Uniqueness of the Riemann Solution for Three-Phase Flow in a Porous Medium

DOI10.1137/140954623zbMath1325.35157OpenAlexW2045116511MaRDI QIDQ5246074

Dan Marchesin, Aparecido J. de Souza, Arthur V. Azevedo, Frederico Furtado

Publication date: 17 April 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140954623

zbMATH Keywords

method of characteristicsimmiscible three-phase flowwave curve methodBuckley-Leverett solutionthree-phase permeabilities

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Three or more component flows (76T30) Weak solutions to PDEs (35D30) Self-similar solutions to PDEs (35C06)

Related Items (9)

Universality of Riemann solutions in porous media ⋮ Oil displacement by water and gas in a porous medium: the Riemann problem ⋮ The role of sonic shocks between two- and three-phase states in porous media ⋮ Singularity of a Combustion Wave Profile: A Clue to the MultiComponent Theory for Liquid-Gas Filtration ⋮ On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows ⋮ Bifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systems ⋮ On a universal structure for immiscible three-phase flow in virgin reservoirs ⋮ Three-phase fluid displacements in a porous medium ⋮ Two-phase hyperbolic model for porous media saturated with a viscous fluid and its application to wavefields simulation

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