A comparative study of implicit and explicit methods using unstructured voronoi meshes in petroleum reservoir simulation

This work presents a comparative study among three linearization schemes widely used in petroleum reservoir simulation, namely the Implicit Pressure Explicit Saturation (IMPES), Fully Implicit (FI) and Adaptive Implicit Method (AIM). Attention is given to the criterion used for switching from IMPES...

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Detalhes bibliográficos
Autores: Marcondes, Francisco, Maliska, Clóvis Raimundo, Zambaldi, Mário César
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2009
País:Brasil
Recursos:Universidade Federal do Ceará (UFC)
Repositório:Repositório Institucional da Universidade Federal do Ceará (UFC)
Idioma:inglês
OAI Identifier:oai:repositorio.ufc.br:riufc/66639
Acesso em linha:http://www.repositorio.ufc.br/handle/riufc/66639
Access Level:Acceso aberto
Palavra-chave:Adaptive implicit method
Voronoi grids
Finite-volume method
Petroleum reservoir simulation
Descrição
Resumo:This work presents a comparative study among three linearization schemes widely used in petroleum reservoir simulation, namely the Implicit Pressure Explicit Saturation (IMPES), Fully Implicit (FI) and Adaptive Implicit Method (AIM). Attention is given to the criterion used for switching from IMPES to FI and vice-versa. The black-oil model considering the oil-water flow is employed. The equations are discretized using an unstructured Voronoi mesh in a finite-volume framework. The numerical results are analyzed based on the number of iterations in the Newton and solver procedures, number of implicit volumes, and mass balance error of components. The effect of the stopping criterion on Newton's iterations is also investigated. The outcome of the study reveals that adaptive implicit methodologies can be a good choice when unstructured grids are present, allowing the use of time steps with the same order of magnitude as the ones used in FI procedures, but with reduction in the computational effort.