Implementação paralelizada de métodos de resolução de sistemas algébricos na simulação de reservatórios de gás

• Autor(a) principal: Werneck, Leonardo Figueira
• Data de Publicação: 2016
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UERJ
• Texto Completo: http://www.bdtd.uerj.br/handle/1/13814
• topic: Numerical reservoir simulation; Finite difference method; Sparse algebraic system; Iterative methods; OpenMP; Parallelization; Gas - Escoamento - Metodos de simulação; Dinamica dos gases - Metodos de simulação; Reservatorios de hidrocarbonetos - Metodos de simulação; Diferenças finitas - Metodos de simulação; OpenMP - Metodos de simulação; Sistema algébrico esparso; Métodos iterativos; Paralelização; CNPQ::ENGENHARIAS::ENGENHARIA MECANICA::FENOMENOS DE TRANSPORTE

Since the 1960s, due to the relevance for the oil industry, the numerical reservoir simulation has became an usual tool for industry and has been a subject of intensive research. The main goal of computational modeling and the use of numerical methods for reservoir simulation is to allow a better reservoir management, so that there is a optimized oil recovery. This work aims to parallelize, using the Application Programming Interface (API) OpenMP (Open Multi-Processing), the numerical method used to solve the algebraic system resulting from the discretization of the equation that describes the single-phase flow in a gas reservoir, considering the unknown pressure. The set of governing equations are the continuity equation, an expression for the momentum balance and an equation of state. The Hydraulic Diffusivity Equation (HDE), for the unknown pressure, is obtained from this set of fundamental equations and it is discretized by means of the Finite Difference Method (FDM) along with an implicit formulation. Different numerical tests are performed in order to study the computational efficiency of the parallelized versions of the Jacobi, Gauss-Seidel, Successive Overrelaxation, Conjugate Gradient, BiConjugate Gradient (BiCG) and BiConjugate Gradient Stabilized (BiCGStab) methods, aiming a future application on the numerical gas reservoir simulation. It is worth note that the heterogeneities presence in reservoir rock and/or non-linearities in the HDE for gas flow increase the need for more efficient methods in order to reduce computational costs, as the OpenMP technique.