The article is devoted to solving the problem of designing a distributed control system for a network of production wells on the example of mineral water deposits in the Caucasus Mineral Waters region, Russia. The purpose was to determine the set of parameters of the control system to ensure technologically effective and safe operating modes of mineral water deposits. A mathematical model of the deposit was developed taking into account the given configuration and production rate of the network of the wells. The detailed algorithm is presented for designing the control system under consideration based on the frequency concept of analysis and synthesis for distributed control systems. The experimental tests and model validation were performed at the production wells facility of “Narzan”, Kislovodsk, Russia. The results of modeling and field experiments confirmed the adequacy of the mathematical model and the effectiveness of the proposed algorithm. The authors came to the conclusion that the adapted mathematical model can be used to create a regional automated field cluster management system for monitoring, operational management and forecasting the nature of real hydrogeological processes and ensuring their stability.

In this study, the authors explored the issues of the Soderbergh electrolysis cell’s increase in economic efficiency. This result was achieved by analyzing the temperature fields of the electrolysis cell in order to determine the overheating points. As a result, it led to the determination of the points of the hearth bottom’s subsequent breakdown, causing the failure of the electrolysis cell. In this paper, the mathematical modeling of the temperature fields using a spatially distributed mathematical model and conducted experimental studies were carried out. The mathematical model also provides the opportunity to measure the temperature field in the hearth bottom (at the bottom) of the OA-300M electrolysis cell. The results of the given research can be used to solve the experimental determination of the hearth bottom internal defect problem.

Using methods developed for systems with distributed parameters allows us to optimize processes of hydromineral raw materials production in practice. In accordance with the theory of distributed systems, formation of control actions on each well of a complex of production wells requires taking into account a state of the entire complex of wells, which ensures better dynamics and accuracy of a control process. The methodology of constructing distributed control systems for controlling the entire complex of wells involves the use of dynamic and static characteristics of an exploited aquifer. In this connection, a problem of mathematical description (identification) of the processes under consideration arises, which can be realized, for example, using the methods and formulas of Theis-Jacob. Using the Theis-Jacob formulas for the identification of the processes under consideration assumes an availability of information about parameters of hydrolytosphere processes (piezoelectric conductivity, overflow coefficients, etc.). The calculation of the considered parameters is a rather laborious task. The article proposes a methodology for constructing approximation models of the processes under consideration based on experimental studies using 2 wells of a field. Based on the obtained approximation model, a synthesis of the system for the hydrolytosphere processes parameters control was implemented.

Digitalization and automation of technological processes are two of the leading trends in the development of information technology. The industrial Internet of Things (IOT) is the future of every field with complex and multicomponent technological processes. The possibility of full automation implies the interaction of a large number of different technologies and methods, one of which is mathematical modeling. The mathematical model allows formalizing the representation of any object, which is essential in the development of control systems. One of the most effective options for using this method is the mathematical description of natural objects. An important feature is that with the use of mathematics, it is possible to describe not only the geometric parameters of the object but also the dynamics of changes in the parameters of the object with respect to the input influences. This paper proposes to develop a conceptual model of an oil field that can reflect and predict changes in the reservoir under the conditions of changes in the parameters of the field operation mode. The study presents the process of determining and selecting the most significant parameters for modeling and presents a draft mathematical model of the oil field as a system of equations for the most significant parameters of the oil field.

Oil is one of the main resources used by all countries in the world. The ever-growing demand for oil and oil products forces oil companies to increase production and refining. In order to increase net profit, oil producing companies are constantly upgrading equipment, improving oil production technologies, and preparing oil for further processing. When considering the elements of primary oil refining in difficult conditions, such as hard-to-reach or in remote locations, developers face strict limitations in energy resources and dimensions. Therefore, the use of traditional systems causes a number of difficulties, significantly reducing production efficiency. In this study, the authors solve the problem of improving the characteristics of the oil separation process. In their work, the authors analyzed the separation columns of primary oil distillation, identified the shortcomings of the technological process, and searched for technological solutions. Having identified the lack of technical solutions for monitoring the state of the temperature field of the separation column, the authors developed their own hardware–software complex for monitoring the separation column (RF patents No. 2020665473, No. 2021662752 were received). The complex was tested and successfully implemented into production. The study provides an assessment of the economic efficiency of implementation for a year and a forecast of the economic effect for 10 years.

In recent times, gas is becoming one of the most significant resources utilised worldwide. The continuous increase in demand requires an increase in the production and preparation of gas for further utilisation. Conventional sources cannot satisfy this need, so it is necessary to resort to alternative methods of obtaining raw materials; one of the most promising is the development of unconventional reservoirs. The study considers a structurally complex gas-bearing reservoir; due to the peculiarities of the structure, the use of traditional approaches to gas production causes a number of difficulties and significantly reduces efficiency. A structurally inhomogeneous reservoir is considered a distributed object; a pressure field control system is synthesised. As a result, the efficiency of the system is evaluated, and its scalability is analysed.