层状场地中任意形状沉积河谷对平面SH波的散射
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摘要
利用间接边界元方法在频域内求解了层状场地中任意形状沉积河谷对平面SH波的散射;利用土层的精确动力刚度矩阵求解了应力和位移的动力Green函数;结合间接边界元法,研究了沉积河谷宽度、厚度、入射角、入射频率等对地表位移幅值的影响,并与按一维场地模型计算的结果进行了比较。研究表明,沉积河谷有明显的二维散射效应,与一维模型的计算结果差别显著。在工程场地地震安全性评价中,应合理考虑沉积河谷对场地设计地震动参数确定的影响。
The scattering of SH waves by an alluvial valley of arbitrary shape in a layered half-space is modeled using the indirect boundary element method(IBEM) in the frequency domain.The Green's functions of displacements and stresses are calculated by using the exact dynamicstiffness matrix of soil layers.Based on IBEM,the effects of width and thickness of the alluvial valley,and the incident angle and frequency on the surface displacements are studied.These results are compared with that of one-dimensional model.The numerical results indicate: The two-dimensional scattering effect of alluvial valley is significant and quite different from that of one-dimensional model.The influence of alluvial valley on determination of design earthquake ground motion parameters should be considered reasonably in evaluation of seismic safety for engineering site.
The scattering of SH waves by an alluvial valley of arbitrary shape in a layered half-space is modeled using the indirect boundary element method(IBEM) in the frequency domain.The Green's functions of displacements and stresses are calculated by using the exact dynamicstiffness matrix of soil layers.Based on IBEM,the effects of width and thickness of the alluvial valley,and the incident angle and frequency on the surface displacements are studied.These results are compared with that of one-dimensional model.The numerical results indicate: The two-dimensional scattering effect of alluvial valley is significant and quite different from that of one-dimensional model.The influence of alluvial valley on determination of design earthquake ground motion parameters should be considered reasonably in evaluation of seismic safety for engineering site.
引文
[1]胡聿贤.地震工程学(第二版)[M].北京:地震出版社,2006.Hu Y X.Earthquake Engineering(2nd Edition)[M].Beijing:Seimological Press,2006.
[2]Reinoso E,Wrobel LC,Power H.Preliminary resultsof the modeling of the Mexico City valley with two-dimensional boundary element method for thescattering of SH wave[J].Soil Dynamics andEarthquake Engineering,1994,12(8):457-468.
[3]李小军.工程场地地震安全性评价工作及相关技术问题[J].震灾防御技术,2006,1(1):15-24.Li X J.Evaluation of seismic safety for engineeringsites and relevant technical problems[J].Technologyfor Earthquake Disaster Prevention,2006,1(1):15-24.
[4]Wong Y L,Zhao X,Lam S S E,et al.Assessingseismic response of soft soil site in Hong Kong usingmicrotremor records[J].Hong Kong Institute ofEngineering,Transaction,Group1,1998,5(3):70-79.
[5]薄景山,李秀领,李山有.场地条件对地震动影响研究的若干进展[J].世界地震工程,2003,19(2):11-15.Bo J S,Li X L,Li S Y.Some progress of study onthe effect of site conditions on ground motion[J].World Earthquake Engineering,2003,19(2):11-15.
[6]Trifunac M D.Surface motion of a semi-cylindricalalluvial valley for incident plane SH waves[J].Bulletin of Seismological Society of America,1971,61(6):1755-1770.
[7]Trifunac M D.Scattering of plane SHwave by a semi-cylindrical canyon[J].Earthquake Engineering andStructural Dynamics,1973,(l):267-281.
[8]Manoogian M E,Lee V W.Diffraction of SH-Wavesby Subsurface Inclusions of Arbitrary Shape[J].Journal of Engineering Mechanics,1996,122(2):123-129.
[9]袁晓铭,李雨润,孙锐.圆弧状沉积盆地与软土单覆盖层出平面地表运动比[J].地震工程与工程振动,2002,22(4):16-21.Yuan X M,Li Y R,Sun R.Comparison of out-of-plane surface ground motion between a circular-arcalluvial valley and a single overburden soft layer[J].Earthquake Engineering and Engineering Vibration,2002,22(4):16-21.
[10]李小军.非线性场地地震反应分析方法的研究[D].哈尔滨:中国地震局工程力学研究所,1993.Li X J.Study on the method for analyzing theearthquake response of nonlinear site[D].Harbin:Institute of Engineering Mechanics,China EarthquakeAdministration,1993.
[11]刘晶波.局部不规则地形对地震地面运动的影响[J].地震学报,1996,18(2):239-245.Liu J B.The effect of local irregular topography onseismic ground motion[J].Acta Seismologica Sinica,1996,18(2):239-245.
[12]Vogt R F,Wolf J P,Bachmann H.Wave scatteringby a canyon of arbitrary shape in a layered half space[J].Earthquake Engineering and Structural Dynamic,1988,16(6):803-812.
[13]Bravo M A,Sanchez-Sesma F J,Chavez-Garcia F J.Ground motion on stratified alluvial deposits forincident SH waves[J].Bulletin of the SeismologicalSociety of America,1988,78(2):436-450.
[14]Fishman K L,Alimad S.Seismic response for alluvialvalleys subjected to SH,P and SV waves[J].SoilDynamics and Earthquake Engineering,1995,14(4):249-258.
[15]Gil-Zepeda S A,Montalvo-Arrieta J C,Vai K,et al.A hybrid indirect boundary element-discrete wavenumber method applied to simulate the seismicresponse of stratified alluvial valleys[J].SoilDynamics and Earthquake Engineering,2003,23(1):77-86.
[16]Wolf John P.Dynamic Soil-Structure Interaction[M].Englewood Cliffs:Prentice-Hall,1985.
[2]Reinoso E,Wrobel LC,Power H.Preliminary resultsof the modeling of the Mexico City valley with two-dimensional boundary element method for thescattering of SH wave[J].Soil Dynamics andEarthquake Engineering,1994,12(8):457-468.
[3]李小军.工程场地地震安全性评价工作及相关技术问题[J].震灾防御技术,2006,1(1):15-24.Li X J.Evaluation of seismic safety for engineeringsites and relevant technical problems[J].Technologyfor Earthquake Disaster Prevention,2006,1(1):15-24.
[4]Wong Y L,Zhao X,Lam S S E,et al.Assessingseismic response of soft soil site in Hong Kong usingmicrotremor records[J].Hong Kong Institute ofEngineering,Transaction,Group1,1998,5(3):70-79.
[5]薄景山,李秀领,李山有.场地条件对地震动影响研究的若干进展[J].世界地震工程,2003,19(2):11-15.Bo J S,Li X L,Li S Y.Some progress of study onthe effect of site conditions on ground motion[J].World Earthquake Engineering,2003,19(2):11-15.
[6]Trifunac M D.Surface motion of a semi-cylindricalalluvial valley for incident plane SH waves[J].Bulletin of Seismological Society of America,1971,61(6):1755-1770.
[7]Trifunac M D.Scattering of plane SHwave by a semi-cylindrical canyon[J].Earthquake Engineering andStructural Dynamics,1973,(l):267-281.
[8]Manoogian M E,Lee V W.Diffraction of SH-Wavesby Subsurface Inclusions of Arbitrary Shape[J].Journal of Engineering Mechanics,1996,122(2):123-129.
[9]袁晓铭,李雨润,孙锐.圆弧状沉积盆地与软土单覆盖层出平面地表运动比[J].地震工程与工程振动,2002,22(4):16-21.Yuan X M,Li Y R,Sun R.Comparison of out-of-plane surface ground motion between a circular-arcalluvial valley and a single overburden soft layer[J].Earthquake Engineering and Engineering Vibration,2002,22(4):16-21.
[10]李小军.非线性场地地震反应分析方法的研究[D].哈尔滨:中国地震局工程力学研究所,1993.Li X J.Study on the method for analyzing theearthquake response of nonlinear site[D].Harbin:Institute of Engineering Mechanics,China EarthquakeAdministration,1993.
[11]刘晶波.局部不规则地形对地震地面运动的影响[J].地震学报,1996,18(2):239-245.Liu J B.The effect of local irregular topography onseismic ground motion[J].Acta Seismologica Sinica,1996,18(2):239-245.
[12]Vogt R F,Wolf J P,Bachmann H.Wave scatteringby a canyon of arbitrary shape in a layered half space[J].Earthquake Engineering and Structural Dynamic,1988,16(6):803-812.
[13]Bravo M A,Sanchez-Sesma F J,Chavez-Garcia F J.Ground motion on stratified alluvial deposits forincident SH waves[J].Bulletin of the SeismologicalSociety of America,1988,78(2):436-450.
[14]Fishman K L,Alimad S.Seismic response for alluvialvalleys subjected to SH,P and SV waves[J].SoilDynamics and Earthquake Engineering,1995,14(4):249-258.
[15]Gil-Zepeda S A,Montalvo-Arrieta J C,Vai K,et al.A hybrid indirect boundary element-discrete wavenumber method applied to simulate the seismicresponse of stratified alluvial valleys[J].SoilDynamics and Earthquake Engineering,2003,23(1):77-86.
[16]Wolf John P.Dynamic Soil-Structure Interaction[M].Englewood Cliffs:Prentice-Hall,1985.
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