Computer modelling of the fluid filtration process in porous media

Kurbonov, Nozim

doi:10.1109/icisct55600.2022.10146849

Cited by 4 publications

(1 citation statement)

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“…Mathematical modeling of the problem of fluid filtration in single-layer and multilayer porous media for Newtonian and non-Newtonian fluids is considered in [1][2][3]. There are works [4][5] where individual problems of the filtration process of gas and oil in single-layer and multi-layer deformable porous media are studied with an individual interpretation of physical and mechanical processes in a porous medium, as well as approaches to solving them. In [6][7] the process of constructing mathematical models was improved by optimizing the construction of multiparameter mathematical models.…”

Section: Introductionmentioning

confidence: 99%

A multiparameter mathematical model for the problem of nonlinear filtration of fluids in two-layer media

Kayumov,

Arzikulov,

Bekchanov

et al. 2024

J. Phys.: Conf. Ser.

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In the realm of fluid dynamics and porous media, the nonlinear filtration of fluids in two-layer media presents a complex and intriguing challenge that demands a comprehensive mathematical framework for accurate representation and analysis. This paper introduces a multiparameter mathematical model designed to elucidate the intricacies of fluid filtration in heterogeneous environments, specifically focusing on two-layer media. The authors research the construction of a multiparameter mathematical model and numerical solution of nonlinear problems of the theory of filtration of unstructured and structured fluids in hydrodynamically connected multilayer formations with different characteristics. The developed models and solution algorithms were tested on hypothetical data.

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Section: Introductionmentioning

confidence: 99%