Two-dimensional solute transport for periodic flow in isotropic porous media: an analytical solution

In this article, a mathematical model is presented for the dispersion problem in finite porous media in which the flow is two-dimensional, the seepage flow velocity is periodic, and dispersion parameter is proportional to the flow velocity. In addition to these, first-order decay and zero-order production parameters have also been considered directly proportional to the velocity. Retardation factor is taken into account in the present problem. First-type boundary condition of periodic nature is considered at the extreme end of the boundary. Mixed-type boundary condition is assumed at the origin of the domain. A classical mathematical substitution transforms the original advectiondispersion equation into diffusion equation in terms of other dependent and independent variables, with constant coefficients. Laplace transform technique is used to obtain the analytical solution. Copyright (C) 2011 John Wiley & Sons, Ltd.