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Solution of the Problem of Natural Gas Storages Creating in Gas Hydrate State in Porous Reservoirs

1
Tyumen Branch of Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 625026 Tyumen, Russia
2
Department of Development and Exploitation of Oil and Gas Fields, Industrial University of Tyumen, 625000 Tyumen, Russia
3
Department of Applied Informatics and Programming, Bashkir State University, 450076 Ufa, Russia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 36; https://doi.org/10.3390/math8010036
Received: 6 December 2019 / Revised: 19 December 2019 / Accepted: 24 December 2019 / Published: 1 January 2020
Underground gas hydrate storage of natural gas is a rather promising way of creating underground storage facilities for hydrocarbon raw materials in porous reservoirs. This paper presents a solution to the problem of the formation of CH4 hydrate in a porous medium during the injection of methane into a reservoir at a temperature lower than the initial temperature of the reservoir. Self-similar solutions of the problem in axisymmetric approximation are given, describing the pressure and temperature distribution in separate reservoir regions at the formation of gas hydrate on the frontal surface. On the basis of the method of sequential change of stationary states, an analytical solution was obtained, which allowed us to determine the position of the methane hydrate formation boundary depending on different parameters for any moment of time. The limits of the applicability of the proposed model are also given. Thus, the analysis of the calculation results showed that the constructed solution allows one to sufficiently and accurately determine the values of parameters at the frontal surface for a highly permeable medium (k0 > 10−13 m2). It was proved that in the case of a highly permeable medium, the methane hydrate formation intensity will be limited by convective heat dissipation during hydrate formation. View Full-Text
Keywords: porous medium; nonisothermic filtration; gas hydrate; phase transition porous medium; nonisothermic filtration; gas hydrate; phase transition
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Musakaev, N.G.; Khasanov, M.K. Solution of the Problem of Natural Gas Storages Creating in Gas Hydrate State in Porous Reservoirs. Mathematics 2020, 8, 36.

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