Study of a numerical scheme for miscible two‐phase flow in porous media

DOI10.1002/num.21823zbMath1355.76039OpenAlexW2126909590MaRDI QIDQ5418776

Veronika Schleper, Robert Eymard

Publication date: 28 May 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21823

zbMATH Keywords

finite volume methodsconvergence studydissolutiontwo-phase flow in porous medium

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Liquid-gas two-phase flows, bubbly flows (76T10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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TP or not TP, that is the question ⋮ Modeling compositional compressible two-phase flow in porous media by the concept of the global pressure ⋮ Numerical study of compositional compressible degenerate two-phase flow in saturated-unsaturated heterogeneous porous media ⋮ Convergence of a finite volume scheme for immiscible compressible two-phase flow in porous media by the concept of the global pressure

Cites Work

• Two-component two-compressible flow in a porous medium
• Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure
• Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
• A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data
• Mathematical study of a petroleum-engineering scheme
• Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces