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

Nail G. Musakaev; Marat K. Khasanov

doi:10.3390/math8010036

journal article Open Access Jan 01, 2020

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

Nail G. Musakaev

Marat K. Khasanov

Mathematics Vol. 8 No. 1 pp. 36 · MDPI AG

View at Publisher Save 10.3390/math8010036

Abstract

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.

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Cited By

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Mathematical Modeling of the Gas Hydrate Formation Process in a Porous Reservoir, Taking into Account Nonequilibrium Phase Transition

N. G. Musakaev, S. L. Borodin · 2022

Lobachevskii Journal of Mathematics

Metrics

22

Citations

31

References

Details

Published: Jan 01, 2020
Vol/Issue: 8(1)
Pages: 36
License: View

Authors

N

Nail G. Musakaev

Tyumen Branch of Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 625026 Tyumen, Russia; Department of Development and Exploitation of Oil and Gas Fields, Industrial University of Tyumen, 625000 Tyumen, Russia

M

Marat K. Khasanov

Department of Applied Informatics and Programming, Bashkir State University, 450076 Ufa, Russia

Funding

Российский Фонд Фундаментальных Исследований (РФФИ) Award: 18-29-10023

Cite This Article

Nail G. Musakaev, Marat K. Khasanov (2020). Solution of the Problem of Natural Gas Storages Creating in Gas Hydrate State in Porous Reservoirs. Mathematics, 8(1), 36. https://doi.org/10.3390/math8010036

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

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