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Université de Provence - Aix-Marseille I Hyper Articles en Ligne |
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Université de Provence - Aix-Marseille I Hyper Articles en Ligne |
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| HAL : hal-00706244, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Computational Geosciences 16, 4 (2012) 987-1005 |
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| Vertex-centred Discretization of Multiphase Compositional Darcy flows on General Meshes |
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| Robert Eymard 1Cindy Guichard 2 |
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| (30/06/2012) |
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| This paper concerns the discretization on general 3D meshes of multiphase compositional Darcy flows in heterogeneous anisotropic porous media. Extending Coats' formulation to an arbitrary number of phases, the model accounts for the coupling of the mass balance of each component with the pore volume conservation and the thermodynamical equilibrium, and dynamically manages phase appearance and disappearance. The spatial discretization of the multiphase compositional Darcy flows is based on a generalization of the Vertex Approximate Gradient scheme (VAG), already introduced for single phase diffusive problems. It leads to an unconditionally coercive scheme for arbitrary meshes and permeability tensors. The stencil of this vertex-centred scheme typically comprises 27 points on topologically Cartesian meshes, and the number of unknowns on tetrahedral meshes is considerably reduced, compared with usual cell-centred approaches. The efficiency of our approach is exhibited on the nearwell injection of miscible CO2 in a saline aquifer taking into account the vaporization of H2O in the gas phase as well as the precipitation of salt. |
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| 1 : | Laboratoire d'Analyse et de Mathématiques Appliquées (LAMA) |
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Université Paris-Est Marne-la-Vallée (UPEMLV) – Université Paris-Est Créteil Val-de-Marne (UPEC) – CNRS : UMR8050 – Fédération de Recherche Bézout |
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| 2 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS] |
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| 3 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| Université de Nice Sophia Antipolis, LJAD |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00706244, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00706244 | |
| oai:hal.archives-ouvertes.fr:hal-00706244 | |
| Contributeur : Roland Masson | |
| Soumis le : Jeudi 14 Juin 2012, 18:35:00 | |
| Dernière modification le : Mardi 20 Novembre 2012, 14:09:41 | |
