粘弹性浅圆弧形山谷地形对地震动谱特性的影响
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摘要
基于凹陷地形对SV波的散射进行了分析,通过与解析解的对比,对所采用的数值算法进行了检验,然后利用钟形脉冲作为SH波输入,获得了浅圆山谷地形的地表响应,进而获得了不同观测点对自由场地点的谱比,并利用谱比研究了浅圆弧形山谷地形特征尺寸(深宽比)、波的入射角度以及介质阻尼效应等几个因素对地震动特性的影响。结果显示,浅圆弧形山谷地形的特征尺寸和地震波入射角度对地震动谱特性影响较大,影响程度与入射地震波频率有关。其中,入射角度的影响更显著。
We apply explicit finite difference method to analyze the topography effect of viscoelastic site.In order to test the method we have used in this paper,we introduce the development about this method and make a numerical experiment on scattering of SV waves for local canyon.Then we obtain the response of ground surface under the excitation of bell shape impulse.We study the influence of several factors including the characteristic size of canyon(ratio of depth to width),the angle of incidence of impulse wave and the medium damping on spectrum property of ground motion.For a shallow canyon,the characteristic size and the angle of incidence have great effect on spectrum property of ground motion,and the extent of effect is related to the frequency of basic excitation.The effect of angle of incidence is more distinct than that of charaeteristic size.
We apply explicit finite difference method to analyze the topography effect of viscoelastic site.In order to test the method we have used in this paper,we introduce the development about this method and make a numerical experiment on scattering of SV waves for local canyon.Then we obtain the response of ground surface under the excitation of bell shape impulse.We study the influence of several factors including the characteristic size of canyon(ratio of depth to width),the angle of incidence of impulse wave and the medium damping on spectrum property of ground motion.For a shallow canyon,the characteristic size and the angle of incidence have great effect on spectrum property of ground motion,and the extent of effect is related to the frequency of basic excitation.The effect of angle of incidence is more distinct than that of charaeteristic size.
引文
李方杰.2005.局部不规则场地对Rayleigh波的散射[D].天津:天津大学.
李小军.1993.非线性场地地震反应分析方法的研究[D].北京:国家地震局工程力学研究所.
李小军,廖振鹏,关慧敏.1995.粘弹性场地地形对地震动影响分析的显式有限元有限差分方法[J].地震学报,17(3):362-369.
梁建文,张郁山,顾晓鲁,等.2003.圆弧形层状凹陷地形对平面SH波的散射[J].振动工程学报,16(2):158~165.
廖振鹏,袁晓铭.1993.圆弧形凹陷地形对平面SH波散射问题的级数解答[J].地震工程与工程振动,13(2):1-14.
刘殿魁,韩峰.1988.SH波对各向异性凹陷地形的散射[J].地震工程与工程振动,10(2):11-25.
刘殿魁,许贻燕.1993.各向异性介质中SH波与多个半圆形凹陷地形的相互作用[J].力学学报,25(1):93-102.
荣棉水,李小军.2007.局部地形对出平面运动谱特性的影响分析[J].中国地震,23(2):147-156.
许贻燕,韩峰.1992.平面SH波在相邻多个半圆形凹陷地形上的散射[J].地震工程与工程振动.12(2):12-18.
Bouckovalas G D,Gazetas G,Papadimitriou A G.1999.Geotechnicalaspects of the Aegion(Greece)earthquake[C]//Proceedings ofsecond international conference on geotechnical earthquake engineer-ing,Lisbon:2:739-48.
Crampin S A.1981.Review of wave motion in anisotropic and cracked e-lastic media[J].Wave motion,3:343-391.
Lee V W.1982.A note on scattering of elastic plane waves by a hemi-spherical canyon[J].Soil Dynamics and Earthquake Engineering,1:122-129.
Lee V W.1984.Three dimensional diffraction of plane P,SV and SHwaves by a hemispherical alluvial valley[J].Soil Dynamics andEarthquake Engineering,3:133-144.
Sanchez-Sesma F J,Eaquil J A.1979.Ground motion on alluvial valleysunder the incident plane SH waves[J].BSSA,69:1107-1129.
Trifunac MD.1973.Scattering of plane SHWave by a Semi-cylindricalCanyou[J].Earthquake Engineering&Structural Dynamics,1(3):267-281.
Wong H L.1982.Effect of surface topography on the diffraction of P,SVand Rayleigh waves[J].BSSA,72(4):1167-83.
Wong H L,Trifunac MD.1974.Surface motion of a semi-elliptical allu-vial valley for incident plane SH waves[J].BSSA,64:1389-1408.
Yuan X M,Liao Z P.1995.Scattering of plane SHwaves by a cylindricalalluvial valley of circular-arc cross-section[J].Earthquake Engi-neering and Structure Dynmics,24:1303-1313.
李小军.1993.非线性场地地震反应分析方法的研究[D].北京:国家地震局工程力学研究所.
李小军,廖振鹏,关慧敏.1995.粘弹性场地地形对地震动影响分析的显式有限元有限差分方法[J].地震学报,17(3):362-369.
梁建文,张郁山,顾晓鲁,等.2003.圆弧形层状凹陷地形对平面SH波的散射[J].振动工程学报,16(2):158~165.
廖振鹏,袁晓铭.1993.圆弧形凹陷地形对平面SH波散射问题的级数解答[J].地震工程与工程振动,13(2):1-14.
刘殿魁,韩峰.1988.SH波对各向异性凹陷地形的散射[J].地震工程与工程振动,10(2):11-25.
刘殿魁,许贻燕.1993.各向异性介质中SH波与多个半圆形凹陷地形的相互作用[J].力学学报,25(1):93-102.
荣棉水,李小军.2007.局部地形对出平面运动谱特性的影响分析[J].中国地震,23(2):147-156.
许贻燕,韩峰.1992.平面SH波在相邻多个半圆形凹陷地形上的散射[J].地震工程与工程振动.12(2):12-18.
Bouckovalas G D,Gazetas G,Papadimitriou A G.1999.Geotechnicalaspects of the Aegion(Greece)earthquake[C]//Proceedings ofsecond international conference on geotechnical earthquake engineer-ing,Lisbon:2:739-48.
Crampin S A.1981.Review of wave motion in anisotropic and cracked e-lastic media[J].Wave motion,3:343-391.
Lee V W.1982.A note on scattering of elastic plane waves by a hemi-spherical canyon[J].Soil Dynamics and Earthquake Engineering,1:122-129.
Lee V W.1984.Three dimensional diffraction of plane P,SV and SHwaves by a hemispherical alluvial valley[J].Soil Dynamics andEarthquake Engineering,3:133-144.
Sanchez-Sesma F J,Eaquil J A.1979.Ground motion on alluvial valleysunder the incident plane SH waves[J].BSSA,69:1107-1129.
Trifunac MD.1973.Scattering of plane SHWave by a Semi-cylindricalCanyou[J].Earthquake Engineering&Structural Dynamics,1(3):267-281.
Wong H L.1982.Effect of surface topography on the diffraction of P,SVand Rayleigh waves[J].BSSA,72(4):1167-83.
Wong H L,Trifunac MD.1974.Surface motion of a semi-elliptical allu-vial valley for incident plane SH waves[J].BSSA,64:1389-1408.
Yuan X M,Liao Z P.1995.Scattering of plane SHwaves by a cylindricalalluvial valley of circular-arc cross-section[J].Earthquake Engi-neering and Structure Dynmics,24:1303-1313.
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