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The article discusses a mathematical model of the electrothermal process of heating the formation with a microwave electromagnetic wave, which is caused by electrical devices capable of operating under high pressure. The issues of using microwave dielectric heating to reduce the viscosity of oil-bearing deposits, which will increase the efficiency of their production, are considered. The article presents an in-depth analysis of various existing and promising methods of ensuring the production of high-viscosity oil and shows the advantages of the thermal method, and on the basis of calculations using mathematical and computer models-the prospects for using microwave radiation. Models of the electromagnetic field are shown that provide uniform heating of the sediment to a sufficient depth. The results of the work create and substantiate the basis for the development of a new technology for thermal increase in the efficiency of oil production, primarily in combined oil fields and northern regions, which are characterized by high oil viscosity.

Relevance The paper proposes an original design of a high-voltage electromechanical two-spiral voltage source based on a magnetic accumulation generator (MAG) and a voltage multiplier with improved characteristics. In the multiplier, with the help of special switches, the addition of all voltages arising from the electrical explosion of conductors in separate inductive energy storage devices connected in parallel to the magnetic accumulation generator is carried out. A mathematical model and the results of mathematical modeling of the operation of the voltage source are presented, the calculated ratios will find application for practical use. In the course of the work, methods of the theory of electric circuits, magnetic field, elements of mathematical analysis and the theory of electrical oscillatory processes (beating, resonance, etc.) in complex circuits were used. As a result, a ratio is obtained that determines the maximum value of the beat frequency between two electrical circuits connected by a weak capacitive coupling, creating a magnetic accumulation generator with high microwave radiation and with the possibility of its regulation. The results of the work will be used in power engineering (an ice control unit, a shunt reactor to increase the power factor, etc.), mechanical engineering, medicine (cardiology), military equipment, etc. In the future, it is planned to use the obtained results of work in the direction of studying the use of a pulsed electromagnetic field for dewatering and desalting oil, which will lead to an increase in the efficiency of existing installations in practice. Aims of research Development of the design of a high-voltage electromechanical two-spiral voltage source based on a magnetic accumulation generator and a voltage multiplier with improved characteristics, theoretical and experimental studies with subsequent conclusions and recommendations. Studies of the proposed double-spiral MAG and the development of an event for its further practical application. Research methods Methods of mathematical modeling, research and testing of high voltage equipment. Results A pilot design of a high-voltage electromechanical two-spiral voltage source based on a magnetic accumulation generator and a voltage multiplier with improved characteristics is proposed, calculated ratios with experimental research and proposals for implementation in individual industries and testing laboratories are obtained on the basis of the created mathematical model. Keywords: magnetic accumulation generator, multiplier, electric explosion, simulation, liner, double-spiral solenoid, oscillatory process