbn3GikTJ94c9hRzefkCX+288477+OPP27btu2kSZNGjhyZPFBD8zlPGr9PmsN58qtf/eryyy+/5pprknEdqr5WpMmfJ5nuEH8T1dTkT5KvwHmyPUmYNOzJJ5984IEHHn744a2+XysKL8h33303FPHqgqBnz57xqvSXXnopdqpbvHhx2Ia/GHr16hU7ua65Pd/qnBuNlOkTbw47qpmcPMuXLx89enRpaWn79u3vueeeU045JXmgNs3kPMlonzSH82Tp0qWPPfbYrFmz4tV9W3n//ffDvgrF7rvvHjtN/jzJdIc0+ZPkhhtuCK+aWg0YMCBMaNeuXRzGr88ImvxJ8hX2iRXL9iRh0rCTTz45FrVeaTBhwoSwDS/Cs846K3bCoqFHjx6huP/++7f6Dq61a9fGL+nq169fvI9QE9Dcnm91zo1GyvSJN4cd1RxOns2bN48aNeqTTz5p3br1tGnTjjjiiOSBOjSH8yTTfdIczpOqjD1lypRYVPeTL27DMGjQoFg0+fMk0x3ib6KamvxJ8hU4T7YnCZOGFRcXH3zwwaGYNWvWxIkTq65HD6+3MWPGzJkzJ9TDhg3bf//9Yz+IH8QPr8ARI0asWbMmNktKSoYPH75hw4awsDj//PNjs2lobs+3inOj8TJ94k1+RzWHk+fnP/95+OOF4sgjj3z77bcfqsMrr7wS5wdN/jzJdJ80h/OkZ8+e3bt3D8WvfvWrm2++ufpzvPTSS+Nz7N+//+GHHx77QdM+TzLdIf4mqlXTPkm+AufJ9tSioqIiKaFuH3300VlnnfWnP/0p1AUFBT169Ni4cWNYAcRPOZ944om33HJL5cS/mT59+vXXXx+K/Pz8sJIIr+RXX321rPJet+GFHf5uqJzVdDS351vFuVEl/A00b9683r1733nnnUnryzJ94k1gR9W/T5r8yXPssceuXr06GdTtjDPO+OEPf5gMmvp58hX2SXP4IbNu3brBgwfHi/Tat28f/sx//etfFy1aFJ9jr169br/99q2+aLdpnyeZ7pBm+zfR5Zdf/thjj7Vr1+61115LWtU07ZOkLvXsEyuW7SZv3LhxSQl1+8Y3vnHaaadt3rz5jTfe+PTTT1esWPHBBx+El1mHDh0uvvjiyy67LJlXzbe+9a0DDjhg6dKl//M//xMmh9dzRUVFp06dwgvyhBNOSCY1Ic3t+VZxblR58skn33///cLCwrr+ysn0iTeBHVX/PmnaJ09paelPf/rTZFCvQw45pLi4OBk06fPkq+2T5vBDJix2v/vd74bn+Pvf/z7spfAcV61aFZ7jPvvsM3r06Ouuuy6sbpOpX2jC50mQ6Q5ptn8TPfPMM2+++Wbr1q1HjBiRtKpp2idJXerZJ1Ys2433MMlMWVnZK6+88te//rVly5b/3//3//2///f/kgfqtmzZso8++igU++67b1FRUWw2Yc3t+VZxbjRepk+8ye8oJ0+tnCdbaQ7nSXiOL7/8crwA72s67rm1TzLdIX6Y1KppnyRfgfPk6yZhAgAAkA7f9AMAAEA6JEwAAADSIWECAACQDgkTAACAdEiYAAAApEPCBAAAIB0SJgAAAOmQMAEAAEiHhAkAAEA6JEwAAADSIWECAACQDgkTAACAdEiYAAAApEPCBAAAIB0SJgAAAOmQMAEAAEiHhAkAWWT58uXPPffcRx99lIzT9vzzz4f/fjIAgLRJmACQLf785z//y7/8y8UXX9ymTZuklbb//u///rd/+7dbbrklGQNAqiRMAMgWl1566V//+tcRI0b8n//zf5JW2kaNGrXLLrtMmTJl2bJlSQsA0iNhAkBWeOihhxYuXLjvvvuee+65SetrELLrv/7rv5aVlV111VVJCwDSI2ECwI63cePGiRMnhmLEiBF5eXmx+TUZOnTo7rvv/uabb86cOTNpAUBKJEwA2PHuvvvujz/+eK+99jrjjDOS1temTZs2//zP/xyKyZMnb968OTYBIBUSJgDsYKWlpSFhhuL0009v2XJ7/NUcEmZeXt7atWt/+ctfJi0ASEOLioqKpAQAGrJ+/fp4OWswaNCgww8/PNZVVq1adfvtt8f6kksuacx39sycOXP8+PGh+M///M/9998/NqtMmDDhk08+Cf9H4f/uz3/+889//vN58+Z99NFHrVq16t69++DBg3v27BlnvvPOOyGp/u53v1u3bl379u1D/9xzzz3ooIPio1v513/91//+7//u2LHjf/3XfyUtANhmEiYAZGbSpElTpkwJxX777ffUU09Vv7NIeXn5WWedtXjx4lCPGjXqwgsvjP36nXbaaW+++WZdYS/EyI8//njAgAEnnnji2LFjS0tLkwe+cNlllw0fPvzhhx++9tpry8rKkm6lvLy8W2655fjjj0/G1fzqV7/6/ve/H4r777//yCOPjE0A2EaukgWAzIwZM+bggw8ORUlJyU033RSb0W233RbjZdeuXRsZL99///0QL0NR9VZkrcKcCy64IMTL8F8OxUUXXRSK+NBPf/rTn//85/G7YU866aRQnHfeeSH9hmEInFdeeWWtH7Y8+uijY/H000/HAgC2nfcwASBjIRaedtppmzZtCvUjjzxyyCGHhGLRokX/9E//FIpdd931iSee2HPPPT+f2pCq9xJvvvnmkA9js7r4HmYo8vLyJk6ceMopp8R+ELLu7NmzY7377rtPnz69c+fOcRhSZfjDvPHGG6Gu6798xBFHfPLJJyGLPvPMM0kLALaN9zABIGOFhYWXX355rC+99NLy8vL//d//HTt2bOxcf/31jYyXwcKFC2NxwAEHxKIu//Iv/1I9XgbnnHNOUu20U4ipVfEyaNOmTdV9NZcsWRKLrcS3MUtKSjZu3Bg7ALCNJEwA+Cr++Z//uXfv3qF49913p0yZ8h//8R+rVq0KwyFDhhQXF1dOaZT33nsvbPPy8hpMmAMGDEiqL3Tp0iUWrVu37tu3b6yr7LrrrrH461//GoutVH0LUVXKBYBtJGECwFc0YcKE3XffPRS33XbbY489Foq/+7u/u+KKKyofbKwQUMO2bdu29d+nJETQmt8KG5qx6Ny5c83f3uCNT6q+t7auCAoAmZIwAeAr2m233X74wx+GIn6Da0FBwc0331yV+hopfpgz/N44rEvr1q3rSYyNvyi3uj322CMWtX4VEAB8BRImAHx1xcXFHTt2jHXnzp0LCwtj3UhVNxf5v//3/8aiLg2+IfkVVP03165dGwsA2EYSJgB8dXfeeefKlStj/frrr99xxx2xbqQWLVrEIn6Gc0eJ1/oCwLaTMAHgK/rDH/5w8803h2KvSqG49dZbQ7PywUZp2bJlfn5+KOK1stvZZ599Fos2bdrEAgC2kYQJAF/F5s2b//3f/z1e5nr99ddXfSAzNDP6WGOMpjvkfiG///3vY9GuXbtYAMA2kjAB4Ku44YYbVqxYEYqBAwcee+yxxx13XLybSGjeeOONlVMa5ZBDDgnbLVu2bP8PQ3788cexaPBGKQDQSBImAGTs+eefv//++0Oxzz77XH311bEZiviBxvvuuy9MiM0GHXjggbFYunRpLLabeEFvQUFB1ZcVAcA2kjABIDPr1q27/PLLY/3DH/7wG9/4Rqzbt28/bty4WIcJ69evj3X9jj766FgsW7YsFtvH//7v/8bvKCouLo4dANh2EiYAZOaaa675y1/+Eop4fWxsRn379j311FNDESaEabFZv27duoVoGor58+fHzvbxwgsvxGKrpwAA20LCBIAMPPTQQ3PmzAlF9etjq/v+978fr5X97W9/+/DDD8dmPVq2bHnaaaeF4rXXXmvk256piM+idevWp5xySuwAwLZrUVFRkZQAwI7w3nvvnXzyyaEYN27cWWedFZtfq7Kysq5du5aWlob/u6orewFg23kPEwB2sP333//b3/52KB588MHY+br9+te/DvEyFEOHDo0dAEiFhAkAO96FF14Ytm+88caiRYti52t13333he13vvOdwsLC2AGAVEiYALDjHXbYYSeddFIopkyZEjtfn1deeWXZsmWtW7f+93//96QFACmRMAEgK1x11VXt2rWbN29evE3l12fixIlhO3LkyA4dOsQOAKRFwgSArLD33nuHkBmK//iP/4idr8Ozzz67aNGiAw888Hvf+17SAoD0SJgAkC1OP/30c889d7fddnv77beTVtpefvnlE0444dZbb23Z0hoAgPS5WwkAAADp8O+XAAAApEPCBAAAIB0SJgAAAOmQMAEAAEiHhAkAAEA6JEwAAADSIWECAACQDgkTAACANOy00/8Psow8KyjsgLcAAAAASUVORK5CYII=\" alt=\"dewatering scheme\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin)\r\n% tf = true if well system achieves minimum drawdown everywhere, false otherwise\r\n% smin1 = min drawdown achieved\r\n% xmin, ymin = coordinates of the minimum drawdown\r\n% xw, yw = coordinates of the wells\r\n% Q0 = common pumping rate OR vector of pumping rates\r\n% R = radius of influence\r\n% Lx = length of construction area\r\n% Ly = width of construction area\r\n% K = hydraulic conductivity\r\n% H = initial elevation of the water table\r\n% smin = minimum drawdown required\r\n\r\n h = sqrt(H^2-Q*Lx/K*Ly);\r\n tf = all(H-h\u003csmin);\r\n [smin1,[xmin ymin]] = max(H-h);","test_suite":"%% Prep assignment--modified\r\nxw = -50; % x-coordinates of the wells (m)\r\nyw = 0; % y-coordinates of the wells (m)\r\nQ0 = 661.6; % Pumping rates (m3/d)\r\nR = 450; % Radius of influence (m)\r\nLx = 250; % Length of construction area (m)\r\nLy = 100; % Width of construction area (m)\r\nK = 0.1; % Hydraulic conductivity (m/d)\r\nH = 85; % Initial saturated thickness (m)\r\nsmin = 5; % Minimum drawdown (m)\r\ntf = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nassert(tf)\r\n\r\n%% Fall 2020, exam 2, problem 4a\r\nxw = [0 200 400]; % x-coordinates of the wells (m)\r\nyw = [-125 125 -125]; % y-coordinates of the wells (m)\r\nQ0 = 1331.2; % Pumping rates (m3/d)\r\nR = 750; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 200; % Width of construction area (m)\r\nK = 3; % Hydraulic conductivity (m/d)\r\nH = 45; % Initial saturated thickness (m)\r\nsmin = 5; % Minimum drawdown (m)\r\ntf = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nassert(tf)\r\n\r\n%% Fall 2020, exam 2, problem 4c--with pumping rate from part a\r\nxw = [0 200 400 1000]; % x-coordinates of the wells (m)\r\nyw = [-125 125 -125 -125]; % y-coordinates of the wells (m)\r\nQ0 = 1331.2*[1 1 1 -1]; % Pumping rates (m3/d)\r\nR = 750; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 200; % Width of construction area (m)\r\nK = 3; % Hydraulic conductivity (m/d)\r\nH = 45; % Initial saturated thickness (m)\r\nsmin = 5; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 100;\r\nsmin1_correct = 4.723;\r\nassert(~tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% Fall 2020, exam 2, problem 4c--with higher pumping rate\r\nxw = [0 200 400 1000]; % x-coordinates of the wells (m)\r\nyw = [-125 125 -125 -125]; % y-coordinates of the wells (m)\r\nQ0 = 1410*[1 1 1 -1]; % Pumping rates (m3/d)\r\nR = 750; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 200; % Width of construction area (m)\r\nK = 3; % Hydraulic conductivity (m/d)\r\nH = 45; % Initial saturated thickness (m)\r\nsmin = 5; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 100;\r\nsmin1_correct = 5.02;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% Fall 2022, exam 2, problem 2\r\nxw = [100 100 700 700]; % x-coordinates of the wells (m)\r\nyw = [-200 200 -200 200]; % y-coordinates of the wells (m)\r\nQ0 = 944*[1 1 -1 -1]; % Pumping rates (m3/d)\r\nR = 650; % Radius of influence (m)\r\nLx = 200; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 2; % Hydraulic conductivity (m/d)\r\nH = 35; % Initial saturated thickness (m)\r\nsmin = 4; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 200;\r\nymin_correct = 0;\r\nsmin1_correct = 4.001;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 135 450 210]; % x-coordinates of the wells (m)\r\nyw = [-80 200 135 -200]; % y-coordinates of the wells (m)\r\nQ0 = 640; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = -150;\r\nsmin1_correct = 6;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 135 450 210]; % x-coordinates of the wells (m)\r\nyw = [-80 200 -50 -200]; % y-coordinates of the wells (m)\r\nQ0 = 638; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 150;\r\nsmin1_correct = 6;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 -50 100 200 300 450 450 100 200 300]; % x-coordinates of the wells (m)\r\nyw = [-75 75 200 200 200 -75 75 -200 -200 -200]; % y-coordinates of the wells (m)\r\nQ0 = 200; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 5.5;\r\nassert(~tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3 \u0026\u0026 abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 -50 50 200 350 450 450 50 200 350]; % x-coordinates of the wells (m)\r\nyw = [-75 75 200 200 200 -75 75 -200 -200 -200]; % y-coordinates of the wells (m)\r\nQ0 = 200; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 5.62;\r\nassert(~tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3 \u0026\u0026 abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw = [-50 -50 0 200 400 450 450 0 200 400]; % x-coordinates of the wells (m)\r\nyw = [-75 75 200 200 200 -75 75 -200 -200 -200]; % y-coordinates of the wells (m)\r\nQ0 = 200; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 82.4;\r\nymin_correct = 150;\r\nsmin1_correct = 5.66;\r\nassert(~tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-2 || abs(Lx-xmin-xmin_correct)/xmin_correct\u003c1e-2)\r\nassert(abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxL = 80:80:320;\r\nyL = 200*ones(1,4);\r\nxw = [-50 -50 xL 450 450 xL]; % x-coordinates of the wells (m)\r\nyw = [-75 75 yL -75 75 -yL]; % y-coordinates of the wells (m)\r\nQ0 = 200; % Pumping rates (m3/d)\r\nR = 910; % Radius of influence (m)\r\nLx = 400; % Length of construction area (m)\r\nLy = 300; % Width of construction area (m)\r\nK = 0.8; % Hydraulic conductivity (m/d)\r\nH = 90; % Initial saturated thickness (m)\r\nsmin = 6; % Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 6.65;\r\nassert(tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3)\r\nassert(abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-16T05:19:15.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-16T05:10:49.000Z","updated_at":"2026-02-12T14:57:15.000Z","published_at":"2023-10-16T05:19:15.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn addition to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/57452\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esupplying water\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59104\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecapturing contaminants\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at least a value \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"smin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{min}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hmax = H - smin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_{max} = H – s_{min}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h = sqrt(H^2 - (1/(pi K) sum(Qj ln(R/rj))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh = \\\\sqrt{H^2-\\\\frac{1}{\\\\pi K} \\\\sum_{j=1}^N Q_j \\\\ln\\\\left(\\\\frac{R}{r_j}\\\\right)}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hydraulic conductivity, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Qj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the pumping rate of the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"j\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth well, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radius of influence, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the distance from the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"j\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth well to the point in question. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"471\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"614\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"dewatering scheme\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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the hydraulic conductivity with a falling-head permeameter","description":"A falling-head permeameter is another device for measuring the hydraulic conductivity of a soil sample. In this problem the sample is placed in a cylinder of length and cross-sectional area . Unlike the constant-head permeameter, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area ) that falls. In other words, the head difference , or the difference between the water levels in the tube and the outlet, decreases in time. \r\nThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\r\n\r\nDarcy’s law applies when a Reynolds number based on the specific discharge and representative diameter of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere is the kinematic viscosity of the fluid.\r\nDerive and solve an ordinary differential equation for the head difference . Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the previous problem. Use and .\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 902px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 451px; transform-origin: 407px 451px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 272.5px 8px; transform-origin: 272.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 103px 8px; transform-origin: 103px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82px 8px; transform-origin: 82px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_c\" style=\"width: 16.5px; height: 20px;\" width=\"16.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37px 8px; transform-origin: 37px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Unlike the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003econstant-head permeameter\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.5px 8px; transform-origin: 11.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_t\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147px 8px; transform-origin: 147px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) that falls. In other words, the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145px 8px; transform-origin: 145px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378px 8px; transform-origin: 378px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 246px 8px; transform-origin: 246px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93px 8px; transform-origin: 93px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116px 8px; transform-origin: 116px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 73.5px; text-align: left; transform-origin: 384px 73.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 231.5px 8px; transform-origin: 231.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDerive and solve an ordinary differential equation for the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132px 8px; transform-origin: 132px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eprevious problem\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 981 cm/s^2\" style=\"width: 90.5px; height: 19.5px;\" width=\"90.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"nu = 10^{-2} cm^2/s\" style=\"width: 94px; height: 19.5px;\" width=\"94\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 359px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 179.5px; text-align: left; transform-origin: 384px 179.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: middle;width: 401px;height: 359px\" 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alt=\"falling-head permeameter\" data-image-state=\"image-loaded\" width=\"401\" height=\"359\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n)\r\n K = f(delta,t,L,Dc,Dt);\r\n isDLvalid = (Re \u003c 1);\r\nend","test_suite":"%%\r\nDc = 11.28; % Diameter of cylinder holding sample (cm)\r\nDt = 2.26; % Diameter of tube (cm)\r\nL = 10; % Sample length (cm)\r\nn = 0.15; % Porosity\r\nt = [0 1 2 5 10 15 20 25]*86400; % Time (sec)\r\ndelta = [5 4.6 4.4 3.4 3.1 1.8 1.4 0.9]; % Head difference (cm)\r\nK_correct = 3.08e-7;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 8; % Diameter of cylinder holding sample (cm)\r\nDt = 2; % Diameter of tube (cm)\r\nL = 15; % Sample length (cm)\r\nn = 0.25; % Porosity\r\nt = 0:60:420; % Time (sec)\r\ndelta = [25 20.63 17.03 14.05 11.60 9.57 7.9 6.52]; % Head difference (cm)\r\nK_correct = 3e-3;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 7.5; % Diameter of cylinder holding sample (cm)\r\nDt = 1.75; % Diameter of tube (cm)\r\nL = 7.6; % Sample length (cm)\r\nn = 0.2; % Porosity\r\nt = [0 1.25 2.36 3.74 5.40 7.20 9.28 12.08]; % Time (sec)\r\ndelta = 88.9:-10:18.9; % Head difference (cm)\r\nK_correct = 5.25e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6; % Diameter of cylinder holding sample (cm)\r\nDt = 1.5; % Diameter of tube (cm)\r\nL = 7.5; % Sample length (cm)\r\nn = 0.2; % Porosity\r\nt = [0 1.06 2.11 3.62 4.88 6.53 8.39 10.67 13.52 17.37]; % Time (sec)\r\ndelta = [56.02 50.36 44.7 39.05 33.39 27.73 22.07 16.41 10.75 5.09]; % Head difference (cm)\r\nK_correct = 3.89e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6; % Diameter of cylinder holding sample (cm)\r\nDt = 1.5; % Diameter of tube (cm)\r\nL = 7.5; % Sample length (cm)\r\nn = 0.2; % Porosity\r\nt = [0 2.28 5.13 8.98]; % Time (sec)\r\ndelta = [22.07 16.41 10.75 5.09]; % Head difference (cm)\r\nK_correct = 4.79e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 8; % Diameter of cylinder holding sample (cm)\r\nDt = 2.5; % Diameter of tube (cm)\r\nL = 15; % Sample length (cm)\r\nn = 0.18; % Porosity\r\nt = 0:7200:50400; % Time (sec)\r\ndelta = [50 43.15 37.23 32.13 27.72 23.92 20.64 17.81]; % Head difference (cm)\r\nK_correct = 2.99e-5;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2022-10-01T17:35:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-01T17:35:38.000Z","updated_at":"2026-02-10T14:28:46.000Z","published_at":"2022-10-01T17:35:57.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Unlike the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003econstant-head permeameter\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_t\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) that falls. In other words, the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDerive and solve an ordinary differential equation for the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eprevious problem\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Use \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 981 cm/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 981\\\\rm\\\\,cm/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-2} cm^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 10^{-2}\\\\rm\\\\,cm^2/s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"359\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"401\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"falling-head permeameter\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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