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Öğe Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functions(Karaganda State Univ, 2023) Sinsoysal, B.; Rasulov, M.; Iskenderova, R.A new numerical method is proposed for solving the generalized Buckley-Leverett problem, which describes the movement of two-phase mixtures of Bazhenov bed sediments in a class of discontinuous functions. To this end, we introduce an auxiliary problem that has advantages over the main problem, and using these advantages, an original finite difference method to solve of the auxiliary problem is developed. Using the suggested auxiliary problem, a solution which expresses exactly all physical characteristics of the problem is obtained.Öğe Numerical Solution of a Hydrodynamics Problem with a Nonlinear Source Function in a Class of Discontinuous Functions(American Institute of Physics Inc., 2024) Sinsoysal, B.; Rasulov, M.; Iskenderova, R.In this paper, a new numerical method is proposed for solving the generalized Buckley-Leverett problem, which describes the movement of two-phase mixtures in Bazhenov bed sediments in a class of discontinuous functions. For this aim, an auxiliary problem that has some advantages over the main problem and is equivalent to the main problem in a definite sense is introduced. By developing an original finite difference method obtained via advantages of the auxiliary problem, it is proposed that the efficient and economical numerical algorithms from a computer point of view for finding the weak solution of the main problem. In addition to these, the auxiliary problem also allows us to obtain the weak solution in a class of discontinuous functions, which accurately describes all physical properties of the problem.Öğe Study of the heat?mass transfer process considering the well?reservoir system in fractured reservoirs(Geology and Geophysics Institute at Azerbaijan National Academy of Sciences (ANAS), 2023) Jalalov, G.; Rasulov, M.; Sinsoysal, BahaddinThe theoretical study of oil field development processes and the creation of adequate technological schemes, taking into account the possible compound physical processes occurring in the field to ensure optimal exploitation of deposits, highlight the necessity of a complex scientific approach. Besides the geological-geophysical data required for the creation of technological schemes, obtaining the physical data of the deposit is one of the important factors. Obviously, much of these data come from wells drilled into the reservoir. The most important aspect of these studies is the investigation of the mass exchange and phase transition mechanisms of hydrocarbons, taking into account the pressure and temperature changes in the reservoir and the well during liquid filtration. In this paper, the effect of pressure and temperature changes during the processing of hydrocarbon deposits on exploitation indicators is examined by considering the well-reservoir system.