- Abstract:
- A methodology for digital modeling of transient rock mass failure processes is proposed. It is intended to describe not only attainment of a limit state, but also the subsequent spatiotemporal kinetics of localization, fragmentation, and transport of failed material. The methodological framework includes the internal variable F characterizing the stage of transient failure, the generalized parameter Ψ of the failure-inducing action, the critical action parameter Ψc, the normalized action parameter Ψ/Ψc, an active-zone growth law, and mechanisms accounting for depletion of the available energy or structural resource. The physical meaning of the action parameter is specified separately for gas-mechanical, gravity-shear, and blasting processes, whereas the common structure remains “action parameter - critical value - growth - depletion”. A modified smoothed particle hydrodynamics method is considered for numerical implementation. It enables large deformations, free-surface formation, and fragmentation to be traced without prescribing the failure geometry a priori. The relation of F to degradation of stiffness, strength, and permeability is formulated. The need to control the Courant condition, smoothing length, artificial viscosity, contact parameters, and energy balance is demonstrated. Coupling of the geomechanical model with the gas balance of a mining panel and with a through calculation of blasting is considered separately. The methodology is intended for scenario-based assessment of coal-and-gas outburst hazard, rock mass stability, and consequences of dynamic action in solid mineral extraction.
- Keywords:
- geomechanics, rock mass, transient failure, digital modeling, internal variable, active zone, smoothed particle hydrodynamics, gas release, methane transport, blasting action
- For citation:
- Kubrin S.S., Shipovskii I.E. Methodology for digital modeling of transient rock mass failure processes. Mine Surveying and Subsurface Use. 2026; 26 (3): 80-85. (In Russ.). https://doi.org/10.56195/20793332-2026-26-3-80-85.
- Information about the authors:
-
- Sergey S. Kubrin – Dr. Sci. (Eng.), Professor, Chief Researcher, Head of the Laboratory of Mining and Technological Risks in the Development of Gas-Bearing Coal and Ore Deposits, Academic Secretary, Institute of Comprehensive Exploitation of Mineral Resources Russian Academy of Sciences (ICEMR RAS), Moscow, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
- Ivan E. Shipovskii – Cand. Sci. (Eng.), Senior Researcher, Laboratory of Multiphase Processes in Rock Masses during Deposit Development, Institute of Comprehensive Exploitation of Mineral Resources Russian Academy of Sciences (ICEMR RAS), Moscow, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
- References:
-
- 1. Lin Q., Cao R., Meng J. Recent Advances in Rock Mass Engineering. Applied Sciences. 2025; 15 (23): 12752. https://doi.org/10.3390/app152312752.
- 2. Xie S., Li J., Wang S., et al. An experimental investigation on the dynamic shear characteristics of wet joints. International Journal of Rock Mechanics and Mining Sciences. 2025; 194: 106193. https://doi.org/10.1016/j.ijrmms.2025.106193.
- 3. Lin Q., Zhang S., Lin H., et al. Failure behavior of jointed rock masses containing a circular hole under compressive-shear load: Insights from DIC technique. Theoretical and Applied Fracture Mechanics. 2025; 139: 105089. https://doi.org/10.1016/j.tafmec.2025.105089.
- 4. Ma Q., Liu X., Tan Y., et al. Experimental study of loading system stiffness effects on mechanical characteristics and kinetic energy calculation of coal specimens. Rock Mechanics and Rock Engineering. 2024; 57: 9941-9957. https://doi.org/10.1007/s00603-024-04054-7.
- 5. Xue H., Wang Y., Yang W., et al. Experimental and numerical study of damage evolution and fracture characteristics of three-layer composite rocks under dynamic loading. Applied Sciences. 2025; 15: 10369. https://doi.org/10.3390/app151910369.
- 6. Tang Q., Xie W., Jing S., et al. Experimental and numerical investigation on the mechanical behavior of rock-like material with complex discrete joints. Rock Mechanics and Rock Engineering. 2024; 57: 4493-4511. https://doi.org/10.1007/s00603-024-03784-y.
- 7. Fu Q., Yang J., Gao Y., et al. Combined blasting for protection of gob-side roadway with thick and hard roof. Journal of Rock Mechanics and Geotechnical Engineering. 2024; 16: 3165-3180. https://doi.org/10.1016/j.jrmge.2023.11.027.
- 8. Lama R. D., Bodziony J. Management of outburst in underground coal mines. International Journal of Coal Geology. 1998; 35 (1-4): 83-115. https://doi.org/10.1016/S0166-5162(97)00037-2.
- 9. Paterson L. A model for outbursts in coal. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts. 1986; 23 (4):327-332. https://doi.org/10.1016/0148-9062(86)90644-3.
- 10. Otuonye F., Sheng J. A numerical simulation of gas flow during coal/gas outbursts. Geotechnical and Geological Engineering. 1994; 12: 15-34. https://doi.org/10.1007/BF00425934.
- 11. Odintsev V. N. Sudden outburst of coal and gas - failure of natural coal as a solution of methane in a solid substance. Journal of Mining Science. 1997; 33 (6): 508-516. https://doi.org/10.1007/BF02765629.
- 12. Valliappan S., Zhang W. H. Role of gas energy during coal outbursts. International Journal for Numerical Methods in Engineering. 1999; 44 (7):875-895.
- 13. Xu T., Tang C. A., Yang T. H., et al. Numerical investigation of coal and gas outbursts in underground collieries. International Journal of Rock Mechanics and Mining Sciences. 2006; 43 (6): 905-919. https://doi.org/10.1016/j.ijrmms.2006.01.001.
- 14. Wold M. B., Connell L. D., Choi S. K. The role of spatial variability in coal seam parameters on gas outburst behaviour during coal mining. International Journal of Coal Geology. 2008; 75 (1): 1-14. https://doi.org/10.1016/j.coal.2008.01.006.
- 15. Lee E. L., Tarver C. M. Phenomenological model of shock initiation in heterogeneous explosives. Physics of Fluids. 1980; 23 (12): 2362-2372. https://doi.org/10.1063/1.862940.
- 16. Monaghan J. J. Smoothed particle hydrodynamics. Reports on Progress in Physics. 2005; 68 (8): 1703-1759. https://doi.org/10.1088/0034-4885/68/8/R01.
- 17. Малинникова О. Н., Трофимов В. А., Шиповский И. Е. Метод сглаженных частиц в моделировании разрушения и обрушения кровли выработки. Горный информационно-аналитический бюллетень. 2018; S49: 464-475. https://doi.org/10.25018/0236-1493-2018-11-49-464-475. Malinnikova O. N., Trofimov V. A., Shipovskii I. E. Smoothed particle hydrodynamics in modeling failure and roof caving in a mine working. Mining Informational and Analytical Bulletin. 2018; S49: 464–475. (In Russ.). https://doi.org/10.25018/0236-1493-2018-11-49-464-475.
- 18. Говорухин Ю. М., Кубрин С. С. О значениях коэффициентов аэродинамических сопротивлений трения горных выработок больших поперечных сечений. Известия Тульского государственного университета. Науки о Земле. 2024; 2: 425-439. Govorukhin Yu. M., Kubrin S. S. On the values of aerodynamic friction resistance coefficients for mine workings with large cross-sections. Izvestiya Tula State University. Earth Sciences. 2024; 2: 425-439. (In Russ.).
- 19. Говорухин Ю. М., Кубрин С. С. О проницаемости обрушенных и дезинтегрированных пород в выработанном пространстве выемочных участков при высокоинтенсивной отработке пластов угля. Вестник Научного центра ВостНИИ по промышленной и экологической безопасности. 2025; 1: 5-20. https://doi.org/10.25558/VOSTNII.2025.86.87.001. Govorukhin Yu. M., Kubrin S. S. On the permeability of caved and disintegrated rocks in the goaf of extraction panels during high-intensity coal seam mining. Bulletin of the Scientific Center of VostNII for Industrial and Environmental Safety. 2025; 1: 5-20. (In Russ.). https://doi.org/10.25558/ VOSTNII.2025.86.87.001.
- 20. Одинцев В. Н., Шиповский И. Е. Моделирование влияния взрывного воздействия на газодинамическое состояние пачки выбросоопасного угля. Физико-технические проблемы разработки полезных ископаемых. 2019; 4: 46-57. https://doi.org/10.15372/FTPRPI20190406. Odintsev V. N., Shipovskii I. E. Modeling the effect of blasting on the gas-dynamic state of an outburst-prone coal band. Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh. 2019; 4: 46-57. (In Russ.). https://doi.org/10.15372/FTPRPI20190406.