Comparisons of FV-MHMM with Other Finite Volume Multiscale Methods |
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Authors: | Jacques Franc Gerald Debenest Laurent Jeannin Rachid Ababou Roland Masson |
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Affiliation: | 1.INPT, UPS, IMFT (Institut de Mécanique des Fluides de Toulouse),Université de Toulouse,Toulouse,France;2.Storengy,Bois-Colombes,France;3.Laboratoire de Mathématiques J.A. Dieudonné, UMR 7351 CNRS,University Nice Sophia Antipolis,Nice,France |
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Abstract: | 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 with a Darcy’s equation considered at the fine 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 finite volume formulations: multiscale finite volume method (MsFv), multiscale restriction smoothed (MsRSB) and a new finite volume method, FV-MHMM. Comparisons are done in terms of accuracy to reproduce the fine scale behavior. |
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