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Mathematical Model of Carbon Dioxide Injection into a Porous Reservoir Saturated with Methane and Its Gas Hydrate

Author

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  • Marat K. Khasanov

    (Department of Applied Informatics and Programming, Sterlitamak Branch of Bashkir State University, 453100 Sterlitamak, Russia)

  • Guzal R. Rafikova

    (Department of Applied Informatics and Programming, Sterlitamak Branch of Bashkir State University, 453100 Sterlitamak, Russia
    Mavlutov Institute of Mechanics of UFRC RAS, 450054 Ufa, Russia)

  • Nail G. Musakaev

    (Department of Applied Informatics and Programming, Sterlitamak Branch of Bashkir State University, 453100 Sterlitamak, Russia
    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)

Abstract

In this paper, the process of methane replacement in gas hydrate with carbon dioxide during CO 2 injection into a porous medium is studied. A model that takes into account both the heat and mass transfer in a porous medium and the diffusion kinetics of the replacement process is constructed. The influences of the diffusion coefficient, the permeability and extent of a reservoir on the time of full gas replacement in the hydrate are analyzed. It was established that at high values of the diffusion coefficient in hydrate, low values of the reservoir permeability, and with the growth of the reservoir length, the process of the CH 4 -CO 2 replacement in CH 4 hydrate will take place in the frontal regime and be limited, generally, by the filtration mass transfer. Otherwise, the replacement will limited by the diffusion of gas in the hydrate.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:2:p:440-:d:309501
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    References listed on IDEAS

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    1. Christian Deusner & Nikolaus Bigalke & Elke Kossel & Matthias Haeckel, 2012. "Methane Production from Gas Hydrate Deposits through Injection of Supercritical CO 2," Energies, MDPI, vol. 5(7), pages 1-29, June.
    2. Kristine Horvat & Prasad Kerkar & Keith Jones & Devinder Mahajan, 2012. "Kinetics of the Formation and Dissociation of Gas Hydrates from CO 2 -CH 4 Mixtures," Energies, MDPI, vol. 5(7), pages 1-15, July.
    3. Yi Wang & Lei Zhan & Jing-Chun Feng & Xiao-Sen Li, 2019. "Influence of the Particle Size of Sandy Sediments on Heat and Mass Transfer Characteristics during Methane Hydrate Dissociation by Thermal Stimulation," Energies, MDPI, vol. 12(22), pages 1-15, November.
    4. Polterovich, Victor & Popov, Vladimir, 2006. "Эволюционная Теория Экономической Политики: Часть I: Опыт Быстрого Развития [An Evolutionary Theory of Economic Policy: Part I: The Experience of Fast Development]," MPRA Paper 22168, University Library of Munich, Germany.
    5. Jyoti Shanker Pandey & Nicolas von Solms, 2019. "Hydrate Stability and Methane Recovery from Gas Hydrate through CH 4 –CO 2 Replacement in Different Mass Transfer Scenarios," Energies, MDPI, vol. 12(12), pages 1-20, June.
    6. Beatrice Castellani & Alberto Maria Gambelli & Andrea Nicolini & Federico Rossi, 2019. "Energy and Environmental Analysis of Membrane-Based CH 4 -CO 2 Replacement Processes in Natural Gas Hydrates," Energies, MDPI, vol. 12(5), pages 1-17, March.
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    Cited by:

    1. Stanislav L. Borodin & Nail G. Musakaev & Denis S. Belskikh, 2022. "Mathematical Modeling of a Non-Isothermal Flow in a Porous Medium Considering Gas Hydrate Decomposition: A Review," Mathematics, MDPI, vol. 10(24), pages 1-17, December.
    2. Sergey Y. Misyura & Igor G. Donskoy, 2021. "Dissociation and Combustion of a Layer of Methane Hydrate Powder: Ways to Increase the Efficiency of Combustion and Degassing," Energies, MDPI, vol. 14(16), pages 1-16, August.
    3. 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.
    4. Sergey Misyura & Pavel Strizhak & Anton Meleshkin & Vladimir Morozov & Olga Gaidukova & Nikita Shlegel & Maria Shkola, 2023. "A Review of Gas Capture and Liquid Separation Technologies by CO 2 Gas Hydrate," Energies, MDPI, vol. 16(8), pages 1-20, April.
    5. Amir A. Gubaidullin & Olga Yu. Boldyreva & Dina N. Dudko, 2023. "Approach to the Numerical Study of Wave Processes in a Layered and Fractured Porous Media in a Two-Dimensional Formulation," Mathematics, MDPI, vol. 11(1), pages 1-13, January.
    6. Olga Gaidukova & Sergei Misyura & Pavel Strizhak, 2022. "Key Areas of Gas Hydrates Study: Review," Energies, MDPI, vol. 15(5), pages 1-18, February.

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