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.
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.
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.
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