地震 Hoek-Brown 岩质边坡拟动力稳定性图表

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。

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.