Abstract
Consideration is given to the stochastic-deterministic approach to the modeling of the Saffman–Taylor hydrodynamic instability in nonisothermal filtration of miscible fluids in a porous medium. The numerical model is employed to investigate the dynamics of development of the instability of the case of displacement of a more viscous cold fluid by a less viscous hot fluid in uniformly and nonuniformly permeable media.
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Noskov, M.D., Istomin, A.D. & Kesler, A.G. Stochastic-Deterministic Modeling of the Development of Hydrodynamic Instability in Nonisothermal Filtration. Journal of Engineering Physics and Thermophysics 75, 1139–1146 (2002). https://doi.org/10.1023/A:1021119709080
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DOI: https://doi.org/10.1023/A:1021119709080