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

Normakhmad Ravshanov,Zafar Abdullaev,Sabur Aminov,Otabek Khafizov,D Bazarov

doi:10.1051/e3sconf/202126401018

Abstract

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.

Highlights

Special attention is paid worldwide to meet the growing demand for petroleum products
The basic issues in research of the mechanisms of fluid filtration, the transfer of suspended particles of suspension in porous media, the interaction of these particles with the surface of the skeleton of a porous medium are the construction of mathematical models of nonlinear anomalous processes of fluid and gas filtration, and their numerical study, which is an important aspect in the theory of filtration
It should be noted that significant results were obtained in the field of mathematical modeling of filtration and transfer of substances, inhomogeneous fluids in porous media

Summary

Introduction

Special attention is paid worldwide to meet the growing demand for petroleum products. Models of filtration of inhomogeneous liquid in porous media and methods of their numerical study serve as a theoretical basis for developing and improving the efficiency of oil and gas production, design and control of complex technological processes, and protection of groundwater from pollution, etc. The development of adequate mathematical models of filtration of inhomogeneous liquid and transfer of substances in porous media is one of the urgent problems of fluid and gas mechanics. It should be noted that significant results were obtained in the field of mathematical modeling of filtration and transfer of substances, inhomogeneous fluids in porous media. An analysis of research articles and literary sources devoted to mass transfer problems in gas-dynamic and filtration processes shows that significant results of a theoretical and practical nature have been obtained in the past 10 years The basic issues in research of the mechanisms of fluid filtration, the transfer of suspended particles of suspension in porous media, the interaction of these particles with the surface of the skeleton of a porous medium are the construction of mathematical models of nonlinear anomalous processes of fluid and gas filtration, and their numerical study, which is an important aspect in the theory of filtration.

Methods

Results

Conclusion