1 p.m. - 2 p.m. Location: SLC 2.302
Fabrício Simeoni de Sousa
Department of Applied Mathematics and Statistics
University of Sao Paulo at Sao Carlos, Brazil
The multiscale Robin coupled method for flows in porous media
A multiscale mixed method aiming at the accurate approximation of velocity and pressure fields in heterogeneous porous media is proposed. The procedure is based on a new domain decomposition method in which the local problems are subject to Robin-type boundary condition. The domain decomposition procedure is defined in terms of two independent spaces on the skeleton of the decomposition, corresponding to interface pressures and fluxes, that can be chosen with great flexibility to accommodate local features of the underlying permeability fields. Then a multiscale formulation of the new domain decomposition method is proposed, its analysis is presented and the relation with existing multiscale mixed methods [MMMFEM, MHM] is discussed. Numerical simulations are presented aiming at illustrating several features of the new method, which indicate that it has the potential to produce more accurate predictions of pressure and fluxes in the presence of realistic permeability fields such as those from petroleum reservoirs.