Three-phase fluid displacements in a porous medium

DOI10.1142/S0219891618500236zbMath1428.35341OpenAlexW2911072834MaRDI QIDQ5237467

Dan Marchesin, Patrício Andrade, Frederico Furtado, Aparecido J. de Souza

Publication date: 18 October 2019

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891618500236

zbMATH Keywords

Riemann problemimmiscible three-phase flowwave curve method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Three or more component flows (76T30) Self-similar solutions to PDEs (35C06)

Cites Work

• Oil displacement by water and gas in a porous medium: the Riemann problem
• The Riemann problem for general systems of conservation laws
• Existence theory for hyperbolic systems of conservation laws with general flux-functions
• The Riemann problem for materials with nonconvex equation of state. II: General flow
• Capillary instability in models for three-phase flow
• Structurally stable Riemann solutions
• Hyperbolic systems of conservation laws II
• 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
• Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
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