Abstract
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. Approximate Numerical 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.
Highlights
Oil and gas deposits are confined to formation water-drive systems
The features of the geological structure of the water-bearing stratum, the change in the area of collecting properties, the presence both catchment area and discharge area has a significant effect on the degree of manifestation of the water-drive regime
Nurgul Shazhdekeyeva, et al - Numerical methods for solving improper problems of filtration theory the actual distribution of the filtration parameter bф(x, y), which predetermined the observed values of pressures and filtration parameters at different points in the water-bearing stratum and the established configuration of the gas deposit
Summary
Oil and gas deposits are confined to formation water-drive systems. In this case, a natural filtrational flow of water usually takes place. Nurgul Shazhdekeyeva, et al - Numerical methods for solving improper problems of filtration theory the actual distribution of the filtration parameter bф(x, y), which predetermined the observed values of pressures and filtration parameters at different points in the water-bearing stratum and the established configuration of the gas deposit. Actual information on changes during the last period of development of well flow rate, formation pressure in them, and coefficients of gas, oil, and water saturation of the formation in separate operational and observing wells is used In this case, for example, the problem of identifying of the filtration-capacitive parameters (J) of a formation reduces to the task of minimizing of some objective functional of the form:. Filtration theory have been created, which on an impartial basis allow refining the collecting properties of the pro-
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