Application des méthodes d'homogénéisation au transport dans les milieux poreux

Abstract

ABSTRACT Homogenization has been widely used in order to provide a micromechanics interpretation of the phenomenological transport laws in porous media. We herein first recall some basic features of the double scale expansion technique in periodic media, successively applied to the derivation of Darcy's law and the modelling of the coupling between advection and diffusion. We then focus on the permeability of a disordered cracked material. Using the concept of equivalent permeability for a flat plane crack, the implementation of a self-consistent homogenization scheme allows to determine a percolation threshold of the crack network.