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.
If 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.
) 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. Write 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.
*Recall that specific discharge v is flow per area over which the flow is occurring. Then flow per unit width is 
, where b is the thickness of the confined aquifer.
, where b is the thickness of the confined aquifer. 
Solution Stats
Problem Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers5
Suggested Problems
-
Back to basics 23 - Triangular matrix
1137 Solvers
-
Given a matrix, swap the 2nd & 3rd columns
1274 Solvers
-
619 Solvers
-
construct matrix with identical rows
209 Solvers
-
What is Sum Of all elements of Matrix
447 Solvers
More from this Author326
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
