The technological process of aluminium electrolysis is a complex scientific and technical task. This is due to a large number of internal, external and resultant factors. The aim of this work is to analyse these factors, assess them and their influence on the technological process of electrolysis and develop a comprehensive and mathematical model of aluminium production in the Soderberg electrolyser. The work analyses the technological process of primary aluminium production on the basis of the Bayer method and then on the basis of the Hall–Eru method. The existing methods and technologies for computer modelling of the technological process are analysed. The modern methods of analysis for thermal and electromagnetic fields in electrolysers are considered. On the basis of an in-depth analysis, a number of factors influencing the process of primary aluminium production are identified. Using the methods of system analysis to analyse the identified factors, a ranked list of factors according to the degree of influence is obtained. Using the Pareto diagram, we obtain a list of factors with maximum impact. A conceptual model of the technological process is derived. Based on the obtained conceptual model, the mathematical model of the technological process is derived. The conducted research may be useful to specialists in the field of metallurgy for the analysis of the technological processes of primary aluminium production.

This article presents the results of a numerical experiment and an analysis of temperature fields (coolers for gas) using cooling elements in the case study gas pipeline. An analysis of the temperature fields demonstrated several principles for the formation of a temperature field, which indicates the need to maintain a relative temperature for gas pumping. The essence of the experiment was to install an unlimited number of cooling elements on the gas pipeline. The purpose of this study was to determine at what distance it is possible to install cooling elements for the optimal gas pumping regime, regarding the synthesis of the control law and the determination of the optimal location and assessment of control error depending on the location of the cooling elements. The developed technique allows for the evaluation of the developed control system's regulation error.

The article is devoted to the problem of the growing need of the mineral water fields’ exploitation process automation. The implementation of control systems and mathematical modeling methods can significantly reduce the fields’ structural integrity violation and pollution of aquifers risks. This research is especially relevant for the fields with difficult conditions of mineral waters occurrence, since the insufficient accuracy of determining the fields’ operating mode parameters can lead to a severe incident. The article describes a distributed mathematical model developed from the geo-filtration equation. Based on this model, a new method for assessing the mutual influence of the fields, the production of which is carried out from one aquifer, is presented. For a more detailed study of the operating mode parameters influence on the object a physical model of the reservoir was developed. The using of Arduino sensors and the developed software allows us to construct a 3D graph of the input action and its response at the different points of the object as temperature distribution. The simulation results make it possible to use the proposed model for the automatic control system synthesis.

This work is aimed at developing methods for increasing the production of heavy crude oil while optimizing energy costs. Various methods have been studied for recovering heavy oil from deep reservoirs. Based on the developed methods, a number of dynamic models have been obtained that describe the behavior of the temperature field in the tubing. Estimations of thermal deformation are carried out. On the basis of dynamic models, fundamentally new devices are obtained and registered in the prescribed manner, providing a subsystem for automated process control systems.

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.

This article is devoted to the issue of digitalization of the field. The authors reviewed the existing methods of building digital systems and methods of production level estimation. On the basis of the method of expert evaluations, the conceptual and then mathematical model of the field is constructed. After that, the behavior of the field depending on the operating conditions was simulated with the help of a digital system design. Forecasting models for production levels are constructed. A distinctive feature of this study is the application of a digital system design to the oil and gas industry. The results demonstrated in this study have found their reflection in practical application in fields complicated by paraffin content. The authors described the idea of Random Forest which is to combine multiple trees to obtain an accurate result, each trained on a random dataset and selecting random subsets of parameters. The Random Forest model was imported from the sklearn library. The authors determined that the model mean square error and mean absolute error remained large for three wells: 15/9-F-11, 15/9-F-12, and 15/9-F-15 D. The presented studies are the final stage in the framework of the work carried out as a dissertation research at Empress Catherine II Saint Petersburg Mining University.