Homogenization of reaction-diffusion system in poroelastic media Abdelhamid Ainouz University of Sciences and Technology, Dept. of Mathematics, PO Box 32, El-Alia, Bab-Ezzouar Algiers, Algeria e-mail: [email protected] The aim of this talk is to study a microstructure problem modeling the diffusion of solutes in a poro-elastic material considered as a periodic composite medium. The two scale convergence technique is used to determine the macro-model as the period of the medium tends to 0.