Analytical modeling of solute transport in homogeneous porous media with Cauchy type boundary condition

Abstract

Analytical solution is obtained to describe the nature of concentration of solute, transported in saturated porous media. The aquifer is assumed to be homogeneous and finite in nature in which groundwater flow is considered unsteady. Initially the aquifer is not supposed to be solute free which means that aquifer is not clean i.e. some initial background concentration exists in the aquifer system which is represented by uniform source of concentration. A Cauchy type input source concentration is considered in the intermediate portion of aquifer system. At the other end, the concentration gradient is supposed to be zero. Two types of temporally dependent velocities are considered. Laplace Transform Technique (LTT) is used to determine the analytical solution. The results are perhaps most useful for benchmarking numerical codes and solutions. It may also be used as a predictive tool of groundwater resource management.