MODELING AND OPTIMIZATION OF OIL PRODUCTION PROCESSES FOR REGULATION OF OIL WELL FUND
Orazbayev B.B. Zhiyenbek A.O. Uskenbayeva G.A. Abdugulova Z.K. Rzayeva L.G.
2024National Academy of Sciences of the Republic of Kazakhstan
News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences
2024#2024Issue 3205 - 218 pp.
The issues of development of mathematical models and optimization based on the modeling of oil production processes by forecasting and regulating the stock of oil wells have been studied. A technique for developing mathematical models and modeling and optimizing the stock of oil wells based on the Markov chain is proposed and described. The proposed methodology is implemented to analyze the state of operation of the well stock at the studied Kenkiyak field. An approach is proposed for formalizing and obtaining a correct mathematical formulation of the problem of multi-criteria optimization of field development and oil production processes in a fuzzy environment by adapting various optimality principles. Based on the modification of the Pareto optimality principle, a heuristic method for optimizing oil production processes has been developed based on models that describe the processes occurring in oil wells. In the paper, the processes of transition of the well stock from one category to another, for example, from active to idle, characterized with different intensity, are described by the Markov chain theory based on differential equations for the probabilities of wells being in certain categories. Such processes of transition of the well stock from one category to another are analyzed on the example of the operation data of the stock of operating and idle wells of the Kenkiyak field for the study period. On the basis of the general scheme for writing the equations of Markov processes and taking into account the peculiarities of the operation of the operating fund, a system of differential equations is obtained, which is a mathematical model that allows predicting and regulating the fund of oil wells. The scheme of using the developed model based on the Markov chain for modeling, forecasting and regulation of the well stock is described. Graphs of the dynamics of the well stock are constructed based on the data of the studied field and the actual and estimated number of wells of the operating and idle stock of oil wells are compared.
heuristic method , Markov chains , mathematical model , oil well fund , optimization
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Department of System Analysis and Control, Gumilyov Eurasian National University, Pushkin St., 11, Astana, Kazakhstan
Department of Intelligent Systems and Cybersecurity, Astana IT University, Mangilik El avenue, 55/11, Astana, Kazakhstan
Department of System Analysis and Control
Department of Intelligent Systems and Cybersecurity
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