Research article Special Issues

Stability assessment of falling-type unstable rock mass based on amplitude ratio and frequency ratio

  • Published: 28 February 2026
  • Due to micro-deformation, wide spatial distribution, and high randomness of instability, stability assessment and early warning of slope rock mass remain challenging. To identify highly sensitive and robust indicators of rock mass damage, we investigated time–frequency dynamic differences between unstable rock mass and bedrock during failure, focusing on micro-vibration characteristics. We further examined their correlation with structural plane constraint strength. Our results showed that the degree of structural plane damage in unstable rock mass is positively correlated with the amplitude ratio between rock mass and bedrock, and negatively correlated with the frequency ratio. By integrating these dynamic indicators with classification algorithms, a dynamics-PSO-SVM-based stability analysis method for unstable rock mass was proposed. This model enabled rapid classification of rock mass stability states based on dynamic indicators. Laboratory-scale similarity experiments analyzed the evolution of amplitude and frequency ratios during rock mass instability, revealing stage-specific patterns in unstable rock mass. The method achieved 100% classification accuracy between stable and unstable states. Moreover, it effectively reduced interference from complex environmental excitation and equipment temperature drift in vibration monitoring data, demonstrating strong noise immunity. These findings enhance the practical applicability of dynamic evaluation methods for assessing the stability of unstable rock mass.

    Citation: Hongqiang LI, Chen ZHAO, Zinan ZOU, Song JIANG, Mowen XIE, Xueliang ZHANG. Stability assessment of falling-type unstable rock mass based on amplitude ratio and frequency ratio[J]. AIMS Environmental Science, 2026, 13(1): 159-178. doi: 10.3934/environsci.2026007

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  • Due to micro-deformation, wide spatial distribution, and high randomness of instability, stability assessment and early warning of slope rock mass remain challenging. To identify highly sensitive and robust indicators of rock mass damage, we investigated time–frequency dynamic differences between unstable rock mass and bedrock during failure, focusing on micro-vibration characteristics. We further examined their correlation with structural plane constraint strength. Our results showed that the degree of structural plane damage in unstable rock mass is positively correlated with the amplitude ratio between rock mass and bedrock, and negatively correlated with the frequency ratio. By integrating these dynamic indicators with classification algorithms, a dynamics-PSO-SVM-based stability analysis method for unstable rock mass was proposed. This model enabled rapid classification of rock mass stability states based on dynamic indicators. Laboratory-scale similarity experiments analyzed the evolution of amplitude and frequency ratios during rock mass instability, revealing stage-specific patterns in unstable rock mass. The method achieved 100% classification accuracy between stable and unstable states. Moreover, it effectively reduced interference from complex environmental excitation and equipment temperature drift in vibration monitoring data, demonstrating strong noise immunity. These findings enhance the practical applicability of dynamic evaluation methods for assessing the stability of unstable rock mass.



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    [1] Du Y, Zhang H, Xie M, et al. (2024) A Possible Mechanism of High-Speed and Long-Distance Rockslides. J Earth Sci 35: 2158-2162. https://doi.org/10.1007/s12583-024-2025-5 doi: 10.1007/s12583-024-2025-5
    [2] Vardhan KVV, Kaushik VHSS, Sailaja K et al (2023) Detection and prediction of landslide bulnerability through case study using DInSAR technique and U-net model. 2023 5th International Conference on Smart Systems and Inventive Technology (ICSSIT), 2023: 176-182. https://doi.org/10.1109/ICSSIT55814.2023.10061077
    [3] Seishi, Okuzono, Kikuma, et al (1980) The method to evaluate the danger of rock-collapse at a slope by vibration measurement. J Jpn Soc Eng Geol https://doi.org/10.5110/jjseg.21.119
    [4] Burjánek J, Gassner-Stamm G, Poggi V et al (2010) Ambient vibration analysis of an unstable mountain slope. Geophys J Int 180: 820-828. https://doi.org/10.1111/j.1365-246X.2009.04451.x doi: 10.1111/j.1365-246X.2009.04451.x
    [5] Du Y, Xie M, Jiang Y, et al. (2017) Experimental Rock Stability Assessment Using the Frozen–Thawing Test. Rock Mech Rock Eng 50: 1049-1053. https://doi.org/10.1007/s00603-016-1138-2 doi: 10.1007/s00603-016-1138-2
    [6] Zhang XY, Xie MW, Zhang L et al (2023) Study on calculation model of stability coefficient of falling dangerous rock mass based on natural frequency. Chin J Rock Mech Eng 42: 585–593. https://doi.org/10.13722/j.cnki.jrme.2022.0361 doi: 10.13722/j.cnki.jrme.2022.0361
    [7] Zhang XY (2023) Study on stability evaluation model of falling dangerous rock mass of slope based on natural frequency. Beijing: University of Science and Technology Beijing.
    [8] Zhao C, Xie MW, Du Y, et al. (2024) Spatial vibration characteristics and damage identification of toppling dangerous rock mass. Adv Eng Sci 56: 48–59. https://doi.org/ 10.12454/j.jsuese.202400255 doi: 10.12454/j.jsuese.202400255
    [9] Jia YC (2018) Study on Stability Model of Slope Dangerous Rock Mass Based on Dynamic Characteristics. University of Science and Technology Beijing, 2018.
    [10] Bottelin P, Lévy C, Baillet L et al (2013) Modal and thermal analysis of Les Arches unstable rock column (Vercors massif, French Alps). Geophys J Int 194: 849-858. https://doi.org/10.1093/gji/ggt046 doi: 10.1093/gji/ggt046
    [11] Burjánek J, Gischig V, Moore J R, et al (2018) Ambient vibration characterization and monitoring of a rock slope close to collapse. Geophys J Int 212: 297-310. https://doi.org/10.1093/gji/ggx424 doi: 10.1093/gji/ggx424
    [12] Kleinbrod U, Burjánek J, Fäh D (2019) Ambient vibration classification of unstable rock slopes: A systematic approach. Eng Geol 249: 198-217. https://doi.org/10.1016/j.enggeo.2018.12.012 doi: 10.1016/j.enggeo.2018.12.012
    [13] Du Y, Xie MW (2022) Indirect method for the quantitative identification of unstable rock. Nat Hazards 112: 1005–1012. https://doi.org/10.1007/s11069-021-05197-4 doi: 10.1007/s11069-021-05197-4
    [14] He Z, Xie M, Huang Z, et al. Experimental Hazardous Rock Block Stability Assessment Based on Vibration Feature Parameters. Adv Civ Eng 2020: 8837459. https://doi.org/10.1155/2020/8837459 doi: 10.1155/2020/8837459
    [15] Wu ZX, Xie MW, Zhang XY, et al. (2024) Experimental Damage Identification of Single-Structure-Surface Rock Mass Based on Continuous Microtremors. J Eng Sci 46: 589-599. https://doi.org/j.issn2095-9389.2023.03.12.002.
    [16] He Z, Xie MW, Wu ZX, et al. (2024) Field measurement study on the pre-collapse inclination deformation characteristics of tension-cracking slope rock mass using micro-core-pile sensor. Rock and Soil Mech 45: 3399-3415. https://doi.org/10.16285/j.rsm.2024.0146 doi: 10.16285/j.rsm.2024.0146
    [17] Xu C, Cui Y, Xue L, et al. (2023) Experimental study on mechanical properties and failure behaviours of new materials for modeling rock bridges. J Mater Res Technol 23: 1696-1711. https://doi.org/10.1016/j.jmrt.2023.01.128 doi: 10.1016/j.jmrt.2023.01.128
    [18] Wang WQ, Liu YR (2020) Study on similar material ratio of rock mass based on geomechanical model test. J Qinghai Univ 38: 44-52.
    [19] Hong Y, Shao ZS, Ma L. (2017) Application of a Support Vector Machine for Analysis and Prediction of Slope Stability. J Shenyang Jianzhu Univ 33: 1004-1010. https://doi.org/CNKI:SUN:SYJZ.0.2017-06-006.
    [20] Hu MF, Ou B, Zhang CY, et al. (2023) Research on Seepage Prediction of Earth and Rockfill Dams Based on PSO-BP Model. Water Resour Power 41: 90-92+89. https://doi.org/10.20040/j.cnki.1000-7709.2023.20221774 doi: 10.20040/j.cnki.1000-7709.2023.20221774
    [21] Wang T, Li ZJ (2023) Application of PSO-SVM in Water Resources Carrying Capacity Evaluation of Heilongjiang Province. Water Resour Power 41: 30-33. https://doi.org/10.20040/j.cnki.1000-7709.2023.20220748 doi: 10.20040/j.cnki.1000-7709.2023.20220748
    [22] Du Y, Wu ZX, Xie MW, et al. (2019) Early-warning method of rock collapse and its experimental verification. J China Coal Society 44: 3069-3075. https://doi:10.13225/j.cnki.jccs.2018.1467 doi: 10.13225/j.cnki.jccs.2018.1467
    [23] Du Y, Huo LC, Xie MW, Jiang YJ, Jia BN, Cong XM. (2021) Monitoring and Early Warning Experiment of Rock Collapse. Chin J Theor Appl Mech 53: 1212-1221. https://doi.org/10.6052/0459-1879-20-441. doi: 10.6052/0459-1879-20-441
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