Mathematical model for heat transfer during underground coal gasification process
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- Category: Content №5 2024
- Last Updated on 29 October 2024
- Published on 30 November -0001
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Authors:
P.B.Saik*, orcid.org/0000-0001-7758-1083, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
M.H.Berdnyk, orcid.org/0000-0003-4894-8995, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2024, (5): 019 - 024
https://doi.org/10.33271/nvngu/2024-5/019
Abstract:
Purpose. To develop a mathematical model of the “coal-gas” medium heat transfer during underground coal gasification to predict the combustion face advance velocity and the duration of gasification column mining.
Methodology. To detect the temperature fields in the coal seam and gas, depending on the displacement length of the phase transition boundary, a boundary-value problem of mathematical physics has been developed. To solve this boundary-value problem, Boltzmann transformations, as well as methods for solving ordinary differential equations, are used. Newton-Raphson method, which has quadratic convergence, is used to find the roots of the transcendental equation.
Findings. Tendencies in the formation of mathematical models when studying temperature fields around an underground gasifier have been analyzed, with highlighting their disadvantages. A mathematical model of heat transfer during underground gasification has been developed, taking into account the phase transition boundaries of the “coal-gas” medium. A computational experiment was conducted to determine the temperature of the phase transition boundary based on the length of the gasification column and the duration of the process.
Originality. A mathematical model for heat transfer during coal gasification in the form of a boundary-value problem of mathematical physics, which consists of parabolic heat-transfer equations, the Stefan condition at the phase transition boundary, and the Dirichlet boundary conditions, has been constructed. As a result of solving the boundary-value problem, a self-similar solution has been obtained for the distribution of the coal seam and gas temperature fields, as well as the position of the phase transition boundary depending on the gasification duration and on the medium density, thermal conductivity coefficients, specific heat capacity of gas and coal, specific calorific value and temperature of coal combustion, initial coal temperature and constant temperature of the gasification process. The conducted analysis of numerical calculations provides a deeper understanding of the dynamics of underground coal gasification process and makes necessary corrections to achieve the maximum process efficiency.
Practical value. A methodology for determining the displacement length of the phase transition boundary of the “coal-gas” medium has been developed, taking into account the change in the combustion face temperature along the gasification zone length depending on the duration of this process. Application of the methodology makes it possible to predict the time of mining the gasified coal column for drawing up a calendar plan for mining operations.
Keywords: underground gasification, mathematical model, coal, gas, phase transition, Stefan conditions
References.
1. Rosen, M. A., Reddy, B. V., & Self, S. J. (2018). Underground coal gasification (UCG) modeling and analysis. Underground Coal Gasification and Combustion, 329-362. https://doi.org/10.1016/b978-0-08-100313-8.00011-6
2. Burton, E., Upadhye, R., & Friedmann, S. (2019). Best Practices in Underground Coal Gasification. Office of Scientific and Technical Information (OSTI), 1580018. https://doi.org/10.2172/1580018.
3. Camp, D. (2017). A Review of Underground Coal Gasification Research and Development in the United States. Office of Scientific and Technical Information (OSTI), 1368032. https://doi.org/10.2172/1368032.
4. Zou, C., Chen, Y., Kong, L., Sun, F., Chen, S., & Dong, Z. (2019). Underground coal gasification and its strategic significance to the development of natural gas industry in China. Petroleum Exploration and Development, 46(2), 205-215. https://doi.org/10.1016/s1876-3804(19)60002-9.
5. Kenzhaliyev, B. K., Abikak, Y. B., Gladyshev, S. V., Manapova, A. I., & Imangaliyeva, L. M. (2024). Destruction of mineral components of red mud during hydrothermal extraction of scandium. Engineering Journal of Satbayev University, 146(2), 9-17. https://doi.org/10.51301/ejsu.2024.i2.0.
6. Bazaluk, O., Lozynskyi, V., Falshtynskyi, V., Saik, P., Dychkovskyi, R., & Cabana, E. (2021). Experimental Studies of the Effect of Design and Technological Solutions on the Intensification of an Underground Coal Gasification Process. Energies, 14(14), 4369. https://doi.org/10.3390/en14144369.
7. Shahbazi, M., Najafi, M., & Marji, M. F. (2018). On the mitigating environmental aspects of a vertical well in underground coal gasification method. Mitigation and Adaptation Strategies for Global Change, 24(3), 373-398. https://doi.org/10.1007/s11027-018-9816-x.
8. Xiao, Y., Yin, J., Hu, Y., Wang, J., Yin, H., & Qi, H. (2019). Monitoring and Control in Underground Coal Gasification: Current Research Status and Future Perspective. Sustainability, 11(1), 217. https://doi.org/10.3390/su11010217.
9. Mandal, R., & Maity, T. (2023). Operational process parameters of underground coal gasification technique and its control. Journal of Process Control, (129), 103031. https://doi.org/10.1016/j.jprocont.2023.103031.
10. Bazaluk, O., Ashcheulova, O., Mamaikin, O., Khorolskyi, A., Lozynskyi, V., & Saik, P. (2022). Innovative activities in the sphere of mining process management. Frontiers in Environmental Science, (10), 878977. https://doi.org/10.3389/fenvs.2022.878977.
11. Lozynskyi, V. (2023). Critical review of methods for intensifying the gas generation process in the reaction channel during underground coal gasification (UCG). Mining of Mineral Deposits, 17(3), 67-85. https://doi.org/10.33271/mining17.03.067.
12. Wachowicz, J., Łączny, J. M., Iwaszenko, S., Janoszek, T., & Cempa-Balewicz, M. (2015). Modelling of Underground Coal Gasification Process Using CFD Methods. Archives of Mining Sciences, 60(3), 663-676. https://doi.org/10.1515/amsc-2015-0043.
13. Lozynskyi, V., Falshtynskyi, V., Saik, P., Dychkovskyi, R., Zhautikov, B., & Cabana, E. (2022). Use of magnetic fields for intensification of coal gasification process. Rudarsko-geološko-Naftni Zbornik, 37(5), 61-74. https://doi.org/10.17794/rgn.2022.5.6.
14. Krasnovyd, S., Konchits, A., Shanina, B., Valakh, M., Yukhymchuk, V., Skoryk, M., Molchanov, O., & Kamchatny, O. (2023). Coal from the outburst hazardous mine seams: Spectroscopic study. Mining of Mineral Deposits, 17(1), 93-100. https://doi.org/10.33271/mining17.01.093.
15. Bazaluk, O., Sobolev, V., Molchanov, O., Burchak, O., Bezruchko, K., Holub, N., …, & Lozynskyi, V. (2024). Changes in the stability of coal microstructure under the influence of weak electromagnetic fields. Scientific Reports, 14, 1304. https://doi.org/10.1038/s41598-024-51575-w.
16. Sadovenko, I. A., & Inkin, A. V. (2018). Method for Stimulating Underground Coal Gasification. Journal of Mining Science, 54(3), 514-521. https://doi.org/10.1134/s1062739118033941.
17. Bondarenko, V., Tabachenko, M., & Wachowicz, J. (2010). Possibility of production complex of sufficient gasses in Ukraine. New Techniques and Technologies in Mining – Proceedings of the School of Underground Mining, 113-119. https://doi.org/10.1201/b11329-19.
18. Berdnyk, M. (2018). The Mathematic Model and Method for Solving the Dirichlet Heat-Exchange Problem for Empty Isotropic Rotary Body. Solid State Phenomena, 277, 168-177. https://doi.org/10.4028/www.scientific.net/ssp.277.168.
19. Porada, S., Czerski, G., Dziok, T., Grzywacz, P., & Makowska, D. (2015). Kinetics of steam gasification of bituminous coals in terms of their use for underground coal gasification. Fuel Processing Technology, 130, 282-291. https://doi.org/10.1016/j.fuproc.2014.10.015.
20. Zhang, H., Xiao, Y., Luo, G., Fang, C., Zou, R., Zhang, Y., Li, X., & Yao, H. (2024). Numerical simulation study on chemical ignition process of underground coal gasification. Energy, 298, 131350. https://doi.org/10.1016/j.energy.2024.131350.
21. Falshtynskyi, V. (2014). Some aspects of technological processes control of an in-situ gasifier during coal seam gasification. Progressive Technologies of Coal, Coalbed Methane, and Ores Mining, 109-112. https://doi.org/10.1201/b17547-20.
22. Buktukov, N. S., Gumennikov, E. S., & Mashataeva, G. A. (2019). In-situ gasification of steeply dipping coal beds with production hole making by supersonic hydraulic jets. Mining Informational and Analytical Bulletin, (9), 30-40. https://doi.org/10.25018/0236-1493-2019-09-0-30-40.
23. Yesmakhanova, L. N., Tulenbayev, M. S., Chernyavskaya, N. P., Beglerova, S. T., Kabanbayev, A. B., Abildayev, A. A., & Maussymbayeva, A. D. (2021). Simulating the coal dust combustion process with the use of the real process parameters. ARPN Journal of Engineering and Applied Sciences, 16(22), 2395-2407.
24. Gazaliyev, A. M., Portnov, V. S., Kamarov, R. K., Maussymbayeva, A. D., & Yurov, V. M. (2015). Geophysical research of areas with increased gas content of coal seams. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (6), 24-29.
25. Khan, M. M., Mmbaga, J. P., Shirazi, A. S., Trivedi, J., Liu, Q., & Gupta, R. (2015). Modelling underground coal gasification – a review. Energies, 8(11), 12603-12668. https://doi.org/10.3390/en81112331.
26. Kostúr, K., Laciak, M., & Durdan, M. (2018). Some influences of underground coal gasification on the environment. Sustainability, 10(5), 1512. https://doi.org/10.3390/su10051512.
27. Xin, L., Cheng, W., Xie, J., Liu, W., & Xu, M. (2019). Theoretical research on heat transfer law during underground coal gasification channel extension process. International Journal of Heat and Mass Transfer, 142, 118409. https://doi.org/10.1016/j.ijheatmasstransfer.2019.07.059.
28. Pivnyak, G., Dychkovskyi, R., Bobyliov, O., Cabana, E. C., & Smoliński, A. (2018). Mathematical and Geomechanical Model in Physical and Chemical Processes of Underground Coal Gasification. Solid State Phenomena, 277, 1-16. https://doi.org/10.4028/www.scientific.net/ssp.277.1.
29. Saik, P., & Berdnyk, M. (2022). Mathematical model and methods for solving heat-transfer problem during underground coal gasification. Mining of Mineral Deposits, 16(2), 87-94. https://doi.org/10.33271/mining16.02.087.
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