SAMIER , P

We investigate the discretization of Darcy flow through fractured porous media on general meshes. We consider a hybrid dimensional model, invoking a complex network of planar fractures. The model accounts for matrix-fracture interactions and fractures acting either as drains or as barriers, i.e. we have to deal with pressure discontinuities at...

In our work, we extend the monophasic model proposed in [17], [10] to diphasic flow. We thus provide a model for two phase Darcy flow through fracture networks in porous media, in which the $d-1$ dimensional flow in the fractures is coupled with the $d$ dimensional flow in the matrix, leading to the so called hybrid dimensional Darcy flow...

This paper introduces a vertex centred discretization on general 3D meshes of multiphase Darcy flows in heterogeneous anisotropic porous media. The model accounts for the coupling of the mass balance of each component with the pore volume conservation and the thermodynamical equilibrium. The conservative spatial discretization of the Darcy...