A Fully Equivalent Global Pressure Formulation for Three-Phase Compressible Flow
Chavent, Guy (2009), A Fully Equivalent Global Pressure Formulation for Three-Phase Compressible Flow, Applicable Analysis, 88, 10-11, p. 1527-1541. http://dx.doi.org/10.1080/00036810902994276
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http://hal.inria.fr/inria-00350459/en/Date
2009Nom de la revue
Applicable AnalysisVolume
88Numéro
10-11Éditeur
Taylor and Francis
Pages
1527-1541
Identifiant publication
Métadonnées
Afficher la notice complèteAuteur(s)
Chavent, GuyRésumé (EN)
We introduce a new global pressure formulation for immiscible three-phase compressible flows in porous media which is fully equivalent to the original equations, unlike the one introduced in \cite{CJ86}. In this formulation, the total volumetric flow of the three fluids and the global pressure follow a classical Darcy law, which simplifies the resolution of the pressure equation. However, this global pressure formulation exists only for Total Differential (TD) three-phase data, which depend only on two functions of saturations and global pressure: the global capillary pressure and the global mobility. Hence we introduce a class of interpolation which constructs such TD-three-phase data from any set of three two-phase data (for each pair of fluids) which satisfy a TD-compatibility condition.Mots-clés
Three-phase flow in porous media; global pressurePublications associées
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Al Khoury, Philippe; Chavent, Guy (2006) Communication / Conférence