Global Riemann solver and front tracking approximation of three-component gas floods (Q2821872)

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scientific article; zbMATH DE number 6629470
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Global Riemann solver and front tracking approximation of three-component gas floods
scientific article; zbMATH DE number 6629470

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    Global Riemann solver and front tracking approximation of three-component gas floods (English)
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    23 September 2016
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    non-strictly hyperbolic conservation laws
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    The author's study a \(2\times2\) 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. Through a constructive proof, authors show the existence and uniqueness for a solution of the global Riemann problem for a two-phase flow model with three-component gas flooding in reservoir simulation. The construction of the Riemann solution offers a front tracking algorithm, allowing numerical simulations for case studies.
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