Simulação numérica tridimensional para escoamentos em reservatórios de petróleo heterogêneos

• Ano de defesa: 2012
• Autor(a) principal: Lopes, Tuane Vanessa
• Orientador(a): Garcia, Eduardo Lúcio Mendes
• Banca de defesa: Murad, Marcio Arab , Souto, Hélio Pedro Amaral , Correa, Maicon Ribeiro
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Laboratório Nacional de Computação Científica
• Programa de Pós-Graduação: Programa de Pós-Graduação em Modelagem Computacional
• Departamento: Coordenação de Pós-Graduação e Aperfeiçoamento (COPGA)
• País: BR
• Palavras-chave em Português: Simulação (Computadores); Reservatórios de petróleo : Meios heterogêneos tridimensionais
• Palavras-chave em Inglês: Numerical methods; Oil reservoirs simulation; Conservations laws; Heterogeneous three-dimensional media; Finite-differences central schemes.
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA::LOGICA MATEMATICA
• Link de acesso: https://tede.lncc.br/handle/tede/41

Multiphase flows in porous media are modeled by a system of partial differential equations and the study of the numerical approximation to the solutions of these plays a crucial role in the simulation and prediction of problems that are of great practical interest and of economic and social impact, such as secondary oil recovery, geological storage of CO2 and transport of pollutants in aquifers. The goal of this work is the development of a three-dimensional numerical simulator that precisely evaluates the transport of two immiscible fluids in a heterogeneous porous media using multithread parallel programming to shared memory multiprocessors computers. The system of partial differential equations is decomposed into a elliptic subsystem used to determine the velocity field and into a hyperbolic equation (nonlinear) to determine the transport of the fluid phases. The approximation to the solution of the latter one is calculated using a high order non-oscillatory finite-differences numerical method based on central schemes that allows a semi-discrete formulation which an extension that enables to work with variable space coefficients. Numerical experiments on three-dimensional models were performed considering linear and nonlinear flow problems in typical settings of oil reservoirs simulations. The results were satisfactory since they presented mass conservation, precise capture of shock waves and small numeric diffusion, regardless of the time step.