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Mathematical Modeling of Gas Filtration in the Bottomhole Zone of Underground Gas Storage Wells Using Fractional Derivatives

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The finite-element method is applied for the numerical simulation of gas filtration in porous inhomogeneous media. The model is based on the fractional derivatives with respect to time in terms of the Grünvald–Letnikov operator. The results of numerical analyses are verified by comparing with real-life empirical data on physical and geometric parameters to reveal their excellent agreement.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    N. B. Lopuh & Ya.D. Pyanylo

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  1. N. B. Lopuh
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  2. Ya.D. Pyanylo
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Correspondence to Ya.D. Pyanylo.

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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 64, No. 4, pp. 133–140, October–December, 2021.

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Lopuh, N.B., Pyanylo, Y. Mathematical Modeling of Gas Filtration in the Bottomhole Zone of Underground Gas Storage Wells Using Fractional Derivatives. J Math Sci 279, 282–292 (2024). https://doi.org/10.1007/s10958-024-07011-5

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  • DOI: https://doi.org/10.1007/s10958-024-07011-5

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