Transport of adsorptive pollutant of temporally dependent moving source through groundwater

Abstract

In the present work analytical solution of advection-dispersion equation (ADE) with adsorption is obtained with temporal dependence of dispersion coefficient with uniform velocity. The input source is considered as continuous linearly moving point source of pollution in one-dimensional semi-infinite domain. The time-dependent position coordinate describes the moving source. The governing equations, which include the ADE, are free from the temporal functions by introducing position and time variables as coordinate transformations that reduce the moving source to a stationary source at the origin.Then the Laplace Integral Transformation Technique (LITT) is used to get the solution. The existing solution and the current solution are near to one another and show a similar concentration distribution pattern. The analytical and numerical solutions are found to be in good agreement.