NUMERICAL SOLUTION OF A TWO-DIMENSIONAL PROBLEM OF FILTRATION OF HIGH-VISCOSITY OIL IN A RESERVOIR UNDER THERMAL INFLUENCE

Yu.A. Tazetdinova, B.I. Tazetdinov, A.A. Gizzatullina
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Abstract: Currently, the prospects for the development of the oil industry are the development of deposits of heavy oil and natural bitumen. Interest in such fields is associated with the constant increase in prices for raw hydrocarbons, the gradual depletion of traditional light oil reserves, as well as the development of technologies for developing non-traditional sources of hydrocarbon raw materials. The reserves of heavy and high-viscosity oils are several times higher than the reserves of light and low-viscosity oils and are the most important part of the raw material base of the oil industry. The future in the development of high-viscosity oil fields is inextricably linked with the use of thermal methods of influence, which are based on reducing the viscosity of oil, improving its mobility and speed of movement to the well. This is evidenced by the results of theoretical and experimental studies of the impact of heated steam or hot liquid on the bottom-hole zone of the well, and it is noted that the technology of developing the field with horizontal wells has proved to be the most effective. Thus, the justification of new technologies and methods for developing highviscosity oil fields is an urgent task for the oil industry. The purpose of this work is to theoretically and numerically study the possibility of developing an oil reservoir containing high-viscosity oil under thermal influence using a horizontal heating channel. This paper presents a mathematical model and numerical calculations of the problem of developing a reservoir with high-viscosity oil using the technology of paired horizontal wells. The resulting system of two-dimensional equations of filtration and heat conduction with prescribed boundary and initial conditions, the numerical solution is implemented using finite differences explicit scheme using the splitting patterns of two-dimensional equations to two-dimensional. The curved boundary (well) is approximated by a step line. The numerical implementation of the algorithm was performed using the Microsoft Visual Studio integrated development environment (C#).
Index terms: finite difference method, numerical modeling, high-viscosity oil, oil reservoir heating, oil filtration.

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