From Corrosion to Collapse: Spatiotemporal Evolution of Local Stability in Anchored Anti-Dip Slopes
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The long-term stability of anchored anti-dip slopes in hydropower and mining projects is threatened by corrosion-induced degradation of rock bolt systems. Existing deterministic models relying on global safety factors fail to capture localized failure mechanisms and inherent geotechnical uncertainties. This study aims to develop a probabilistic framework for assessing the spatiotemporal stability evolution of such slopes under progressive bolt corrosion. A novel Factor of Local Safety (FoLS) is introduced to quantify stability at individual rock column levels, enabling spatially explicit assessment. This metric is integrated with a time-variant mechanical model for bolt capacity loss and Monte Carlo simulation for uncertainty propagation. Applied to a representative slope, the framework reveals complex degradation patterns: failure initiates in the extremely active toppling zone, progresses to the moderately active zone, and ultimately extends to the passive and shear sliding zones. Sensitivity analyses highlight the critical influence of bolt inclination, yield strength, bolt-rock bond strength, and grout water-cement ratio. Comparative anchorage scenarios demonstrate the superior long-term effectiveness of lower-bench reinforcement. The study provides a novel, spatially differentiated approach for the design, maintenance, and risk management of anchored anti-dip slopes, emphasizing the necessity of dynamic stability monitoring over time.
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[1] Goodman, R. E., & Kieffer, D. S. (2000). Behavior of Rock in Slopes. Journal of Geotechnical and Geoenvironmental Engineering, 126(8), 675–684. doi:10.1061/(asce)1090-0241(2000)126:8(675).
[2] Wyllie, D. C. (2017). Rock Slope Engineering. CRC Press, Boca Raton, United States. doi:10.4324/9781315154039.
[3] Huang, D., Ma, H., & Huang, R. (2022). Deep-seated toppling deformations of rock slopes in western China. Landslides, 19(4), 809–827. doi:10.1007/s10346-021-01829-9.
[4] Cheng, Y. G. (2012). Slope Anchoring Technology in China: State of the Art Report and its Prospect. Applied Mechanics and Materials, 256–259, 26–33. doi:10.4028/www.scientific.net/AMM.256-259.26.
[5] Li, B., Li, T., Xu, N., Dai, F., Chen, W., & Tan, Y. (2018). Stability assessment of the left bank slope of the Baihetan Hydropower Station, Southwest China. International Journal of Rock Mechanics and Mining Sciences, 104, 34–44. doi:10.1016/j.ijrmms.2018.02.016.
[6] Li, D. Q., Jiang, S. H., Cao, Z. J., Zhou, C. B., Li, X. Y., & Zhang, L. M. (2015). Efficient 3-D reliability analysis of the 530m high abutment slope at Jinping I Hydropower Station during construction. Engineering Geology, 195, 269–281. doi:10.1016/j.enggeo.2015.06.007.
[7] Yang, Y. X., Luo, G., Duan, Y. Y., Zhang, C. Z., Zhang, Y. G., & Lei, Q. (2020). Failure Mechanisms and Mitigation Measures of the G1006 Electricity Pylon Landslide in the Dam Area of the Jinping I Hydropower Station. IOP Conference Series: Earth and Environmental Science, 570(2), 022007. doi:10.1088/1755-1315/570/2/022007.
[8] Wu, S., Wang, L., Wu, Q., Tian, J., Zhu, L., Sun, Z., Zheng, L., & Wang, C. (2024). Dynamic stability analysis of anchored anti-dip slope under the Ludian earthquake: a case study of the Manhekuan slope, Yunnan, China. Bulletin of Engineering Geology and the Environment, 83(11), 429. doi:10.1007/s10064-024-03904-6.
[9] Wang, Y., Sun, X., & Ren, A. (2019). Investigations of rock anchor corrosion and its influence factors by exhumations in four typical field sites. Engineering Failure Analysis, 101, 357–382. doi:10.1016/j.engfailanal.2019.03.022.
[10] Yin, T., Sun, X., Wang, Y., & Zhao, Y. (2022). Corrosion Investigation of Rock Anchors Served over 10 Years in Underground Powerhouse of a Hydropower Station. Advances in Materials Science and Engineering, 4905010. doi:10.1155/2022/4905010.
[11] Yu, S., Lu, S., Hu, J., Guan, K., Wu, S., Liu, W., & Zhang, H. (2026). Combined Effect of Strain Rate and Corrosion on Bond Failure Mechanism of Rockbolt Grouted Structures. Rock Mechanics and Rock Engineering. doi:10.1007/s00603-025-05240-x.
[12] Yu, S., Lu, S., Wang, Y., Zhang, H., & Qi, F. (2025). Study on the deterioration of bond-slip performance of rockbolt grouted structures under corrosion. Computers and Geotechnics, 179, 106980. doi:10.1016/j.compgeo.2024.106980.
[13] Zheng, H., Jiang, Y., Wu, X., & Zhang, S. (2026). Shear performance degradation of bolted rock joint under corrosion-temperature coupling. Construction and Building Materials, 511, 145305. doi:10.1016/j.conbuildmat.2026.145305.
[14] Yang, Z., Xu, S., Wang, W., & Li, D. (2025). Experimental study on mechanical aging properties of self‑swelling anchorage bolt under chemical corrosion. International Journal of Mining, Reclamation and Environment, 39(4), 309–324. doi:10.1080/17480930.2024.2393593.
[15] Li, Y., Zhang, S., Yang, R., & Shi, S. (2026). Investigation into the stress corrosion behavior of cable bolts under different tensile stresses. Tunnelling and Underground Space Technology, 171, 107452. doi:10.1016/j.tust.2026.107452.
[16] de Freitas, M. H., & Watters, R. J. (1974). Discussion: Some field examples of toppling failure. Géotechnique, 24(4), 691–693. doi:10.1680/geot.1974.24.4.691.
[17] Gu, D., & Huang, D. (2016). A complex rock topple-rock slide failure of an anaclinal rock slope in the Wu Gorge, Yangtze River, China. Engineering Geology, 208, 165–180. doi:10.1016/j.enggeo.2016.04.037.
[18] Zhu, C., He, M., Karakus, M., Cui, X., & Tao, Z. (2020). Investigating Toppling Failure Mechanism of Anti-dip Layered Slope due to Excavation by Physical Modelling. Rock Mechanics and Rock Engineering, 53(11), 5029–5050. doi:10.1007/s00603-020-02207-y.
[19] Zhao, Q., Yang, Z., Zhang, S., Gao, Y., Jin, X., Liu, X., & Li, B. (2025). Exploring the toppling deformation mechanisms and failure modes of anti-dip layered rocky slopes: insights from physical model experiments. Landslides, 22(3), 895–923. doi:10.1007/s10346-024-02405-7.
[20] Amini, M., Majdi, A., & Veshadi, M. A. (2012). Stability analysis of rock slopes against block-flexure toppling failure. Rock Mechanics and Rock Engineering, 45(4), 519–532. doi:10.1007/s00603-012-0220-7.
[21] Alejano, L. R., Sánchez-Alonso, C., Pérez-Rey, I., Arzúa, J., Alonso, E., González, J., Beltramone, L., & Ferrero, A. M. (2018). Block toppling stability in the case of rock blocks with rounded edges. Engineering Geology, 234, 192–203. doi:10.1016/j.enggeo.2018.01.010.
[22] Zhang, G., Wang, F., Zhang, H., Tang, H., Li, X., & Zhong, Y. (2018). New stability calculation method for rock slopes subject to flexural toppling failure. International Journal of Rock Mechanics and Mining Sciences, 106, 319–328. doi:10.1016/j.ijrmms.2018.04.016.
[23] Zheng, Y., Chen, C., Liu, T., Zhang, H., & Sun, C. (2019). Theoretical and numerical study on the block-flexure toppling failure of rock slopes. Engineering Geology, 263, 105309. doi:10.1016/j.enggeo.2019.105309.
[24] Ning, Y., Zhang, G., Tang, H., Shen, W., & Shen, P. (2019). Process Analysis of Toppling Failure on Anti-dip Rock Slopes Under Seismic Load in Southwest China. Rock Mechanics and Rock Engineering, 52(11), 4439–4455. doi:10.1007/s00603-019-01855-z.
[25] Zheng, X., Tao, Z., Shi, G., Yu, H., & He, M. (2025). The impact of groundwater level rise on toppling failure in anti-dip slopes: A physical model study. Bulletin of Engineering Geology and the Environment, 84(6), 330. doi:10.1007/s10064-025-04359-z.
[26] Cai, J., Zheng, D., Ju, N., Wang, J., Zhou, X., & Li, D. (2022). Time-Varying Effect of Ductile Flexural Toppling Failure on Antidip Layered Rock Slope. Frontiers in Earth Science, 10, 943700. doi:10.3389/feart.2022.943700.
[27] Mu, J., Li, T., Pei, X., Huang, R., Lan, F., & Zou, X. (2022). Evolution mechanism and deformation stability analysis of rock slope block toppling for early warnings. Natural Hazards, 114(2), 1171–1195. doi:10.1007/s11069-022-05422-8.
[28] Zhang, B., Ning, Y., Tang, H., Ding, B., Fang, K., & Zou, Z. (2023). Study on the evolutionary process of interbedded anti-inclined slope block-flexure toppling in the upper Yalong River. Bulletin of Engineering Geology and the Environment, 82(7), 240. doi:10.1007/s10064-023-03223-2.
[29] Sagaseta, C., Sánchez, J. M., & Cañizal, J. (2001). A general analytical solution for the required anchor force in rock slopes with toppling failure. International Journal of Rock Mechanics and Mining Sciences, 38(3), 421–435. doi:10.1016/S1365-1609(01)00011-9.
[30] Amini, M., Majdi, A., & Aydan, Ö. (2009). Stability analysis and the stabilisation of flexural toppling failure. Rock Mechanics and Rock Engineering, 42(5), 751–782. doi:10.1007/s00603-008-0020-2.
[31] Dong, M., Zhang, F., Lv, J., Hu, M., & Li, Z. (2020). Study on deformation and failure law of soft-hard rock interbedding toppling slope base on similar test. Bulletin of Engineering Geology and the Environment, 79(9), 4625–4637. doi:10.1007/s10064-020-01845-4.
[32] Tao, Z., Zhu, C., He, M., & Karakus, M. (2021). A physical modeling-based study on the control mechanisms of Negative Poisson’s ratio anchor cable on the stratified toppling deformation of anti-inclined slopes. International Journal of Rock Mechanics and Mining Sciences, 138, 104632. doi:10.1016/j.ijrmms.2021.104632.
[33] Gong, W. J., Tao, Z. G., He, M. C., & Hou, H. J. (2022). Feasibility Analysis on the Support of Rock Slopes Against Flexural Toppling Failure Using the DDA Method-A Case Study. KSCE Journal of Civil Engineering, 26(9), 3847–3862. doi:10.1007/s12205-022-2331-3.
[34] An, X., Ju, G., & Bai, H. (2021). Study on simulation method of prestressed anchor cable reinforcement for large toppling slopes. 2021 7th International Conference on Hydraulic and Civil Engineering & Smart Water Conservancy and Intelligent Disaster Reduction Forum (ICHCE & SWIDR), 1463–1470. doi:10.1109/ICHCESWIDR54323.2021.9656489.
[35] Wu, S., Wang, L., Havenith, H. B., Tian, J., Wu, Q., Li, C., Ke, R., Wang, C., & Bi, X. (2025). Failure mechanism of anchored anti-dip rock slope subjected to strong earthquakes: Insights from large-scale shaking table tests. Engineering Geology, 355. doi:10.1016/j.enggeo.2025.108217.
[36] Sabatini, P. J., Pass, D. G., & Bachus, R. C. (1999). Ground anchors and anchored systems. FHWA-IF-99-015, Office of Bridge Technology, Federal Highway Administration, Washington, United States.
[37] Park, J., Qiu, T., & Kim, Y. (2013). Field and Laboratory Investigation of Pullout Resistance of Steel Anchors in Rock. Journal of Geotechnical and Geoenvironmental Engineering, 139(12), 2219–2224. doi:10.1061/(asce)gt.1943-5606.0000953.
[38] Zheng, D., Liu, F., Ju, N., Frost, J. D., & Huang, R. (2016). Cyclic load testing of pre-stressed rock anchors for slope stabilization. Journal of Mountain Science, 13(1), 126–136. doi:10.1007/s11629-015-3605-8.
[39] Jiang, S. H., Li, D. Q., Zhang, L. M., & Zhou, C. B. (2014). Time-dependent system reliability of anchored rock slopes considering rock bolt corrosion effect. Engineering Geology, 175, 1–8. doi:10.1016/j.enggeo.2014.03.011.
[40] Li, X.-Y., Fan, Z.-B., Lu, T., Xiao, T., & Zhang, L.-M. (2018). A Resilience Model for Engineered Slopes Subject to Anchor Corrosion. KSCE Journal of Civil Engineering, 22(3), 887–895. doi:10.1007/s12205-018-1041-3.
[41] Fu, G., Deo, R., Ji, J., & Kodikara, J. (2021). Failure assessment of reinforced rock slopes subjected to bolt corrosion considering correlated multiple failure modes. Computers and Geotechnics, 132, 104029. doi:10.1016/j.compgeo.2021.104029.
[42] Vu, K. A. T., & Stewart, M. G. (2000). Structural reliability of concrete bridges including improved chloride-induced corrosion models. Structural Safety, 22(4), 313–333. doi:10.1016/S0167-4730(00)00018-7.
[43] Chen, G., Li, Z., & Gong, W. (2026). Stability Assessment of Bolt-Reinforced Rock Slopes Considering Corrosion Effects. International Journal of Geomechanics, 26(3), 4026014. doi:10.1061/ijgnai.gmeng-12297.
[44] Cheng, X. W. (2010). Time-Varying Reliability Analysis of Rock Slope Anchorage System and Computational Method. Master Thesis, Hunan University, Changsha, China. (In Chinese).
[45] Lin, H., Zhao, Y., Feng, P., Ye, H., Ozbolt, J., Jiang, C., & Yang, J. Q. (2019). State-of-the-art review on the bond properties of corroded reinforcing steel bar. Construction and Building Materials, 213, 216–233. doi:10.1016/j.conbuildmat.2019.04.077.
[46] Syll, A. S., & Kanakubo, T. (2022). Impact of Corrosion on the Bond Strength between Concrete and Rebar: A Systematic Review. Materials, 15(19), 7016. doi:10.3390/ma15197016.
[47] Bhargava, K., Ghosh, A. K., Mori, Y., & Ramanujam, S. (2007). Corrosion-induced bond strength degradation in reinforced concrete-Analytical and empirical models. Nuclear Engineering and Design, 237(11), 1140–1157. doi:10.1016/j.nucengdes.2007.01.010.
[48] Ma, Y., Zhang, J., Wang, L., & Liu, Y. (2013). Probabilistic prediction with Bayesian updating for strength degradation of RC bridge beams. Structural Safety, 44, 102–109. doi:10.1016/j.strusafe.2013.07.006.
[49] Yu, X. H., Dai, K. Y., & Li, Y. S. (2021). Variability in corrosion damage models and its effect on seismic collapse fragility of aging reinforced concrete frames. Construction and Building Materials, 295, 123654. doi:10.1016/j.conbuildmat.2021.123654.
[50] Guo, H. Y., Jiang, C., Gu, X. L., Dong, Y., & Zhang, W. P. (2023). Time-dependent reliability analysis of reinforced concrete beams considering marine environmental actions. Engineering Structures, 288, 116252. doi:10.1016/j.engstruct.2023.116252.
[51] Wang, D. J., Tang, H., Zhang, Y., & Shen, P. (2019). Local failure probability of the anti-dip slope susceptible to flexural toppling. Stochastic Environmental Research and Risk Assessment, 33(4–6), 1187–1202. doi:10.1007/s00477-019-01683-1.
[52] Aladejare, A. E., & Akeju, V. O. (2020). Design and Sensitivity Analysis of Rock Slope Using Monte Carlo Simulation. Geotechnical and Geological Engineering, 38(1), 573–585. doi:10.1007/s10706-019-01048-z.
[53] Chakraborty, R., & Dey, A. (2022). Probabilistic slope stability analysis: state-of-the-art review and future prospects. Innovative Infrastructure Solutions, 7(2), 177. doi:10.1007/s41062-022-00784-1.
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