Zhevzhyk О.V., Potapchuk І.Yu., Yemelianenko V.І., Sekar M., Pertsevyi V.O. Mathematical modeling of the borehole heating process by means of axial plasmatron

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Parent Category: Geo-Technical Mechanics, 2022

Category: Geo-Technical Mechanics, 2022, Issue 160

Geoteh. meh. 2022, 160, 152-159

https://doi.org/10.15407/geotm2022.160.152

 

 MATHEMATICAL MODELING OF THE BOREHOLE HEATING PROCESS BY MEANS OF AXIAL PLASMATRON

¹Zhevzhyk О.V., ²Potapchuk І.Yu., ²YemelianenkoV.І., ³Sekar M., ¹Pertsevyi V.O.

¹Ukrainian State University of Science and Technologies,²Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine, ³Sathyabama Institute of Science and Technology

UDC 622.236.34

Language: English

Abstract. The article presents a mathematical model that allows determining the main parameters of the plasma-dynamic coolant jet in the process of thermal heating of the borehole inner surface. The mathematical model of low-temperature plasma motion along the wellbore consists of the k-ε turbulence model equations, the continuity and energy equations for the gas flow, and the non-stationary heat conduction equation for calculating the temperature of a cylindrical flange pipe, which models the rock mass around the borehole. The equations are written in a cylindrical coordinate system for the radial and longitudinal components of the velocity of a low-temperature plasma flow. The differential equations of the mathematical model were supplemented with the corresponding initial and boundary conditions. The initial conditions were the known gas temperatures in the borehole and the initial temperature of the cylindrical flange pipe. The boundary conditions, in addition to the corresponding relations for the turbulence model, were the known parameters of the plasma flow at the inlet to the cylindrical pipe and the conditions for stabilization of the flow at the outlet. No-slip conditions for the flow and boundary conditions of the third order for the energy equation and the heat equation were used on the fixed boundary of the flanged pipe. To calculate the equations of the mathematical model, the numerical finite element method was used. The adequacy of the model of the borehole heating process by the plasma flow was verified by comparing the numerical calculation with experimental data. Experimental data confirm the adequacy of the proposed mathematical model. The difference between numerical and experimental data does not exceed 4.1%. The proposed mathematical model can be used to calculate the temperature of the inner surface of the borehole before it is chipped during heating.
Keywords: mathematical model, borehole, low temperature plasma flow, pipe heating.

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About authors:

Zhevzhyk Oleksandr Vladyslavovych, Candidate of Technical Sciences (Ph.D), Associate Professor, Senior Researcher in Department of Vibropneumatic Transport Systems and Complexes, Ukrainian State University of Science and Technologies (USUST), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Potapchuk Iryna Yuriivna, Candidate of Technical Sciences (Ph.D.), Researcher in Department of Vibropneumatic Transport Systems and Complexes, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine (IGTM NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Yemelianenko Volodymyr Ivanovych, Candidate of Technical Sciences (Ph.D.), Associate Professor, Senior Researcher in Department of Vibropneumatic Transport Systems and Complexes, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine (IGTM NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Sekar Manigandan, Candidate of Technical Sciences (Ph.D.), Department of Aerospace Engineering, Sathyabama Institute of Science and Technology, Chennai, India, This email address is being protected from spambots. You need JavaScript enabled to view it.

Pertsevyi Vitalii Oleksandrovych, Candidate of Technical Sciences (Ph.D.), Associate Professor, Senior Researcher in Department of Vibropneumatic Transport Systems and Complexes, Ukrainian State University of Science and Technologies (USUST), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

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