Mathematical Modeling of Subsurface Seepage Flow in 2-Dimensional Anisotropic Porous Medium

Abstract

Prediction of water table fluctuation using mathematical models is an emerging technology. An analytical solution to predict the dynamic behavior of water table fluctuation in an anisotropic unconfined aquifer is presented in this paper. The aquifer overlying on leaky base is subjected to artificial recharge from top and withdrawal from wells. In 2-Dimensional aquifer number of basins and well is been considered. Two cases based on different hydrological systems is been analyzed. In the first case aquifer considered is having two side no-flow conditions and in the second case aquifer is isolated, having all four boundaries impervious. The seepage flow is approximated by non-linear partial differential equation called Boussinesq equation and is solved by finite Fourier transforms. The application of closed-form solution is demonstrated using an illustrative example. Effect of aquifer parameters on the formation of groundwater mound and cone of depression due to recharge and withdrawal are discussed. Effect of permeability of aquifer base is also observed.