Abstract

Relevance The Russian fund of the oil producing wells as of 01.01.2021 amounted to more than 131 thousand units. Thus the most part of the specified fund is equipped with electrical submersible pumps (ESP) units, containing in their structure submersible electric motors (SEM). At present the following tendencies are manifested in the oil production industry: «... growth of environmental friendliness of oil and gas production and refining; growth of customer requirements to oilfield service technologies and operational efficiency, ..., sanctions on purchase of foreign equipment». As a result, work related to the energy efficiency of oil production and the increase in the time between repairs of the main equipment, including the submersible electric motor, is intensified. Here we should note the Order of Rosstandart 1397-st dated December 25, 2020 on the approval and introduction from October 1, 2021 of the actualized GOST R 56624 «Energy efficiency. Electrically driven submersible bladed pumps and electric motors for oil production. Determination of energy efficiency indicators». A significant place in solving the above problems is occupied by the issues of effective SEM management. The implementation of such an approach leads to a whole range of interrelated problems: building a mathematical model of the SEM itself; building a mathematical SEM as part of a complex technical system; identification of parameters of the mathematical model of SEM; design or selection of a method for extracting information from calculated or experimental data; optimization of SEM parameters to achieve the required energy efficiency indicators; construction of algorithms for optimal SEM control under non-stationary influences. Predictive control methods are of particular interest here. Hereinafter, the indicated range of problems will be referred to as «a complex of problems of constructing a digital twin of a SEM». An analysis of the above literature shows a discrepancy between the modern theory of SEM control as part of an ESP and approaches to the construction of mathematical models of the SEM itself used in control algorithms. What makes the actual task of developing a «digital twin of the SEM» with a given accuracy, minimal computational complexity, and, accordingly, minimal computation time and minimal resource intensity in hardware implementation. Aim of research Development of a methodology for constructing a digital twin of a submersible electric motor, based on the approaches of the design of experiment method. Research methods In this study, we used: a review of scientific and technical literature, analysis and generalization of information, a computational experiment, the use of design experiment methods, and other methods of statistical analysis, including Student’s t-test and Fisher's criterion. Results A technique for developing a digital twin of the SEM is proposed, which, with a given accuracy, has a minimum computational complexity. Using the example of modeling the SEM ED(T) 45-117-1000, the possibility of constructing a digital twin with a 2–8 times reduced number of computational operations is shown.

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