The analysis of gas filtration model with use of fractional derivatives in time

Fìz.-mat. model. ìnf. tehnol. 2017, 25:82-89

  • Nazariy Lopuh Center of Mathematical Modelling of IAPMM
Keywords: fractional derivatives, sampling, non-stationary process, finite element method, mathematical model

Abstract

In work on the basis of a finite elements method it is offered numerical model of gas filtration in porous non-uniform environments with use of fractional derivatives in time. Kaputto and Rimman- Liouville's fractional derivatives are considered. The numerical analysis with use of experimental initial data is made. The received results can be used for a research of filtrational properties of the vicinity of the well, definition of its output depending on pressure distribution.

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Published
2018-11-19
How to Cite
Lopuh, N. (2018). The analysis of gas filtration model with use of fractional derivatives in time. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (25), 82-89. https://doi.org/10.15407/fmmit2017.25.082