NUMERICAL SIMULATION OF FILTRATION PROCESSES OF STRONGLY POLLUTED OIL IN A POROUS MEDIUM

The work is devoted to solving the actual problem of forecasting the development of the oil and gas industry. The article discusses the non-stationary filtration process of highly contaminated oil in a heterogeneous porous medium in a two-dimensional formulation. A detailed analysis of scientific papers related to the problem of mathematical modeling of the filtering process of heavily contaminated oils in porous media is given. The arbitrariness of the field configuration and the variation of the reservoir parameters over the reservoir area, the unevenness of the location of oil wells in the oil-bearing area and their variability of flow rates, which are not limiting factors for the use of numerical modeling in the calculations of oil field development, are given. A mathematical model has been developed that takes into account such factors as the rate of sedimentation of fine particles, the change in the coefficients of porosity and filtering over time. The mathematical model is reduced to the joint solution of a system of differential equations of a parabolic type, describing filtration processes in seams separated by a low-permeable jumper under appropriate initial and boundary conditions. Computational experiments are given at different parameters of the reservoir and the costs of two production wells. Given the results of the developed software, which presents the results of the calculation of the main indicators of development of fields in tabular and graphical form. All results of computational experiments are presented in visual form.

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