基于小波变换和拟动力法的边坡地震稳定性评价方法  

Seismic stability evaluation method of slope based on wavelet transform and pseudo-dynamic method

作　　者：钱法桥 邓亚虹[1,2] 慕焕东 杨楠[1] 刘凡 王梦晨 QIAN Fa-qiao;DENG Ya-hong;MU Huan-dong;YANG Nan;LIU Fan;WANG Meng-chen(College of Geology Engineering and Geomatics,Chang’an University,Xi’an,Shaanxi 710054,China;Key Laboratory of Western Mineral Resources and Geological Hazards Mechanism and Control,Xi’an,Shaanxi 710054,China;Institute of Geotechnical Engineering,Xi’an University of Technology,Xi’an,Shaanxi 710048,China)

机构地区：[1]长安大学地质工程与测绘学院,陕西西安710054 [2]矿山地质灾害成灾机理与防控重点实验室,陕西西安710054 [3]西安理工大学岩土工程研究所,陕西西安710048

出　　处：《岩土力学》2025年第1期88-96,109,共10页Rock and Soil Mechanics

基　　金：国家自然科学基金项目(No.41772275)。

摘　　要：结合简化Bishop法,推导了地震作用下边坡的稳定性计算公式,包括拟静力法(pseudo-static method,简称PSM)、经典拟动力法(pseudo-dynamic method,简称PDM)和修正拟动力法(modified pseudo-dynamic method,简称MPDM)。其中,修正拟动力法将土体视为Kelvin-Voigt材料,考虑了土体的黏弹特性和放大特性。在此基础上,对修正拟动力法进行了推广,使剪应力在坡顶、坡面处均为0,符合边坡应力特征。然后,基于Morlet小波分析,以El centro波为研究对象获得了地震波的频谱分布特征。通过提取峰值加速度PGA时刻的卓越频率,提出了一种考虑地震动时频特征的边坡地震稳定性评价方法。最后,将各方法与实例进行了验证。结果表明:拟动力法所需参数较少且意义明确,能够快速、准确地评价边坡地震稳定性,与时程分析方法结果接近。该研究成果可为边坡地震危险性评价、地震滑坡灾害范围分析预测、抗震应急抢险提供理论依据。Based on the simplified Bishop method,formulas for calculating slope seismic stability are derived,which include the pseudo-static method(PSM),classical pseudo-dynamic method(PDM)and modified pseudo-dynamic method(MPDM).Among these,MPDM treats soil as Kelvin-Voigt material,considering its viscoelastic and amplification characteristics.MPDM is then applied to slope conditions.Subsequently,Morlet wavelet analysis is used to determine the spectral distribution characteristics of seismic waves,with the El Centro wave as the research object.A method for evaluating the seismic stability of slopes is proposed,taking into account the time-frequency characteristics of ground motion by identifying the predominant frequency at the moment of peak ground acceleration(PGA).The effectiveness of this method is validated through illustrative examples.The results show that slope seismic stability can be assessed rapidly and accurately using the pseudo-dynamic method,which requires fewer parameters and provides clear interpretations,closely resembling the results of the time-history analysis method.These research findings establish a theoretical basis for the seismic risk assessment of slopes,the analysis and prediction of the scope of seismic landslide disasters and earthquake emergency response.

关 键 词：拟动力 修正拟动力 小波变化 地震 滑坡 稳定性 

分 类 号：TU435[建筑科学—岩土工程]