Geodesic
Synthesis of pressure control laws at wells to optimize gas condensate mining
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 1, pp. 79-90 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is devoted to the problem of optimizing gas condensate mining in the process of developing a given number of wells in a field. The essence of the problem is such a distribution of control actions, which are wells pressures, at which, for a given fixed rate of gas mixture mining, maximum gas condensate extraction is ensured at a certain planning horizon. A formalized formulation of the problem is carried out and it is shown that it reduces to a nonlinear programming problem with essentially nonlinear objective function and constraints. Two different approaches to finding the optimal solution are proposed. The first of them is based on solving the original optimization problem, and the second one — on simplifying it in order to reduce the computational costs of finding a solution. A numerical example of gas condensate mining for five wells is presented and a comparison of the obtained modeling results for these two algorithms is performed.
Keywords: digital control, optimization, gas condensate mining, nonlinear programming. 
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     title = {Synthesis of pressure control laws at wells to optimize gas condensate mining},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
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M. V. Korovkin; M. V. Sotnikova; N. A. Zhabko; T. A. Lepikhin; R. A. Sevostyanov; V. M. Babin; A. A. Gimazov. Synthesis of pressure control laws at wells to optimize gas condensate mining. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 1, pp. 79-90. http://geodesic.mathdoc.fr/item/VSPUI_2024_20_1_a6/

[1] Sotnikova M. V., Sevostyanov R. A., “Optimal control of output variables within a given range based on a predictive model”, Communications in Computer and Information Science, 1661 (2022), 272–285 | DOI | MR

[2] Sotnikova M. V., Sevostyanov R. A., “Digital control of output variables in a given range considering delay”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 17:4 (2021), 449–463 | DOI | MR

[3] Yermolayev A. I., Nekrasov A. A., Trubacheva I. A., “Distribution of a given total gas extraction among wells of a gas-condensate deposit according to the criterion of minimum reservoir energy losses”, Science and Technology in the Gas Industry, 78:2 (2019), 57–67 (In Russian)

[4] Basniyev K. S., Dmitriyev N. M., Rozenberg G. D., Oil and gas fluid mechanics, Institute of computer research Publ., M.–Izhevsk, 2005, 544 pp. (In Russian) | MR

[5] Yermilov O. M., Remizov V. V., Shirkovskiy A. I., Chugunov L. S., Reservoir physics, extraction and underground storage of natural gas, Nauka Publ., M., 1996, 541 pp. (In Russian)