Response spectra for nuclear structures on rock sites considering the near-fault directivity effect

Near-fault ground motions, potentially with large amplitude and typical velocity pulses, may significantly impact the performance of a wide range of structures. The current study is aimed at evaluating the safety implications of the near-fault effect on nuclear power plant facilities designed according to the Chinese code. To this end, a set of nearfault ground motions at rock sites with typical forward-directivity effect is examined with special emphasis on several key parameters and response spectra. Spectral comparison of the selected records with the Chinese and other code design spectra was conducted. The bi-normalized response spectra in terms of different corner periods are utilized to derive nuclear design spectra. It is concluded that nuclear design spectra on rock sites derived from typical rupture directivity records are significantly influenced both by the earthquake magnitude and the rupture distance. The nuclear design spectra specified in the code needs to be adjusted to reflect the near-fault directivity effect of large earthquakes.     

地震动有效幅值不对称性特征研究

利用国内外287次5级以上的实际地震记录,研究了地震动有效幅值的不对称性特征及其规律。分别用有效幅值不对称比和有效幅值作用次数不对称比来描述地震动的不对称性,统计结果具有规律性,并提出了其估计公式。结果表明:地震动有效幅值不对称性和有效幅值作用次数不对称性特征明显,幅值不对称比的平均值不受震级影响,但与截断比呈非线性递增关系,截断比小于1/3时不对称比在1.07～1.20之间,截断比大于1/3时不对称比在1.13～1.96之间;有效幅值作用次数不对称比的平均值不受震级影响,但与截断比呈非线性递增关系,截断比小于1/3时作用次数不对称比在1.04～1.31之间变化,截断比大于1/3时作用次数不对称比在1.22～1.80之间。     

The effect of energy concentration of earthquake ground motions on the nonlinear response of RC structures

Usually different nonlinear time responses due to earthquake ground motion are distinguished by non-localized spectra, such as the response or power spectra. However, these spectra are often not able to explain the large discrepancy among structural responses caused by different earthquake records. The local spectrum, obtained by the wavelet transform, shows the energy distribution in the time-frequency domain, and helps to understand the very different structural responses. By changing the energy distribution in time of several earthquake records, the effect of energy concentration on the structural nonlinear response is demonstrated. This paper proposes the use of the characteristic peak ground acceleration, which is the peak of the signal constructed by only a few special wavelet components of an earthquake record, to quantify the difference between earthquake records, since this measure indicates the magnitude of the energy concentrated around the fundamental period of a structure.     

地震地面运动的转动随机模型

In this paper, the characteristics of rotational power spectra in different sites are analyzed according to the relationship between the rotations and translations of ground motion from the elastic wave theory, and then the unified mathematical model of the spectra (including the torsion and rocking) is presented. Through the use of a lot of earthquake records and curve-fitting of the least square method, the statistical results of rotational power spectral parameters in defferent sites are given.     

地震噪声异常实时监测

本文采用福建省85个测震台站2012年全年噪声资料的垂直向记录作为研究对象,将噪声记录以每5min为单位进行分段,求出每小段的功率谱,应用概率分布函数方法绘出台站的PDF图,之后利用网格概率法确定出台站的高低噪声参照线。另外,根据85个台站的PDF图异常,将噪声异常分成四类：缺数异常、低噪处异常、高噪处异常、中噪处异常。依据四类异常的特征分别研究出四类异常的挑选方法,再将这四种挑选方法结合形成地震噪声实时监测系统。选取福建省85个测震台站2013年7月份的噪声记录进行验证,结果表明：85个台站应用地震噪声实时监测系统识别出来的异常正确率都达到90%以上,挑选效果很好,并可应用于台站噪声实时监测。     

An evolutionary ground motion model for earthquake analysis of structures in zones with little history

Time history methods to perform structural dynamic analysis for vulnerability, seismic risk and structural performance studies are frequent in all kinds of projects. To apply these methods it is necessary to have earthquake acceleration records consistent with the seismic characteristics of the zone where the structure or facilities will be constructed. In regions where seismic activity is important but recorded history is scarce, the simulation of acceleration records becomes necessary.In the present work, a methodology to simulate artificial acceleration records is presented. This methodology is based on the theory of non-stationary random processes with evolutive power spectral density function. The random process model proposed uses the definition of the Boore power spectral density function, in order to take into account the seismic mechanism of the zone. The zone of Mendoza, in the province of Cuyo in Argentina close to the border with Chile, was selected to make applications of the theory. This zone was selected because it has important seismic activity but the information about this activity is scarce. To evaluate the performance of the method some response and seismic variables such as response spectra, Arias evolutionary intensity, and power spectra were computed. The results were compared with actual earthquake data obtained in the region.     

Conversion and comparability of data presentations on seismic background noise

Data on seismic background noise are collected, amongst others, for assessing the suitability of sites for temporary or permanent seismic recordings. Site quality requirements depend on the task of seismic observations and thus on their resolution, dynamic range, bandwidth and frequency range. Till now noise data are collected with a wide range of instruments, both analog and digital, of different bandwidth, resolution and transfer functions. Accordingly, noise appearence in seismic records, amplitude- and frequency-wise, differs and the various kinds of noise spectra derived therefrom vary too. They are not easily comparable amongst each other and with older presentations of noise spectra derived from analog records. Also, when having determined noise power density spectra from digital records it is not so obvious what this means in terms of noise ground motion amplitudes or noise appearance in records of different bandwidth and vice versa. The paper does not aim at serving as a guide to station site selection but rather to present and comment the relationships to be used for the conversion of power and amplitude spectra into different kinematic units and for calculating from the spectral representations of seismic noise the related frequency dependent RMS or average peak amplitudes of different bandwidth and vice versa. For the new global high (NHNM) and low-noise model (NLNM) given by Peterson (1993) in dB of acceleration power density the related velocity and displacement power spectral densities are presented both graphically and tabulated. Examples for the application of the conversion relationships and the effect of bandwidth on noise and signal amplitudes are given. For a selected data set from a site-selection noise survey in NW Iran the suitability of some potential sites is assessed by comparison with the NLNM.     

Empirical evidence for a celestial origin of the climate oscillations and its implications

We investigate whether or not the decadal and multi-decadal climate oscillations have an astronomical origin. Several global surface temperature records since 1850 and records deduced from the orbits of the planets present very similar power spectra. Eleven frequencies with period between 5 and 100 years closely correspond in the two records. Among them, large climate oscillations with peak-to-trough amplitude of about 0.1 and 0.25°C, and periods of about 20 and 60 years, respectively, are synchronized to the orbital periods of Jupiter and Saturn. Schwabe and Hale solar cycles are also visible in the temperature records. A 9.1-year cycle is synchronized to the Moon's orbital cycles. A phenomenological model based on these astronomical cycles can be used to well reconstruct the temperature oscillations since 1850 and to make partial forecasts for the 21st century. It is found that at least 60% of the global warming observed since 1970 has been induced by the combined effect of the above natural climate oscillations. The partial forecast indicates that climate may stabilize or cool until 2030–2040. Possible physical mechanisms are qualitatively discussed with an emphasis on the phenomenon of collective synchronization of coupled oscillators.     

Observations indicating parametric instabilities in internal gravity waves at thermospheric heights

Abstract

Theoretical studies predict a parametric instability of finite-amplitude internal gravity waves which hitherto has been observed only in laboratory experiments. The occurrence of this process in the atmosphere is of basic interest because finite-amplitude gravity waves, which are almost ubiquitous especially at upper atmospheric heights, would produce unstable flows even at large Richardson numbers. Maximum entropy power spectra of a strong internal gravity wave in the thermosphere, which was generated by a volcanic eruption and detected on records of the Doppler shift of high-frequency radio waves, in fact show good agreement with the spectra of synthetic Doppler records obtained from a calculated unstable gravity wave. The frequencies and wavenumbers observed in the gravity wave domain satisfy in particular the theoretically predicted resonance conditions. The observed Doppler records also show two significant lines in the acoustic domain which probably result from a nonlinear interaction with the basic gravity wave. It is suggested that acoustic double peaks, which are commonly observed in high-frequency Doppler spectra in the presence of nearby thunderstorms, represent parametric instabilities of internal gravity waves generated by penetrative cumulus convection.     

熊本MW7.0地震近场地表与井下地震动对比研究

选取日本熊本M_W7.0地震断层距小于200 km的82个近场KiK-net台站记录到的三分量记录数据进行基线校正后,获得近场地面运动水平向的峰值加速度PGA、峰值速度PGV及周期为0.2,1,2,3,5和10 s的加速度反应谱数据,并与美国NGA-West2的地震动预测模型相比较,研究熊本地震地表和井下地震动峰值及反应谱的衰减特征,通过比较KiK-net台站地表与井下记录结果,探讨浅层场地放大效应的影响。研究结果表明:① 对于井下观测结果,NGA-West2的地震动模型对PGA和短周期0.2 s的反应谱的预测值与井下观测值相比整体偏高,而PGV和较长周期地震动（如1,2和3 s的反应谱）的预测值与井下观测值较为吻合;② 地表观测记录的PGA,PGV和周期为0.2—3 s的反应谱残差整体上随v_S30对数值的增大呈线性减小的趋势,而周期为5 s和10 s的长周期部分,其场地效应的影响很小;③ 相对于井下记录,地表记录的地震动PGA,PGV和周期为0.2,1和2 s的反应谱有明显的放大,这种放大作用随浅层场地剪切波速的增大而减小;周期为3,5和10 s时长周期地震动的放大效应很小。      

地震动永久位移对结构地震反应影响

本文推导了基于位移激励计算单自由度体系拟速度谱公式,通过构造的脉冲位移时程对公式精度进行了验证;之后利用小波变换去除强震记录噪声而保留地震动永久位移,再基于去趋势项方法和滤波方法去除永久位移后,计算拟速度谱。算例结果表明:短周期段内,不保留永久位移的位移激励拟速度谱值与保留永久位移的位移激励拟速度谱值相差很小;中长周期段内,不保留永久位移的位移激励拟速度谱值总体上小于保留永久位移的位移激励拟速度谱值,且不保留永久位移时,滤波方法引起的拟速度谱降幅大于去趋势项方法所引起的拟速度谱降幅。因此,基于位移激励计算中长周期结构的地震反应时,应保留地震动永久位移,或基于去趋势项方法去除永久位移。     

Smoothed response spectra including soil-structure interaction effects

Elastic response spectra that take into account the effects of soil-structure interaction on soft soils are developed. The response spectra are calculated utilizing a 3 DOF system including deformations of the superstructure and foundation. The equations of motion of the system are solved using direct integration under normalized earthquake records. Statistical processing of the results is implemented resulting in response spectra for "short and dense buildings with low interaction", "short and dense buildings with high interaction", "tall and light buildings with low interaction" and "tall and light buildings with high interaction". The resulting response spectra are smoothed and discussed.     

唐山余震震源参数和衰减的联合反演

利用唐山余震的数字化地震记录,研究了唐山余震的震源参数.发展了一种 P 波谱的反演方法,以消除用波谱分析求解震源参数过程中的不确定因素的影响.经过数值实验和对实际资料的应用,初步证明了这种方法的实用性.利用5个台站接收的35次地震记录的 P 波频谱资料,反演了唐山滦县地区的震源动力学参数,得到了5个台站的 P 波 Q 值和震源频谱的高频衰减率.Q 值分布在408——847之间,均值为520;值分布在1.54——3.22之间,均值为2.41.在该区域的小震频谱的定标律研究中,发现应力降随地震矩的增加而增加.      

Free‐field rotations during earthquakes: Relevance on buildings

Soil rotations around horizontal axes, during an earthquake, are studied through records collected by closely spaced arrays of strong motion accelerometers. The cross power spectrum of accelerations at nearby stations has been generally utilized to describe the spatial distribution of the motion. A number of cross spectra have been obtained during the training of these arrays. To take profit of these elaborations, a mathematical relation is established between the cross power spectrum and the power spectrum of the rotation. Rotation data presented by Liu et al, concerning 52 earthquake records collected at a single station in Taiwan, are compared with rotation data computed according to our procedure. The two series of data are suitably normalized to the peak horizontal acceleration. The data are shown in function of the distance from epicentre. The same ratio, computed according to our procedure, is in good agreement with the average value of these data. Direct measurements and the present approach have lead to evaluations of rotation higher than those predicted by mathematical investigations on the basis of the wave propagation theory, for comparable circumstances. The relevance of this input motion for relatively tall structures is examined, with reference to the structural effects that the horizontal motion concurrently provides. Meaningful will be ranked those effects of the order of magnitude of 20% or higher than those implied by the horizontal excitation. For understanding the relevance on building structures, the procedure has two areas of concern: 1) the coherence implicit in the cross power spectra, which depends on the interpolation process of the original records, collected in the arrays of instruments, and 2) the relative importance of the vertical to the horizontal input motion. As to the second item, the relevance of the rotation component on structures largely depends on the relative importance of the vertical to the horizontal input motion. When the records in an area a few km from the epicenter are considered, the response spectrum of vertical motion is comparable and in some records even higher, than that of horizontal motion, over the entire range of frequencies. This has been observed as well for the 2009 earthquake event of L'Aquila, Italy, and that at the Christchurch (New Zealand) 2011. When the response spectrum of vertical motion is comparable to that of horizontal motion, the effects of rotational motions on most engineering structures can be meaningful. Copyright © 2011 John Wiley & Sons, Ltd.     

地震地面运动模型的研究

地震地面运动被模拟成均值为零的两次过滤Ｇａｕｓｓ白噪声随机过程。第一次过滤削减白噪声的高频含量;第二次过滤削减白噪声的低频含量。根据地震记录的功率谱,使用非线性函数的最小二乘法,确定了两次过滤Ｇａｕｓｓ白噪声随机过程的功率谱密度函数的参数。     

近断层速度脉冲的地震动特性研究

在搜集了大量近断层具有速度脉冲的记录后,对有速度脉冲和无速度脉冲的记录的反应谱和特征周期进行了对比,将近断层记录的反应谱与我国规范标准反应谱进行了比较, 还将各次地震有速度脉冲记录的反应谱和特征周期与规范标准谱及规范给出的特征周期进行了比较. 通过比较可知,在长周期段（大约在1.5 s以后）,有速度脉冲记录的反应谱值要比无速度脉冲记录的反应谱值大;计算特征周期时,对于近断层记录,T1和T2有后延的趋势, 采用不固定频段的方法计算更加合理; 无论是相对我国规范的Ⅰ类还是Ⅱ类场地, 有速度脉冲记录的特征周期比规范中给出的值都要大,均在规范值的2倍以上.      

Effects of solar and geomagnetic activities in variations of power spectra of electrical and meteorological parameters in the near-Earth atmosphere in Kamchatka during October 2003 solar events

We perform spectral analysis of records of meteorological (temperature, humidity, pressure of the atmosphere) and electrical (strength of quasi-static electric field and electric conductivity of air) parameters observed simultaneously at the Paratunka observatory during the solar events of October 21–31, 2003. Also, we use simultaneous records of X-ray fluxes of solar radiation, galactic cosmic rays, and the horizontal component of the geomagnetic field. We show that the power spectra of the meteorological parameters under fine weather conditions involve oscillations with a period of thermal tidal waves (T ～ 12 and 24 h) caused by the influx of thermal radiation of the Sun. During strong solar flares and geomagnetic storm of October 29–31 with a prevailing component of T ～ 24 h, their spectra involve an additional component of T ～ 48 h (the period of planetary-scale waves). With the development of solar and geomagnetic activities, the power spectra of atmospheric electric conductivity and electric field stress involve components of both thermal tidal and planetary-scale waves, which vary highly by intensity. In the power spectra of galactic cosmic rays accompanying the strong solar flares, components with T ～ 48 h were dominant with the appearance of additional (weaker by intensity) components with T ～ 24 h. The simultaneous amplification of components with T ～ 48 h in the power spectra of electric conductivity and electric field strength provides evidence of the fact that the lower troposphere is mainly ionized by galactic cosmic rays during strong solar flares and geomagnetic storms. The specified oscillation period with T ～ 48 h in their spectra, as well as in the spectra of X-ray radiation of the sun, is apparently caused by the dynamics of solar and geomagnetic activities with this time scale.     

基于HHT的结构强震记录分析研究

本文利用HHT(Hilbert-HUang Transform)研究了结构强震记录的时频特性及结构动力特性。介绍了一座7层钢混框架结构及其强震观测台阵概况以及经历的地震情况,选择了在3次有代表性地震中的强震记录,利用一种新的非平稳信号处理方法HHT对记录进行了处理和分析,得到了该结构强震记录的时频幅值三维分布以及边际谱,并将边际谱与傅里叶谱进行了对比,识别了结构的自振频率。研究表明,对结构强震记录这种强非平稳信号,可以利用HHT分析得到能量集中分布的频段与时间范围。HHT边际谱与傅里叶谱相比,在低频部分幅值要大于傅里叶谱,而在高频部分,幅值要小于傅里叶谱。利用结构强震记录识别的自振频率比环境振动测试结果要小。     

Characteristics of near-fault ground motion containing velocity pulses

There are many reports about the research on near-fault velocity pulses, which focus on the generation of velocity pulse and simplify the velocity pulse so as to be used in the seismic design of structure, However few researches have put emphasis on the characteristics of near-fault ground motions containing velocity pulses, especially the characteristics relevant with the design response spectrum prescribed by the code. Through collection of a large number of near-fault records containing velocity pulses, the response spectra and the characteristic periods of records containing no pulses are compared with those of records containing pulses. Response spectra of near-fault records are compared with standard spectra given by code; furthermore, the response spectra and the characteristic periods of each earthquake are compared with that given by code. The result shows that at long periods （longer than 1.5 s）, the response spectrum of pulse-containing records is bigger than the response spectrum of no-pulse-containing records; when the characteristic period of near-fault records is calculated, the method that does not fix frequency is more reasonable because the T1 and T2 have a lagging tendency; regardless of the site Ⅰ and site Ⅱ, the characteristic period of pulse-containing records is over twice bigger than the characteristic period given by the code,     

Long-period ground-motions for large European earthquakes, 1905–1992, and comparisons with stochastic predictions

Data from European earthquakes in themagnitude range 5 to 8 between 1905 and1992 have been collected and collated, fordistances between 200 and 3400 km. The datainclude both analog and digital records,with priority on wave paths traversingnorthern Europe. Historical analog recordsfrom Uppsala and De Bilt have beendigitised, and appropriate responsefunctions established. New estimates ofseismic moments and moment magnitudes havebeen obtained, which together with momentmagnitudes from other sources have beencompared to surface wave magnitudes. Thelocation of the largest north Europeanearthquakes substantiate earliersuggestions that rifted regions (passivemargins, rifts and grabens) may have thelargest seismic potentials. Arandom-vibration (stochastic) model forprediction of observed peak amplitude,period and Fourier acceleration spectra hasbeen developed and calibrated againstintermediate and long-period observations.Reasonably good correspondence betweenpredictions and observations are obtainedwhen using a simple Brune source spectrum,new values for seismic moments andmoment-magnitude relations, together withreasonable assumptions for stress drop,geometrical spreading and anelasticattenuation. The model is useful first ofall for predicting broad regional averages,but as such it is robust, and it also hasthe potential to be used in an engineeringcontext for predicting spectral responseand peak ground accelerations. Some of theempirical data have also been studied interms of pseudo-relative spectral velocityand compared to strong-motion responsespectral prediction models established fornorthwestern Europe, again for lowfrequencies. Irrespective of these prediction models we emphasize, however, thatthe establishment of the data base itselfhas been an independent and importantpurpose of this study.