工程场地基岩设计谱反演方法
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摘要
地表设计谱可以直接由抗震设计规范确定,而基岩设计谱主要通过专门的地震危险性分析获得。地震危险性分析方法会受到潜在震源区划分、地震活动性参数、基岩地震动衰减关系等诸多环节的影响,且该方法未考虑基岩上覆场地的场地条件,由此获得的基岩设计谱与规范确定的地表设计谱常常并不协调。本文针对基岩设计谱确定困难这一问题,提出了工程场地基岩设计谱反演的一个方法。基于一维层状场地波动理论,利用等效线性化法考虑场地土的非线性,通过地表设计谱反演得到基岩设计谱。土层等效剪应变取各样本等效剪应变的平均值。该方法得到的基岩设计谱符合上覆场地的非线性动力特性,具有一定的工程应用价值。
Surface design spectrum of an engineering site can be determined directly by the Code of Seismic Design of Buildings,while the bedrock design spectrum usually has to be obtained through specific seismic safety analysis,which is usually affected by the potential earthquake source division,earthquake activity parameters,bedrock motion attenuation relation,etc.; and the seismic safety analysis cannot condiser the associated soil condition,so the bedrock design spectrum is often inapprociate with the surface design spectrum. To overcome this problem,a method for inversion of bedrock design spectrum of engineering sites is proposed. Based on the theory of one-dimensional wave propagation in layered half-space,the design spectrum at ground surface is inversed to design spectrum at the bedrock,considering soil nonlinearity by the equivalent linearization method. The equivalent shear strain is obtained from the average shear strain of all acceleration time history samples. One of the advantages is that the bedrock design spectrum obtained by this method is appropriate with the soil nonlinearity of the engineering site. The method has some value in engineering practice.
Surface design spectrum of an engineering site can be determined directly by the Code of Seismic Design of Buildings,while the bedrock design spectrum usually has to be obtained through specific seismic safety analysis,which is usually affected by the potential earthquake source division,earthquake activity parameters,bedrock motion attenuation relation,etc.; and the seismic safety analysis cannot condiser the associated soil condition,so the bedrock design spectrum is often inapprociate with the surface design spectrum. To overcome this problem,a method for inversion of bedrock design spectrum of engineering sites is proposed. Based on the theory of one-dimensional wave propagation in layered half-space,the design spectrum at ground surface is inversed to design spectrum at the bedrock,considering soil nonlinearity by the equivalent linearization method. The equivalent shear strain is obtained from the average shear strain of all acceleration time history samples. One of the advantages is that the bedrock design spectrum obtained by this method is appropriate with the soil nonlinearity of the engineering site. The method has some value in engineering practice.
引文
[1]牛荻涛.基岩地震动的随机模型及其参数确定[J].地震学报,1995(1):128-131.NIU Ditao. Random models of bedrock motions and evaluation of its parameters[J]. Acta Seismologica Sinica,1995(1):128-131.(in Chinese)
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[3]林建生,陈俊峰,林子健,等.场地地震安全性评价中确定设计地震动参数方面若干问题的研究[J].世界地震工程,2006,22(4):150-159LIN Jiansheng,CHEN Junfeng,LIN Zijian,et al. Study on some problems in defining design ground motion parameters of seismic safety evaluation for engineering sites[J]. World Earthquake Engineering,2006,22(4):150-159.(in Chinese)
[4]王玉石,李小军,赵雷,等.基于统计的核电厂地震裕量分析建议反应谱[J].核动力工程,2016,37(3):43-46.WANG Yushi,LI Xiaojun,ZHAO Lei,et al. Suggested spectral accelerations for seismic margin assessments of nuclear power plants based on statistics[J]. Nuclear Power Engineering,2016,37(3):43-46.(in Chinese)
[5]蔡袁强,凌道盛,周迪永,等.非线性分层地基地面运动反演分析[J].振动工程学报,2000,13(3):426-432.CAI Yuanqiang,LING Daosheng,ZHOU Diyong,et al. Inverse calculational analysis of ground motion in non-linear layered soil[J]. Journal of Vibration Engineering,2000,13(3):426-432.(in Chinese)
[6]梁建文,张爱娟,何颖.层状弹性场地基岩斜入射地震动二维反演[J].振动工程学报,2014,27(3):441-450LIANG Jianwen,ZHANG Aijuan,HE Ying. 2-D Inversion of obliquely incident earthquake ground motion in layered elastic half-space[J]. Journal of Vibration Engineering,2014,27(3):441-450.(in Chinese)
[7]李平,盛俭,薄景山,等.汶川8. 0级地震断层下盘基岩衰减关系分析[J].自然灾害学报,2018,22(2):32-39.LI Ping,SHENG Jian,BO Jingshan,et al. Footwall attenuation relationships of Wenchuan 8. 0 earthquake[J]. Journal of Natural Disasters,2018,22(2):32-39.(in Chinese)
[8]邢海灵,蒋通,姚东生,等.成层场地由基岩反应谱直接计算地表反应谱的等效线性化方法[J].岩土工程学报,2012,34(12):2337-2344.XING Hailing,JIANG Tong,YAO Dongsheng,et al. Calculation of free field response spectrum from bed rock response spectrum directly for horizontally-layered site using equivalent linear method[J]. Chinese Journal of Geotechnical Engineering,2012,34(12):2337-2344.(in Chinese)
[9]苏经宇,周锡元,樊水荣.由基岩反应谱直接估计地面反应谱的实用方法[J].岩土工程学报,1992,14(5):27-36.SU Jingyu,ZHOU Xiyuan,FAN Shuirong. A practical method for calculating ground response spectrum directly from base rock response spectrum.[J]. Chinese Journal of Geotechnical Engineering,1992,14(5):27-36(in Chinese)
[10]潘晓东,董天乐,蔡袁强,等.非线性成层地基下基岩平稳地震动输入[J].振动工程学报,2006,19(2):246-251.PAN Xiaodong,DONG Tianle,CAI Yuanqiang,et al. Study on stationary earthquake motion input at bedrock under nonlinear layered soils[J].Journal of Vibration Engineering,2006,19(2):246-251.(in Chinese)
[11] GB50011-2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2016.GB50011-2010 Code for Seismic Design of Buildings[S]. Beijing:Building Industry Press of China,2016.(in Chinese)
[12]胡聿贤.地震工程学(第2版)[M].地震出版社,2006.HU Yuxian. Earthquake Engineering(second edition)[M]. Seismological Press,2006.(in Chinese)
[13]赵凤新,刘爱文.地震动功率谱与反应谱的转换关系[J].地震工程与工程振动,2001,21(2):30-35.ZHAO Fengxin,LIU Aiwen. Relationship between power spectral-density functions and response spectra of earthquake ground motions[J].Earthquake Engineering and Engineering Dynamics,2001,21(2):30-35.(in Chinese)
[2]樊水荣,苏经宇.重要工程场址基岩地震动时程随机模拟[J].工程抗震与加固改造,1993(2):41-43.FAN Shuirong,SU Jingyu. Stochastic simulation of ground motion for important engineering sites[J]. Earthquake Resistant Engineering and Retrofitting,1993(2):41-43.(in Chinese)
[3]林建生,陈俊峰,林子健,等.场地地震安全性评价中确定设计地震动参数方面若干问题的研究[J].世界地震工程,2006,22(4):150-159LIN Jiansheng,CHEN Junfeng,LIN Zijian,et al. Study on some problems in defining design ground motion parameters of seismic safety evaluation for engineering sites[J]. World Earthquake Engineering,2006,22(4):150-159.(in Chinese)
[4]王玉石,李小军,赵雷,等.基于统计的核电厂地震裕量分析建议反应谱[J].核动力工程,2016,37(3):43-46.WANG Yushi,LI Xiaojun,ZHAO Lei,et al. Suggested spectral accelerations for seismic margin assessments of nuclear power plants based on statistics[J]. Nuclear Power Engineering,2016,37(3):43-46.(in Chinese)
[5]蔡袁强,凌道盛,周迪永,等.非线性分层地基地面运动反演分析[J].振动工程学报,2000,13(3):426-432.CAI Yuanqiang,LING Daosheng,ZHOU Diyong,et al. Inverse calculational analysis of ground motion in non-linear layered soil[J]. Journal of Vibration Engineering,2000,13(3):426-432.(in Chinese)
[6]梁建文,张爱娟,何颖.层状弹性场地基岩斜入射地震动二维反演[J].振动工程学报,2014,27(3):441-450LIANG Jianwen,ZHANG Aijuan,HE Ying. 2-D Inversion of obliquely incident earthquake ground motion in layered elastic half-space[J]. Journal of Vibration Engineering,2014,27(3):441-450.(in Chinese)
[7]李平,盛俭,薄景山,等.汶川8. 0级地震断层下盘基岩衰减关系分析[J].自然灾害学报,2018,22(2):32-39.LI Ping,SHENG Jian,BO Jingshan,et al. Footwall attenuation relationships of Wenchuan 8. 0 earthquake[J]. Journal of Natural Disasters,2018,22(2):32-39.(in Chinese)
[8]邢海灵,蒋通,姚东生,等.成层场地由基岩反应谱直接计算地表反应谱的等效线性化方法[J].岩土工程学报,2012,34(12):2337-2344.XING Hailing,JIANG Tong,YAO Dongsheng,et al. Calculation of free field response spectrum from bed rock response spectrum directly for horizontally-layered site using equivalent linear method[J]. Chinese Journal of Geotechnical Engineering,2012,34(12):2337-2344.(in Chinese)
[9]苏经宇,周锡元,樊水荣.由基岩反应谱直接估计地面反应谱的实用方法[J].岩土工程学报,1992,14(5):27-36.SU Jingyu,ZHOU Xiyuan,FAN Shuirong. A practical method for calculating ground response spectrum directly from base rock response spectrum.[J]. Chinese Journal of Geotechnical Engineering,1992,14(5):27-36(in Chinese)
[10]潘晓东,董天乐,蔡袁强,等.非线性成层地基下基岩平稳地震动输入[J].振动工程学报,2006,19(2):246-251.PAN Xiaodong,DONG Tianle,CAI Yuanqiang,et al. Study on stationary earthquake motion input at bedrock under nonlinear layered soils[J].Journal of Vibration Engineering,2006,19(2):246-251.(in Chinese)
[11] GB50011-2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2016.GB50011-2010 Code for Seismic Design of Buildings[S]. Beijing:Building Industry Press of China,2016.(in Chinese)
[12]胡聿贤.地震工程学(第2版)[M].地震出版社,2006.HU Yuxian. Earthquake Engineering(second edition)[M]. Seismological Press,2006.(in Chinese)
[13]赵凤新,刘爱文.地震动功率谱与反应谱的转换关系[J].地震工程与工程振动,2001,21(2):30-35.ZHAO Fengxin,LIU Aiwen. Relationship between power spectral-density functions and response spectra of earthquake ground motions[J].Earthquake Engineering and Engineering Dynamics,2001,21(2):30-35.(in Chinese)
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