Mathematical modeling of gas-condensate mixture filtration in porous media taking into account non-equilibrium of phase transitions

Kachalov, Vladimir V.; Molchanov, Dmitry; Сокотущенко, В Н; Зайченко, В. М.

doi:10.1088/1742-6596/774/1/012043

Cited by 6 publications

(2 citation statements)

References 2 publications

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“…Significant differences in the indicators of the design and actual recovery of condensate during the development of reservoirs of this type, as a rule, are caused by insufficient knowledge about the mechanisms of nonequilibrium filtration of gas condensate mixtures in reservoir conditions. The authors of [6] presented a system of differential equations for describing the filtration process of a two-phase multicomponent mixture for one-, two-and three-dimensional cases. The solution of the described system was carried out by the finite element method in the FlexPDE software package.…”

Section: Introductionmentioning

confidence: 99%

3D model and numerical algorithm for gas filtration in porous media

Kurbonov¹

2022

Math. Model. Comput.

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The article presents a three-dimensional mathematical model of the gas filtration process in porous media and a numerical algorithm for solving the initial-boundary value problem. The developed model is described using the nonlinear differential equation in partial derivatives with the appropriate initial and boundary conditions. The proposed mathematical apparatus makes it possible to carry out hydrodynamic calculations taking into account changes in the main factors affecting the process under consideration: permeability, porosity, and thickness of layers, gas recovery coefficient, viscosity, etc. Computer implementation of the model provides an opportunity to solve practical problems of analysis and forecasting of the gas production process under various conditions of impact on the productive reservoir, as well as making decisions on the development of existing and design of new gas fields.

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Section: Introductionmentioning

confidence: 99%

3D model and numerical algorithm for gas filtration in porous media

Kurbonov¹

2022

Math. Model. Comput.

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“…Filtration processes with phase transitions were studied an a few works, for instance in [4,5], where numerical methods were applied to the system of filtration equations. Some invariant solutions and analysis of admissible symmetries of filtration equations for various media are presented in [6].…”

Section: Introductionmentioning

confidence: 99%

Critical phenomena and singular solutions in non-stationary filtration of real gases

Lychagin,

Roop

2020

Preprint

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In this paper, we study non-stationary filtration of real gases in porous media. Thermodynamic state of the medium is given by van der Waals state equations. Solutions for non-stationary filtration equation are obtained by means of finite dimensional dynamics. The analysis of phase transitions along the flow in case of isentropic and isenthalpic processes is presented as well as singular properties of solutions obtained are discussed. Domains in the jet space where the dynamics found is an attractor are shown.

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Critical Phenomena in Darcy and Euler Flows of Real Gases

Lychagin

Roop

2020

Differential Geometry, Differential Equations, and Mathematical Physics

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Mathematical modeling of gas-condensate mixture filtration in porous media taking into account non-equilibrium of phase transitions

Cited by 6 publications

References 2 publications

3D model and numerical algorithm for gas filtration in porous media

3D model and numerical algorithm for gas filtration in porous media

Critical phenomena and singular solutions in non-stationary filtration of real gases

Critical Phenomena in Darcy and Euler Flows of Real Gases

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