Homogenization of fluid-porous interface coupling in a biconnected fractured media

The modelization of mass transfer through biconnected fractured porous media is studied by homogenizing the coupling between the Darcyan percolation and the viscous Stokes flow on their interface governed by the Beavers-Joseph law. The case of high transmission coefficients is considered. The asymptotic behaviour is completely described with the help of the solutions of some specific local problems and of a non homogeneous Neumann problem defined by the effective permeability tensor