Numerical simulation of quarry wall stability considering the fault location in the bottom part
Asangiz Moldabayev1, Dmytro Babets2, Serik Moldabayev1, Olena Sdvyzhkova2, Atac Bascetin3, Zhanat Sultanbekova1
1Satbayev University, Almaty, Kazakhstan
2Dnipro University of Technology, Dnipro, Ukraine
3Istanbul Technical University, Istanbul, Turkey
Min. miner. depos. 2026, 20(1):41-51
https://doi.org/10.33271/mining20.01.041
Full text (PDF)
      ABSTRACT
      Purpose. The research aims to assess the impact of geological disturbances located in the bottom part of the super-deep Kacharsky Ore Quarry on the stress-strain state (SSS) of its walls and to determine the safety factor of the walls, taking into account the complex geological situation.
      Methods. Fault plane modelling methodology is based on 3D finite-element analysis using the RS3 Rocscience software. Fault zone is represented by a medium with a system of fractures. Fracture characteristics, such as openness, contact filler type, and surface quality are achieved by selecting the normal and shear stiffness of the contact. The strength and deformation properties of rock inside the fault zone are defined by low geological index values (GSI = 20), corresponding to the “poor” quality mass according to the Hoek-Brown classification. The main mass outside the fault zone is represented by elastic-plastic medium, where the transition to inelastic deformation stage is determined by the Mohr-Coulomb failure criterion.
      Findings. FEM-analysis of the stress-strain state of the Kacharsky quarry walls at various stages of mining, taking into account faults in its bottom part, provides a safety factor (FoS) that is 28-30% lower than that obtained without considering the faults. Parametric analysis shows that for normal stiffness values of the fracture-filling material up to 2.5 GPa/m, the difference in the realized shear strains is most significant. When the Er index, which characterizes the ratio of material stiffness inside and outside the fault zone, decreases from Er = 0.2 to Er = 0.05, the maximum shear strains in the bottom part of the quarry increase from 0.05 to 0.075, that is, by 50%. Thus, a weaker and more disintegrated medium in the fault zone provokes the development of shear strains and causes a decrease in the stability of the walls.
      Originality. For the first time, under real mining-geological conditions of deep ore quarry, a pattern of change in safety factor of steeply sloping walls has been identified, taking into account geological faults in the bottom part of the quarry. A dependence of shear strains on the normal stiffness index of fractures and the ratio of stress-strain modules of the rock medium inside and outside the fault zone has been found.
      Practical implications. The wall safety factor (FoS) value at each stage of mining is a key parameter for adoption of technological decisions and regulations. The established fact that the stability of the walls has decreased to a critical level (FoS = 1.1) at the final stage of mining due to the presence of faults may serve as a basis for revising the technological scheme of ore mining at the final stage, in particular, to reduce the slope angle of the benches.
      Keywords: geological fault; open-pit mining; deep quarry; slope stability; numerical modelling
      REFERENCES
- Sdvyzhkova, O., Moldabayev, S., Bascetin, A., Babets, D., Kuldeyev, E., Sultanbekova, Zh., Amankulov, M., & Issakov, B. (2022). Probabilistic assessment of slope stability at ore mining with steep layers in deep open pits. Mining of Mineral Deposits, 16(4), 11-18. https://doi.org/10.33271/mining16.04.011
- Bazaluk, O., Petlovanyi, M., Sai, K., Chebanov, M., & Lozynskyi, V. (2024). Comprehensive assessment of the earth’s surface state disturbed by mining and ways to improve the situation: case study of Kryvyi Rih Iron-ore Basin, Ukraine. Frontiers in Environmental Science, 12, 1480344. https://doi.org/10.3389/fenvs.2024.1480344
- Sloan, S.W. (2013). Geotechnical stability analysis. Géotechnique, 63(7), 531-571. https://doi.org/10.1680/geot.12.rl.001
- Bazaluk, O., Anisimov, O., Saik, P., Lozynskyi, V., Akimov, O., & Hrytsenko, L. (2023). Determining the safe distance for mining equipment operation when forming an internal dump in a deep open pit. Sustainability, 15(7), 5912. https://doi.org/10.3390/su15075912
- Babets, D.V., Sdvyzhkova, O.O., Larionov, M.H., & Tereshchuk, R.M. (2017). Estimation of rock mass stability based on probability approach and rating systems. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 2, 58-64.
- Kruszewski, M., Klee, G., Niederhuber, T., & Heidbach, O. (2022). In situ stress database of the greater Ruhr region (Germany) derived from hydrofracturing tests and borehole logs. Earth System Science Data, 14(12), 5367-5385. https://doi.org/10.5194/essd-14-5367-2022
- Li, P., Cai, M., Gorjian, M., Ren, F., Xi, X., & Wang, P. (2023). Interaction between in situ stress states and tectonic faults: A comment. International Journal of Minerals, Metallurgy and Materials, 30(7), 1227-1243. https://doi.org/10.1007/s12613-023-2607-8
- Reiter, K. (2021). Stress rotation – impact and interaction of rock stiffness and faults. Solid Earth, 12(6), 1287-1307. https://doi.org/10.5194/se-12-1287-2021
- Liu, J., Yang, H., Xu, K., Wang, Z., Liu, X., Cui, L., Zhang, G., & Liu, Y. (2022). Genetic mechanism of transfer zones in rift basins: Insights from geomechanical models. GSA Bulletin, 134(9-10), 2436-2452. https://doi.org/10.1130/b36151.1
- Qian, D., Zhang, N., Zhang, M., Shimada, H., Cao, P., Chen, Y., Wen, K., Yang, S., & Zhang, N. (2017). Application and evaluation of ground surface pre-grouting reinforcement for 800-m-deep underground opening through large fault zones. Arabian Journal of Geosciences, 10(13), 285. https://doi.org/10.1007/s12517-017-3052-7
- Childs, C., Manzocchi, T., Walsh, J.J., Bonson, C.G., Nicol, A., & Schöpfer, M.P.J. (2009). A geometric model of fault zone and fault rock thickness variations. Journal of Structural Geology, 31(2), 117-127. https://doi.org/10.1016/j.jsg.2008.08.009
- Wyllie, D.C., & Mah, C.W. (2017). Rock slope engineering. London, United Kingdom: CRC Press, 456 p. https://doi.org/10.1201/9781315274980
- Pariseau, W.G., Puri, S., & Schmelter, S.C. (2008). A new model for effects of impersistent joint sets on rock slope stability. International Journal of Rock Mechanics and Mining Sciences, 45(2), 122-131. https://doi.org/10.1016/j.ijrmms.2007.05.001
- You, G., Jaggi, N., Al Mandalawi, M., Dowling, K., & Dahlhaus, P. (2018). Effect of faults on stability of partially saturated rock slope. Deep Rock Mechanics: From Research to Engineering, 393-402. https://doi.org/10.1201/9781351042666-39
- Al Heib, M., Zevgolis, I.E., Theocharis, A.I., Koukouzas, N.C., & Coccia, S. (2021). Analysis of faults’ effect on the stability of surface lignite mining areas using the distinct element method. Geotechnical and Geological Engineering, 40(3), 1307-1321. https://doi.org/10.1007/s10706-021-01964-z
- Kimura, N., Matsuki, K., Nakama, S., & Sato, T. (2003). Estimation of regional stress for heterogeneous rock mass. Shigen-to-Sozai, 119(10, 11), 655-662. https://doi.org/10.2473/shigentosozai.119.655
- Tonon, F., & Asadollahi, P. (2008). Validation of general single rock block stability analysis (BS3D) for wedge failure. International Journal of Rock Mechanics and Mining Sciences, 45(4), 627-637. https://doi.org/10.1016/j.ijrmms.2007.08.014
- Rong, S., & Wang, J. (2024). Study on the influence of multiple faults on the stability of high and steep slopes in open-pit mines. Energy Power and Automation Engineering, 799-814. https://doi.org/10.1007/978-981-99-8878-5_78
- Liu, H., Si, H., Yang, Z., & Xu, D. (2025). Stress redistribution and crack evolution during fault slip: Insights from coupled finite-discrete element method simulations. Physics of Fluids, 37(5), 056626. https://doi.org/10.1063/5.0270195
- Yin, H., Li, X., Su, T., Xu, Y., Yuan, X., Liu, J., & Wei, N. (2025). A study on the variation characteristics of floor fault activation induced by mining. Applied Sciences, 15(16), 8811. https://doi.org/10.3390/app15168811
- Vavryčuk, V. (2014). Iterative joint inversion for stress and fault orientations from focal mechanisms. Geophysical Journal International, 199(1), 69-77. https://doi.org/10.1093/gji/ggu224
- Hui, Q., Gao, F., Tan, X., & You, D. (2023). Determining tunnel stability across fault zones under seismic loading based on load/unload response ratio theory. Journal of Vibroengineering, 25(7), 1285-1304. https://doi.org/10.21595/jve.2023.23284
- Saik, P., Rysbekov, K., Kassymkanova, K.K., Lozynskyi, V., Kyrgizbayeva, G., Moldabayev, S., Babets, D., & Salkynov, A. (2024). Investigation of the rock mass state in the near-wall part of the quarry and its stability management. Frontiers in Earth Science, 12, 1395418. https://doi.org/10.3389/feart.2024.1395418
- Petlovanyi, M., Sai, K., Malashkevych, D., Popovych, V., & Khorolskyi, A. (2023). Influence of waste rock dump placement on the geomechanical state of underground mine workings. IOP Conference Series: Earth and Environmental Science, 1156(1), 012007. https://doi.org/10.1088/1755-1315/1156/1/012007
- Sdvyzhkova, O., Moldabayev, S., Babets, D., Bascetin, A., Asylkhanova, G., Nurmanova, A., & Prykhodko, V. (2024). Numerical modelling of the pit wall stability while optimizing its boundaries to ensure the ore mining completeness. Mining of Mineral Deposits, 18(2), 1-10. https://doi.org/10.33271/mining18.02.001
- Saik, P., Cherniaiev, O., Anisimov, O., & Rysbekov, K. (2023). Substantiation of the direction for mining operations that develop under conditions of shear processes caused by hydrostatic pressure. Sustainability, 15(22), 15690. https://doi.org/10.3390/su152215690
- Deng, D., Li, L., & Zhao, L. (2017). Limit equilibrium method (LEM) of slope stability and calculation of comprehensive factor of safety with double strength-reduction technique. Journal of Mountain Science, 14(11), 2311-2324. https://doi.org/10.1007/s11629-017-4537-2
- Li, Y., Yu, L., Song, W., & Yang, T. (2019). Three-dimensional analysis of complex rock slope stability affected by fault and weak layer based on FESRM. Advances in Civil Engineering, 2019(1). https://doi.org/10.1155/2019/6380815
- Barton, N. (2013). Shear strength criteria for rock, rock joints, rockfill and rock masses: Problems and some solutions. Journal of Rock Mechanics and Geotechnical Engineering, 5(4), 249-261. https://doi.org/10.1016/j.jrmge.2013.05.008
- Wibberley, C.A.J., Yielding, G., & Di Toro, G. (2008). Recent advances in the understanding of fault zone internal structure: A review. Geological Society, London, Special Publications, 299(1), 5-33. https://doi.org/10.1144/sp299.2
- Treffeisen, T., & Henk, A. (2020). Faults as volumetric weak zones in reservoir-scale hydro-mechanical finite element models – A comparison based on grid geometry, mesh resolution and fault dip. Energies, 13(10), 2673. https://doi.org/10.3390/en13102673
- Henk, A. (2020). Numerical modelling of faults. Understanding Faults, 147-165. https://doi.org/10.1016/b978-0-12-815985-9.00004-7
- Hergert, T., Heidbach, O., Reiter, K., Giger, S.B., & Marschall, P. (2015). Stress field sensitivity analysis in a sedimentary sequence of the Alpine foreland, northern Switzerland. Solid Earth, 6(2), 533-552. https://doi.org/10.5194/se-6-533-2015
- Reiter, K., Heidbach, O., & Ziegler, M.O. (2024). Impact of faults on the remote stress state. Solid Earth, 15(2), 305-327. https://doi.org/10.5194/se-15-305-2024
- Sdvyzhkova, O., Moldabayev, S., Babets, D., Kovrov, O., & Adil, T. (2021). Numerical simulation of the open pit stability based on probabilistic approach. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 6, 29-34. https://doi.org/10.33271/nvngu/2021-6/029
- Teng, L., He, Y., Wang, Y., Sun, C., & Yan, J. (2024). Numerical stability assessment of a mining slope using the synthetic rock mass modeling approach and strength reduction technique. Frontiers in Earth Science, 12, 1438277. https://doi.org/10.3389/feart.2024.1438277
- Chen, T., Xu, G., Li, C., Peng, H., & Wang, B. (2024). Reactivation mechanism of a deep-seated landslide along fault zones in Baihetan reservoir area. Bulletin of Engineering Geology and the Environment, 83(12), 487. https://doi.org/10.1007/s10064-024-03998-y
- Faulkner, D.R., Mitchell, T.M., Jensen, E., & Cembrano, J. (2011). Scaling of fault damage zones with displacement and the implications for fault growth processes. Journal of Geophysical Research, 116(B5). https://doi.org/10.1029/2010jb007788
- Laurita, S., Agosta, F., Cavalcante, F., Rustichelli, A., & Giorgioni, M. (2016). Shearing of syn-sedimentary carbonate breccia along strike-slip faults, Altamura Fm., Southern Italy. Italian Journal of Geosciences, 135(1), 41-54. https://doi.org/10.3301/ijg.2014.37
- Usenov, Kz., Kuvakov, Sz., Alibaev, A., Kuvakov, Z., & Takeeva, A. (2022). The change in physical and mechanical properties of rocks in the course of mining in Makmal Mine. IOP Conference Series: Earth and Environmental Science, 991(1), 012016. https://doi.org/10.1088/1755-1315/991/1/012016
- Aitkazinova, S., Sdvyzhkova, O., Imansakipova, N., Babets, D., & Klymenko, D. (2022). Mathematical modeling the quarry wall stability under conditions of heavily jointed rocks. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 6, 18-24. https://doi.org/10.33271/nvngu/2022-6/018
- Marinos, P., & Hoek, E. (2000). GSI: A geologically friendly tool for rock mass strength estimation. ISRM International Symposium.
- SOU-N MPP 73.020-078-1:2007. (2007). Standards of technological design for mining enterprises using an open method of developing mineral deposits. Kyiv, Ukraine: Ministry of Industrial Policy of Ukraine.
- Moldabayev, S., Sdvyzhkova, O., Babets, D., Amankulov, M., & Nurmanova, A. (2024). Numerical simulation of a pit wall stability considering seismic impact in terms of ultra-deep open-pit mine. Geomining, 121-134. https://doi.org/10.1007/978-3-031-70725-4_9
- Sdvyzhkova, O.O., Olishevska, S.O., Shashenko, O.M., & Morklyanyk, B.V. (2025). Analysis of a soil slope stability based on modified failure criterion. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 4, 90-97. https://doi.org/10.33271/nvngu/2025-4/090
- Sdvyzhkova, O., Golovko, Y., & Klymenko, D. (2017). Effect of harmonic oscillations on a crack initiation in the rock mass. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 4, 13-18. https://doi.org/10.15407/mining10.02.072
- Zhao, Q., Zhao, Y., Yang, T., & Wang, S. (2025). Mechanical behavior and micro-crack propagation mode of fault stick-slip under various roughness conditions. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 11(1), 1. https://doi.org/10.1007/s40948-024-00920-4
