Analytical Solution for Solute Transport Influenced by Spatially Dependent Dispersion Along Spatiotemporally Dependent Porous Media Flow

Abstract

One-dimensional pollutant’s solute transport originating from the instantaneous source and the continuous point source is studied in aquifer through the analytical solutions of the advection–diffusion equation (ADE). Dispersion coefficient is considered spatially dependent, and flow velocity is considered spatially and temporally dependent. The solution is obtained in infinite domain using Green’s Function Method (GFM). To use this method, the variable coefficients of the ADE are reduced into constant coefficients through a pertinently developed coordinate transformation equation. The analytical solutions are validated through previously existing analytical solutions.