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地震 Hoek-Brown 岩质边坡拟动力稳定性图表

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Pseudo-dynamic stability chart for seismic rock slopes in Hoek-Brown media

期刊信息

合肥工业大学（自然科学版），2025年7月，第48卷第7期：975-982

DOI: 10.3969/j.issn.1003-5060.2025.07.018

作者信息

李婷婷，孙志彬，王博文，李永鑫

（合肥工业大学汽车与交通工程学院，安徽合肥230009）

摘要和关键词

摘要: 传统拟静力稳定图表无法表征地震动力特性对边坡稳定的影响。针对三维 Hoek-Brown 岩质边坡地震安全系数的快速获取,文章提出一种新的基于图表的计算方法,采用相变影响标度因子 $ f_{\lambda/H} $ 与加速度放大影响标度因子 $ f_{f} $ 对传统的拟静力图表结果进行修正,得到的安全系数解能够充分反映地震波的动态传播特征。采用拟动力方法结合三维极限分析计算岩质边坡在三维地震安全系数,通过回归分析,建立标度因子的表达式。60 组数据对比结果表明,通过标度因子得到的修正解与理论模型解析解的平均差异只有 0.8%。该方法简单明了、效率较高,可用于地震岩石边坡设计和稳定性评估。

关键词: 岩质边坡；拟动力；安全系数；标度因子；稳定性评估

Authors

LI Tingting, SUN Zhibin, WANG Bowen, LI Yongxin

(School of Automobile and Traffic Engineering, Hefei University of Technology, Hefei 230009, China)

Abstract and Keywords

Abstract: Traditional pseudo-static stability charts cannot characterize the influence of seismic dynamic properties on slope stability. A new chart-based method is proposed for the rapid acquisition of seismic safety factors for three-dimensional Hoek-Brown rock slopes. The method adopts phase change scale factor $ f_{\lambda/H} $ and acceleration amplification scale factor $ f_{f} $ to modify the traditional pseudo-static chart results, and the obtained safety factor can fully reflect the dynamic propagation characteristics of seismic waves. The expressions of scale factors are established by regression analysis using the combination of pseudo-dynamic method with 3D limit analysis. Comparison of 60 sets of data shows that the average difference between the corrected solution obtained by the scale factor and the analytical solution from the theoretical model is only 0.8%. The method is simple, straightforward and efficient, and can be used for seismic rock slope design and stability assessment.

Keywords: rock slope; pseudo-dynamic; safety factor; scale factor; stability assessment

基金信息

国家自然科学基金资助项目（52108312）；安徽省自然科学基金资助项目（2108085QE250）

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