Abstract
Based on the methods and equations of the mechanics of multiphase media, a mathematical model of gas injection into a reservoir saturated with gas and ice has been built. The formation of gas hydrate in an extended area and melting of ice are taken into account. Considered problem is reduced to solving the problem of finding three moving boundaries of phase transitions. Self-similar solutions of the problem are obtained that describe the distribution of parameters (temperature, pressure, saturations of phases) in the reservoir.
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ACKNOWLEDGMENTS
The authors thank A. A. Gubaidullin for constructive comments and productive discussion of the article.
Funding
The study was performed by a grant from the Russian Foundation for Basic Research (project no. 18-29-10023).
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Khasanov, M.K., Musakaev, N.G. Mathematical Modeling of the Process of Gas Injection into a Reservoir with the Formation of Gas Hydrate and Melting of Ice. Lobachevskii J Math 42, 2151–2158 (2021). https://doi.org/10.1134/S1995080221090158
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DOI: https://doi.org/10.1134/S1995080221090158