地震作用下隐伏顺层岩质边坡稳定性上限分析

doi:10.3724/1000-6915.jrme.2024.0729

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摘要地震是诱发隐伏顺层岩质边坡灾变失稳的重要因素，但是地震作用下该类边坡稳定性评价方法较为匮乏。通过整理大量隐伏顺层岩质边坡振动台模型试验结果，提出一种考虑加速度高程动态放大效应的拟静力系数取值方法；基于地震作用下隐伏顺层岩质边坡溃滑破坏机制，建立该类边坡双滑体模型及其运动许可速度场，采用极限分析上限原理提出地震作用下该类边坡稳定性分析方法；并通过2个案例进行边坡稳定性对比分析。研究结果表明，在地震作用下，该类边坡容易发生溃滑破坏，其峰值加速度高程放大效应和趋表放大效应具有非线性和分段性特征；随着水平向地震波和竖向地震波幅值增大，隐伏顺层岩质边坡稳定系数均呈线性减小趋势，潜在滑体厚度亦均略微减小，且考虑地震加速度高程动态放大效应时边坡稳定系数降低显著；隐伏顺层岩质边坡稳定系数随边坡坡度和高度的增加均呈幂函数减小趋势，潜在滑体厚度随边坡坡度增加而减小、随坡高和结构面强度的增加而增加。所提隐伏顺层岩质边坡双滑体极限分析上限法计算结果与2个案例结果十分吻合，验证所提方法的合理性和准确性。研究成果对地震作用下隐伏顺层岩质边坡的稳定性评价和治理设计具有指导意义。

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	孙朝燚1
	李洪强2
	陈从新1
	郑允1
	袁家好1
	刘才华1

关键词 ：边坡工程, 岩质边坡, 隐伏顺层边坡, 拟静力法, 极限分析, 上限定理

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.

Key words： slope engineering rock slopes concealed bedding slopes pseudo-static method limit analysis upper bound theorem

引用本文:

孙朝燚1，李洪强2，陈从新1，郑允1，袁家好1，刘才华1. 地震作用下隐伏顺层岩质边坡稳定性上限分析[J]. 岩石力学与工程学报, 2025, 44(8): 2101-2111.
SUN Chaoyi1, LI Hongqiang2, CHEN Congxin1, ZHENG Yun1, YUAN Jiahao1, LIU Caihua1. Upper bound analysis of stability of concealed bedding rock slopes under earthquake action. , 2025, 44(8): 2101-2111.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.3724/1000-6915.jrme.2024.0729 或 https://rockmech.whrsm.ac.cn/CN/Y2025/V44/I8/2101

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