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A Fully Equivalent Global Pressure Formulation for Three-Phase Compressible Flow

Abstract : 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.
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https://hal.inria.fr/inria-00350459
Contributor : Jérôme Jaffré <>
Submitted on : Tuesday, January 6, 2009 - 5:18:53 PM
Last modification on : Wednesday, September 23, 2020 - 4:28:27 AM
Long-term archiving on: : Tuesday, June 8, 2010 - 4:52:30 PM

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  • HAL Id : inria-00350459, version 1
  • ARXIV : 0901.1462

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Guy Chavent. A Fully Equivalent Global Pressure Formulation for Three-Phase Compressible Flow. [Research Report] RR-6788, INRIA. 2008, pp.16. ⟨inria-00350459⟩

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