A Multipoint Flux Approximation Method Based on Harmonic Points (MPFA-H) for the Numerical Solution of the Stokes-Brinkman Equations in Carbonate Petroleum Reservoirs
Palavras-chave:
Heterogeneous and Anisotropic Carbonate Reservoirs, Stokes-Brinkman Model, Finite Volume Method, Monolitical Procedure, SIMPLECResumo
In this work, our main purpose is to present a cell-centered finite volume scheme for the simulation
of fluid flow on carbonate petroleum reservoirs using an unstructured polygonal mesh. The governing equations
are solved using two different aproaches, a monolythical and segregated, the latter employs the SIMPLEC (Semi-
Implicit Method for Pressure Linked Equations-Consistent), where the Stokes Brinkman’s equations are discretized
using a Multipoint Flux Approximation method based on harmonic points (MPFA-H) that can handle highly het-
erogeneous and anisotropic media. Furthermore, to assure the coupling between the variables, a modification of
the Rhie-Chow’s interpolation method given by Zhang et al. [1]. is used. The proposed methods are tested and the
differences between these two approaches are discussed.
