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Published in: Bulletin of Engineering Geology and the Environment 4/2023

01-04-2023 | Original Paper

Stability of bolt-supported concealed bedding rock slopes with respect to bi-planar failure

Authors: Chaoyi Sun, Congxin Chen, Wei Zhang, He Liu, Haina Zhang, Xugen Song

Published in: Bulletin of Engineering Geology and the Environment | Issue 4/2023

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Abstract

Bi-planar failure is one of the most common issues encountered in concealed bedding rock slopes (CBRSs). Fully grouted bolts are widely adopted to improve the stability of slopes and prevent failure due to their high efficacy and low cost. In this study, a bi-planar mechanical model is first established for the sliding body based on the interactions between active and passive blocks. The supporting forces supplied by fully grouted bolts are then introduced and limit equilibrium theory is used to analyze the stability of the bolted CBRSs. A parametric analysis is conducted to investigate the effects of varying the bolt angle (angle of the bolt with respect to the joint plane), bolt diameter, and bolt location on the stability of the CBRSs. Finally, comparisons are made between results obtained using the proposed method of analysis and discrete element modeling. The results obtained using the two different approaches are in good agreement. There is an optimal bolt angle that maximizes the stability of the bolted CBRSs–its value is approximately equal to the friction angle of the joint. The slope stability (and contribution made by the bolts) also increases with the diameter of the bolts used, the variation increasing according to a power function. The proposed method of analysis offers a sound basis for better understanding the mechanism by which fully grouted bolts reinforce such slopes and can be used as a useful design aid for protecting CBRSs against bi-planar failure.

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Literature
go back to reference Alejano LR, Ferrero AM, Ramírez-Oyanguren P, Álvarez Fernández MI (2011) Comparison of limit-equilibrium, numerical and physical models of wall slope stability. Int J Rock Mech Min Sci 48(1):16–26CrossRef Alejano LR, Ferrero AM, Ramírez-Oyanguren P, Álvarez Fernández MI (2011) Comparison of limit-equilibrium, numerical and physical models of wall slope stability. Int J Rock Mech Min Sci 48(1):16–26CrossRef
go back to reference Bahrani N, Tannant DD (2011) Field-scale assessment of effective dilation angle and peak shear displacement for a footwall slab failure surface. Int J Rock Mech Min Sci 48(4):565–579CrossRef Bahrani N, Tannant DD (2011) Field-scale assessment of effective dilation angle and peak shear displacement for a footwall slab failure surface. Int J Rock Mech Min Sci 48(4):565–579CrossRef
go back to reference Cai Y, Jiang Y, Djamaluddin I, Iura T, Esaki T (2015) An analytical model considering interaction behavior of grouted rock bolts for convergence–confinement method in tunneling design. Int J Rock Mech Min Sci 76:112–126CrossRef Cai Y, Jiang Y, Djamaluddin I, Iura T, Esaki T (2015) An analytical model considering interaction behavior of grouted rock bolts for convergence–confinement method in tunneling design. Int J Rock Mech Min Sci 76:112–126CrossRef
go back to reference Chen C, Peng Z (1996) The optimical reliability analysis of slope existing decisive joints in double-block failure pattern. J Cent South Univ Technol 27(4):387–391 Chen C, Peng Z (1996) The optimical reliability analysis of slope existing decisive joints in double-block failure pattern. J Cent South Univ Technol 27(4):387–391
go back to reference Chen L, Zhang W, Zheng Y, Gu D, Wang L (2020) Stability analysis and design charts for over-dip rock slope against bi-planar sliding. Eng Geol 275:105732CrossRef Chen L, Zhang W, Zheng Y, Gu D, Wang L (2020) Stability analysis and design charts for over-dip rock slope against bi-planar sliding. Eng Geol 275:105732CrossRef
go back to reference Chen H, Zhu H, Zhang L (2021) Analytical solution for deep circular tunnels in rock with consideration of disturbed zone, 3D strength and large strain. Rock Mech Rock Eng 54(3):1391–1410CrossRef Chen H, Zhu H, Zhang L (2021) Analytical solution for deep circular tunnels in rock with consideration of disturbed zone, 3D strength and large strain. Rock Mech Rock Eng 54(3):1391–1410CrossRef
go back to reference Chen H, Zhu H, Zhang L (2022a) A three-dimensional (3D) semi-analytical solution for the ultimate end-bearing capacity of rock-socketed shafts. Rock Mech Rock Eng 55(2):611–627CrossRef Chen H, Zhu H, Zhang L (2022a) A three-dimensional (3D) semi-analytical solution for the ultimate end-bearing capacity of rock-socketed shafts. Rock Mech Rock Eng 55(2):611–627CrossRef
go back to reference Chen H, Zhu H, Zhang L (2022b) An analytical approach to the ultimate bearing capacity of smooth and rough strip foundations on rock mass considering three-dimensional (3D) strength. Comput Geotech 149:104865CrossRef Chen H, Zhu H, Zhang L (2022b) An analytical approach to the ultimate bearing capacity of smooth and rough strip foundations on rock mass considering three-dimensional (3D) strength. Comput Geotech 149:104865CrossRef
go back to reference Cruden DM (2000) Some forms of mountain peaks in the Canadian Rockies controlled by their rock structure. Quatern Int 68:59–65CrossRef Cruden DM (2000) Some forms of mountain peaks in the Canadian Rockies controlled by their rock structure. Quatern Int 68:59–65CrossRef
go back to reference Fisher BR (2009) Improved characterization and analysis of bi-planar dip slope failures to limit model and parameter uncertainty in the determination of setback distances. The University of British Columbia, Vancouver, Canada (PhD Thesis) Fisher BR (2009) Improved characterization and analysis of bi-planar dip slope failures to limit model and parameter uncertainty in the determination of setback distances. The University of British Columbia, Vancouver, Canada (PhD Thesis)
go back to reference Gharsallaoui H, Jafari M, Holeyman A (2020) Pile end bearing capacity in rock mass using cavity expansion theory. J Rock Mech Geotech Eng 12(5):1103–1111CrossRef Gharsallaoui H, Jafari M, Holeyman A (2020) Pile end bearing capacity in rock mass using cavity expansion theory. J Rock Mech Geotech Eng 12(5):1103–1111CrossRef
go back to reference Grasselli G (2005) 3D behaviour of bolted rock joints: experimental and numerical study. Int J Rock Mech Min Sci 42(1):13–24CrossRef Grasselli G (2005) 3D behaviour of bolted rock joints: experimental and numerical study. Int J Rock Mech Min Sci 42(1):13–24CrossRef
go back to reference Havaej M, Stead D, Eberhardt E, Fisher BR (2014) Characterization of bi-planar and ploughing failure mechanisms in footwall slopes using numerical modelling. Eng Geol 178(16):109–120CrossRef Havaej M, Stead D, Eberhardt E, Fisher BR (2014) Characterization of bi-planar and ploughing failure mechanisms in footwall slopes using numerical modelling. Eng Geol 178(16):109–120CrossRef
go back to reference Havaej M, Wolter A, Stead D (2015) The possible role of brittle rock fracture in the 1963 Vajont Slide, Italy. Int J Rock Mech Min Sci 78(1):319–330CrossRef Havaej M, Wolter A, Stead D (2015) The possible role of brittle rock fracture in the 1963 Vajont Slide, Italy. Int J Rock Mech Min Sci 78(1):319–330CrossRef
go back to reference Huang R (2007) Large-scale landslides and their sliding mechanisms in China since the 20th century. Chin J Rock Mechan Eng 26(3):433–454 Huang R (2007) Large-scale landslides and their sliding mechanisms in China since the 20th century. Chin J Rock Mechan Eng 26(3):433–454
go back to reference Huang S, Ding X, Zhang Y, Weng Y, Wu Y, Zhang C (2020) Field and numerical investigation of high wall stability with thin, steeply dipping strata in an underground powerhouse. Int J Geomech 20(6):4020055CrossRef Huang S, Ding X, Zhang Y, Weng Y, Wu Y, Zhang C (2020) Field and numerical investigation of high wall stability with thin, steeply dipping strata in an underground powerhouse. Int J Geomech 20(6):4020055CrossRef
go back to reference Itasca Consulting Group Inc. (2004) UDEC (Universal Distinct Element Code). Version 4.0. Itasca International, Inc., Itasca, Minneapolis Itasca Consulting Group Inc. (2004) UDEC (Universal Distinct Element Code). Version 4.0. Itasca International, Inc., Itasca, Minneapolis
go back to reference 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. Int J Rock Mech Min Sci 104:34–44CrossRef 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. Int J Rock Mech Min Sci 104:34–44CrossRef
go back to reference Liu CH, Li YZ (2017) Analytical study of the mechanical behavior of fully grouted bolts in bedding rock slopes. Rock Mech Rock Eng 50(9):2413–2423CrossRef Liu CH, Li YZ (2017) Analytical study of the mechanical behavior of fully grouted bolts in bedding rock slopes. Rock Mech Rock Eng 50(9):2413–2423CrossRef
go back to reference Liu CN, Dong JJ, Chen CJ, Lee WF (2012) Typical landslides and related mechanisms in ali mountain highway induced by typhoon morakot: perspectives from engineering geology. Landslides 9(2):239–254CrossRef Liu CN, Dong JJ, Chen CJ, Lee WF (2012) Typical landslides and related mechanisms in ali mountain highway induced by typhoon morakot: perspectives from engineering geology. Landslides 9(2):239–254CrossRef
go back to reference Lu C, Cai C (2019) Challenges and countermeasures for construction safety during the Sichuan-Tibet railway project. Engineering 5(5):833–838CrossRef Lu C, Cai C (2019) Challenges and countermeasures for construction safety during the Sichuan-Tibet railway project. Engineering 5(5):833–838CrossRef
go back to reference National Standards Compilation Group of People’s Republic of China, GB 50010-2010 (2015) Code for design of concrete structures. China Architecture and Building Press, Beijing, China National Standards Compilation Group of People’s Republic of China, GB 50010-2010 (2015) Code for design of concrete structures. China Architecture and Building Press, Beijing, China
go back to reference National Standards Compilation Group of People’s Republic of China, GB 50330-2013 (2013) Technical code for building slope engineering. China Architecture and Building Press, Beijing, China National Standards Compilation Group of People’s Republic of China, GB 50330-2013 (2013) Technical code for building slope engineering. China Architecture and Building Press, Beijing, China
go back to reference National Standards Compilation Group of People’s Republic of China, GB/T 50218-2014 (2014) Standard for engineering classification of rock masses. China Planning Press, Beijing, China National Standards Compilation Group of People’s Republic of China, GB/T 50218-2014 (2014) Standard for engineering classification of rock masses. China Planning Press, Beijing, China
go back to reference Ning YJ, An XM, Ma GW (2011) Footwall slope stability analysis with the numerical manifold method. Int J Rock Mech Min Sci 48(6):964–975CrossRef Ning YJ, An XM, Ma GW (2011) Footwall slope stability analysis with the numerical manifold method. Int J Rock Mech Min Sci 48(6):964–975CrossRef
go back to reference Oreste PP, Cravero M (2008) An analysis of the action of dowels on the stabilization of rock blocks on underground excavation walls. Rock Mech Rock Eng 41(6):835–868CrossRef Oreste PP, Cravero M (2008) An analysis of the action of dowels on the stabilization of rock blocks on underground excavation walls. Rock Mech Rock Eng 41(6):835–868CrossRef
go back to reference Pellet F, Egger P (1996) Analytical model for the mechanical behaviour of bolted rock joints subjected to shearing. Rock Mech Rock Eng 29(2):73–97CrossRef Pellet F, Egger P (1996) Analytical model for the mechanical behaviour of bolted rock joints subjected to shearing. Rock Mech Rock Eng 29(2):73–97CrossRef
go back to reference Ranjbarnia M, Rashedi MM, Dias D (2022) Analytical and numerical simulations to investigate effective parameters on pre-tensioned rockbolt behavior in rock slopes. Bull Eng Geol Environ 81(2):74CrossRef Ranjbarnia M, Rashedi MM, Dias D (2022) Analytical and numerical simulations to investigate effective parameters on pre-tensioned rockbolt behavior in rock slopes. Bull Eng Geol Environ 81(2):74CrossRef
go back to reference Siad L (2001) Stability analysis of jointed rock slopes reinforced by passive, fully grouted bolts. Comput Geotech 28(5):325–347CrossRef Siad L (2001) Stability analysis of jointed rock slopes reinforced by passive, fully grouted bolts. Comput Geotech 28(5):325–347CrossRef
go back to reference Siad L, Megueddem M (1998) Stability analysis of jointed rock slope. Mech Res Commun 25(6):661–670CrossRef Siad L, Megueddem M (1998) Stability analysis of jointed rock slope. Mech Res Commun 25(6):661–670CrossRef
go back to reference Song D, Bai Y, Chen XQ, Zhou GG, Choi CE, Pasuto A, Peng P (2022) Assessment of debris flow multiple-surge load model based on the physical process of debris-barrier interaction. Landslides 19(5):1165–1177CrossRef Song D, Bai Y, Chen XQ, Zhou GG, Choi CE, Pasuto A, Peng P (2022) Assessment of debris flow multiple-surge load model based on the physical process of debris-barrier interaction. Landslides 19(5):1165–1177CrossRef
go back to reference Sun C, Chen C, Zheng Y, Zhang W, Liu F (2019) Numerical and theoretical study of bi-planar failure in footwall slopes. Eng Geol 260:105234CrossRef Sun C, Chen C, Zheng Y, Zhang W, Liu F (2019) Numerical and theoretical study of bi-planar failure in footwall slopes. Eng Geol 260:105234CrossRef
go back to reference Sun C, Chen C, Zheng Y, Xia K (2020) Limit-equilibrium analysis of stability of footwall slope with respect to biplanar failure. Int J Geomech 20(1):04019137CrossRef Sun C, Chen C, Zheng Y, Xia K (2020) Limit-equilibrium analysis of stability of footwall slope with respect to biplanar failure. Int J Geomech 20(1):04019137CrossRef
go back to reference Sun C, Chen C, Zheng Y, Pan Y, Zhang Y (2021) Analysis of stability of concealed cataclinal slopes with talus deposits accumulated at their toes with respect to biplanar failure. Int J Geomech 21(11):04021219CrossRef Sun C, Chen C, Zheng Y, Pan Y, Zhang Y (2021) Analysis of stability of concealed cataclinal slopes with talus deposits accumulated at their toes with respect to biplanar failure. Int J Geomech 21(11):04021219CrossRef
go back to reference Sun C, Chen C, Zheng Y, Xia K, Ren Z (2022) Assessing the stability of dip slopes based on analyzing the stress at a key point on the sliding surface. Int J Geomech 22(9):04022152CrossRef Sun C, Chen C, Zheng Y, Xia K, Ren Z (2022) Assessing the stability of dip slopes based on analyzing the stress at a key point on the sliding surface. Int J Geomech 22(9):04022152CrossRef
go back to reference Tan CH (2016) Difference solution of passive bolts reinforcement around a circular opening in elastoplastic rock mass. Int J Rock Mech Min Sci 81:28–38CrossRef Tan CH (2016) Difference solution of passive bolts reinforcement around a circular opening in elastoplastic rock mass. Int J Rock Mech Min Sci 81:28–38CrossRef
go back to reference Wang FW, Zhang YM, Huo ZT, Matsumoto T, Huang BL (2004) The July 14, 2003 Qianjiangping landslide, three gorges reservoir, China. Landslides 1(2):157–162CrossRef Wang FW, Zhang YM, Huo ZT, Matsumoto T, Huang BL (2004) The July 14, 2003 Qianjiangping landslide, three gorges reservoir, China. Landslides 1(2):157–162CrossRef
go back to reference Wu R, Zhang Y, Guo C, Yang Z, Tang J, Su F (2020) Landslide susceptibility assessment in mountainous area: a case study of Sichuan-Tibet railway, China. Environ Earth Sci 79(6):1–16CrossRef Wu R, Zhang Y, Guo C, Yang Z, Tang J, Su F (2020) Landslide susceptibility assessment in mountainous area: a case study of Sichuan-Tibet railway, China. Environ Earth Sci 79(6):1–16CrossRef
go back to reference Xia K, Chen C, Wang T, Zheng Y, Wang Y (2022) Estimating the geological strength index and disturbance factor in the Hoek-Brown criterion using the acoustic wave velocity in the rock mass. Eng Geol 306:106745CrossRef Xia K, Chen C, Wang T, Zheng Y, Wang Y (2022) Estimating the geological strength index and disturbance factor in the Hoek-Brown criterion using the acoustic wave velocity in the rock mass. Eng Geol 306:106745CrossRef
go back to reference Yin Y, Sun P, Zhang M, Li B (2011) Mechanism on apparent dip sliding of oblique inclined bedding rockslide at jiweishan, chongqing, china. Landslides 8(1):49–65CrossRef Yin Y, Sun P, Zhang M, Li B (2011) Mechanism on apparent dip sliding of oblique inclined bedding rockslide at jiweishan, chongqing, china. Landslides 8(1):49–65CrossRef
go back to reference Zhao L, Li D, Tan H, Cheng X, Zuo S (2019) Characteristics of failure area and failure mechanism of a bedding rockslide in Libo County, Guizhou, China. Landslides 16(7):1367–1374CrossRef Zhao L, Li D, Tan H, Cheng X, Zuo S (2019) Characteristics of failure area and failure mechanism of a bedding rockslide in Libo County, Guizhou, China. Landslides 16(7):1367–1374CrossRef
go back to reference Zheng Y, Chen C, Liu T, Song D, Meng F (2019) Stability analysis of anti-dip bedding rock slopes locally reinforced by rock bolts. Eng Geol 251:228–240CrossRef Zheng Y, Chen C, Liu T, Song D, Meng F (2019) Stability analysis of anti-dip bedding rock slopes locally reinforced by rock bolts. Eng Geol 251:228–240CrossRef
go back to reference Zheng Y, Chen C, Liu T, Ren Z (2021) A new method of assessing the stability of anti-dip bedding rock slopes subjected to earthquake. Bull Eng Geol Env 80(5):3693–3710CrossRef Zheng Y, Chen C, Liu T, Ren Z (2021) A new method of assessing the stability of anti-dip bedding rock slopes subjected to earthquake. Bull Eng Geol Env 80(5):3693–3710CrossRef
Metadata
Title
Stability of bolt-supported concealed bedding rock slopes with respect to bi-planar failure
Authors
Chaoyi Sun
Congxin Chen
Wei Zhang
He Liu
Haina Zhang
Xugen Song
Publication date
01-04-2023
Publisher
Springer Berlin Heidelberg
Published in
Bulletin of Engineering Geology and the Environment / Issue 4/2023
Print ISSN: 1435-9529
Electronic ISSN: 1435-9537
DOI
https://doi.org/10.1007/s10064-023-03131-5

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