An important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations.
For example, suppose a confined aquifer initially has no flow. In that case, the piezometric head h, or the level to which water would rise in an observation well, would be a uniform value 
. A well turned on and pumped at a rate 
will create a cone of depression; that is, it will draw down the piezometric head to a level 
, where r is the radial distance from the well. Applying conservation of mass and Darcy’s law to this situation leads to a diffusion equation whose solution for the drawdown 
as a function of distance r and time t is
. A well turned on and pumped at a rate will create a cone of depression; that is, it will draw down the piezometric head to a level , where r is the radial distance from the well. Applying conservation of mass and Darcy’s law to this situation leads to a diffusion equation whose solution for the drawdown as a function of distance r and time t is
where T is the transmissivity, S is the storativity, and
Write a function that achieves the objective of a pumping test: to determine the transmissivity and storativity from measurements of drawdown in time.
Solution Stats
Problem Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers6
Suggested Problems
-
Find the largest value in the 3D matrix
1689 Solvers
-
Volume difference between Ellipsoid and Sphere
137 Solvers
-
Coin Tossing: Probability of Same Heads for N tosses
58 Solvers
-
Find the definite integral of various linear functions
62 Solvers
-
Triangular matrices in 3D array
180 Solvers
More from this Author329
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
