Makeiev S.Y, Kurnosov S., Pylypenko Yu., Ryzhov H., Kurdiumow D. Development of mathematical model and algorithm for calculating parameters of hydrodynamic intensification of gas release from boreholes
- Details
- Parent Category: Geo-Technical Mechanics, 2025
- Category: Geo-Technical Mechanics, 2025, Issue 173
Geotech. meh. 2025, 173, 88-100
DEVELOPMENT OF MATHEMATICAL MODEL AND ALGORITHM FOR CALCULATING PARAMETERS OF HYDRODYNAMIC INTENSIFICATION OF GAS RELEASE FROM BOREHOLES
2Kurdiumow D.
1M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine 2Company of Mining and High-Altitude Work “AMC”, Poland
UDC [622.279:622.245:532.5:624.131:004.942].001.24
Language: English
Abstract. The work validates a mathematical model for calculating parameters of the impulse impact on the bottomhole zone of a well through a liquid with different physicochemical properties to increase gas extraction from the rock mass. Existing calculation methods describing the hydrodynamics of the pulse propagation process in a liquid are described and analyzed. A mathematical model is proposed for calculating hydrodynamic processes occurring in a well during impulse impact, which includes quasi-linear hyperbolic-type gas dynamics equations with initial and boundary conditions. A distinctive feature of the model is the consideration of the oscillation source pulsations. A block diagram of the algorithm for calculating the hydrodynamic pulse parameters is presented. The linear flow of the liquid in the well between its bottomhole and the impulse source is considered. It was established that the key parameters significantly influencing the hydrodynamic processes in the well are its length, the pressure in the cavity of the oscillation source and the coordinate of its boundary, as well as the pressure at the bottom of the well. The dynamics of pressure profile distribution along the length of the well at different time points under varying initial parameters of the impulse impact was established. The dependences of the pressure in the oscillation source and at the bottomhole and the change in the coordinate of the boundary of the oscillation source cavity over time under different impulse impact modes were calculated and analyzed. The influence of the duration of the oscillation source impulse on the process parameters at different distances to the bottomhole was studied. It was established that the state of the bottomhole zone of the well for the purpose of gas extraction intensification can be effectively controlled both by adjusting the impulse impact parameters and by using various physicochemical compositions as the working liquid. Varying the liquid composition during the impulse impact leads to a change in the amplitude and time of impulse arrival at the bottomhole of the well.
The results of the research can be used to calculate hydrodynamic processes during impulse treatment of gas extraction wells in order to intensify gas release by changing impulse impact parameters and by using different physicochemical compositions as the working liquid.
Keywords: gas extraction well, gas release intensification, impulse impact, hydrodynamic processes.
REFERENCES
1. Krukovskaya, V.V. and Krukovskiy, D.A. (2017), “Method of calculation parameters of coupled processes of coal-rock massif deformation and methane filtration”, Geo-Technical Mechanics, vol. 133, pp. 123–135
2. Krukovska, V.V. and Krukovskyi, O.P. (2023), “Formation of the near-face stress field under the influence of natural and technological factors”, Geo-Technical Mechanics, vol. 165, pp. 97–116. https://doi.org/10.15407/geotm2023.165.097
3. Klets, A.P., Makeiev, S.Yu., Ivanov, V.P. and Makarenko, S.V. (2002), “Features of intensification of methane extraction by surface degassing borehole”, Geo-Technical Mechanics, vol. 37, pp. 93–96
4. Sofiyskyi, K.K., Prytula, D.O., Stasevych, R.K., Ahaiev, R.A. and Smirnov, O.P. (2020), “Principal possibility of using wave method of intensification of methane inflow through surface degassing boreholes”, Geo-Technical Mechanics, vol. 150, pp. 98–105. https://doi.org/10.15407/geotm2020.150.098
5. Zberovskyi, V., Vlasenko, V., Petukh, O., Kyrychenko, M., Zbierowski, P. and Kustra, A. (2024), “Hydroimpulse impact in the technological cycle of constructing preparatory drifts: evaluation and economic efficiency”, Geo-Technical Mechanics, vol. 168, pp. 17–24. https://doi.org/10.15407/geotm2024.168.017
6. Makeiev, S.Yu. and Andreiev, S.Yu. (2005), “Study of overcoming hydraulic resistance during methane extraction from a surface degassing borehole”, Geo-Technical Mechanics, vol. 54, pp. 37–41
7. Prytula, D.A., Agaiev, R.A., Sofiiskyi, K.K. and Novoseltsev, V.V. (2015), “Intensification of coalbed methane recovery by pneumohydrodynamic impact with use of carbonaceous agents”, Geo-Technical Mechanics, vol. 123, pp. 3–11. http://jnas.nbuv.gov.ua/article/UJRN-0000846425
8. Zberovskiy, V.V., Vasilyev, L.М., Zhulay, Yu.А., Polyakov, Yu.Ye., Narivskiy, R.N. and Pazynich A.V. (2016), “Development of method for calculating parameters of hydroimpulse machine operating in the prone-to-outburst coal seams”, Geo-Technical Mechanics, vol. 130, pp. 92–106
9. Barenblatt, G. I. and Zel’dovich, Ya. B. (1972), “Self-similar solutions as intermediate asymptotics”, Annual Rev. of Liquid Mech., vol. 4, pp. 285–312
10. Batchelor, G.K. (2000), Introduction to Liquid Dynamics, University Press, Cambridge, United Kingdom.
11. Dresner, L. (1983), Similarity Solutions of Nonlinear Partial Differential Equations, Pitman, Boston, USA
12. Sedov, L. I. (1988), Metody podobiya i razmernostey v mekhanike [Methods of similarity and dimensions in mechanics], Nauka, Moscow, USSR.
13. Brushlinsky, K. V. and Kazhdan, Ya. M. (1963), Ob avtomodel'nykh resheniyakh nekotorykh zadach gazovoy dinamiki [On self-similar solutions of some problems of gas dynamics], Nauka, Moscow, USSR.
14. Galiev, Sh.U. (1981), Dinamika gidrouprugoplastncheskikh sistem [Dynamics of hydroelastic-plastic systems], Naukova Dumka, Kyiv, Ukraine.
15. Atanov, G.A. (1979), Osnovy odnomernoy nestatsionarnoy gazodinamiki [Fundamentals of one-dimensional non-stationary gas dynamics], Vishcha shkola, Kyiv, Ukraine.
16. Cole, R.H. (1948), Underwater Explosions, Princeton University Press, Princeton, New Jersey, USA, available at: https://archive.org/details/underwaterexplos0000robe/page/n5/mode/2up (Accessed 30 March2025).
17. Sedov, L. I. (1976), Mekhanika sploshnoy sredy [Continuum Mechanics], Nauka, Moscow, USSR.
18. Godunov, S.K., Zbrodin, A.V., Ivanov, M.Ya., Kraiko, A.N. and Prokopov, G.P. (1976), Chislennoye resheniye mnogomernykh zadach gazovoy dinamiki [Numerical solution of multidimensional problems of gas dynamics], Nauka, Moscow, USSR.
19. Semko, A.N. (1976), Raschot ul'trastruy s otkolami [Calculation of ultrajets with spalls], Donetsk, Ukraine/
20. Ulanov, N.G. (1977), “Numerical solution of the problem of the impact of liquid jets with a non-flat head on an obstacle”, Works on Continuum Mechanics, vol. 1, pp. 68–72
21. Golovko, Yu.N. (1982), Chislennoye issledovaniye gidrodinamicheskikh protsessov pri podvodnykh iskrovykh razryadakh v ogranichennykh oblastyakh [Numerical study of hydrodynamic processes in underwater spark discharges in limited areas], IGTM, Dnepropetrovsk, USSR.
22. Murdin, P. (2008), Full Meridian of Glory: Perilous Adventures in the Competition to Measure the Earth, Copernicus, New York, USA. available at: https://doi.org/10.1007/978-0-387-75534-2 (Accessed 30 March2025).
About the authors:
Makeiev Serhii, Candidate of Technical Sciences (Ph.D), Senior Researcher, Senior Researcher in Department of Mineral Mining at Great Depths, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine This email address is being protected from spambots. You need JavaScript enabled to view it. .
Kurnosov Serhii, Doctor of Technical Sciences (D. Sc.), Senior Researcher, Senior Researcher in Department of Mineral Mining at Great Depths, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine This email address is being protected from spambots. You need JavaScript enabled to view it. (Corresponding author).
Pylypenko Yurii, Candidate of Technical Sciences (Ph.D), Senior Researcher, Senior Researcher in Department of Mineral Mining at Great Depths, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine This email address is being protected from spambots. You need JavaScript enabled to view it.
Ryzhov Hennadii, Junior Researcher in Department of Mineral Mining at Great Depths, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine This email address is being protected from spambots. You need JavaScript enabled to view it.
Kurdiumow Dmytro, Master of Engineering in Company of Mining and High-Altitude Work “AMC”, Wieliczka, Poland This email address is being protected from spambots. You need JavaScript enabled to view it. Scopus ID: 57209579187