层状半空间中洞室群对地震动的时域放大作用
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摘要
采用间接边界元法和频域变换方法研究了层状半空间中洞室群对地震动的出平面时域放大作用,并以天津地区典型场地为例分析了洞室间距和入射地震动频谱对放大作用的影响。研究表明,洞室群对地震动的放大作用非常大,与自由场相比,地表加速度峰值放大32.1%,地表加速度反应谱峰值放大85.2%,洞室群对地震动的频谱也有明显影响;洞室间距越小,洞室之间的相互影响越大,对地震动的放大作用越大。研究对于地铁沿线设计地震动的估计具有参考价值。
This paper studies time-domain out-of-plane amplification of seismic ground motion by group cavities in layered elastic half-space using indirect boundary element method and time-frequency domain transform,and discusses the effects of cavity interval and incident seismic wave spectrum on the amplification,taking typical site in Tianjin district as an example.It is shown that,group cavities have significant amplification to seismic ground motion,and compared with the free field,surface acceleration peak and its response spectrum peak can be amplified by 32.1% and 85.2%,respectively,and group cavities also have influence on spectrum of ground motion.The smaller cavity interval will result in larger interaction between cavities,and larger amplification to seismic ground motion.This study is valuable for the evaluation of design seismic ground motion along underground Metro lines.
This paper studies time-domain out-of-plane amplification of seismic ground motion by group cavities in layered elastic half-space using indirect boundary element method and time-frequency domain transform,and discusses the effects of cavity interval and incident seismic wave spectrum on the amplification,taking typical site in Tianjin district as an example.It is shown that,group cavities have significant amplification to seismic ground motion,and compared with the free field,surface acceleration peak and its response spectrum peak can be amplified by 32.1% and 85.2%,respectively,and group cavities also have influence on spectrum of ground motion.The smaller cavity interval will result in larger interaction between cavities,and larger amplification to seismic ground motion.This study is valuable for the evaluation of design seismic ground motion along underground Metro lines.
引文
[1]Lee V W.On deformations near circular underground cavitysubjected to incident plane SH-waves[C]//Proceedings of theApplication of Computer Methods in Engineering Conference.Los Angeles,USA,1977:951-962
[2]Lee V W,Trifunac M D.Response of tunnels to incidentSH-waves[J].Journal of Engineering Mechanics,ASCE,1979,105:643-659
[3]Lee V W,Karl J.Diffraction of SV waves by underground,circular,cylindrical cavities[J].Soil Dynamics andEarthquake Engineering,1992,11:445-456
[4]Lee V W,Karl J.On deformation near a circular undergroundcavity subjected to incident plane p waves[J].EuropeanJournal of Earthquake Engineering,1993(1):29-36
[5]Davis C A,Lee V W,Bardet J P.Transverse response ofunderground cavities and pipes to incident SV waves[J].Earthquake Engineering and Structural Dynamics,2001,30:383-410
[6]Liang Jianwen,Zhang Hao,Lee V W.A series solution forsurface motion amplification due to underground twintunnels:incident SV waves[J].Earthquake Engineeringand Engineering Vibration,2003,2(2):289-298
[7]梁建文,张浩,Lee V W.地下洞室群对地面运动影响问题的级数解答———P波入射[J].地震学报,2004,26(3):269-280(Liang Jianwen,Zhang Hao,Lee V W.Aseries solution for surface motion amplification due tounderground group cavities:incident P waves[J].ActaSeismologica Sinica,2004,17(3):296-307(in Chinese))
[8]梁建文,张浩,Lee V W.地下洞室群对地面运动的影响[J].土木工程学报,2005,38(2):106-113,125(LiangJianwen,Zhang Hao,Lee V W.Effect of undergroundgroup cavities on ground motion[J].China CivilEngineering Journal,2005,38(2):106-113,125(inChinese))
[9]梁建文,李艳恒,Lee V W.地下洞室群对地面运动影响问题的级数解答:SH波入射[J].岩土力学,2006,27(10):1663-1667,1672(Liang Jianwen,Li Yanheng,LeeV W.A series solution for surface motion amplification dueto underground group cavities:incident SH waves[J].Rock and Soil Mechanics,2006,27(10):1663-1667,1672(in Chinese))
[10]陈国兴,庄海洋,徐烨.软弱地基浅埋隧洞对场地设计地震动的影响[J].岩土工程学报,2004,26(6):739-744(Chen Guoxing,Zhuang Haiyang,Xu Ye.A study oninfluence of excavated shallow tunnel on design parametersof ground motion in the soft site[J].Chinese Journal ofGeotechnical Engineering,2004,26(6):739-744(inChinese))
[11]何伟,陈健云,于品清.地下结构开发对场地地表反应谱影响研究[J].地下空间与工程学报,2009,5(6):1098-1102(He Wei,Chen Jianyun,Yu Pinqing.A studyon influence of underground structure on ground surfaceresponse spectra[J].Chinese Journal of UndergroundSpace and Engineering,2009,5(6):1098-1102(inChinese))
[12]朱小乔,楼梦麟,孔祥海.地下结构对工程场地地震动场的影响[J].震灾防御技术,2011,6(1):49-58(ZhuXiaoqiao,Lou Menglin,Kong Xianghai.Influence ofunderground structures on ground motion field ofengineering site[J].Technology for Earthquake DisasterPrevention,2011,6(1):49-58(in Chinese))
[13]梁建文,李帆,刘中宪.地铁隧道群对地震动的放大作用[J].地震工程与工程振动,2011,31(2):31-39(Liang Jianwen,Li Fan,Liu Zhongxian.Amplification ofground motion by metro tunnel group[J].Journal ofEarthquake Engineering and Engineering Vibration,2011,31(2):31-39(in Chinese))
[14]梁建文,巴振宁.层状半空间中洞室对平面SH波的放大作用[J].地震工程与工程振动,2012,32(2):14-24(Liang Jianwen,Ba Zhenning.Amplification of plane SHwaves by a cavity in layered half-space[J].Journal ofEarthquake Engineering and Engineering Vibration,2012,32(2):14-24(in Chinese))
[2]Lee V W,Trifunac M D.Response of tunnels to incidentSH-waves[J].Journal of Engineering Mechanics,ASCE,1979,105:643-659
[3]Lee V W,Karl J.Diffraction of SV waves by underground,circular,cylindrical cavities[J].Soil Dynamics andEarthquake Engineering,1992,11:445-456
[4]Lee V W,Karl J.On deformation near a circular undergroundcavity subjected to incident plane p waves[J].EuropeanJournal of Earthquake Engineering,1993(1):29-36
[5]Davis C A,Lee V W,Bardet J P.Transverse response ofunderground cavities and pipes to incident SV waves[J].Earthquake Engineering and Structural Dynamics,2001,30:383-410
[6]Liang Jianwen,Zhang Hao,Lee V W.A series solution forsurface motion amplification due to underground twintunnels:incident SV waves[J].Earthquake Engineeringand Engineering Vibration,2003,2(2):289-298
[7]梁建文,张浩,Lee V W.地下洞室群对地面运动影响问题的级数解答———P波入射[J].地震学报,2004,26(3):269-280(Liang Jianwen,Zhang Hao,Lee V W.Aseries solution for surface motion amplification due tounderground group cavities:incident P waves[J].ActaSeismologica Sinica,2004,17(3):296-307(in Chinese))
[8]梁建文,张浩,Lee V W.地下洞室群对地面运动的影响[J].土木工程学报,2005,38(2):106-113,125(LiangJianwen,Zhang Hao,Lee V W.Effect of undergroundgroup cavities on ground motion[J].China CivilEngineering Journal,2005,38(2):106-113,125(inChinese))
[9]梁建文,李艳恒,Lee V W.地下洞室群对地面运动影响问题的级数解答:SH波入射[J].岩土力学,2006,27(10):1663-1667,1672(Liang Jianwen,Li Yanheng,LeeV W.A series solution for surface motion amplification dueto underground group cavities:incident SH waves[J].Rock and Soil Mechanics,2006,27(10):1663-1667,1672(in Chinese))
[10]陈国兴,庄海洋,徐烨.软弱地基浅埋隧洞对场地设计地震动的影响[J].岩土工程学报,2004,26(6):739-744(Chen Guoxing,Zhuang Haiyang,Xu Ye.A study oninfluence of excavated shallow tunnel on design parametersof ground motion in the soft site[J].Chinese Journal ofGeotechnical Engineering,2004,26(6):739-744(inChinese))
[11]何伟,陈健云,于品清.地下结构开发对场地地表反应谱影响研究[J].地下空间与工程学报,2009,5(6):1098-1102(He Wei,Chen Jianyun,Yu Pinqing.A studyon influence of underground structure on ground surfaceresponse spectra[J].Chinese Journal of UndergroundSpace and Engineering,2009,5(6):1098-1102(inChinese))
[12]朱小乔,楼梦麟,孔祥海.地下结构对工程场地地震动场的影响[J].震灾防御技术,2011,6(1):49-58(ZhuXiaoqiao,Lou Menglin,Kong Xianghai.Influence ofunderground structures on ground motion field ofengineering site[J].Technology for Earthquake DisasterPrevention,2011,6(1):49-58(in Chinese))
[13]梁建文,李帆,刘中宪.地铁隧道群对地震动的放大作用[J].地震工程与工程振动,2011,31(2):31-39(Liang Jianwen,Li Fan,Liu Zhongxian.Amplification ofground motion by metro tunnel group[J].Journal ofEarthquake Engineering and Engineering Vibration,2011,31(2):31-39(in Chinese))
[14]梁建文,巴振宁.层状半空间中洞室对平面SH波的放大作用[J].地震工程与工程振动,2012,32(2):14-24(Liang Jianwen,Ba Zhenning.Amplification of plane SHwaves by a cavity in layered half-space[J].Journal ofEarthquake Engineering and Engineering Vibration,2012,32(2):14-24(in Chinese))
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