Global Riemann solver and front tracking approximation of three-component gas floods

Saeid Khorsandi; Wen Shen; Russell T. Johns

doi:10.1090/qam/1444

Global Riemann solver and front tracking approximation of three-component gas floods

Saeid Khorsandi, Wen Shen, Russell T. Johns

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We study a 2×2 system of non-strictly hyperbolic conservation laws arising in three-component gas flooding for enhanced oil recovery. The system is not strictly hyperbolic. In fact, along a curve in the domain one family is linearly degenerate, and along two other curves the system is parabolic degenerate. We construct global solutions for the Riemann problem, utilizing the splitting property of thermodynamics from the hydrodynamics. Front tracking simulations are presented, using the global Riemann solver.

Original language	English (US)
Pages (from-to)	607-632
Number of pages	26
Journal	Quarterly of Applied Mathematics
Volume	74
Issue number	4
DOIs	https://doi.org/10.1090/qam/1444
State	Published - Jan 1 2016

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1090/qam/1444

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abstract = "We study a 2×2 system of non-strictly hyperbolic conservation laws arising in three-component gas flooding for enhanced oil recovery. The system is not strictly hyperbolic. In fact, along a curve in the domain one family is linearly degenerate, and along two other curves the system is parabolic degenerate. We construct global solutions for the Riemann problem, utilizing the splitting property of thermodynamics from the hydrodynamics. Front tracking simulations are presented, using the global Riemann solver.",

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AB - We study a 2×2 system of non-strictly hyperbolic conservation laws arising in three-component gas flooding for enhanced oil recovery. The system is not strictly hyperbolic. In fact, along a curve in the domain one family is linearly degenerate, and along two other curves the system is parabolic degenerate. We construct global solutions for the Riemann problem, utilizing the splitting property of thermodynamics from the hydrodynamics. Front tracking simulations are presented, using the global Riemann solver.

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Global Riemann solver and front tracking approximation of three-component gas floods

Abstract

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