@article {Chavent:2009:0003-6811:1527,
title = "A fully equivalent global pressure formulation for three-phases compressible flows",
journal = "Applicable Analysis",
parent_itemid = "infobike://tandf/gapa",
publishercode ="tandf",
year = "2009",
volume = "88",
number = "10-11",
publication date ="2009-10-01T00:00:00",
pages = "1527-1541",
itemtype = "ARTICLE",
issn = "0003-6811",
eissn = "1563-504X",
url = "https://www.ingentaconnect.com/content/tandf/gapa/2009/00000088/f0020010/art00007",
doi = "doi:10.1080/00036810902994276",
keyword = "multiphase flow, global pressure, compressible fluids, porous media",
author = "Chavent, G.",
abstract = "We introduce a 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 Chavent and Jaffre, [Mathematicals Models and Finite Elements for Reservoir Simulation, Amsterdam,
North-Holland, 1986. 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 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.",
}