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| Upper bound analysis of stability of concealed bedding rock slopes under earthquake action |
| SUN Chaoyi1, LI Hongqiang2, CHEN Congxin1, ZHENG Yun1, YUAN Jiahao1, LIU Caihua1 |
(1. State Key Laboratory of Geomechanics and Geotechnical Engineering Safety, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China; 2. PowerChina Chengdu Engineering Corporation Limited,
Chengdu, Sichuan 610072, China) |
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Abstract Earthquakes play a critical role in the catastrophic destabilization of concealed bedding rock slopes (CBRSs). However, established methods for assessing the stability of these slopes under seismic conditions are lacking. This study proposes a method for determining the pseudo-static coefficient by analyzing extensive results from shaking table model tests of CBRSs, which accounts for the peak acceleration amplification effect with elevation. Based on the shattering-sliding failure mechanisms of CBRSs under seismic loading, a double-slip model along with its kinematically admissible velocity field is developed. Utilizing the upper bound theorem of limit analysis, a stability analysis method for CBRSs subjected to seismic conditions is presented. Additionally, a comparative analysis of slope stability is conducted through two case studies, further validating the proposed method. The findings indicate that under seismic action, these slopes are particularly vulnerable to catastrophic sliding failure, exhibiting nonlinear and segmented characteristics in both the peak acceleration amplification effect and the surface amplification effect. As the amplitudes of horizontal and vertical seismic waves increase, the stability coefficient of the CBRSs decreases linearly, accompanied by a slight reduction in the thickness of the potential sliding mass. Notably, the stability coefficient exhibits a more significant decrease when accounting for the dynamic elevation amplification effect of seismic acceleration. Furthermore, the stability coefficient of CBRSs decreases as a power function in relation to increasing slope angle and height, while the thickness of the potential sliding mass decreases with an increasing slope angle but increases with rising slope height and structural plane strength. A comparative analysis between the proposed method and two case studies from the literature reveals strong agreement in the calculated results, thereby validating the accuracy and reliability of the method. These findings provide valuable insights for the stability evaluation and treatment design of CBRSs under seismic conditions.
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