Mathematical model and numerical algorithms to analyze gas filtration process in a porous medium

Ravshanov, N.; Aminov, S. M.; Kravets, O Ja

doi:10.1088/1742-6596/1399/5/055036

Cited by 10 publications

(3 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, we restrict ourselves to deriving formulas for calculating the functional derivatives from dJ 2 according to required parameters. In obtaining expressions for the functional derivatives, use the technique given in [18][19][20][21][22][23][24].…”

Section: Derivation Of Expressions For Functional Derivativesmentioning

confidence: 99%

Numerical methods for solving improper problems of filtration theory

Shazhdekeyeva¹,

Kenzhegulov²,

Myrzasheva³

et al. 2021

J Appl Eng Science

View full text Add to dashboard Cite

This paper is devoted to the development and investigation of methods of mathematical and computer simulation of the process of fluid filtration in a porous medium. The methods of numerical solution of the problems of the filtration theory of build-up of conditions in the catchment and discharge areas boundaries, identification of filtration-capacitive parameters of the effective formation and determination of free (unknown) boundaries and creation of computational algorithms for analysis and forecast of technological indicators of oil and gas fields are considered. Methods and models of continuum mechanics, filtration theories, and methods for solving ill-defined problems, numerical modeling and computer programming were used. ApproxiNumericalmate methods for solving direct and inverse problems of filtration theory, mathematical models for single-phase isothermal filtration of a gas mixture in a horizontal formation at small concentration gradients of components, studying the properties of self-similar solutions, as well as numerical solving the problem of identifying the capacitive parameters of the water-bearing stratum.

show abstract

Section: Derivation Of Expressions For Functional Derivativesmentioning

confidence: 99%

Numerical methods for solving improper problems of filtration theory

Shazhdekeyeva¹,

Kenzhegulov²,

Myrzasheva³

et al. 2021

J Appl Eng Science

View full text Add to dashboard Cite

show abstract

“…The article [7] considers the problem of gas filtration in a porous medium using a mathematical model described by a nonlinear partial differential equation and the corresponding boundary and internal conditions. The authors present the main stages of constructing a mathematical model of the gas filtration process in porous media taking into account changes in hydrodynamic parameters.…”

Section: Introductionmentioning

confidence: 99%

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

Kurbonov¹

2022

Math. Model. Comput.

View full text Add to dashboard Cite

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.

show abstract

“…A mathematical model was developed in [5] for a comprehensive study of the process of gas filtration in a porous medium. The model was described by a nonlinear partial differential equation and the corresponding boundary and internal conditions.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of fluid filtration in three-layer interacting pressure porous formations

et al. 2021

View full text Add to dashboard Cite

A mathematical model was developed to numerically study the process of fluid and gas filtration in three-layer interacting pressure porous formations. It is based on the reviews related to the mathematical modeling developed in recent years; it describes a system of partial differential equations with boundary and initial conditions and a conservative numerical algorithm for conducting a computational experiment (CE) on a computer. In this article, to analyze and make managerial decisions, the results of numerical calculations are presented in the form of graphical objects, which can be used to propose schemes for the location and capacity of vertical drainage wells to protect irrigated and non-irrigated areas from flooding. Using the proposed mathematical tool, it is possible to obtain the predicted groundwater levels of any area for the required period of time, taking into account some factors, such as the inhomogeneity of the reservoir in a plan, the slope of the confining layer, and other hydrogeological, hydro-technical, and natural conditions, or to calculate the thickness and the optimal location of vertical drainage wells to protect the territory, and to develop oil and gas fields and increase their oil and gas recovery. Analysis of the results of a numerical study of the process made it possible to establish the degrees of influence of the elastic filtration regime in a weakly permeable layer on the overflow into adjacent layers.

show abstract

Mathematical model and numerical algorithms to analyze gas filtration process in a porous medium

Cited by 10 publications

References 5 publications

Numerical methods for solving improper problems of filtration theory

Numerical methods for solving improper problems of filtration theory

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

Numerical study of fluid filtration in three-layer interacting pressure porous formations

Contact Info

Product

Resources

About