Abstract

Most of the investigators use the coordinate transformation (z - ut) in order to solve the equation for dispersion of a moving fluid in porous media. Further, the boundary conditions C = 0 at z =  and C = C0 at z = –  for t 0 are used, which results in a symmetrical concentration distribution. In this paper, the effect of radioactive tracer has been analyzed for one-dimensional transport of pollutants through the unsaturated porous media and compared with experimental data. In this study, the advection-dispersion equation is solved analytically to evaluate the transport of pollutants which takes into account the decay of radioactive contaminants by considering input concentrations of pollutants that vary with time and depth. The solution is obtained with Laplace transform and moving coordinates to reduce linear partial differential equation to ordinary differential equation and Duhamel’s theorem is used to get the solution in terms of complementary error function and verified with experimental data

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