HR: 1400h
AN: H53E-04 [Abstracts]
TI: Extension of Leakage Theory to Unconfined Aquifer Flow
AU: * Malama, B
EM: bmalama@cgiss.boisestate.edu
AF: Boise State University, CGISS/Dept. of Geoscience
1910 University Brive
Math/Geoscience Bldg., Room 206, Boise, ID 83725, United States
AU: Kuhlman, K L
EM: kuhlman@hwr.arizona.edu
AF: University of Arizona, Dept. of Hydrology & Water Resources
1133 E James E. Rogers Way, Tucson, AZ 85721, United States
AU: Barrash, W
EM: wbarrash@cgiss.boisestate.edu
AF: Boise State University, CGISS/Dept. of Geoscience
1910 University Brive
Math/Geoscience Bldg., Room 206, Boise, ID 83725, United States
AB:
Semi-analytical solutions for the problem of leakage in an unconfined aquifer bounded below by an aquitard of
finite or semi-infinite extent are presented. The homogeneous anisotropic unconfined aquifer of infinite radial
extent is pumped continuously at a constant rate from a well of infinitesimal radius. The aquitard is also
homogeneous, anisotropic and of infinite radial extent. Flow in both the aquifer and the aquitard is allowed to
occur both vertically and horizontally. Exact solutions in the double Laplace-Hankel transform space for drawdown
response in the unconfined aquifer using assumptions for leakage from classical and general leakage theory
are developed. The latter also yields a solution for drawdown response in the underlying aquitard. The inverse
transforms of the solutions are obtained numerically. Theoretical results are presented. They show that leakage
can cause significant departure, at both early- and late-times, from the solution with no leakage. In the classical
leakage theory case, the aquifer drawdown response reaches steady-state at late-time, whereas such a state is
not attained in the general leakage theory case. These results conform to published results for leakage in
confined aquifers.
DE: 1828 Groundwater hydraulics
DE: 1829 Groundwater hydrology
SC: Hydrology [H]
MN: 2007 Joint Assembly