Oil displacement by water and gas in a porous medium: the Riemann problem

DOI10.1007/s00574-016-0123-4zbMath1337.35087OpenAlexW2315890435MaRDI QIDQ285316

Dan Marchesin, P. L. Andrade, Aparecido J. de Souza, Frederico Furtado

Publication date: 19 May 2016

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0123-4

zbMATH Keywords

Riemann problemimmiscible three-phase flowwave curve method

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Three or more component flows (76T30) Weak solutions to PDEs (35D30) Self-similar solutions to PDEs (35C06)

Related Items

Three-phase fluid displacements in a porous medium

Cites Work

• The Riemann problem for materials with nonconvex equation of state. II: General flow
• Structurally stable Riemann solutions
• Transitional Waves for Conservation Laws
• The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery
• The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I
• The Riemann Problem for General 2 × 2 Conservation Laws
• Uniqueness of the Riemann Solution for Three-Phase Flow in a Porous Medium
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