CMMSE 2019: an explicit algorithm for the simulation of non-isothermal multiphase multicomponent flow in a porous medium

Trapeznikova, Marina; Churbanova, Natalia Gennadievna; Lyupa, Anastasiya Alexandrovna

doi:10.1007/s10910-019-01088-z

Cited by 6 publications

(2 citation statements)

References 13 publications

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“…We propose two approaches for modeling flows on a macro-scale within the framework of Darcy's law when the medium microstructure can be negligible. First, the original mathematical model of multiphase fluid flow has been constructed by analogy to the QGD system of equations [8,9]. The phase continuity equations were modified and got additional dissipative terms for the solution smoothing.…”

Section: Macro-scale Flow Modeling 21 Qgd-based Hyperbolic Model Of Porous Medium Flow Aimed At Explicit Algorithmsmentioning

confidence: 99%

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Different-Scale Simulation of Flows in Porous Media

Trapeznikova¹,

Churbanova²,

Chechina³

2021

EPJ Web Conf.

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The paper considers the development of algorithms for an adequate description of processes of different scales in porous media. The choice of a computational technique is determined by the reference size of the problem being solved. Models of porous medium flow under Darcy’s law, neglecting the medium microstructure, are used for the simulation at macro-scale. While at micro-scale, a direct description of fluid flow in porous channels with complex geometry by means of gas dynamic equations is used. In the first case the proposed model of non-isothermal multiphase multicomponent flow in a porous medium includes the mass balance and total energy conservation equations modified by analogy to the known quasi-gas dynamic equations. The model features are the introduction of minimal reference scales in space and in time and the change of the system type from parabolic to hyperbolic to increase the stability of explicit difference schemes applied for approximation. In the second case the dimensionless form of the quasi-gas dynamic system with pressure decomposition, developed by the authors earlier, is adapted to the simulation of flows in the pore space. The fictitious domain method is proposed to reproduce the core microstructure. The developed approaches have been verified by test predictions.

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Section: Macro-scale Flow Modeling 21 Qgd-based Hyperbolic Model Of Porous Medium Flow Aimed At Explicit Algorithmsmentioning

confidence: 99%

“…Derivation and substantiation of the model as well as detailed description of the computational algorithm and its verification via test predictions can be found in previous works by the authors [8,9,11,12].…”

Section: Macro-scale Flow Modeling 21 Qgd-based Hyperbolic Model Of Porous Medium Flow Aimed At Explicit Algorithmsmentioning

confidence: 99%