BARON, Vincent; COUDIÈRE, Yves; SOCHALA, Pierre

doi:10.2516/ogst/2013157

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BARON, Vincent
Laboratoire de Mathématiques Jean Leray [LMJL]

COUDIÈRE, Yves
Institut de Mathématiques de Bordeaux [IMB]

SOCHALA, Pierre
Bureau de Recherches Géologiques et Minières [BRGM]

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Article de revue

Ce document a été publié dans

Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles. 2014, vol. 69, n° 4, p. 673-686

Institut Français du Pétrole (IFP)

Résumé en anglais

We present a preliminary work to simulate gas injection in deep aquifers. Unsteady single-phase flows are considered. We compare Discrete Duality Finite Volume (DDFV) and Discon- tinuous Galerkin (DG) schemes applied to discretize the diffusive term. The second-order Backward Differentiation Formula is used for the time-stepping method. On the one hand, the DDFV methods are easy to implement, ensure a preservation of physical properties and offer superconvergence in the L2 -norm on a regular basis. On the other hand, the DG methods are flexible, allow arbitrary order of accuracy, and their ample theoretical foundation make them a reliable choice for many computational problems. We consider here the Symmetric Weighted Interior Penalty Galerkin method. Accuracy and robustness of these two schemes are tested and compared on various test cases, especially in anisotropic heterogeneous media.< Réduire

Mots clés en italien

Richards equation

finite volume

discontinuous galerkin

URI

https://oskar-bordeaux.fr/handle/20.500.12278/189618

DOI

http://dx.doi.org/10.2516/ogst/2013157

Project ANR

Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251