Effective model of two-phase flow in a porous medium made of different rock types

DOI10.1080/00036819508840360zbMath0833.76079OpenAlexW2057461131WikidataQ58291393 ScholiaQ58291393MaRDI QIDQ4854554

Abdelkader Hidani, Alain Bourgeat

Publication date: 24 March 1996

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819508840360

zbMATH Keywords

macroscopic equationstwo-scale convergencehomogenized modellocal equationscapillary pressure curverelative permeability curvesrock permeability tensor

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (8)

A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media ⋮ Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media ⋮ Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures ⋮ HOMOGENIZATION OF THE DEGENERATE TWO-PHASE FLOW EQUATIONS ⋮ Homogenization of a three-phase flow model in porous media ⋮ Homogenization of immiscible compressible two-phase flow in highly heterogeneous porous media with discontinuous capillary pressures ⋮ JHomogenizer: a computational tool for upscaling permeability for flow in heterogeneous porous media ⋮ A two level scaling-up method for multiphase flow in porous media; numerical validation and comparison with other methods

Cites Work

• Unnamed Item
• Unnamed Item
• Homogenized behavior of two-phase flows in naturally fractured reservoirs with uniform fractures distribution
• Non-homogeneous media and vibration theory
• Quasilinear elliptic-parabolic differential equations
• Un résultat d'homogénéisation pour une classe de problèmes de diffusion non linéaires stationnaires
• A convergence theorem for homogenization of two-phase miscible flow through fractured reservoirs with uniform fracture distributions
• Homogenization and Two-Scale Convergence
• BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF EQUATIONS OF TWO-PHASE POROUS FLOW TYPE; STATEMENT OF THE PROBLEMS, QUESTIONS OF SOLVABILITY, JUSTIFICATION OF APPROXIMATE METHODS
• A General Convergence Result for a Functional Related to the Theory of Homogenization

This page was built for publication: Effective model of two-phase flow in a porous medium made of different rock types