Abstract
Summary Upscaling and Multiscale Methods in reservoir engineering remain a complicated task especially when dealing with heterogeneities. In this study, we focus on flow field problem whit a Darcy like equation that we will consider as reference solution on the fine grid scale. The main difficulty is then to obtain an accurate description of the flow behavior by using Multiscale Methods available in petroleum engineering. We cross compare three of the main models available in finite volume formulation, i.e. Multiscale Finite Volume Method (MsFv) with Multiscale Restriction Smoothed Basis (MsRSB) and a new finite volume method FV-MMHM. Comparisons are done in terms of accuracy to reproduce fine scale behavior. We also estimate overall error level in order to compare the global response of each method. Some challenging slices of the SPE 10th benchmark are used to test those 3 methods.
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