Upscaling Numérico Baseado em uma Metodologia Multiescala para a Simulação de Escoamentos em Reservatórios de Petróleo Heterogêneos e Anisotrópicos

Resumo

This work aims to develop a scale transfer methodology in highly heterogeneous and anisotropic
porous media, that makes it possible to solve elliptical problems with accuracy and low computational cost. A
scale transfer method is developed that uses the Multiscale Finite Volume Method (MSFVM) to perform a flow
based numerical upscaling of absolute permeability. The transmissibility matrix was built in the coarse mesh
over the projection and restriction operators obtaining permeability in the coarse scale. This allows to solve only
local problems in the coarse mesh volumes and to use pressure multiscale solution in the fine mesh. The
permeability field can be obtained by different strategies, and enabling simulations directly on the coarse mesh,
controlling the accuracy of the solutions and also with the possibility of updating the permeability field over the
recalculated locally conservative multiscale solution.