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Control-Volume Discretization Method for Quadrilateral Grids with Faults and Local Refinements

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Abstract

This paper extends the multipoint flux-approximation (MPFA) control-volume method to quadrilateral grids for which the adjacent cells do not necessarily share corners. Examples are grids with faults and locally refined grids. This paper gives a derivation of the method for such grids. The difference between two-point flux-approximation (TPFA) results and MPFA results for faults and local grid refinements is demonstrated for synthetic problems. Further, the results are compared with results from uniform fine-grid simulations. The effect of repeated fault patterns as well as anisotropy is investigated. Large errors may be found for the TPFA method for flow through a series of faults in an anisotropic medium. Finally, a comparison is done for a reservoir field application.

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Authors and Affiliations

  1. Norsk Hydro, P.O. Box 7190, NO-5020, Bergen, Norway

    Ivar Aavatsmark, Edel Reiso & Rune Teigland

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  1. Ivar Aavatsmark
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  2. Edel Reiso
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  3. Rune Teigland
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Aavatsmark, I., Reiso, E. & Teigland, R. Control-Volume Discretization Method for Quadrilateral Grids with Faults and Local Refinements. Computational Geosciences 5, 1–23 (2001). https://doi.org/10.1023/A:1011601700328

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