Analytical solution of one dimensional temporally dependent advectiondispersion equation in homogeneous porous media

Abstract

In present paper, advection-dispersion equation is considered one dimensional longitudinal semi-infinite domain. The solute dispersion parameter is considered temporally dependent and flow velocity is considered uniform. Nature of pollutant and porous medium are considered chemically non-reactive. The first order decay term which is inversely proportional to the dispersion coefficient is also considered. Initially the porous domain is considered solute free. Analytical solutions are obtained by using Laplace transform technique for continuous uniform and increasing input source concentration.

Keywords: Advection; dispersion; first order decay; groundwater; pollutant.