Spatial distribution of near-fault ground motion

Introduction In order to explain severe damage of structures and ground surface near earthquake fault, many theoretical and numerical methods have been developed to study strong ground motion near the fault (Somerville, 1998) via the kinematic and dynamic source models. Moreover, a great number of valuable strong ground motion records, especially near the fault, have been acquired in recent years. These valuable records provide useful data for improving simulation approaches. Based on those r…     

Far-field analysis of effects of unilateral rupturing fault on the space correlation of strong ground motion

IntroductionThe data of strong motion arrays indicate that the variation of strong motion is intensive within several kilometers. The effect of this kind of variation to long-span or extended structure is very large and has attracted the attention of scientists of earthquake engineering for a long time (FENG, HU, 1981; Abrahamson, et al, 1987, 1991; Abrahamson, 1992; Yamazaki, Turke, 1992). It is well-known that temporal and spatial variation of ground strong motion is generally affected b…     

单侧破裂震源对地震动空间相关性影响的远场分析

将震源简化为有一定破裂长度的线状断层,定量研究了单侧破裂震源对地震动空间相关性的影响．依据波谱随空间坐标的展开式,得到了描述地震动场相关性的表达式．在远场假定下,给出了理论解析公式,并依据地震动Fourier谱随空间坐标的展开条件,得到了计算地震动场孔径的理论公式．最后,以一次地震为例,给出了孔径随震中距、方位角、频率变化的三维图象．      

断层附近地面地震动空间分布

运用震源位错模型, 分析矩形垂直断层及倾斜断层走向滑动和倾向滑动的近场地震动场，以地表地震动的傅立叶振幅谱比为参量考察断层附近地震动空间分布的特点. 结果表明, 断层附近的地震动强度主要受近旁子断层的控制，高强度的地震动分布在紧靠断层两侧有限的带状区域内，长周期分量受断层破裂传播方向性的影响. 走向滑动的方向性影响主要表现在垂直于断层走向的分量，倾向滑动则表现在平行于断层走向的分量，且深震在地面上引起的地震动强度分布比浅震要平缓，影响范围宽. 倾斜断层产生的地震动有明显的上盘效应，空间分布不对称，与观测结果相符. 最后给出了断层附近近场地震动强度分布拟合函数的表达式，并与美国的1997统一建筑规范规定的近场因子作了比较.      

Simulation of digital earthquake accelerograms using the inverse discrete Fourier transform

Acceleration time histories of horizontal earthquake ground motion are obtained by inverting the discrete Fourier transform, which is defined by modelling the probability distribution of the Fourier phase differences conditional on the Fourier amplitude. The Fourier amplitude spectrum is modelled as a scaled, lognormal probability density function. Three parameters are necessary to define the Fourier amplitude spectrum. They are the total energy of the accelerogram, the central frequency, and the spectral bandwidth. The Fourier phase differences are simulated conditional on the Fourier amplitudes. The amplitudes are classified into three categories: small, intermediate and large. For each amplitude category, a beta distribution or a combination of a beta distribution and a uniform distribution are defined for the phase differences. Seven parameters are needed to completely define the phase difference distributions: two for each of the three beta distributions, and the weight of the uniform distribution for phase differences corresponding to small Fourier amplitudes. Approximately 300 uniformly processed horizontal ground motion records from recent California earthquakes are used to develop prediction formulas for the model parameters, as well as to validate the simulation model. The moment magnitude of the earthquakes ranges from 5.8 to 7.3. The source to site distance for all the records is less than 100 km. Copyright © 2002 John Wiley & Sons, Ltd.     

地下地震动频谱特点研究

本以美国加州强震观测计划(CSMIP）的6个岩土工程台阵的429条地表和地下地震动程为数据基础,按照各台阵场地土层分布情况将台阵分为七层和“上层／基岩”两类。对于同一类场地,将其中的各次地震,按照震级的大小将其分为三类;对于同一类地震,首先计算各地震的水下分量5％阻尼的反应谱以及相应的标准反应谱,并得到各深度测点相对于最深处测点的反应谱比值,分析比较两类场地下各深度反应谱的特点,另外,傅里叶谱也是本分析的一部分,通过对不同深度地下地震动的反应谱和傅氏谱的比较,得到了一些较有意义的结论,以供工程参考。     

Rupture directivity and hanging wall effect in near field strong ground motion simulation

A random synthesis procedure based on finite fault model is adopted for near field strong ground motion simulation in this paper.The fault plane of the source is divided into a number of sub-sources,the whole moment magnitude is also divided into more sub-events.The Fourier spectrum of ground motion caused by a sub-event in given sub-source,then can be derived by means of taking the point source spectrum,attenuation with distance,energy dissipation,and near surface effect,into account.A time history is synthesized from this amplitude spectrum and a random phase spectrum,and being combined with an envelope function.The ground motion is worked out by superposition of all time histories from each sub-event in each sub-source,with time lags determining by the differences between the triggering times of sub-events and ddistances of the sub-sources.From the example of simulations at 21 near field points in a scenario earthquake with 4 dip angles of the fault plane,it is illustrated that the procedure can describe the rupture directivity and hanging wall effect very well.To validate the procedure,the response spectra and time histories recorded at three near fault stations MCN,LV3 and PCD during the Northridge earthquake in 1994,are compared with the simulated ones.     

近场强地震动模拟中对破裂的方向性效应和上盘效应的表达.

为了模拟近场强地震动，采用了基于有限断层模型的一种随机合成方法．震源破裂面被剖分成一定数量的子源，总的地震矩分成数量更多的子震的矩．一给定子源中一次子震引起的场地地震动的傅氏谱，通过考虑点源的谱、随着距离的衰减、能量耗散及近地表效应等导出．据此幅值谱和一个随机相位谱，并与一个时程包络函数结合，合成一个子震时程．将各子源中各个子震引起的所有时程叠加，得出场地的地震动时程．叠加中，各子震时程之间的时滞，据子震发震时差和子源至场地的距离差别引起的时差确定．对一个设定地震，选用4个断层面倾角，计算了近场21个地点的地震动．结果表明，本文方法可以很好地表达破裂的方向性效应和上盘效应．为了验证方法的可靠性，对1994年美国北岭地震中3个近断层台站MCN，LV3和PCD模拟的地震动与实际记录的加速度反应谱和时程作了比较．      

基于随机Fourier谱的地震动合成研究

本文基于与物理随机模型相对应的随机Fourier谱,通过对地震动非平稳性及其所受影响机制的分析,建立了非平稳地震动合成的新方法。通过引入基本相位差谱,并将初始相角视为随机变量,以相位差谱的分布特性、随机地震动的统计特征以及对结构随机反应的影响为原则,利用计算机程序生成相位差谱,提出了基于随机Fourier谱的合成地震动方法。同时,利用快速FFT技术提高合成精度。根据本文提出的合成方法获得的地震动具有非平稳特性,将为后续研究工作提供合理的地震动加速度时程。     

对二滩水电站坝区场地地面运动的估计

本文以二滩地区为例,介绍如何结合地震危险性分析的结果,采用理论模拟方法估计工作地区近场强地面运动情况,为工程抗震设计提供必需的地面运动动力学参数。 文中采用理论方法计算剪切位错点源的格林函数;根据断裂动力学模型、近场地面峰值加速度衰减曲线和场地附近的加速度谱来标定震源模型;计算了若在坝区附近发生M_s=6.2级地震时场地的综合地震图、加速度傅氏谱和反应谱等。由理论模拟计算的峰值加速度衰减曲线和观测结果符合较好。在震中距为20km处的加速度谱的截止频率f_max与观测值相吻合（约为8 Hz左右）,相应的峰值加速度为211cm/s²,振动持续时间为3.4秒。     

Synthetic earthquake ground motions on an array

Linear and especially non-linear analyses of spatially extended structures, such as pipelines and bridges, often requires specification of time histories of ground motion at an array of closely spaced points. As the number of dense accelerograph arrays worldwide is small, and the number of earthquake observations is limited, synthetic motions with desired characteristics become necessary. This paper presents a method for synthesizing such motions, which is an extension of the SYNACC method, developed first in the early 1970s for synthetic accelerations, velocities and displacements at a point, and later extended to synthetic near surface strains, rotations and curvatures of ground motion at a point. It consists of unfolding in time a site specific Fourier amplitude spectrum of ground acceleration, obtained by an empirical scaling model, by representing the ground motion as a superposition of traveling wavelets of Love and Rayleigh waves and body waves, which propagate with phase and group velocities consistent with the dispersion characteristic of the site geology, approximated by parallel layers. Uniform hazard Fourier spectra or any specified target Fourier spectrum can also be used. Derivations of the point strains, rotations and curvatures are also presented. The method is illustrated for scenario M6.5 and M7.5 earthquakes and three dispersion models.     

基于强震动记录确定的场地卓越周期

本文介绍了3种根据场地强震动记录获取场地卓越周期的方法: ① 地表记录的傅里叶谱分析法; ② 地表水平/垂直傅里叶谱比法; ③ 地表/地下傅里叶谱比法. 基于日本强震动观测台网KiK-net中两个基岩台站和两个Ⅲ类场地台站获取的数百条强震动记录, 分别使用上述3种方法确定场地的卓越周期, 并对比分析各种方法的优缺点及其适用情况. 结果表明: 对于基岩场地, 由于记录信息复杂, 局部场地条件对地震动影响较小, 地震动自身特性突出, 导致3种方法所得到的结果均比较分散; 对于土层场地, 场地条件影响比较显著, 3种方法基本都可以得到一个较为准确的数值; 但对于某些场地, 地表水平/垂直傅里叶谱比法所得结果存在不确定性, 相比之下, 地表/地下傅里叶谱比法则能给出一个更为准确的场地卓越周期值.      

双侧破裂模型对地震动空间相关性影响的定量研究

本在震源为双侧线状断层破裂模型的假定下，根据震源理论和波谱随空间坐标的展开式，得到了场地两点地震动Fourier谱的表达式Ab(f)=Aa(f)exp(a1δ0 a2δθ，中提出了将双侧破裂模型分解为两个单侧破裂模型计算双侧破裂模型a1和a2的数值方法，以一次地震（M＝6）为例，分析了双侧破裂模型对地震动空间相关性的影响，计算了 a1和a2的实部和虚部以及孔径随震中距，方位角和频率变化的三维图像。     

国家测震台网中心强震动数据处理系统的设计与实现

为满足国家测震台网海量强震动观测数据的处理时效性、格式标准化、产品丰富度等需求,开发了兼容多类强震动观测站点且具备数据快速汇集、处理及归档等功能的强震动数据处理系统。该系统提供地震波形人机交互数据预处理界面,对加速度记录进行预处理,进一步分析预处理后的加速度事件波形数据,计算得到地震动各项参数,包括峰值加速度(PGA)、峰值速度(PGV)、峰值位移(PGD)、仪器烈度、持时、傅氏谱、反应谱和三联谱等,可以导出地震元数据、地震记录波形,对各类数据进行归档存储。该系统具有平台统一性、功能集成性、数据完备性等特点,有效提升了日常数据处理和管理能力,能在地震应急、震害评估和科学研究中发挥实效。     

基于汶川MS8.0地震强震动记录的山体地形效应分析

2008年汶川M_S8.0地震中, 固定和流动地形影响台阵记录到大量主余震记录, 本文通过对其均方根加速度、 相对持时、 频谱等要素进行分析, 讨论了山体地形效应的特征及其影响因素. 对于自贡西山公园地形台阵各测点的分析结果显示: 该台阵山脚基岩位置地震动的均方根加速度和相对持时明显低于山体周边土层场地和山体基岩测点; 随着高程的增加, 山体基岩测点的均方根加速度逐渐变大, 相对持时则变化不大, 傅里叶谱形状也大体一致, 在2.0—5.0 Hz频段内有所放大; 山体周边土层场地和山体地形对于相同地震动输入中不同频段内地震动能量的放大水平不同, 从而导致二者的地表地震动强度产生显著差异, 且前者对地震动持时的增加更加显著.      

芦山地震地震动上下盘效应研究

2013年4月20日的芦山7.0级地震是继2008年5月12日汶川8.0级特大地震之后,发生在龙门山断裂带上的又一次大震级逆冲型地震.与汶川地震相比,芦山地震的发震断层没有地表出露,断层的滑动角更大,其逆冲性质更强烈.本文挑选了芦山地震中断层距小于200km的45条强震动记录,基于地震动衰减关系进行统计分析,对比了上盘和下盘台站地震动参数相对于衰减关系的对数残差.结果表明：芦山地震的上下盘效应明显,近断层上盘地震动的高频成分要高于同断层距的下盘;上盘地震动衰减要明显快于下盘.地震动衰减关系用简单的一个距离参数很难描述近场断层尺寸效应的影响,也很难模拟地震动上下盘效应.因此,在近场强地面运动模拟中,应多考虑有限断层模型,以模拟断层的尺寸效应.     

表层沉积物特性对地震地面运动的影响研究

建立包含震源、沉积盆地和表层低速沉积层的二维模型,采用交错网格有限差分/伪谱混合方法求解地震波传播,讨论沉积层厚度和速度对地震地面运动的作用。结果表明:沉积层内产生的地震波的多重反射以及转换会引起地面运动持续时间的延长,它们的相干叠加会造成地面运动峰值的放大;随着沉积层速度的增加,多重反射与转换波的能量减小,地面运动持续时间减小,但是不同速度或者不同厚度的低速层模型均显示出一致的地面运动峰值放大特征。结果说明,在包含震源、沉积盆地和沉积层的模型中,沉积层对地面运动的作用机理更复杂。在实际应用中有必要同时考虑这些因素的综合作用。     

考虑场地类别与强震持时的滞回耗能谱的特征分析

基于力或位移的结构抗震设计方法大多无法反映地震动持时的影响,而能量设计方法则能较好地弥补其不足。按场地类别和强震持时,将302条Northridge地震记录分为15组,对地震记录的峰值进行规一化处理,采用钢筋混凝土退化三线型恢复力模型,对单自由度体系进行弹塑性时程分析,研究场地类别、强震持时、强度屈服水平以及结构周期等因素对滞回耗能的影响。结果表明:在给定地震记录的峰值和屈服强度水平下,结构的滞回耗能依赖于场地条件和强震持时等因素;滞回耗能随强震持时的增加而增大,随场地特征周期的增加而增大。通过非线性回归分析,建立了与峰值加速度、峰值速度、强震持时相对应的简化滞回耗能谱的计算公式。     

基于物理的随机地震动模型研究

基于物理联系研究地震动随机性,建立了随机地震动与基底输入傅氏谱、场地固有圆频率和场地等价阻尼比之间的物理关系,从随机傅氏谱函数角度描述了地震动随机过程的随机性本质。结合Ⅳ类工程场地的实测地震动记录资料,由数值方法识别了给出基本随机变量的概率分布参数。与实测记录对比表明,本文建立的随机地震动模型具有明确的物理概念,可充分反映地震动的变异性特征。     

Simulation of three-dimensional strong ground motions along principal axes,San Fernando earthquake

Power spectral density which describes frequency content is considered one of the most significant properties to be taken into account when generating ground motions through the use of stochastic processes. Using a smoothed and normalized Fourier amplitude spectrum, frequency content for components of motion along a set of principal axes is estimated. Fourier amplitude spectra obtained by this moving-window technique are presented which show the time dependency of frequency content for motions produced by the San Fernando earthquake of 9 February 1971. A mathematical model to simulate ground motion processes is proposed for which both the intensity and frequency content are non-stationary. Using this mathematical model with parameter characteristics along principal axes similar to those of the motions recorded during the San Fernando earthquake, three-dimensional ground motions are synthetically generated. The properties of the simulated motions show general characteristics similar to the characteristics observed in real accelerograms. The suggested model is considered adequate for engineering purposes.