Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science

NUMERICAL METHODS FOR SOLVing IMPROPER PROBLEMS OF FILTRATION THEORY

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

Nurgul Shazhdekeyeva*
Kh.Dosmukhamedov Atyrau University, Atyrau, Kazakhstan

Beket Kenzhegulov
Kh.Dosmukhamedov Atyrau University, Atyrau, Kazakhstan

Aigul Myrzasheva
Kh.Dosmukhamedov Atyrau University, Atyrau, Kazakhstan

Galymzhan Kabylkhamitov
Kh.Dosmukhamedov Atyrau University, Atyrau, Kazakhstan

Raigul Tuleuova
Kh.Dosmukhamedov Atyrau University, Atyrau, Kazakhstan

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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