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

被引：0
|
作者：
Lopuh N.B. [1 ]
Pyanylo Y. [1 ]
机构：
[1] Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv
来源：
Journal of Mathematical Sciences | 2024年 / 279卷 / 2期
关键词：
finite-element method; fractional derivatives; linearization; mathematical model; nonstationary gas motion;
D O I：
10.1007/s10958-024-07011-5
中图分类号：
学科分类号：
摘要：
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. © Springer Nature Switzerland AG 2024.
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页码：282 / 292
页数：10
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