Global behavior of compressible three-phase flow in heterogeneous porous media |
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Authors: | Brahim Amaziane |
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Institution: | (1) Laboratoire de Mathématiques Appliquées Av. de l'Université, Université de Pau, URA-CNRS 1204, 64000 Pau, France |
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Abstract: | The homogenization method is used to analyze the equivalent behavior of a compressible three-phase flow model in heterogeneous porous media with periodic microstructure, including capillary effects. Asymptotic expansions lead to the definition of a global or effective model of an equivalent homogeneous reservoir. The resulting equations are of the same type as the points equations, with effective coefficients. The method allows the determination of these effective coefficients from a knowledge of the geometrical structure of the basic cell and its heterogeneities. Numerical computations to obtain the homogenized coefficients of the entire reservoir have been carried out via a finite element method. |
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Keywords: | Three-phase flow multiple scales heterogeneous porous media |
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