Seismic pseudo-static stability analysis of bedding jointed rock slope stability under the interaction of the upper dangerous rock mass and lower stepped slope mass based on acceleration assessment

Abstract

In the practical slope engineering, the stability of lower sliding body (region A) with back tensile cracks of the jointed rock slope is received more attentions, but the upper rock mass (region B) may also be unstable. Therefore, in this study, based on the stepped failure mode of bedding jointed rock slopes, considering the influence of the upper rock mass on the lower stepped sliding body, the improved failure model for analyzing the interaction force (F_AB) between two regions is constructed, and the safety factors (F_S) of two regions and whole region (A and B) are derived. In addition, this paper proposes a method to determine the existence of F_AB using their respective acceleration values (a_A and a_B) when regions A and B are unstable. The influences of key parameters on two regions and the whole region are analyzed. The results show that the variation of the F_AB and F_S of two regions can be obtained accurately based on the improved failure model. The accuracy of the improved failure model is verified by comparative analysis. The research results can explain the interaction mechanism of two regions and the natural phenomenon of slope failure caused by the development of cracks.

Keywords

bedding jointed rock slope / upper dangerous rock mass / stepped sliding / interaction mechanism / stability analysis

References

[1] ZhaoL-h, LiD-j, TanH-h, et al.. Characteristics of failure area and failure mechanism of a bedding rockslide in Libo County, Guizhou, China [J]. Landslides, 2019, 16(7): 1367-1374

[2] XiangW, JiangJ-w, TangH-m, et al.. Deformation mechanism of Dagouwan landslide in Dongping reservoir [J]. Earth Science-Journal of China University of Geosciences, 2009, 34(5): 855-860

[3] ChenDStudy on deformation and failure mechanism and motion process of Liujian landslide [D], 2018, Xi’an. Xi’an University of Science and Technology. (in Chinese)

[4] TengG-lStability analysis on joint rock slope under earthquake action numerical simulation [M], 2012, Lanzhou. Lanzhou Institute of Seismology CEA. (in Chinese)

[5] HuangR-q, XuQCatastrophic landslides in China [M], 2008, Beijing. Science Press. (in Chinese)

[6] ZhouX-p, WeiX, LiuC, et al.. Three-dimensional stability analysis of bank slopes with reservoir drawdown based on rigorous limit equilibrium method [J]. International Journal of Geomechanics, 2020, 201204020229

[7] ZhouX-p, ChengH, WongL N Y. Three-dimensional stability analysis of seismically induced landslides using the displacement-based rigorous limit equilibrium method [J]. Bulletin of Engineering Geology and the Environment, 2019, 78(7): 4743-4756

[8] ZhouX-p, ChengH. Stability analysis of three-dimensional seismic landslides using the rigorous limit equilibrium method [J]. Engineering Geology, 2014, 174: 87-102

[9] ZhouX-p, ChengH. Analysis of stability of three-dimensional slopes using the rigorous limit equilibrium method [J]. Engineering Geology, 2013, 160: 21-33

[10] ZhouX-p, ZhaoX-d, WongL N Y, et al.. A modified Sarma method for stability analysis of layered slopes [J]. Bulletin of Engineering Geology and the Environment, 2019, 78(3): 1893-1909

[11] ZhouX-p, QianQ-h, ChengH, et al.. Stability analysis of two-dimensional landslides subjected to seismic loads [J]. Acta Mechanica Solida Sinica, 2015, 28(3): 262-276

[12] ChengH, ZhouX-p. A novel displacement-based rigorous limit equilibrium method for three-dimensional landslide stability analysis [J]. Canadian Geotechnical Journal, 2015, 52(12): 2055-2066

[13] LiuY-r, WuZ-s, ChangQ, et al.. Stability and reinforcement analysis of rock slope based on elastoplastic finite element method [J]. Journal of Central South University, 2015, 22(7): 2739-2751

[14] XuG-j, ZhongK-z, FanJ-w, et al.. Stability analysis of cohesive soil embankment slope based on discrete element method [J]. Journal of Central South University, 2020, 27(7): 1981-1991

[15] DengD-p, ZhaoL-h, LiL. Limit equilibrium analysis for rock slope stability using basic Hoek–Brown strength criterion [J]. Journal of Central South University, 2017, 24(9): 2154-2163

[16] YangG-h, ZhongZ-h, FuX-d, et al.. Slope analysis based on local strength reduction method and variable-modulus elasto-plastic model [J]. Journal of Central South University, 2014, 21(5): 2041-2050

[17] RanQ-h, QianQ, WangG-q, et al.. Analytical solution for slope instability assessment considering impact of confined aquifer [J]. Journal of Central South University, 2015, 22(4): 1502-1509

[18] YuanW, BaiB, LiX-c, et al.. A strength reduction method based on double reduction parameters and its application [J]. Journal of Central South University, 2013, 20(9): 2555-2562

[19] BaiB, YuanW, LiX-c. A new double reduction method for slope stability analysis [J]. Journal of Central South University, 2014, 21(3): 1158-1164

[20] LyuY-n, ChenX, TangJ-b, et al.. Application assessment of hybrid smoothed finite element method for geotechnical deformation and stability analysis [J]. Journal of Central South University, 2023, 30(3): 919-933

[21] ChenX, WangD-y, TangJ-b, et al.. Geotechnical stability analysis considering strain softening using micro-polar continuum finite element method [J]. Journal of Central South University, 2021, 28(1): 297-310

[22] LiD-q, JiangS-h, ChenY-f, et al.. System reliability analysis of rock slope stability involving correlated failure modes [J]. KSCE Journal of Civil Engineering, 2011, 15(8): 1349-1359

[23] Jimenez-RodriguezR, SitarN, ChacónJ. System reliability approach to rock slope stability [J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(6): 847-859

[24] GaoW, DaiS, XiaoT, et al.. Failure process of rock slopes with cracks based on the fracture mechanics method [J]. Engineering Geology, 2017, 231: 190-199

[25] LinY-l, LiY-x, ZhaoL-h, et al.. Investigation on seismic response of a three-stage soil slope supported by anchor frame structure [J]. Journal of Central South University, 2020, 27(4): 1290-1305

[26] YinY-m, DengQ-l, LiW-b, et al.. Insight into the crack characteristics and mechanisms of retrogressive slope failures: A large-scale model test [J]. Engineering Geology, 2023, 327107360

[27] ZhaoL-h, JiaoK-f, LiD-j, et al.. System reliability analysis of seismic pseudo-static stability of rock wedge based on nonlinear Barton: Bandis criterion [J]. Journal of Central South University, 2020, 27(11): 3450-3463

[28] ZhaoL-h, YuC-h, ChengX, et al.. A method for seismic stability analysis of jointed rock slopes using Barton-Bandis failure criterion [J]. International Journal of Rock Mechanics and Mining Sciences, 2020, 136104487

[29] ZhaoL-h, ZuoS, LiL, et al.. System reliability analysis of plane slide rock slope using Barton-Bandis failure criterion [J]. International Journal of Rock Mechanics and Mining Sciences, 2016, 88: 1-11

[30] ZhuC-q, ChengH-l, BaoY-j, et al.. Shaking table tests on the seismic response of slopes to near-fault ground motion [J]. Geomechanics and Engineering, 2022, 29(2): 133-143

[31] LiD-j, JiaW-t, ChengX, et al.. Limit state analysis of stepped sliding of jointed rock slope based on tensile-shear composite failure mode of rock bridges [J]. Bulletin of Engineering Geology and the Environment, 2022, 816233

[32] ZuoS, HuC-w, ZhaoL-h, et al.. Barton-Bandis criterion-based system reliability analysis of rock slopes [J]. Journal of Central South University, 2020, 27(7): 2123-2133

[33] LiD-j, JiaW-t, ZhaoL-h, et al.. Upper-bound limit analysis of rock slope stability with tensile strength cutoff based on the optimization strategy of dividing the tension zone and shear zone [J]. International Journal of Geomechanics, 2022, 22506022006

[34] LiD-j, JiaW-t, YangY-s, et al.. System reliability analysis of joint rock slopes with the stepped sliding surface considering hydraulic and seismic actions [J]. Acta Geotechnica, 2024, 19(5): 2889-2905

[35] PrassetyoS H, GutierrezM, BartonN. Nonlinear shear behavior of rock joints using a linearized implementation of the Barton-Bandis model [J]. Journal of Rock Mechanics and Geotechnical Engineering, 2017, 9(4): 671-682

[36] JenningsJ E. A mathematical theory for the calculation of the stability of slopes in open cast mine [J]. Proceeding of the Symposium on the Planning Open Pit Mines, 197087102Johannesburg

[37] ZhaoL-h, CaoJ-y, ZhangY-b, et al.. Effect of hydraulic distribution on the stability of a plane slide rock slope under the nonlinear Barton-Bandis failure criterion [J]. Geomechanics and Engineering, 2015, 8(3): 391-414

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Central South University