表层土剪切波速的不确定性对地表设计谱平台值的影响
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摘要
土层剪切波速对地表反应谱有重要的影响。选取构建了不同场地类别的235个场地地震反应模型,人工合成了12条强弱及频谱特性不同的加速度时程,运用一维土层地震反应的等效线性化波动方法,研究了不同地震动输入下表层土剪切波速的不确定性对设计谱平台值的影响,统计给出了表层土剪切波速的变异率与地表设计反应谱平台值间的经验公式。结果表明:地表设计反应谱平台值与表层土剪切波速的变异率呈负相关关系,即随表层土剪切波速变异率的增大而减小;不同地震波输入条件下各类场地类别地表设计谱平台高度与表层土剪切波速变异率的数学模型为一阶指数函数。
The shear wave velocity of soils has important influences on response spectra.The 235 models of seismic site response,which belong to different site categories,are selected and constructed.And 12 pieces of varying amplitudes and frequency content acceleration time history are artificially made.The effects of the shear wave velocity of soil surface layer on design spectra platform are studied using one-dimensional equivalent linear wave propagation method of soil earthquake response,the functions between platform value of surface design response spectra and the variation rate of shear wave velocity are statistically provided.The results show that there is negative relationship between platform value of surface design response spectra and the variation rate of shear wave velocity and their mathematical model is a one-order exponential function.
The shear wave velocity of soils has important influences on response spectra.The 235 models of seismic site response,which belong to different site categories,are selected and constructed.And 12 pieces of varying amplitudes and frequency content acceleration time history are artificially made.The effects of the shear wave velocity of soil surface layer on design spectra platform are studied using one-dimensional equivalent linear wave propagation method of soil earthquake response,the functions between platform value of surface design response spectra and the variation rate of shear wave velocity are statistically provided.The results show that there is negative relationship between platform value of surface design response spectra and the variation rate of shear wave velocity and their mathematical model is a one-order exponential function.
引文
[1]胡聿贤.地震安全性评价技术教程[M].北京:地震出版社,1999.Hu Yu-xian.Course of Seismic Safety EvaluationTechnique[M].Beijing:Seismological PublishingHouse,1999.
[2]刘红帅,郑桐,薄景山,等.黏性土剪切波速不确定性的统计分析[J].世界地震工程,2010,26(增刊):99-103.Liu Hong-shuai,Zheng Tong,Bo Jing-shan,et al.Statistical Analysis of Uncertainly for Shear WaveVelocities of Cohesive Soils[J].World EarthquakeEngineering,2010,26(Sup.):99-103.
[3]孙锐,陈红娟,袁晓铭.土的非线性动剪切模量比和阻尼比不确定性分析[J].岩土工程学报,2010,32(8):1228-1235.Sun Rui,Chen Hong-juan,Yuan Xiao-ming.Uncertainty of Non-Linear Dynamic Shear ModularRatio and Damping Ratio of Soils[J].Chinese Journalof Geotechnical Engineering,2010,32(8):1228-1235.
[4]Comina C,Foti S,Boiero D,et al.Reliability of Vs,30Evaluation from Surface-Wave Tests[J].Journal ofGeotechnical and Geoenvironmental Engineering,2011,137(6):579-586.
[5]侯兴民,杨学山,廖振鹏,等.基于互相关函数的单孔法波速测试优化算法[J].岩土力学,2006,27(7):1161-1165.Hou Xing-min,Yang Xue-shan,Liao Zhen-peng,etal.An Optimized Approach for Single-Hole Method ofShear Wave Velocity Measurement Based onCorrelation Functions[J].Rock and Soil Mechanics,2006,27(7):1161-1165.
[6]孙锐,刘红帅,刘德东.土体动力参数不确定性及影响研究[R].哈尔滨:中国地震局工程力学研究所,2009.Sun Rui,Liu Hong-shuai,Liu De-dong.Uncertaintyof Soil Dynamic Properties and Its Influences[R].Harbin:Institute of Engineering Mechanics,ChinaEarthquake Administration,2009.
[7]高玉峰,刘汉龙,朱伟,等.剪切波速对砂土层地震反应的影响[J].工程勘察,2001(1):39-42.Gao Yu-feng,Liu Han-long,Zhu Wei,et al.Influenceof Shear Wave Velocity on the Seismic Response ofSand Ground[J].Geotechnical Investigation&Surveying,2001(1):39-42.
[8]刘红帅,薄景山,吴兆营,等.土体参数对地表加速度峰值和反应谱的影响[J].地震研究,2005,28(2):167-171.Liu Hong-shuai,Bo Jing-shan,Wu Zhao-ying,et al.Effects of Soil Parameters on Ground SurfaceAcceleration Peak and Response Spectra[J].Journal ofSeismological Research,2005,28(2):167-171.
[9]孙锐,袁晓铭,刘晓健.动剪切模量比与剪切波速对地震动影响及等量关系研究[J].岩土工程学报,2009,31(8):1267-1274.Sun Rui,Yuan Xiao-ming,Liu Xiao-jian.Effects ofDynamic Shear Modulus Ratio and Velocity on SurfaceGround Motion and Their Equivalent Relations[J].Chinese Journal of Geotechnical Engineering,2009,31(8):1267-1274.
[10]Kwok A O L,Stewart J P,Hashash Y M A.Nonlinear Ground-Response Analysis of Turkey FlatShallow Stiff-Soil Site to Strong Ground Motion[J].Bulletin of the Seismological Society of America,2008,98(1):331-343.
[11]GB17741-2005工程场地地震安全性评价[S].北京:中国标准出版社,2005.GB17741-2005 Seismic Safety Evaluation ofEngineering Sites[S].Beijing:China StandardizationPress,2005.
[12]甘杨,李凡,李大华.一维土层非线性地震反应分析的解析递推格式法[J].吉林大学学报:地球科学版,2006,36(4):631-635.Gan Yang,Li Fan,Li Da-hua.Analytical RecursionScheme Method of the Nonlinear EarthquakeResponse Analysis of One-Dimension Soil Layer[J].Journal of Jilin Unviersity:Earth Science Edition,2006,36(4):631-635.
[13]廖振鹏,李小军.地表土层地震反应的等效线性化解法:地震小区划[M].北京:地震出版社,1989:141-153.Liao Zhen-peng,Li Xiao-jun.Linearization Methodfor Computing Earthquake Response of GroundLayered Soil:Seismic Microzonation[M].Beijing:Seismological Publishing House,1989:141-153.
[14]GB50011-2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001.GB50011-2001Code for Seismic Design of Buildings[S].Beijing:China Architecture and Building Press,2001.
[15]袁晓铭,孙锐,孙静,等.常规土类动剪切模量和阻尼比试验研究[J].地震工程与工程振动,2000,20(4):133-139.Yuan Xiao-ming,Sun Rui,Sun Jing,et al.Laboratory Experimental Study on Dynamic ShearModulus Ratio and Damping Ratio of Soils[J].Earthquake Engineering and Engineering Vibration,2000,20(4):133-139.
[16]王绍博,丁海平.土动力参数对土层动力反应的影响[J].地震工程与工程振动,2001,21(1):105-108.Wang Shao-bo,Ding Hai-ping.Effect of SoilDynamic Parameters on Seismic Responses of SoilLayers[J].Earthquake Engineering and EngineeringVibration,2001,21(1):105-108.
[17]孙静,袁晓铭,孙锐.土动剪切模量和阻尼比的推荐值和规范值的合理性比较[J].地震工程与工程振动,2004,24(2):125-133.Sun Jing,Yuan Xiao-ming,Sun Rui.ReasonabilityComparison Between Recommended and Code Valuesof Dynamic Shear Modulus and Damping Ratio ofSoils[J].Earthquake Engineering and EngineeringVibration,2004,24(2):125-133.
[18]廖振鹏,李大华.设计地震反应谱的双参数标定模型[C]//地震小区划:理论与实践.北京:地震出版社,1989:196-206.Liao Zhen-peng,Li Da-hua.An Empirical Model forScaling Design Earthquake Response Spectra[C]//Seismic Microzonation.Beijing:SeismologicalPublishing House,1989:196-206.
[19]钟晓鸣,万小笠.Excel在统计分析中的应用[M].北京:科学出版社,2009.Zhong Xiao-ming,Wan Xiao-li.Application of Excelin Statistical Analysis[M].Beijing:Science Press,2009.
[2]刘红帅,郑桐,薄景山,等.黏性土剪切波速不确定性的统计分析[J].世界地震工程,2010,26(增刊):99-103.Liu Hong-shuai,Zheng Tong,Bo Jing-shan,et al.Statistical Analysis of Uncertainly for Shear WaveVelocities of Cohesive Soils[J].World EarthquakeEngineering,2010,26(Sup.):99-103.
[3]孙锐,陈红娟,袁晓铭.土的非线性动剪切模量比和阻尼比不确定性分析[J].岩土工程学报,2010,32(8):1228-1235.Sun Rui,Chen Hong-juan,Yuan Xiao-ming.Uncertainty of Non-Linear Dynamic Shear ModularRatio and Damping Ratio of Soils[J].Chinese Journalof Geotechnical Engineering,2010,32(8):1228-1235.
[4]Comina C,Foti S,Boiero D,et al.Reliability of Vs,30Evaluation from Surface-Wave Tests[J].Journal ofGeotechnical and Geoenvironmental Engineering,2011,137(6):579-586.
[5]侯兴民,杨学山,廖振鹏,等.基于互相关函数的单孔法波速测试优化算法[J].岩土力学,2006,27(7):1161-1165.Hou Xing-min,Yang Xue-shan,Liao Zhen-peng,etal.An Optimized Approach for Single-Hole Method ofShear Wave Velocity Measurement Based onCorrelation Functions[J].Rock and Soil Mechanics,2006,27(7):1161-1165.
[6]孙锐,刘红帅,刘德东.土体动力参数不确定性及影响研究[R].哈尔滨:中国地震局工程力学研究所,2009.Sun Rui,Liu Hong-shuai,Liu De-dong.Uncertaintyof Soil Dynamic Properties and Its Influences[R].Harbin:Institute of Engineering Mechanics,ChinaEarthquake Administration,2009.
[7]高玉峰,刘汉龙,朱伟,等.剪切波速对砂土层地震反应的影响[J].工程勘察,2001(1):39-42.Gao Yu-feng,Liu Han-long,Zhu Wei,et al.Influenceof Shear Wave Velocity on the Seismic Response ofSand Ground[J].Geotechnical Investigation&Surveying,2001(1):39-42.
[8]刘红帅,薄景山,吴兆营,等.土体参数对地表加速度峰值和反应谱的影响[J].地震研究,2005,28(2):167-171.Liu Hong-shuai,Bo Jing-shan,Wu Zhao-ying,et al.Effects of Soil Parameters on Ground SurfaceAcceleration Peak and Response Spectra[J].Journal ofSeismological Research,2005,28(2):167-171.
[9]孙锐,袁晓铭,刘晓健.动剪切模量比与剪切波速对地震动影响及等量关系研究[J].岩土工程学报,2009,31(8):1267-1274.Sun Rui,Yuan Xiao-ming,Liu Xiao-jian.Effects ofDynamic Shear Modulus Ratio and Velocity on SurfaceGround Motion and Their Equivalent Relations[J].Chinese Journal of Geotechnical Engineering,2009,31(8):1267-1274.
[10]Kwok A O L,Stewart J P,Hashash Y M A.Nonlinear Ground-Response Analysis of Turkey FlatShallow Stiff-Soil Site to Strong Ground Motion[J].Bulletin of the Seismological Society of America,2008,98(1):331-343.
[11]GB17741-2005工程场地地震安全性评价[S].北京:中国标准出版社,2005.GB17741-2005 Seismic Safety Evaluation ofEngineering Sites[S].Beijing:China StandardizationPress,2005.
[12]甘杨,李凡,李大华.一维土层非线性地震反应分析的解析递推格式法[J].吉林大学学报:地球科学版,2006,36(4):631-635.Gan Yang,Li Fan,Li Da-hua.Analytical RecursionScheme Method of the Nonlinear EarthquakeResponse Analysis of One-Dimension Soil Layer[J].Journal of Jilin Unviersity:Earth Science Edition,2006,36(4):631-635.
[13]廖振鹏,李小军.地表土层地震反应的等效线性化解法:地震小区划[M].北京:地震出版社,1989:141-153.Liao Zhen-peng,Li Xiao-jun.Linearization Methodfor Computing Earthquake Response of GroundLayered Soil:Seismic Microzonation[M].Beijing:Seismological Publishing House,1989:141-153.
[14]GB50011-2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001.GB50011-2001Code for Seismic Design of Buildings[S].Beijing:China Architecture and Building Press,2001.
[15]袁晓铭,孙锐,孙静,等.常规土类动剪切模量和阻尼比试验研究[J].地震工程与工程振动,2000,20(4):133-139.Yuan Xiao-ming,Sun Rui,Sun Jing,et al.Laboratory Experimental Study on Dynamic ShearModulus Ratio and Damping Ratio of Soils[J].Earthquake Engineering and Engineering Vibration,2000,20(4):133-139.
[16]王绍博,丁海平.土动力参数对土层动力反应的影响[J].地震工程与工程振动,2001,21(1):105-108.Wang Shao-bo,Ding Hai-ping.Effect of SoilDynamic Parameters on Seismic Responses of SoilLayers[J].Earthquake Engineering and EngineeringVibration,2001,21(1):105-108.
[17]孙静,袁晓铭,孙锐.土动剪切模量和阻尼比的推荐值和规范值的合理性比较[J].地震工程与工程振动,2004,24(2):125-133.Sun Jing,Yuan Xiao-ming,Sun Rui.ReasonabilityComparison Between Recommended and Code Valuesof Dynamic Shear Modulus and Damping Ratio ofSoils[J].Earthquake Engineering and EngineeringVibration,2004,24(2):125-133.
[18]廖振鹏,李大华.设计地震反应谱的双参数标定模型[C]//地震小区划:理论与实践.北京:地震出版社,1989:196-206.Liao Zhen-peng,Li Da-hua.An Empirical Model forScaling Design Earthquake Response Spectra[C]//Seismic Microzonation.Beijing:SeismologicalPublishing House,1989:196-206.
[19]钟晓鸣,万小笠.Excel在统计分析中的应用[M].北京:科学出版社,2009.Zhong Xiao-ming,Wan Xiao-li.Application of Excelin Statistical Analysis[M].Beijing:Science Press,2009.
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