基于汶川地震记录的旋转不变平均持时特征分析

强震持时计算分析中,选取记录不同分量会导致持时的离散性。针对持时与传感器布设方向存在不合理的依赖性这一问题,引入旋转不变平均持时概念。分析了断层距小于300km的87个台站汶川地震加速度记录的旋转不变平均持时与记录持时及合成时程持时的相关性,探讨了旋转不变平均持时随断层距的空间变化特性。结果表明:旋转不变平均持时与记录持时及合成时程持时均具有强相关性,其中:旋转不变平均持时与合成时程持时的相关性强于与记录持时的相关性;旋转不变平均持时与合成时程的重要持时的相关性强于Bolt持时,90%重要持时相关性强于70%重要持时,绝对Bolt持时相关性强于相对Bolt持时。分析认为可将合成时程的90%重要持时代替不受加速度传感器布设方向影响的旋转不变平均持时。旋转不变平均重要持时和相对Bolt持时将随断层距的增大而增加,旋转不变平均绝对Bolt持时则将随断层距的增大而减小。     

汶川地震中强震持时的特征研究

基于汶川地震断层距150 km内56个台站三分量加速度记录分析地震动重要持时的特征,并建立了持时与断层距的拟合关系。与已建立的持时公式比较,以往分析结果都大大低估了汶川地震动持时。近断层特征对地震动持时有显著影响。断层距小于30 km,上盘和下盘场点的持时明显低于平均水平;断层距大于30 km,地震动持时受到下盘效应的影响,持时较长。破裂方向性效应引起地震动持时在垂直断层方向与水平方向上的差异,同时断层破裂前方向场点的地震动持时较短,比破裂后方向场点的持时小近一倍。     

2021年云南漾濞6.4级地震近场强震动特性分析

选用2021年云南漾濞6.4级地震强震动数据,经校正预处理后,对典型记录的幅值、反应谱和持时进行分析,得到此次地震的地震动特性。结果表明:（1）与我省烈度速报系统自动产出的仪器烈度分布以及实际震害情况相比,近场测点强震动数据所计算出的仪器烈度值与快速仪器烈度分布、现场实际情况基本吻合。（2）三个分量的PGA等值线形态分布大致相似,长轴均沿西北至东南向展开,逐渐衰减,且对于PGA,在近场震中距100 km以内,主震记录高于选用的衰减关系,一定程度上体现了此地震近场高频成分的卓越特性。（3）在震中附近100 km内,结合四个强震动测点距离震中的地理位置可知:随着震中距的增大,地震反应谱峰值周期也在逐渐增大,地震动的高频成分随着距离逐渐衰减。同时,破坏最为严重的区域主要集中在东南方向,其次为西南方向,东北方向基本不受震害影响。（4）此次地震呈中长持时特点,三个分向的持时随着震中距增大而逐渐增加,在震中距超过300 km处逐渐衰减,其中北南方向的持时衰减最快,竖直方向的持时衰减最慢。（5）研究主震地震动持时空间分布,持时受场地条件影响不大,地震破裂主要是沿西北到东南向的右旋走滑,长持时分布在破裂传播方向的东北侧,破裂传播的西北侧持时较短。同时,地震动持时受上盘效应的影响较弱, 在断层上盘和下盘的持时长度没有明显差别, 持时长度都接近拟合得到的平均值。在断层附近持时很小,平均在10s左右。     

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.      

地震动持时的研究进展

地震动持时作为表征地震动的三要素之一,其对震害的影响逐渐被人们所认识.然而,在地震动持时的定义方面,目前没有统一且明确的概念,文中给出了广义的地震动总持时和强震持时的定义,研究者们根据各自领域的研究特点选择更适合的持时.持时大致可以分为两个大类:一是绝对持时,即基于加速度绝对值阈值的括号持时;二是相对持时,也就是反映地震动过程强度或能量变化趋势的持时,比如能量控制的相对持时等.持时的定义有很多种,文章简单地回顾了地震动持时的五种定义,同时,细致地分析了五种持时定义所表现的特点,并介绍了持时预测模型的研究成果,最后针对目前应用持时存在的问题提出了几点认识.     

场地条件对地震动持时的影响

本文通过美国强震记录,按照中国场地类别划分方法进行场地分类,研究不同类别场地条件对地震动持时的影响(70%能量持时)。分析表明,场地条件对持时的影响非常大,总体来说,随着震级的增大持时变长,在同一震级时,各类场地随震中距的的变化趋势差别较大,并且竖直向与水平向的变化趋势很相近。     

基于NGA强震数据的地震动显著持时研究

持时对工程场地或构筑物的非线性地震响应存在显著影响,但目前有关地震动持时的研究相对振幅与频谱的研究较少。本文基于太平洋地震工程中心的NGA-East强震数据库和NGA-West2强震数据库的地震动记录,对5%～95%显著持时进行了研究。分析了地震动两分量时程的显著持时差异及差异产生的原因,进而探讨了显著持时定义自身的缺陷。借助考虑随机效应的多参数非线性回归给出了NGA-East和NGA-West2数据的5%～95%显著持时的预测公式,可在适用的震级和断层距范围内为估计构造稳定区和构造活跃区的显著持时提供参考。     

盆地对三分量地震动持时的影响初探

利用关东盆地及其周边KiK-net台网井上台站记录的2004—2017年15次中强地震（矩震级为5.1～6.9级）构建三分量记录显著持时Ds_5-95数据库。针对该数据库,基于残差分析方法和3种水平向地震动持时参数预测方程,计算并给出事件间残差和事件内残差及其随不同类别参数的变化。在此基础上,初步探讨了水平向地震动持时预测方程应用于预测竖向地震动持时的可行性及盆地对三分量地震动持时的影响。研究结果表明,对于震源距和场地V_S30相当的情况,盆地内台站持时普遍大于盆地外台站持时,盆地内、外台站竖向地震动持时均大于水平向地震动持时;3种预测方程均可实现对盆地外台站水平向地震动Ds_5-95的合理估计,但在一定程度上低估了盆地内台站的水平向地震动Ds_5-95;3种预测方程均无法直接应用于竖向地震动持时预测。     

地震动持时的研究进展

地震动持时作为表征地震动的三要素之一,其对震害的影响逐渐被人们所认识.然而,在地震动持时的定义方面,目前没有统一且明确的概念,文中给出了广义的地震动总持时和强震持时的定义,研究者们根据各自领域的研究特点选择更适合的持时.持时大致可以分为两个大类:一是绝对持时,即基于加速度绝对值阈值的括号持时;二是相对持时,也就是反映地...     

日本福岛县两次复发地震强震动特征对比研究

本文以2021年2月13日和2022年3月16日日本福岛近海区域发生的M_w7.0和M_w7.3地震强震动数据为基础,从地震动的幅值、频谱、持时以及衰减关系等方面对比分析了强震动特征,解释了复发性地震的相似性,研究表明:当周期大于0.8s时,两个台站记录的加速度反应谱低于设计谱数值,对于长周期结构影响较小;随着场地和断层距的变化,同一台站在两次地震中加速度反应谱峰值对应的周期并没有发生明显的变化,在长周期部分,断层距较近的台站随着周期的增加反应谱下降的更快;两次地震中相应的PGA和PGV幅值呈对数线性关系;在等效卓越频率方面,2.0～4.0Hz范围内的离散点相对较少,解释了结构破坏较轻的现象;两次地震持时的回归曲线趋势相同,衰减相对较慢。     

Significant duration predictive models developed from strong-motion data of thrust-faulting earthquakes recorded in Mexico City

Predictive models for estimating strong-motion duration in sites characterized by soft-soil profiles are presented in this paper. The models were developed using a strong-motion database that includes observations from subduction interface earthquakes that occurred from 1989 to 2020 and recorded in Mexico City, which is located at source-to-site distances up to 600 km. A linear mixed-effects regression model, which is a statistical fitting procedure that allows to consider the correlation structure of grouped data, was used to develop the predictive models. Relative significant duration was selected to measure strong-motion duration. This measure can be directly associated with the accumulation of energy of the ground movement. The proposed predictive models relate relative significant duration with moment magnitude, either hypocentral distance or closest distance to the rupture plane, and dominant period of the soil. Regression analyses were performed grouping the ground-motion data by both seismic event and site class. Model assumptions, such as homoscedasticity, normality, and linearity of effects, were verified from residual analyses. From the results, the expected value of the natural logarithm of relative significant duration was found to be ～1.2 times greater for an earthquake with a moment magnitude equal to 8.0 than for one of 6.0. An insightful discussion about the sources and character of the uncertainties detected in the proposed predictive models is also presented in this study. The predictive models proposed in this paper are of valuable application in seismic and structural engineering because they allow to circumscribe properly the dimension and randomness of strong-motion duration.     

Correlation between strong motion durations and damage measures of concrete gravity dams

Strong motion duration affects the cumulative damage of structures significantly. There are more than 30 different definitions of strong motion duration. This study describes numerically, the interdependency between several different definitions of strong motion duration and structural accumulated damage indices, and the aim is to determine the definitions of strong motion duration that exhibit the strongest influence on structural damages. For this purpose, 20 as-recorded accelerograms with a wide range of durations, which are modified to match a 5% damped target spectrum, are considered in this study, and several different definitions of strong motion duration, such as significant duration, bracketed duration and uniform duration are proposed for measuring these durations. On the other hand, nonlinear seismic analyses of concrete gravity dams subjected to earthquake motions with different strong motion durations are conducted according to the Concrete Damaged Plasticity (CDP) model including the strain hardening or softening behavior. Peak displacement, local damage index, global damage index and damage energy dissipation are established for characterizing the influence of strong motion duration on the dynamic response of concrete gravity dams. The degree of the interrelationship between strong motion durations and damage measures is provided by correlation coefficients. Comparison of the correlation between the different durations of the ground motion and different damage measures reveals that strong motion durations calculated from different definitions have no significant influence on damage measure based on the peak displacement response of the dam, but are positively correlated to the accumulated damage measures such as the local damage index, global damage index and damage energy dissipation for events with similar response spectrum.     

近断层区的输入能量设计谱及其在基于能量抗震设计中的应用

研究并确定输入能量设计谱是建立基于性能抗震设计和评估能量方法的必要基础。选取断层15km投影距离内的224条强震记录讨论场地类型和断层距等因素的影响,建议了近场地震的输入能量设计谱(EIDS),在与实际记录及日本等国已有抗震规范比较后表明,所建议的设计能量谱能较好地反映近断层区潜在能量需求,在此基础上形成了基于能量的桥梁结构抗震评估设计方法,并用3座实际RC桥墩进行算例验证证明了所建议方法的可行性,表明基于既有抗震规范设计的桥梁结构仍有必要进行考虑近断层效应的耗能能力验算。     

1976年唐山MS7.8地震余震序列持续时间及对地震危险性分析的意义

1976年7月28日唐山MS7.8大地震对唐山及其周边地区造成了重大的人员伤亡和财产损失. 主震之后约15小时滦县又发生了MS7.1地震; 同年11月15日宁河也发生了MS6.9地震. 唐山MS7.8主震后的余震一直持续至今,使该区域至今保持了与主震前相比具有较高的地震活动性．如何估计余震的持续时间,并进一步将余震从主震目录中去除,一直是地震学中所关注的问题．该文通过对数线性回归和理论计算,从不同角度求取并讨论了1976年唐山MS7.8大地震的余震持续时间．结果表明,由对数线性回归计算得到的余震持续时间约为80 a．而基于Dieterich的余震触发理论所得到的余震持续时间则与区域剪应力变化率有关．区域剪应力变化率可有几种不同方法求得: ① 根据剪应力变化率和静态应力降Delta;tau;e及地震回复周期tr之间的关系求取应力变化率,该方法所得到的余震持续时间约为70——100 a;② Ziv和Rubin对Dieterich的方法进行了修正,给出了通过远场加载速率和断层宽度求取应力变化率, 该方法得到的余震持续时间约为80 a;③ 由背景场地震活动性求取远场剪应力速率, 可以得到该地区二维分布式的余震持续时间,此方法得到的研究区域内余震持续时间为130——160 a．综上,唐山地区余震持续时间约为70——140 a,据此, 该地区现今所发生的地震仍为MS7.8唐山地震所触发的余震．      

2021年5月21日云南漾濞6.4级地震强震动记录特征分析

对2021年5月21日云南漾濞6.4级地震获取的28组84条强震动记录进行零线调整和滤波等常规处理,分析了此次地震记录的幅值、频谱以及持时特征。分析结果表明,此次地震峰值加速度范围为0.8~720.3 cm/s²,峰值速度范围为0.1~29.4 cm/s,计算最大仪器地震烈度为8.3度。将实际观测数据与YU2013分区地震动衰减关系对比,结果显示PGA总体上分布于衰减公式误差范围内,预测效果良好。在远场（>250 km）较多台站的PGV观测值大于预测值中位值的加一倍标准差。幅值较大2个台站的加速度反应谱峰值周期均在0.5s以内,其中漾濞台在高频部分三分向加速度反应谱值均超过8度罕遇地震的设计反应谱值。最后计算了5%~75%和5%~95%两种重要持时,结果整体上符合随震中距增大而增大的规律。将两种能量持时结果与BOOMER等（2009）^[12]以及TRIFUNAC等（1975）^[13]的持时预测方程对比,结果较为一致。     

Incorporating low‐cycle fatigue model into duration‐dependent inelastic design spectra

Seismic performance of structures is related to the damage inflicted on the structure by the earthquake, which means that formulation of performance‐based design is inherently coupled with damage assessment of the structure. Although the potential for cumulative damage during a long‐duration earthquake is generally recognized, most design codes do not explicitly take into account the damage potential of such events. In this paper, the classical low‐cycle fatigue model commonly used for seismic damage assessment is cast in a framework suitable for incorporating cumulative damage into seismic design. The model, in conjunction with a seismic input energy spectrum, may be used to establish an energy‐based seismic design. In order to ensure satisfactory performance in a structure, the cyclic plastic strain energy capacity of the structure is designed to be larger than or equal to the portion of seismic input energy contributing to cumulative damage. The resulting design spectrum, which depends on the duration of the ground motion, indicates that the lateral strength of the structure must be increased in order to compensate for the increased damage due to an increased number of inelastic cycles that occur in a long‐duration ground motion. Examples of duration‐dependent inelastic design spectra are developed using parameters currently available for the low‐cycle fatigue model. The resulting spectra are also compared with spectra developed using a different cumulative damage model. Copyright © 2004 John Wiley & Sons, Ltd.     

THE RELATIONSHIP BETWEEN REGIONAL SEISMIC ENERGY RELEASE AND RELATIVE MOTION BETWEEN BLOCKS ON BOTH SIDES OF YISHU FAULT ZONE

Following the 11 March 2011 Japan M_W9.0 earthquake, frequent moderate and small events occurred on the Yishu fault zone and its either side. Using continuous GPS data and a sliding block model, this work studies the relationship between the energy release of these shocks and the block relative motion of either side of the Yishu fault zone. The results show that(1)the equivalent magnitude M from released energy and the two blocks' relative motion are well correlated when earthquakes are selected in a retrieval circle(whose center is the midpoint of the Yishu fault zone)with a radius of 250~500km and using a sliding time window of 3~10 months. The best correlation coefficient between M and the two blocks' relative motion is 0.74 and the T test shows a significant linear correlation between them.(2)Spatial distribution of the correlation coefficients shows that the relative motion of the blocks on both sides affects the energy release in the area from the north part of Yishu fault zone to the Jiaodong Peninsula area and southwest Shandong-Henan border area obviously.(3)Since June 2014, the relative motion of the two blocks on both sides of the Yishu fault zone presents a wave of change, which may be an expression of the accumulation of seismic strain energy in the Yishu fault zone and its two sides. The linear relationship between the equivalent magnitude M from released energy and two blocks' relative motion V can be fitted by linear equation M=0.51*V+3.9, showing that strain energy accumulation could be released by the moderate and small earthquakes in a timely manner, which may favorable to delay the seismic risk in the study area. It also shows, on the other hand, that earthquake energy was not released so completely in the study area since the end of 2015 to 2016, which is likely associated with the Changdao earthquake swarm in 2017.     

Optimal design and effectiveness evaluation for inerter-based devices on mitigating seismic responses of base isolated structures

The optimal design and effectiveness of three control systems, tuned viscous mass damper(TVMD), tuned inerter damper(TID) and tuned mass damper(TMD), on mitigating the seismic responses of base isolated structures, were systematically studied. First, the seismic responses of the base isolated structure with each control system under white noise excitation were obtained. Then, the structural parameter optimizations of the TVMD, TID and TMD were conducted by using three different objectives. The results show that the three control systems were all effective in minimizing the root mean square value of seismic responses, including the base shear of the BIS, the absolute acceleration of structural SDOF, and the relative displacement between the base isolation floor and the foundation. Finally, considering the superstructure as a structural MDOF, a series of time history analyses were performed to investigate the effectiveness and activation sensitivity of the three control systems under far field and near fault seismic excitations. The results show that the effectiveness of TID and TMD with optimized parameters on mitigating the seismic responses of base isolated structures increased as the mass ratio increases, and the effectiveness of TID was always better than TMD with the same mass ratio. The TVMD with a lower mass ratio was more efficient in reducing the seismic response than the TID and TMD. Furthermore, the TVMD, when compared with TMD and TID, had better activation sensitivity and a smaller stroke.     

9.21台湾集集地震中场地类别对地震动若干特性的影响

对9．21台湾集集地震主震的404组强震记录按照不同震中距和场地类别进行分组，然后对加速度水平分量和垂直分量的持时、峰值加速度、包络线、反应谱及其均方差作了，统计分析。结果表明，场地条件对不同分量加速度某些特征的影响较为显著，断层方向对地震动水平特性也有一定的影响。该结果对地震危险性分析以及结构抗震验算有一定参考价值。此外，对地震动三分量包络线的研究为三维地震动模拟提供了一定参考。     

2016年8月24日意大利佩鲁贾M_W 6.2地震动特性

2016年8月24日在意大利佩鲁贾地区发生M_W 6.2地震,截至北京时间2016年8月25日8时,共获得强震记录192组,分析地震动PGA、反应谱以及能量参数的衰减特征。研究结果表明:(1)峰值。此次地震PGA100 cm/s~2记录的水平平均反应谱在短周期明显大于欧洲的设计谱。两水平方向平均反应谱谱比小于1.5,并且在短周期(T0.5 s)谱比差值变化较大,说明此次地震EW向地震动对短周期结构物影响较大;(2)衰减特性。整体看来,此次地震中的PGA值均不同程度低于中国第五代区划图中的中强地震区、中国西部地区、美国西部地区以及欧洲中小地震衰减模型的预测值,且衰减快。Arias强度的衰减变化趋势与Travasarou等的理论模型基本一致,但均小于理论模型值;(3)持时。此次地震的相对持时随震中距增大有逐渐增大趋势,持时均大于Kempton及McQuire的理论模型,表明此次地震的能量释放时间较长。此次意大利地震的地震动参数特征研究表明,该地震具有能量衰减快、持续时间长、对短周期结构物影响较大等特点,验证了此次地震破坏集中在近场、远场震害相对较轻的结论,这也是造成本次地震灾害严重的主要原因。