THE ANALYSIS OF POLLUTANT MIGRATION THROUGH SOIL WITH LINEAR HEREDITARY TIME-DEPENDENT SORPTION

This paper presents a non-equilibrium sorption dispersion-advection transport model for the analysis of Pollutant migration through soil. The formulation involves a convolution integral of the product of the rate of change of concentration and a time-dependent sorption coefficient, suggesting an integral transformation of the governing equations. This facilitates the primary purpose of this paper, to incorporate a time-dependent solute sorption process into a computationally efficient and accurate semi-analytic Laplace transform method. An application of the non-equilibrium sorption model for backfiguring dispersion-advection equation parameters from experimental data is presented, and the implications of nonequilibrium sorption on the design of landfill liners is explored by means of an illustrative example.