Formulações de elementos finitos bi e tridimensionais para simulação em paralelo de escoamentos em reservatórios de petróleo

• Ano de defesa: 1997
• Autor(a) principal: Garcia, Eduardo Lúcio Mendes
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Rio de Janeiro; Brasil; Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia; Programa de Pós-Graduação em Engenharia Civil; UFRJ
• Palavras-chave em Português: Método dos elementos finitos; Programação paralela; Modelos matemáticos; Petróleo; Escoamento multifásico; CNPQ::ENGENHARIAS::ENGENHARIA CIVIL::ENGENHARIA HIDRAULICA
• Link de acesso: http://hdl.handle.net/11422/7036

Finite element formulations oriented to distributed memory parallel machines are proposed and analized to simulate incompressible miscible flow in porous media with applicationto petroleum reservoir engineering. The mathematical model consists in a system of a partial differential equations given by an elliptic subsystem which describes the pressure and the velocity of mixture, and a convection-diffusion equation which describes the concentration of the injected fluid. Global and local post-processing techniques are employed to accurately compute the velocity field. A stabilized consistent Petrov-Galerkin method is applied to the concentration equation combined with a implicit finite difference scheme in time. To solve the large systems of linear equations iterative Krylov projection type methods combined with an element-by-element strategy are implemented in a parallel machine. Numerical results for two and three dimensional simulations of tracer injection and tertiary recover processes are carried out showing the good performance of the proposed numerical formulations and efficiency of parallel implementation.