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

Isabelle Gruais (1) , Dan Polisevski (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Inst. Math. "S.Stoilow", Bucharest

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.

Mots clés: fractured porous media; Stokes flow; Beavers-Joseph interface; homogenization; two-scale convergence

Domaines: Physique mathématique [math-ph]

Isabelle Gruais, Dan Polisevski. Homogenization of fluid-porous interface coupling in a biconnected fractured media. Applicable Analysis, 2015, 94 (8), pp.1736-1747. ⟨10.1080/00036811.2014.952292⟩. ⟨hal-00990929⟩