Approximate Analytical Solution of Boussinesq Equation in Homogeneous Medium with Leaky Base

Approximate analytical solutions of Boussinesq equation are widely used for approximation of subsurface seepage flow in confined and unconfined aquifers under varying hydrological conditions. In this paper, we use a 2-dimensional linearized Boussinesq equation to simulate the water table fluctuations in an isotropic aquifer overlying a semi pervious bed under multiple localized recharge and withdrawal. The unconfined aquifer is considered to be in contact with two water bodies of constant water head along opposite cost lines, while the remaining two faces have no flow condition. The mathematical model is solved analytically using finite Fourier sine transform and the application of the results is illustrated with a numerical example. It is observed that the vertical flow through the base of the aquifer is an important factor in the determination of groundwater mound and cone of depression