An Analytical Solution of Transport of Pollutants in Unsaturated Porous Media with and Without Adsorption.

Abstract

Most of the investigators use the coordinate transformation (z - ut) in order to solve the equation for dispersion of a moving fluid in porous media. Further, the boundary conditions C = 0 at z =  and C = C0 at z = –  for t 0 are used, which results in a symmetrical concentration distribution. In this paper, the effect of adsorption has been studied for one-dimensional transport of pollutants through the unsaturated porous media. In this study, the advection-dispersion equation has been solved analytically to evaluate the transport of pollutants which takes into account of dissipation coefficient and porosity by considering input concentrations of pollutants that vary with time and depth. The solution has been obtained using Laplace transform, moving coordinates and Duhamel’s theorem is used to get the solution in terms of complementary error function.