ABSTRACT
In this contribution, an efficient numerical method for solving convection-diffusion problems with adsorption is introduced. The problem considered here comes out from dual-well tests used for soil parameters identification. We use a general twodimensional mathematical model which includes contaminant transport, mechanical dispersion and molecular diffusion and adsorption in both equilibrium and non-equilibrium modes. First, the original half-plane domain is transformed to a rectangle using an orthogonal transformation. The method of solution is based on time stepping and operator splitting approach. The transport part is ID due to the transformation and its solution can be found in an analytical form. The dispersion part is solved using finite volume method. For the system of ODE’s representing adsorption we derive an implicit scheme.
