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Approach to the Numerical Study of Wave Processes in a Layered and Fractured Porous Media in a Two-Dimensional Formulation

Author

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  • Amir A. Gubaidullin

    (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)

  • Olga Yu. Boldyreva

    (Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 74 Taymyrskaya Str., 625026 Tyumen, Russia)

  • Dina N. Dudko

    (Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 74 Taymyrskaya Str., 625026 Tyumen, Russia)

Abstract

A new approach to the numerical study of arbitrary waveform impulses in a layered porous and fractured-porous medium in a two-dimensional formulation has been developed. Layers can have different characteristics and contain fractures. A computer implementation of the mathematical model based on the finite-difference MacCormack method has been completed. A number of test calculations have been carried out confirming the reliability of the numerical solutions obtained. The possibility of using the proposed approach to solve problems of wave dynamics is shown.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:1:p:227-:d:1022681
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    References listed on IDEAS

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    1. 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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