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Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection

Author

Listed:
  • Marat K. Khasanov

    (Department of Applied Informatics and Programming, Sterlitamak Branch of the Bashkir State University, 49 Lenin Ave., 453103 Sterlitamak, Russia)

  • Svetlana R. Kildibaeva

    (Research Department, Sterlitamak Branch of the Bashkir State University, 49 Lenin Ave., 453103 Sterlitamak, Russia)

  • Maxim V. Stolpovsky

    (Department of Physics, Ufa State Petroleum Technological University, 1 Kosmonavtov Str., 450062 Ufa, Russia)

  • Nail G. Musakaev

    (Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 74 Taymyrskaya Str., 625026 Tyumen, Russia
    Department of Applied and Technical Physics, University of Tyumen, 6 Volodarskogo Str., 625003 Tyumen, Russia)

Abstract

Increasing the efficiency of natural gas storage in geological formations is possible by transferring gas from a free state to a gas hydrate state, since gas hydrates have a number of unique properties. For example, 1 m 3 of methane hydrate contains 164 m 3 of gas under normal conditions. It is possible to store a sufficiently large amount of gas in a small volume at a relatively low pressure. To study the regularities of the process of formation of underground gas hydrate gas storage, this article presents a mathematical model of the process of methane injection into a natural reservoir saturated with methane and water, accompanied by the formation of gas hydrate. Unlike previous works, the constructed mathematical model additionally takes into account a number of factors: the filtration flow of water, the real gas properties, the Joule–Thomson effects and adiabatic compression. The process of gas hydrate formation is considered as a non-equilibrium phase transition. Numerical solutions of the problem are constructed that describe the distributions of parameters (temperature, pressure, phase saturations) in a reservoir. Dependences are obtained that reveal the regularities of the process of non-equilibrium formation of gas hydrate in a natural reservoir during gas injection. The influence of gas injection pressure and temperature, as well as reservoir porosity and permeability, on the distributions of pressure, temperature, water saturation and hydrate saturation in the reservoir, as well as on the dynamics of changes in these parameters and the mass of gas hydrate formed in the reservoir over time, are analyzed.

Suggested Citation

  • Marat K. Khasanov & Svetlana R. Kildibaeva & Maxim V. Stolpovsky & Nail G. Musakaev, 2022. "Mathematical Model of the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir during Gas Injection," Mathematics, MDPI, vol. 10(21), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4054-:d:959629
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    References listed on IDEAS

    as
    1. Marat K. Khasanov & Nail G. Musakaev & Maxim V. Stolpovsky & Svetlana R. Kildibaeva, 2020. "Mathematical Model of Decomposition of Methane Hydrate during the Injection of Liquid Carbon Dioxide into a Reservoir Saturated with Methane and Its Hydrate," Mathematics, MDPI, vol. 8(9), pages 1-15, September.
    2. Veluswamy, Hari Prakash & Kumar, Asheesh & Seo, Yutaek & Lee, Ju Dong & Linga, Praveen, 2018. "A review of solidified natural gas (SNG) technology for gas storage via clathrate hydrates," Applied Energy, Elsevier, vol. 216(C), pages 262-285.
    3. Marat K. Khasanov & Guzal R. Rafikova & Nail G. Musakaev, 2020. "Mathematical Model of Carbon Dioxide Injection into a Porous Reservoir Saturated with Methane and Its Gas Hydrate," Energies, MDPI, vol. 13(2), pages 1-17, January.
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