DOI: 10.5937/jaes0-27897
This is an open access article distributed under the CC BY 4.0
Volume 19 article 768 pages: 97 - 108
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 continum 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.
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