Highlights
-
The proposed method solves the difficulty of unstable sliding rock (USR) adjustment.
-
The study provides a judgment criterion for the quantitative identification of USR.
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The improved method can provide a practical reference for engineers engaged in rapidly identifying USR.
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Data Availability
Data not available due to commercial restrictions.
Abbreviations
- \(f\) :
-
Natural frequency
- \(K\) :
-
Stiffness of the tension–compression spring
- \(M\) :
-
Mass of the rock block
- \(c_{i}\) :
-
Cohesive force at moment i
- \(c_{0}\) :
-
Initial cohesive force
- \(F_{sr}\) :
-
Reduction factor of the cohesive force
- \(f_{i}\) :
-
Natural frequency at moment i
- \(f_{0}\) :
-
Initial natural frequency
- \(SF_{i}\) :
-
Stability factor of unstable sliding rock
- \(\theta\) :
-
Angle of the slope
- \(\phi\) :
-
Internal friction angle
- \(\eta\) :
-
Damping loss factor
- \(\Delta E\) :
-
Energy dissipation in one cycle
- \(E\) :
-
Total energy of the system
- \(\zeta\) :
-
Damping ratio
- \(F\) :
-
Friction
- \(s\) :
-
Total displacement in one cycle
- \(\mu\) :
-
Reduction factor of the internal friction angle
- \(\phi_{i}\) :
-
Friction angle at moment i
- \(\phi_{0}\) :
-
Initial internal friction angle
- \(\zeta_{i}\) :
-
Damping ratio at moment i
- \(\zeta_{0}\) :
-
Initial damping ratio
References
Abraham MT, Satyam N, Reddy SKP, Pradhan B (2021) Runout modeling and calibration of friction parameters of kurichermala debris flow, india. Landslides 18:737–754. https://doi.org/10.1007/s10346-020-01540-1
Alberti S, Wang G, Dattola G, Crosta GB (2019) Physical mechanical characterization of a rockslide shear zone by standard and unconventional tests. Landslides 16:739–750. https://doi.org/10.1007/s10346-018-01126-y
Bhat DR, Yatabe R, Bhandary NP (2013) Study of preexisting shear surfaces of reactivated landslides from a strength recovery perspective. J Asian Earth Sci 77:243–253. https://doi.org/10.1016/j.jseaes.2013.08.023
Bolla A, Paronuzzi P (2020) Geomechanical field survey to identify an unstable rock slope: The passo della morte case history (ne italy). Rock Mech Rock Eng 53:1521–1544. https://doi.org/10.1007/s00603-019-01963-w
Borgaonkar AV, Mandale MB, Salunkhe VG, Potdar SB (2020) Experimental investigations of different fiber orientations on damping loss factor of fiberglass composite specimens. Mater Today Proceed 26:256–260. https://doi.org/10.1016/j.matpr.2019.11.208
Cascini L, Calvello M, Grimaldi GM (2014) Displacement trends of slow-moving landslides: Classification and forecasting. J Mt Sci 11:592–606. https://doi.org/10.1007/s11629-013-2961-5
Caudal P, Grenon M, Turmel D, Locat J (2017) Analysis of a large rock slope failure on the east wall of the lab chrysotile mine in canada: Lidar monitoring and displacement analyses. Rock Mech Rock Eng 50:807–824. https://doi.org/10.1007/s00603-016-1145-3
Chau KT (1995) Landslides modeled as bifurcations of creeping slopes with nonlinear friction law. Int J Solids Str 32:3451–3464. https://doi.org/10.1016/0020-7683(94)00317-P
Chen Z, He S (2020) Simulation of effects of particle breakage on sliding surface friction for a hypothetical soil continuum moving on an inclined plane. Landslides 17:2113–2124. https://doi.org/10.1007/s10346-020-01404-8
Chen C, Xie M, Jiang Y, Jia B, Du Y (2021) A new method for quantitative identification of potential landslide. Soils Found 61:1475–1479. https://doi.org/10.1016/j.sandf.2021.07.004
Dai J, Yang J, Yao C, Hu Y, Zhang X, Jiang Q, Zhou C (2022) Study on the mechanism of displacement mutation for jointed rock slopes during blasting excavation. Int J Rock Mech Min Sci 150:105032. https://doi.org/10.1016/j.ijrmms.2021.105032
D’Angiò D, Lenti L, Martino S (2021) Microseismic monitoring to assess rock mass damaging through a novel damping ratio-based approach. Int J Rock Mech Min Sci 146:104883. https://doi.org/10.1016/j.ijrmms.2021.104883
Du Y, Xie M (2022) Indirect method for the quantitative identification of unstable rock. Nat Hazards 112:1005–1012. https://doi.org/10.1007/s11069-021-05197-4
Du Y, Xie M, Jiang Y, Li B, Gao Y, LIu Q (2016) Safety monitoring experiment of unstable rock based on natural vibration frequency. Rock Soil Mech 37: 3035-3040. https://doi.org/10.16285/j.rsm.2016.10.039
Du Y, Xie M, Jiang Y, Li B, Chicas S (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
Du Y, Lu Y, Xie M, He Z, Ma G (2019a) Measurement of rock bridge length of unstable rock based on laser doppler vibrometer. J China Coal Soc 44:560–565. https://doi.org/10.13225/j.cnki.jccs.2019.0776
Du Y, Xie M, Jiang Y, Liu W, Liu R, LIu, Q, (2019b) Research progress on dynamic monitoring index for early warning of rock collapse. Chinese J Eng 41:427–435. https://doi.org/10.13374/j.issn2095-9389.2019.04.002
Du Y, Lu Y, Xie M, Jia J (2020) A new attempt for early warning of unstable rocks based on vibration parameters. Bull Eng Geol Env 79:4363–4368. https://doi.org/10.1007/s10064-020-01839-2
Du Y, Huo L, Zhang H, Xie M, Jiang Y, Zhang G (2022) Experimental research on remote monitoring and early warning of rock collapse. J China Univer Min Technol 51: 1201-1208. https://doi.org/10.13247/j.cnki.jcumt.001427
Du Y, Xie M, Jiang Y, Chen C, Jia B, Huo L (2021) Review on the formation mechanism and early warning of rock collapse. Metal Mine: https://doi.org/10.19614/j.cnki.jsks.202101008
Gibo S, Egashira K, Ohtsubo M, Nakamura S (2002) Strength recovery from residual state in reactivated landslides. Geotechnique 52:683–686. https://doi.org/10.1680/geot.52.9.683.38837
Guo J, Cui Y, Xu W, Shen W, Li T, Yi S (2022) A novel friction weakening-based dynamic model for landslide runout assessment along the sichuan-tibet railway. Eng Geol 306:106721. https://doi.org/10.1016/j.enggeo.2022.106721
Handwerger AL, Rempel AW, Skarbek RM, Roering JJ, Hilley GE (2016) Rate-weakening friction characterizes both slow sliding and catastrophic failure of landslides. Proc Natl Acad Sci USA 113:10281–10286. https://doi.org/10.1073/pnas.1607009113
He K, Liu B, Hu X, Zhou R, Xi C, Ma G, Han M, Li Y, Luo G (2022) Rapid characterization of landslide-debris flow chains of geologic hazards using multi-method investigation: Case study of the tiejiangwan ldc. Rock Mech Rock Eng 55:5183–5208. https://doi.org/10.1007/s00603-022-02905-9
Huang D, Song Y, Cen D, Fu G (2016) Numerical modeling of earthquake-induced landslide using an improved discontinuous deformation analysis considering dynamic friction degradation of joints. Rock Mech Rock Eng 49:4767–4786. https://doi.org/10.1007/s00603-016-1056-3
Jia B, Wu Z, Du Y (2019) Real-time stability assessment of unstable rocks based on fundamental natural frequency. Int J Rock Mech Min Sci 124:104134. https://doi.org/10.1016/j.ijrmms.2019.104134
Kumsar H, Aydan Ö, Tano H, Çelik SB, Ulusay R (2016) An integrated geomechanical investigation, multi-parameter monitoring and analyses of babadağ-gündoğdu creep-like landslide. Rock Mech Rock Eng 49:2277–2299. https://doi.org/10.1007/s00603-015-0826-7
Lazarová E, Kruľáková M, Krúpa V, Labaš M, Feriančiková K (2022) Regime and rock identification in disintegration by drilling based on vibration signal differentiation. Int J Rock Mech Min Sci 149:104984. https://doi.org/10.1016/j.ijrmms.2021.104984
Li R, Ji F, Shi Y, Pan Y, Zhang B (2022) Model test research on creep characteristics of discontinuous structural surfaces slope. Transport Geotechn 37:100863. https://doi.org/10.1016/j.trgeo.2022.100863
Liu W, He S, Li X, Xu Q (2016) Two-dimensional landslide dynamic simulation based on a velocity-weakening friction law. Landslides 13:957–965. https://doi.org/10.1007/s10346-015-0632-z
Ma G (2012) Study on evaluating rock block stability by using a remotely positioned laser doppler vibrometer. Int J Geomate 2:247–252. https://doi.org/10.21660/2012.4.3j
Ma G, Sawada K, Yashima A, Saito H (2014) Experimental study of the applicability of the remotely positioned laser doppler vibrometer to rock-block stability assessment. Rock Mech Rock Eng 48:787–802. https://doi.org/10.1007/s00603-014-0577-x
Marino L, Cicirello A (2022) Coulomb friction effect on the forced vibration of damped mass–spring systems. J Sound Vibr 535:117085. https://doi.org/10.1016/j.jsv.2022.117085
Qian H, Wang D, Mo J (2021) Effect of damping parameters on stability and stick⁃slip vibration behaviour of friction system. J Vibrat Measure Diagnosis 41: 1021:1027+1040. https://doi.org/10.16450/j.cnki.issn.1004-6801.2021.05.027
Renani HR, Martin CD (2020) Slope stability analysis using equivalent mohr-coulomb and hoek-brown criteria. Rock Mech Rock Eng 53:13–21. https://doi.org/10.1007/s00603-019-01889-3
Shen Y, Feng Z (2022) Study on precursor information of rock instability based on displacement increments measured at multiple points. Nat Hazards 113:1713–1727. https://doi.org/10.1007/s11069-022-05365-0
Shi H, Li Z, Zhang J (2014) Analysis of damping characteristics of coulomb friction based on energy method. Noise Vibrat Control 34:42–46
Shu J, Deng Z, Wu B, Guan H, Cao M (2022) Stability deterioration model of toppling unstable rock mass under freeze-thaw cycle. J Zhejiang Univer Eng Sci 56:1714–1723
Singh PK, Singh KK, Singh TN (2017) Slope failure in stratified rocks: A case from ne Himalaya, India. Landslides 14:1319–1331. https://doi.org/10.1007/s10346-016-0785-4
Sinou J-J, Jézéquel L (2007) Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping. Eur J Mech A Solids 26:106–122. https://doi.org/10.1016/j.euromechsol.2006.03.002
Stockton E, Leshchinsky BA, Olsen MJ, Evans TM (2019) Influence of both anisotropic friction and cohesion on the formation of tension cracks and stability of slopes. Eng Geol 249:31–44. https://doi.org/10.1016/j.enggeo.2018.12.016
Urgilez Vinueza A, Handwerger AL, Bakker M, Bogaard T (2022) A new method to detect changes in displacement rates of slow-moving landslides using insar time series. Landslides 19:2233–2247. https://doi.org/10.1007/s10346-022-01913-8
Wang Z, Zhang T, Wang W (2022) Study on the glacier detachment chain process in the amney machen mountain. J Beijing Normal Univers (Natural Science): 1–14
Wen T, Tang H, Ma J, Zhang J, Fan Z (2019) Deformation simulation for rock in consideration of initial damage and residual strength. Earth Sci 44:652–663
Xie M, Liu W, Du Y, Li Q, Wang H (2021) The evaluation method of rock mass stability based on natural frequency. Adv Civil Eng 2021:6652960. https://doi.org/10.1155/2021/6652960
Yamada M, Mangeney A, Matsushi Y, Matsuzawa T (2018) Estimation of dynamic friction and movement history of large landslides. Landslides 15:1963–1974. https://doi.org/10.1007/s10346-018-1002-4
Yu H, Yan X (2011) Principle and application of free resonance vibration isolation based on dry friction damper. Appl Mech Mater 141:59–63. https://doi.org/10.4028/www.scientific.net/AMM.141.59
Zhang X, Xie M, Zhang L, Du Y, Liu W, Gao S (2022) Study on calculation model of stability coefficient of falling dangerous rock mass based on natural frequency. Chinese J Rock Mech Eng https://doi.org/10.13722/j.cnki.jrme.2022.0361
Zhou HX, Che AL, Zhu RJ (2022) Damage evolution of rock slopes under seismic motions using shaking table test. Rock Mech Rock Eng 55:4979–4997. https://doi.org/10.1007/s00603-022-02921-9
Acknowledgements
The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China [grant numbers 41702371, 41572274], the State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining & Technology, Beijing [grant number SKLGDUEK2130] , Project Supported by State Key Laboratory of Earth Surface Processes and Resource Ecology (2022-KF-01) for providing generous funding for the project.
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Du, Y., Liu, J., Xie, M. et al. Experimental Study on the Real-Time Stability Assessment Method for Unstable Sliding Rock. Rock Mech Rock Eng 56, 6879–6888 (2023). https://doi.org/10.1007/s00603-023-03419-8
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DOI: https://doi.org/10.1007/s00603-023-03419-8