Simulação numérica do escoamento bifásico em meios porosos heterogêneos empregando uma formulação semi-implícita, imitadores de fluxo e o método dos volumes finitos / Numerical simulation of two-phase flow in heterogeneous porous media applying a semi-implicit formulation, flux limiter and finite volume method

AUTOR(ES)
DATA DE PUBLICAÇÃO

2009

RESUMO

A new numerical method is proposed for the solution of two-phase flow problem in petroleum reservoirs. The two-phase (water and oil) flow problem is governed by a pressure-velocity equation coupled to a saturation equation. For computational eficiency an operator spliting technique is used; distinct time steps can be used for the computation of transport and pressure-velocity problems. The finite volume method is used in the numerical solution of the velocity-pressure and mass transport problems. A flux limiter is used for the numerical discretization of the advective terms while centered schemes are employed for the diffusion terms in the mass transport problem. In the validation of our numerical method we compared numerical and theoretical solutions for one dimensional problems, Burgers and Buckley-Leverett equations, and compared our numerical results to others, in the case of oil-water flows in two dimensions for an heterogeneous porous media.

ASSUNTO(S)

matematica aplicada finite volume method flux limiter oil reservoir engineering - simulation methods limitadores de fluxo two-phase flow - simulation methods petroleum reservoirs escoamento bifásico métodos de simulação engenharia de reservatório de óleo métodos de simulação reservatórios de petróleo método dos volumes finitos equações diferenciais parciais não-lineares partial differential equations, nonlinear

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