SV波作用下岩质边坡地震稳定性的时频分析方法研究
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摘要
基于弹性波动理论和概化地质分析模型,利用希伯来–黄(Hilbert-Huang)变换,提出SV波作用下岩质边坡地震稳定性的时频分析方法,并且通过振动台试验和数值分析结果对其合理性进行验证。该方法不仅能够考虑SV波的幅值、频率、持时三要素对边坡地震稳定性的影响,而且能够预测岩质边坡的安全性、滑坡发生的时间和规模,同时也能够为高烈度区支挡结构开展抗震时频设计提供一定的参考。
Based on the theory of elastic wave and the summarized geological model,a new time-frequency analysis method of the rock slope seismic stability is put forward by using the Hilbert-Huang transform.The rationality of this method has been verified by the results of shaking table test and numerical simulation.This method not only considers the amplitude-time-frequency effects,but also can forecast the safety of the slope,the time occurring the landslide and its scale.At the same time,this method can provide the valuable references for the time-history seismic design of retaining structure in the high intensity earthquake area.
Based on the theory of elastic wave and the summarized geological model,a new time-frequency analysis method of the rock slope seismic stability is put forward by using the Hilbert-Huang transform.The rationality of this method has been verified by the results of shaking table test and numerical simulation.This method not only considers the amplitude-time-frequency effects,but also can forecast the safety of the slope,the time occurring the landslide and its scale.At the same time,this method can provide the valuable references for the time-history seismic design of retaining structure in the high intensity earthquake area.
引文
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[6]崔芳鹏.地震P-S波时差耦合作用的斜坡崩滑效应研究[博士学位论文][D].北京:中国科学院地质与地球物理研究所,2009.(CUIFangpeng.Study on collapsing and sliding response of slope triggeredby single and combined action with time difference of P and S seismicwaves[Ph.D.Thesis][D].Beijing:Institute of Geology and Geophysics,Chinese Academy of Sciences,2009.(in Chinese))
[7]崔芳鹏,胡瑞林,殷跃平,等.纵横波时差耦合作用的斜坡崩滑效应离散元分析——以北川唐家山滑坡为例[J].岩石力学与工程学报,2010,29(2):319–327.(CUI Fangpeng,HU Ruilin,YIN Yueping,et al.Discrete element analysis of collapsing and sliding response ofslope triggered by time difference coupling effects of P and S seismicwaves—taking Tangjiashan landslide in Beichuan county forexample[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(2):319–327.(in Chinese))
[8]李世海,刘天萍,刘晓宇.论滑坡稳定性分析方法[J].岩石力学与工程学报,2009,28(增2):3309–3324.(LI Shihai,LIU Tianping,LIU Xiaoyu.Analysis method for landslide stability[J].ChineseJournal of Rock Mechanics and Engineering,2009,28(Supp.2):3 309–3 324.(in Chinese))
[9]殷跃平.汶川八级地震地质灾害研究[J].工程地质学报,2008,16(4):433–444.(YIN yueping.Researches on the geo-hazardstriggered by Wenchuan 8.0 earthquake,Sichuan[J].Journal ofEngineering Geology,2008,16(4):433–444.(in Chinese))
[10]樊晓一,乔建平.“坡”、“场”因素对大型滑坡运动特征的影响[J].岩石力学与工程学报,2010,29(11):2337–2347.(FAN Xiaoyi,QIAO Jianping.Influence of landslide and ground factors on large-scale landslide movement[J].Chinese Journal of Rock Mechanics andEngineering,2010,29(11):2 337–2 347.(in Chinese))
[11]杜修力.工程波动理论与方法[M].北京:科学出版社,2009:30–40.(DU Xiuli.Engineering wave theory and method[M].Beijing:Science Press,2009:30–40.(in Chinese))
[12]HUANG N E,SHEN Z,LONG S R,et al.The empirical modedecomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proceedings of the Royal Society,1998,454(A):903–995.
[13]周锡元,徐渭,符圣聪.地震工程概论[M].北京:科学出版社,1977:1–12.(ZHOU Xiyuan,XU Wei,FU Shengcong.Introductionto earthquake engineering[M].Beijing:Science Press,1977:1–12.(inChinese))
[14]陈祖煜.岩质边坡稳定分析——原理.方法.程序[M].北京:中国水利水电出版社,2005:47–49.(CHEN Zuyu.Rock slope stabilityanalysis—theory,methods,programs[M].Beijing:China Water PowerPress,2005:47–49.(in Chinese))
[15]胡聿贤,何训.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程振动,1986,(2):37–51.(HU Luxian,HE Xun.Phase angleconsideration in generating response spectrum-compatible groundmotion[J].Earthquake Engineering and Engineering Vibration,1986,(2):37–51.(in Chinese))
[16]陈国兴.岩土地震工程学[M].北京:科学出版社,2007:11–25.(CHEN Guoxing.Geotechnical earthquake engineering[M].Beijing:Science Press,2007:11–25.(in Chinese))
[17]石崇,周家文,任强,等.单面边坡高程放大效应的射线理论解[J].河海大学学报:自然科学版,2008,36(2):238–241.(SHIChong,ZHOU Jiawen,REN Qiang,et al.Ray theory solution of theelevation amplification effect on a single-free-face slope[J].Journal ofHohai University:Natural Sciences,2008,36(2):238–241.(inChinese))
[18]祁生文,伍法权,刘春玲,等.地震边坡稳定性的工程地质分析[J].岩石力学与工程学报,2004,23(16):2792–2797.(QI Shengwen,WU Faquan,LIU Chunling,et al.Engineering geology analysis ofstability of slope under earthquake[J].Chinese Journal of RockMechanics and Engineering,2004,23(16):2 792–2 797.(in Chinese))
[19]冯文凯,许强,黄润秋.斜坡震裂变形力学机制初探[J].岩石力学与工程学报,2009,28(增1):3124–3130.(FENG Wengai,XUQiang,HUANG Runqiu.Preliminary study on mechanical mechanismof slope earthquake-induced deformation[J].Chinese Journal of RockMechanics and Engineering,2009,28(Supp.1):3 124–3 130.(inChinese))
[20]杨长卫,张建经.双面高陡边坡的地震滑坡响应分析[J].西南交通大学学报,2013,48(3):1–8.(YANG Changwei,ZHANG Jianjing.Analysis on landslide responses of a high steep hill with two-sideslopes underground shaking[J].Journal of Southwest Jiaotong University,2013,48(3):1–8.(in Chinese))
[2]LAM L,FREDLUND D G.A general limit equilibrium model forthree-dimensional slope stability analyses[J].Canadian GeotechnicalJournal,1993,30(6):905–919.
[3]LESHCHINSKY D,BAKER R,SILVER M L.Three-dimensionalanalysis of slope stability[J].International Journal for Numerical andAnalytical Method in Geomechanics,1985,9(3):199–223.
[4]郑颖人,叶海林,黄润秋.地震边坡破坏机制及其破裂面的分析探讨[J].岩石力学与工程学报,2009,28(8):1714–1723.(ZHENGYingren,YE Hailing,HUANG Runqiu.Analysis and discussion offailure mechanism and fracture surface of slope under earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(8):1 714–1 723.(in Chinese))
[5]曹琰波,戴福初,许冲,等.唐家山滑坡变形运动机制的离散元模拟[J].岩石力学与工程学报,2011,30(增1):2878–2887.(CAOYanbo,DAI Fuchu,XU Chong,et al.Discrete element simulation ofdeformation and movement mechanism for Tangjiashan landslide[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(Supp.1):2 878–2 887.(in Chinese))
[6]崔芳鹏.地震P-S波时差耦合作用的斜坡崩滑效应研究[博士学位论文][D].北京:中国科学院地质与地球物理研究所,2009.(CUIFangpeng.Study on collapsing and sliding response of slope triggeredby single and combined action with time difference of P and S seismicwaves[Ph.D.Thesis][D].Beijing:Institute of Geology and Geophysics,Chinese Academy of Sciences,2009.(in Chinese))
[7]崔芳鹏,胡瑞林,殷跃平,等.纵横波时差耦合作用的斜坡崩滑效应离散元分析——以北川唐家山滑坡为例[J].岩石力学与工程学报,2010,29(2):319–327.(CUI Fangpeng,HU Ruilin,YIN Yueping,et al.Discrete element analysis of collapsing and sliding response ofslope triggered by time difference coupling effects of P and S seismicwaves—taking Tangjiashan landslide in Beichuan county forexample[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(2):319–327.(in Chinese))
[8]李世海,刘天萍,刘晓宇.论滑坡稳定性分析方法[J].岩石力学与工程学报,2009,28(增2):3309–3324.(LI Shihai,LIU Tianping,LIU Xiaoyu.Analysis method for landslide stability[J].ChineseJournal of Rock Mechanics and Engineering,2009,28(Supp.2):3 309–3 324.(in Chinese))
[9]殷跃平.汶川八级地震地质灾害研究[J].工程地质学报,2008,16(4):433–444.(YIN yueping.Researches on the geo-hazardstriggered by Wenchuan 8.0 earthquake,Sichuan[J].Journal ofEngineering Geology,2008,16(4):433–444.(in Chinese))
[10]樊晓一,乔建平.“坡”、“场”因素对大型滑坡运动特征的影响[J].岩石力学与工程学报,2010,29(11):2337–2347.(FAN Xiaoyi,QIAO Jianping.Influence of landslide and ground factors on large-scale landslide movement[J].Chinese Journal of Rock Mechanics andEngineering,2010,29(11):2 337–2 347.(in Chinese))
[11]杜修力.工程波动理论与方法[M].北京:科学出版社,2009:30–40.(DU Xiuli.Engineering wave theory and method[M].Beijing:Science Press,2009:30–40.(in Chinese))
[12]HUANG N E,SHEN Z,LONG S R,et al.The empirical modedecomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proceedings of the Royal Society,1998,454(A):903–995.
[13]周锡元,徐渭,符圣聪.地震工程概论[M].北京:科学出版社,1977:1–12.(ZHOU Xiyuan,XU Wei,FU Shengcong.Introductionto earthquake engineering[M].Beijing:Science Press,1977:1–12.(inChinese))
[14]陈祖煜.岩质边坡稳定分析——原理.方法.程序[M].北京:中国水利水电出版社,2005:47–49.(CHEN Zuyu.Rock slope stabilityanalysis—theory,methods,programs[M].Beijing:China Water PowerPress,2005:47–49.(in Chinese))
[15]胡聿贤,何训.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程振动,1986,(2):37–51.(HU Luxian,HE Xun.Phase angleconsideration in generating response spectrum-compatible groundmotion[J].Earthquake Engineering and Engineering Vibration,1986,(2):37–51.(in Chinese))
[16]陈国兴.岩土地震工程学[M].北京:科学出版社,2007:11–25.(CHEN Guoxing.Geotechnical earthquake engineering[M].Beijing:Science Press,2007:11–25.(in Chinese))
[17]石崇,周家文,任强,等.单面边坡高程放大效应的射线理论解[J].河海大学学报:自然科学版,2008,36(2):238–241.(SHIChong,ZHOU Jiawen,REN Qiang,et al.Ray theory solution of theelevation amplification effect on a single-free-face slope[J].Journal ofHohai University:Natural Sciences,2008,36(2):238–241.(inChinese))
[18]祁生文,伍法权,刘春玲,等.地震边坡稳定性的工程地质分析[J].岩石力学与工程学报,2004,23(16):2792–2797.(QI Shengwen,WU Faquan,LIU Chunling,et al.Engineering geology analysis ofstability of slope under earthquake[J].Chinese Journal of RockMechanics and Engineering,2004,23(16):2 792–2 797.(in Chinese))
[19]冯文凯,许强,黄润秋.斜坡震裂变形力学机制初探[J].岩石力学与工程学报,2009,28(增1):3124–3130.(FENG Wengai,XUQiang,HUANG Runqiu.Preliminary study on mechanical mechanismof slope earthquake-induced deformation[J].Chinese Journal of RockMechanics and Engineering,2009,28(Supp.1):3 124–3 130.(inChinese))
[20]杨长卫,张建经.双面高陡边坡的地震滑坡响应分析[J].西南交通大学学报,2013,48(3):1–8.(YANG Changwei,ZHANG Jianjing.Analysis on landslide responses of a high steep hill with two-sideslopes underground shaking[J].Journal of Southwest Jiaotong University,2013,48(3):1–8.(in Chinese))
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