MATHEMATICAL ANALYSIS OF SOLUTE TRANSPORT EXPONENTIALLY VARIES WITH TIME IN UNSATURATED SOIL MEDIA

Raji J, Ramesh T., Venu Prasad K.K., S.R. Sudheendra

Abstract: The wide range of contamination sources is one of many factors contributing to the complexity of groundwater quality assessment. Contaminants containing different chemicals will pass through different hydrologic zones as they migrate through the soil to the water table. Mathematical analysis is presented for simultaneous dispersion and adsorption of a solute within homogenous and isotropic porous media in steady unidirectional flow fields. The dispersion systems are adsorbing the solute at rates proportional to their concentration and are subject to input concentrations that vary exponentially with time. In this study, the advection-dispersion equation has been solved analytically to evaluate the transport of pollutants which takes into account of distribution coefficient and porosity by considering input concentrations of pollutants. The solution is obtained using Laplace transform, moving coordinates and Duhamel’s theorem is used to get the solution in terms of complementary error function. Mathematical solutions are developed for predicting the concentration of contaminants in adsorbing porous media for prescribed media and fluid parameters

Keywords: dvection, Dispersion, Adsorption, Integral Transforms, Fick’s Law, Moving Coordinates, Duhamel’s Theorem

DOI: https://doi.org/10.15623/ijret.2016.0516070