Skip to Main content Skip to Navigation

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.
Complete list of metadata

Cited literature [8 references]  Display  Hide  Download
Contributor : Jérôme Jaffré Connect in order to contact the contributor
Submitted on : Tuesday, January 6, 2009 - 5:18:53 PM
Last modification on : Friday, February 4, 2022 - 3:07:39 AM
Long-term archiving on: : Tuesday, June 8, 2010 - 4:52:30 PM


Files produced by the author(s)


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


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



Record views


Files downloads