Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media

We study the homogenization problem for a convection-diffusion equation in a periodic porous medium in the presence of chemical reaction on the pores surface. Mathematically this model is described in terms of a solution to a system of convection-diffusion equation in the medium and ordinary differential equation defined on the pores surface. These equations are coupled through the boundary condition for the convection-diffusion problem. ∗The research of G.A. and A.M. was partially supported by the GNR MOMAS CNRS-2439 (Modélisation Mathématique et Simulations numériques liées aux problèmes de gestion des déchets nucléaires) (PACEN/CNRS, ANDRA, BRGM, CEA, EDF, IRSN). G. A. is a member of the DEFI project at INRIA Saclay Ile-de-France and is partially supported by the Chair ”Mathematical modelling and numerical simulation, F-EADS Ecole Polytechnique INRIA”.