考虑散射效应沉积河谷空间相关多点地震动模拟
|
摘要
提出了一种考虑地震波散射效应的沉积河谷空间相关多点地震动模拟方法。基于弹性波传播理论,采用合理功率谱、相干函数和传递函数模型,借助原型谱表示法得到沉积河谷空间相关多点地震动,并验证了方法的可行性。其中,传递函数应用动力边界元法计算,可在很宽的频带内精细模拟沉积河谷中波型转换及聚焦效应。针对常见V型河谷开展了计算模拟,结果表明,河谷地形及松软沉积层对地震波传播具有显著影响,河谷地表地震动空间差异性十分显著,一维模型难以考虑地震波的散射及聚焦效应,从而会明显低估沉积内部部分区域的地震动峰值加速度。沉积河谷中大跨结构抗震设计宜采用考虑地震波散射效应的空间相关多点地震动输入。
A simulation method for multi-point spatially correlated earthquake ground motions in sedimentary valleys, which considers the scattering effect of seismic waves, is proposed. Based on elastic wave propagation theory, a reasonable power spectrum, coherence function and transfer function model were used to obtain multi-point spatially correlated earthquake ground motions in sedimentary valleys using the prototype spectral representation method and then the feasibility of the method was verified. The transfer function obtained by the dynamic boundary element method can fine model the waveform conversion and focusing effect of sedimentary valleys in a very wide frequency band. The simulations for common V-shaped valleys were performed and the results show that the valley topography and loose sediments have a significant impact on the seismic wave propagation. The spatial variability of the earthquake ground motions in the valley surface is very significant. One-dimensional models can hardly consider the scattering and focusing effects of seismic waves. As a result, the peak acceleration of the ground motion within the interior of the sedimentary region will be significantly underestimated. Seismic design of large-span structures in sedimentary valleys should adopt multi-point spatially correlated earthquake ground motions input which considers the scattering effect of seismic waves.
A simulation method for multi-point spatially correlated earthquake ground motions in sedimentary valleys, which considers the scattering effect of seismic waves, is proposed. Based on elastic wave propagation theory, a reasonable power spectrum, coherence function and transfer function model were used to obtain multi-point spatially correlated earthquake ground motions in sedimentary valleys using the prototype spectral representation method and then the feasibility of the method was verified. The transfer function obtained by the dynamic boundary element method can fine model the waveform conversion and focusing effect of sedimentary valleys in a very wide frequency band. The simulations for common V-shaped valleys were performed and the results show that the valley topography and loose sediments have a significant impact on the seismic wave propagation. The spatial variability of the earthquake ground motions in the valley surface is very significant. One-dimensional models can hardly consider the scattering and focusing effects of seismic waves. As a result, the peak acceleration of the ground motion within the interior of the sedimentary region will be significantly underestimated. Seismic design of large-span structures in sedimentary valleys should adopt multi-point spatially correlated earthquake ground motions input which considers the scattering effect of seismic waves.
引文
[1]陈少林,张莉莉,李山有.半圆柱型沉积盆地对SH波散射的数值分析[J].工程力学,2014,31(4):218-224.CHEN Shao-lin,ZHANG Li-li,LI Shan-you.Numerical analysis of the plane SH waves scattering by semi-cylindrical alluvial valley[J].Engineering Mechanics,2014,31(4):218-224.
[2]周国良,李小军,侯春林,等.SV波入射下河谷地形地震动分布特征分析[J].岩土力学,2012,33(4):1161-1166.ZHOU Guo-liang,LI Xiao-jun,HOU Chun-lin,et al.Characteristic analysis of ground motions of canyon topography under incident SV seismic waves[J].Rock and Soil Mechanics,2012,33(4):1161-1166.
[3]梁建文,巴振宁.弹性层状半空间中沉积谷地对入射平面SH波的放大作用[J].地震工程与工程振动,2007,27(3):1-19.LIANG Jian-wen,BA Zhen-ning.Surface motion of an alluvial valley in layered half space for incident plane SHwaves[J].Durnal of Earthquake Engineering and Engneering Vibration,2007,27(3):1-19.
[4]LI W,ZHAO C,SHI P.Scattering of plane P waves by circular-arc alluvial valleys with saturated soil deposits[J].Soil Dynamics&Earthquake Engineering,2005,25(12):997-1014.
[5]韩俊艳,侯本伟,钟紫蓝,等.多点非一致激励下埋地管道多台阵振动台试验方案研究[J/OL].岩土力学,2019(06):1-14[2018-12-14].https://doi.org/10.16285/j.rsm.2018.0344.HAN Jun-yan,HOU Ben-wei,ZHONG Zi-lan,et al.Research on shaking table test scheme of buried pipeline under non-uniform seismic excitations[J].Rock and Soil Mechanics,2019(06):1-14[2018-12-14].https://doi.org/10.16285/j.rsm.2018.0344.
[6]HAO H,OLOVERIA C S,PENZIEN J.Multiple-station ground motion processing and simulation based on SMART-1 array data[J].Nuclear Engineering and Design,1989,111(3):293-310.
[7]VANMARCKE E H,HEREDIA-ZAVONI E,FENTON GA.Conditional simulation of spatially correlated earthquake ground motion[J].Journal of Engineering Mechanics,1993,119(11):2333-2352.
[8]ABRAHAMSON N A.Generation of spatially incoherent strong motion time histories[C]//10th World Conference on Earthquake Engineering.Madrid,Spain:[s.n.],1992.
[9]KANDA K.Seismic response of structure subjected to incident incoherent waves considering a layered media with irregular interface[C]//Proceedings of 12 WCEE.[S.l.]:[s.n.],2000.
[10]李杰,廖松涛.考虑岩土介质随机特性的工程场地地震动随机场分析[J].岩土工程学报,2002,24(6):685-689.LI Jie,LIAO Song-tao.The analysis of coherency function of earthquake ground motion considering stochastic effect in site media[J].Chinese Journal of Geotechnical Engineering,2002,24(6):685-689.
[11]李杰,陈原.非一致激励条件下工程场地地震动相干函数的数值模拟--Ⅰ分析原理和方法[J].地震工程与工程振动,2006,26(1):30-35.LI Jie,CHEN Yuan.Numerical simulation of coherency function of ground motion under inconsistent excitations:I theories and method[J].Earthquake Engineering and Engineering Vibration,2006,26(1):30-35.
[12]丁海平,金星,刘启方,等.场地条件对地震动相干函数的影响[J].地震工程与工程振动,2003,23(1):1-5.DING Hai-ping,JIN Xing,LIU Qi-fang,et al.Effect of site condition on coherency function of ground motion[J].Earthquake Engineering and Engineering Vibration,2003,23(1):1-5.
[13]丁海平,刘启方,金星,等.基岩地震动的一个相干函数模型--倾滑断层情形[J].地震工程与工程振动,2003,23(2):8-11.DING Hai-ping,LIU Qi-fang,JIN Xing,et al.Acoherency model of ground motion on base-rock corresponding to dip-slip fault[J].Earthquake Engineering and Engineering Vibration,2003,23(2):8-11.
[14]BI K,HAO H.Influence of irregular topography and random soil properties on coherency loss of spatial seismic ground motions[J].Earthquake Engineering and Structural Dynamics,2011,40(9):1045-1061.
[15]DER KIUREGHIAN A.A coherency model for spatially varying ground motions[J].Earthquake Engineering and Structural Dynamics,1996,25(1):99-111.
[16]李忠献,李笑穹,李宁.空间相关多点多维地震动的模拟[J].地震工程与工程振动,2014,34(4):64-72.LI Zhong-xian,LI Xiao-qiong,LI Ning.Simulation of multi-point and multi-dimension spatially correlated earthquake ground motions[J].Earthquake Engineering and Engineering Vibration,2014,34(4):64-72.
[17]田利,马瑞升,李庆伟.山丘谷地交错场地上多点地震动模拟研究[J].地震工程与工程振动,2014,1(3):18-24.TIAN Li,MA Rui-sheng,LI Qing-wei.Study on multi-support ground motions simulation on a hill and valley staggered site[J].Earthquake Engineering and Engineering Vibration,2014,1(3):18-24.
[18]屈铁军,王前信.空间相关的多点地震动合成(I):基本公式[J].地震动与工程振动,1998,18(1):8-15.QU Tie-jun,WANG Qian-xin.Simulation of spatial correlative time histories of multi-point ground motion,part I:fundamental formulas[J].Earthquake Engineering and Engineering Vibration,1998,18(1):8-15.
[19]柳国环,陆新征,国巍.基于震源机制且考虑场地土分层差异效应的多点地震动:理论与程序开发[J].计算力学学报,2012,(4):582-588.LIU Guo-huan,LU Xin-zheng,GUO Wei.Multi-point seismic motions based on focal mechanism and considering local site multi-layer soil effect:theory and program implementation[J].Chinese Journal of Computational Mechanics,2012,(4):582-588.
[20]张超,颜学渊,林进军.空间相关的非平稳地震动场合成思路及程序实现[J].武汉理工大学学报(交通科学与工程版),2017,41(5):741-745.ZHANG Chao,YAN Xue-yuan,LIN Jin-jun.Synthesis thought and program realization of non-stationary spatially variable ground motions[J].Journal of Wuhan University of Technology(Transportation Science&Engineering),2017,41(5):741-745.
[21]贾宏宇,陈航,张克跃,等.多维多点非平稳地震波合成[J].西南交通大学报,2017,52(4):663-670.JIA Hong-yu,CHEN Hang,ZHANG Ke-yue,et al.Non-stationary synthesis of multi-dimensional and multi-point seismic waves[J].Journal of Southwest Jiaotong University,2017,52(4):663-670.
[22]WU Y X,GAO Y F,ZHANG N,et al.Simulation of spatially varying ground motions in V-shaped symmetric canyons[J].Journal of Earthquake Engineering,2016,20(6):992-1010.
[23]霍俊荣,胡聿贤,冯启民.地面运动时程强度包络函数的研究[J].地震工程与工程振动,1991,11(1):1-12.HUO Jun-rong,HU Yu-xian,FENG Qi-min.Study on envelope function of acceleration time history[J].Earthquake Engineering and Engineering Vibration,1991,11(1):1-12.
[24]刘中宪,于琴,何颖.岩土介质随机性对沉积河谷地震动放大效应的影响[J].地震报,2017,39(5):764-777.LIU Zhong-xian,YU Qin,HE Ying.Effect of randomness of geotechnical medium on the seismic ground motion amplification effect of a sedimentary valley[J].Acta Seismologica Sinica,2017,39(5):764-777.
[2]周国良,李小军,侯春林,等.SV波入射下河谷地形地震动分布特征分析[J].岩土力学,2012,33(4):1161-1166.ZHOU Guo-liang,LI Xiao-jun,HOU Chun-lin,et al.Characteristic analysis of ground motions of canyon topography under incident SV seismic waves[J].Rock and Soil Mechanics,2012,33(4):1161-1166.
[3]梁建文,巴振宁.弹性层状半空间中沉积谷地对入射平面SH波的放大作用[J].地震工程与工程振动,2007,27(3):1-19.LIANG Jian-wen,BA Zhen-ning.Surface motion of an alluvial valley in layered half space for incident plane SHwaves[J].Durnal of Earthquake Engineering and Engneering Vibration,2007,27(3):1-19.
[4]LI W,ZHAO C,SHI P.Scattering of plane P waves by circular-arc alluvial valleys with saturated soil deposits[J].Soil Dynamics&Earthquake Engineering,2005,25(12):997-1014.
[5]韩俊艳,侯本伟,钟紫蓝,等.多点非一致激励下埋地管道多台阵振动台试验方案研究[J/OL].岩土力学,2019(06):1-14[2018-12-14].https://doi.org/10.16285/j.rsm.2018.0344.HAN Jun-yan,HOU Ben-wei,ZHONG Zi-lan,et al.Research on shaking table test scheme of buried pipeline under non-uniform seismic excitations[J].Rock and Soil Mechanics,2019(06):1-14[2018-12-14].https://doi.org/10.16285/j.rsm.2018.0344.
[6]HAO H,OLOVERIA C S,PENZIEN J.Multiple-station ground motion processing and simulation based on SMART-1 array data[J].Nuclear Engineering and Design,1989,111(3):293-310.
[7]VANMARCKE E H,HEREDIA-ZAVONI E,FENTON GA.Conditional simulation of spatially correlated earthquake ground motion[J].Journal of Engineering Mechanics,1993,119(11):2333-2352.
[8]ABRAHAMSON N A.Generation of spatially incoherent strong motion time histories[C]//10th World Conference on Earthquake Engineering.Madrid,Spain:[s.n.],1992.
[9]KANDA K.Seismic response of structure subjected to incident incoherent waves considering a layered media with irregular interface[C]//Proceedings of 12 WCEE.[S.l.]:[s.n.],2000.
[10]李杰,廖松涛.考虑岩土介质随机特性的工程场地地震动随机场分析[J].岩土工程学报,2002,24(6):685-689.LI Jie,LIAO Song-tao.The analysis of coherency function of earthquake ground motion considering stochastic effect in site media[J].Chinese Journal of Geotechnical Engineering,2002,24(6):685-689.
[11]李杰,陈原.非一致激励条件下工程场地地震动相干函数的数值模拟--Ⅰ分析原理和方法[J].地震工程与工程振动,2006,26(1):30-35.LI Jie,CHEN Yuan.Numerical simulation of coherency function of ground motion under inconsistent excitations:I theories and method[J].Earthquake Engineering and Engineering Vibration,2006,26(1):30-35.
[12]丁海平,金星,刘启方,等.场地条件对地震动相干函数的影响[J].地震工程与工程振动,2003,23(1):1-5.DING Hai-ping,JIN Xing,LIU Qi-fang,et al.Effect of site condition on coherency function of ground motion[J].Earthquake Engineering and Engineering Vibration,2003,23(1):1-5.
[13]丁海平,刘启方,金星,等.基岩地震动的一个相干函数模型--倾滑断层情形[J].地震工程与工程振动,2003,23(2):8-11.DING Hai-ping,LIU Qi-fang,JIN Xing,et al.Acoherency model of ground motion on base-rock corresponding to dip-slip fault[J].Earthquake Engineering and Engineering Vibration,2003,23(2):8-11.
[14]BI K,HAO H.Influence of irregular topography and random soil properties on coherency loss of spatial seismic ground motions[J].Earthquake Engineering and Structural Dynamics,2011,40(9):1045-1061.
[15]DER KIUREGHIAN A.A coherency model for spatially varying ground motions[J].Earthquake Engineering and Structural Dynamics,1996,25(1):99-111.
[16]李忠献,李笑穹,李宁.空间相关多点多维地震动的模拟[J].地震工程与工程振动,2014,34(4):64-72.LI Zhong-xian,LI Xiao-qiong,LI Ning.Simulation of multi-point and multi-dimension spatially correlated earthquake ground motions[J].Earthquake Engineering and Engineering Vibration,2014,34(4):64-72.
[17]田利,马瑞升,李庆伟.山丘谷地交错场地上多点地震动模拟研究[J].地震工程与工程振动,2014,1(3):18-24.TIAN Li,MA Rui-sheng,LI Qing-wei.Study on multi-support ground motions simulation on a hill and valley staggered site[J].Earthquake Engineering and Engineering Vibration,2014,1(3):18-24.
[18]屈铁军,王前信.空间相关的多点地震动合成(I):基本公式[J].地震动与工程振动,1998,18(1):8-15.QU Tie-jun,WANG Qian-xin.Simulation of spatial correlative time histories of multi-point ground motion,part I:fundamental formulas[J].Earthquake Engineering and Engineering Vibration,1998,18(1):8-15.
[19]柳国环,陆新征,国巍.基于震源机制且考虑场地土分层差异效应的多点地震动:理论与程序开发[J].计算力学学报,2012,(4):582-588.LIU Guo-huan,LU Xin-zheng,GUO Wei.Multi-point seismic motions based on focal mechanism and considering local site multi-layer soil effect:theory and program implementation[J].Chinese Journal of Computational Mechanics,2012,(4):582-588.
[20]张超,颜学渊,林进军.空间相关的非平稳地震动场合成思路及程序实现[J].武汉理工大学学报(交通科学与工程版),2017,41(5):741-745.ZHANG Chao,YAN Xue-yuan,LIN Jin-jun.Synthesis thought and program realization of non-stationary spatially variable ground motions[J].Journal of Wuhan University of Technology(Transportation Science&Engineering),2017,41(5):741-745.
[21]贾宏宇,陈航,张克跃,等.多维多点非平稳地震波合成[J].西南交通大学报,2017,52(4):663-670.JIA Hong-yu,CHEN Hang,ZHANG Ke-yue,et al.Non-stationary synthesis of multi-dimensional and multi-point seismic waves[J].Journal of Southwest Jiaotong University,2017,52(4):663-670.
[22]WU Y X,GAO Y F,ZHANG N,et al.Simulation of spatially varying ground motions in V-shaped symmetric canyons[J].Journal of Earthquake Engineering,2016,20(6):992-1010.
[23]霍俊荣,胡聿贤,冯启民.地面运动时程强度包络函数的研究[J].地震工程与工程振动,1991,11(1):1-12.HUO Jun-rong,HU Yu-xian,FENG Qi-min.Study on envelope function of acceleration time history[J].Earthquake Engineering and Engineering Vibration,1991,11(1):1-12.
[24]刘中宪,于琴,何颖.岩土介质随机性对沉积河谷地震动放大效应的影响[J].地震报,2017,39(5):764-777.LIU Zhong-xian,YU Qin,HE Ying.Effect of randomness of geotechnical medium on the seismic ground motion amplification effect of a sedimentary valley[J].Acta Seismologica Sinica,2017,39(5):764-777.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |