基于严格条分法的拟动力地震边坡稳定性分析方法研究  

Pseudo-dynamic seismic slope stability analysis based on rigorous slice method

作　　者：蒋青江 邓亚虹[1,2] 杨楠 孙龙飞 慕焕东 JIANG Qingjiang;DENG Yahong;YANG Nan;SUN Longfei;MU Huandong(School of Geology Engineering and Geomatics,Chang'an University,Xi'an 710061,Shaanxi,China;Key Laboratory of Mine Geological Hazards Mechanism and Control,Xi'an 710061,Shaanxi,China;Institute of Geotechnical Engineering,Xi'an University of Technology,Ministry of Natural Resources,Xi'an 710043,Shaanxi,China)

机构地区：[1]长安大学地质工程与测绘学院,陕西西安710061 [2]自然资源部矿山地质灾害成灾机理与防控重点实验室,陕西西安710061 [3]西安理工大学岩土工程研究所,陕西西安710043

出　　处：《地震工程学报》2023年第3期716-723,共8页China Earthquake Engineering Journal

基　　金：国家自然科学基金(41772275);中央高校基本科研业务费专项资金(300102268203,30010261716);长安大学中央高校基本科研业务费专项资金(300102262505);陕西省教育厅科学研究计划专项项目(20JK0801);陕西省自然科学基础研究计划一般项目(2022JQ-289)。

摘　　要：将拟动力法基本原理与极限平衡法中的严格条分法(Sarma法)相结合,推导边坡地震力和安全系数的计算公式;在此基础上,基于Python语言开发相应的计算程序,实现一种考虑波动效应的、适用于任意滑面形状和任意滑块条分的拟动力地震边坡稳定性分析新方法;同时,探讨地震动特性和结构面强度对边坡地震稳定性的影响。研究表明:随着地震波初始相位的变化,边坡的安全系数呈现周期性的波动变化,且存在最小安全系数;边坡安全系数随着地震动幅值和地震波波长/坡高比的增大而减小;当滑块结构面抗剪强度参数下降时,边坡安全系数随之减小。此外,通过波动理论揭示拟静力法与拟动力法的区别与联系:当地震波波长与坡高比大于10时,两种方法的结果基本一致;当地震波波长与坡高比小于10时,拟静力法所得结果比拟动力法保守,拟动力法更合理。In this paper,a formula for calculating the seismic force and safety factor of the slope was derived using the limit equilibrium method based on the basic principle of pseudo-dynamic and rigorous slice methods(Sarma method).Thus,a corresponding calculation program was developed based on the Python language.Furthermore,a new pseudo-dynamic method for analyzing the seismic slope stability considering the wave propagation effect was achieved,which is suitable for random slip surfaces and slider slices.The effect of ground motion characteristics and structural plane strength on the seismic stability of slopes was also discussed.Research results show that the safety factor fluctuates periodically with changes in the initial phase of seismic waves,and a minimum safety factor is observed.The safety factor decreases with an increase in the amplitude of ground motion and the ratio of seismic wavelength to slope height,and it decreases with a decrease in the shear strength parameters of the structural plane.In addition,the difference and relationship between the pseudo-static and pseudo-dynamic methods were determined on the basis of the wave theory:if the ratio of the seismic wavelength to the slope height is greater than 10,then the results obtained by the two methods are the same;if the ratio is less than 10,then the results obtained by the pseudo-static method are relatively conservative compared with those obtained by the pseudo-dynamic method.Thus,the pseudo-dynamic method is more reasonable.

关 键 词：边坡稳定性 极限平衡法 拟动力法 拟静力法 SARMA法 安全系数 

分 类 号：P642.22[天文地球—工程地质学]