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

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

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-l...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024-02, Vol.279 (2), p.282-292
Hauptverfasser: Lopuh, N. B., Pyanylo, Ya.D.
Format: Artikel
Sprache:eng
Schlagworte:
Empirical analysis
Filtration
Finite element method
Inhomogeneous media
Mathematical models
Mathematics
Mathematics and Statistics
Porous media
Underground storage
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07011-5