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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 10-11: Mathematical Modelling and Numerical Simulation of Flow and Transport in Porous Media
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Original Articles

A fully equivalent global pressure formulation for three-phases compressible flows

G. Chavent Inria-Roquencourt, BP 105, 78153 Le Chesnay Cedex, France; Ceremade, Université Paris-Dauphine, 75775 Paris Cedex 16, FranceCorrespondence[email protected]
Pages 1527-1541 | Received 10 Jan 2009, Accepted 17 Mar 2009, Published online: 06 Oct 2009

Citations (13)

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Brahim Amaziane, Mladen Jurak & Anja Vrbaški. (2013) Homogenization results for a coupled system modelling immiscible compressible two-phase flow in porous media by the concept of global pressure. Applicable Analysis 92:7, pages 1417-1433.
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Articles from other publishers (12)

Xuejing Deng, Shuxin Han, Haijing Wang, Zhiyuan Wang, Liang Li & Long Yu. (2022) Modeling Two-Phase Flow Caused by Hydrate Dissociation in a Reservoir on the Concept of Global Pressure. SPE Journal 28:01, pages 80-96.
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Brahim Amaziane, Mladen Jurak & Ivana Radišić. (2022) Convergence of a finite volume scheme for immiscible compressible two-phase flow in porous media by the concept of the global pressure. Journal of Computational and Applied Mathematics 399, pages 113728.
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Gerhard Schäfer, Raphaël di Chiara Roupert, Amir H. Alizadeh & Mohammad Piri. (2020) On the prediction of three-phase relative permeabilities using two-phase constitutive relationships. Advances in Water Resources 145, pages 103731.
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Clément Cancès, Thomas O. Gallouët & Léonard Monsaingeon. (2017) Incompressible immiscible multiphase flows in porous media: a variational approach. Analysis & PDE 10:8, pages 1845-1876.
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Prabir Daripa & Sourav Dutta. (2017) Modeling and simulation of surfactant–polymer flooding using a new hybrid method. Journal of Computational Physics 335, pages 249-282.
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Lauriane Schneider, Rapha?l di Chiara Roupert, Gerhard Sch?fer & Philippe Helluy. (2015) Highly gravity-driven flow of a NAPL in water-saturated porous media using the discontinuous Galerkin finite-element method with a generalised Godunov scheme. Computational Geosciences 19:4, pages 855-876.
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Brahim Amaziane, Mladen Jurak & Ana Žgaljić Keko. (2013) Modeling compositional compressible two-phase flow in porous media by the concept of the global pressure. Computational Geosciences 18:3-4, pages 297-309.
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Brahim Amaziane, Mladen Jurak & Ana Žgaljić Keko. (2012) Numerical simulations of water–gas flow in heterogeneous porous media with discontinuous capillary pressures by the concept of global pressure. Journal of Computational and Applied Mathematics 236:17, pages 4227-4244.
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Brahim Amaziane, Mladen Jurak & Ana Žgaljić Keko. (2011) An existence result for a coupled system modeling a fully equivalent global pressure formulation for immiscible compressible two-phase flow in porous media. Journal of Differential Equations 250:3, pages 1685-1718.
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Raphaël di Chiara Roupert, Gerhard Schäfer, Philippe Ackerer, Michel Quintard & Guy Chavent. (2010) Construction of three-phase data to model multiphase flow in porous media: Comparing an optimization approach to the finite element approach. Comptes Rendus Geoscience 342:11, pages 855-863.
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Brahim Amaziane, Mladen Jurak & Ana Žgaljić Keko. (2009) Modeling and Numerical Simulations of Immiscible Compressible Two-Phase Flow in Porous Media by the Concept of Global Pressure. Transport in Porous Media 84:1, pages 133-152.
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R. di Chiara Roupert, G. Chavent & G. Sch?fer. (2010) Three-phase compressible flow in porous media: Total Differential Compatible interpolation of relative permeabilities. Journal of Computational Physics 229:12, pages 4762-4780.
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