Potential rupture surface model and its ap-plication on probabilistic seismic hazard analysis

Potential sources are simplified as point sources or linear sources in current probabilistic seismic hazard analysis （PSHA） methods. Focus size of large earthquakes is considerable, and fault rupture attitudes may have great influence upon the seismic hazard of a site which is near the source. Under this circumstance, it is unreasonable to use the simplified potential source models in the PSHA, so a potential rupture surface model is proposed in this paper. Adopting this model, we analyze the seismic hazard near the Chelungpu fault that generated the Chi-Chi （Jiji） earthquake with magnitude 7.6 and the following conclusions are reached. （1） This model is reasonable on the base of focal mechanism, especially for sites near potential earthquakes with large magnitude; （2） The attitudes of potential rupture surfaces have great influence on the results of probabilistic seismic hazard analysis and seismic zoning.

Probabilistic seismic landslide hazard assessment: a case study in Tianshui, Northwest China

Probabilistic analysis in the field of seismic landslide hazard assessment is often based on an estimate of uncertainties of geological, geotechnical,geomorphological and seismological parameters.However, real situations are very complex and thus uncertainties of some parameters such as water content conditions and critical displacement are difficult to describe with accurate mathematical models. In this study, we present a probabilistic methodology based on the probabilistic seismic hazard analysis method and the Newmark’s displacement model. The Tianshui seismic zone(105°00′-106°00′ E, 34°20′-34°40′ N) in the northeastern Tibetan Plateau were used as an example. Arias intensity with three standard probabilities of exceedance(63%, 10%, and 2% in 50 years) in accordance with building design provisions were used to compute Newmark displacements by incorporating the effects of topographic amplification.Probable scenarios of water content condition were considered and three water content conditions(dry,wet and saturated) were adopted to simulate the effect of pore-water on slope. The influence of 5 cm and 10 cm critical displacements were investigated in order to analyze the sensitivity of critical displacement to the probabilities of earthquake-induced landslide occurrence. The results show that water content in particular, have a great influence on the distribution of high seismic landslide hazard areas. Generally, the dry coverage analysis represents a lower bound for susceptibility and hazard assessment, and the saturated coverage analysis represents an upper bound to some extent. Moreover, high seismic landslide hazard areas are also influenced by the critical displacements. The slope failure probabilities during future earthquakes with critical displacements of 5 cm can increase by a factor of 1.2 to 2.3 as compared to that of 10 cm. It suggests that more efforts are required in order to obtain reasonable threshold values for slope failure. Considering the probable scenarios of water content condition which is varied with seasons, seismic landslide hazard assessments are carried out for frequent, occasional and rare earthquake occurrences in the Tianshui region, which can provide a valuable reference for landslide hazard management and infrastructure design in mountainous seismic zones.

Seismic hazard analysis for central-western Argentina

In this study, we present a PSHA（Probabilistic Seismic Hazard Analysis） for the city of San Juan, which is located in the central-western region of Argentina（30°S-35.5°S; 66.5°W-71°W）. In addition to crustal earthquakes provided by catalogues, recent paleoseismological and neotectonic investigations have permitted to consider events which occurred during the last 400 years.Four seismogenic sources that could cause damages to the studied site corresponding to Precordillera,Western Sierras Pampeanas, Basement of the Cuyana Basin and Cordillera Principal were identified.Based on the evaluation of the contribution of these sources,maximum moment magnitudes above 7.5（Mw） are expected.High values of SA（spectral acceleration）（0.2 and 1 s periods） and PGA（peak ground acceleration） were found in the city of San Juan, which suggests that it is located in a zone of high seismic hazard.Finally, the obtained SA spectra were compared with the seismic-resistant construction standards of Argentina INPRES-CIRSOC 103 [1]. Results suggest that for the city of San Juan and for a return period of475 years, it covers the seismic requirements of the structures.

Influence of uncertainty in delimitation of seismic statistical zone on results of PSHA

The seismic hazard of research area is evaluated by probabilistic analysis method for three different seismic statis-tical zone scenarios. The influence of uncertainty in seismic statistical zone delimiting on the evaluation result is discussed too. It can be seen that for those local sites along zone's border or within areas with vast change of upper bound magnitude among different scenarios the influence on seismic hazard result should not be neglected.

Seismic hazard assessment of Tehran,Iran with emphasis on near-fault rupture directivity effects

Many destructive earthquakes happened in Tehran, Iran in the last centuries. The existence of active faults like the North Tehran is the main cause of seismicity in this city. According to past investigations, it is estimated that in the scenario of activation of the North Tehran fault, many structures in Tehran will collapse. Therefore, it is necessary to incorporate the near field rupture directivity effects of this fault into the seismic hazard assessment of important sites in Tehran. In this study, using calculations coded in MATLAB, Probabilistic Seismic Hazard Analysis （PSHA） is conducted for an important site in Tehran. Following that, deaggregation technique is performed on PSHA and the contribution of seis- mic scenarios to hazard is obtained in the range of distance and magnitude. After identifying the North Tehran fault as the most hazardous source affecting the site in 10000-year return period, rupture directivity effects of this fault is incorporated into the seismic hazard assessment using Somerville et al. （1997） model with broadband approach and Shahi and Baker （2011） model with narrowband approach. The results show that the narrowband approach caused a 27% increase in the peak of response spectrum in 10000-year return period compared with the conventional PSHA. Therefore, it is necessary to incorporate the near fault rupture directivity effects into the higher levels of seismic hazard assessment attributed to important sites.

A practical framework for performance-based reliability analysis of subway stations based on a faultestructure combined system

It is necessary to pay particular attention to the uncertainties that exist in an engineering problem to reduce the risk of seismic damage of infrastructures against natural hazards.Moreover,certain structural performance levels should be satisfied during strong earthquakes.However,these performance levels have been only well described for aboveground structures.This study investigates the main uncertainties involved in the performance-based seismic analysis of a multi-story subway station.More than 100 pulse-like and no pulse-like ground motions have been selected.In this regard,an effective framework is presented,based on a set of nonlinear static and dynamic analyses performed by OpenSees code.The probabilistic seismic demand models for computing the free-field shear strain of soil and racking ratio of structure are proposed.These models result in less variability compared with existing relations,and make it possible to evaluate a wider range of uncertainties through reliability analysis in Rtx software using the Monte Carlo sampling method.This work is performed for three different structural performance levels(denoted as PL1ePL3).It is demonstrated that the error terms related to the magnitude and location of earthquake excitations and also the corresponding attenuation relationships have been the most important parameters.Therefore,using a faultestructure model would be inevitable for the reliability analysis of subway stations.It is found that the higher performance level(i.e.PL3)has more sensitivity to random variables than the others.In this condition,the pulse-like ground motions have a major contribution to the vulnerability of subway stations.

基于PSHA的核电厂近断层抗震设计谱构建方法

核电是一种高效、清洁的能源,随着核电厂未来向内陆区的发展,其可能会遭遇到近断层地震动的影响,但是目前我国核电厂抗震规范设计谱并未考虑近断层地震动。该文首先基于大量实际近断层脉冲型和相应无脉冲地震动记录,研究了脉冲对反应谱的放大效应,建立了修正的近断层脉冲放大系数模型;继而将地震动脉冲效应引入到近断层概率地震危险性分析中,并基于设定断层模型,给出了不同场地类型的一致危险性反应谱;通过对地震危险性结果的分解,分析了对场地最危险震级和距离,并将结果引入地震动衰减关系中得到设计谱,最后通过近断层脉冲放大系数对设计谱进行修正,得到考虑近断层脉冲效应的核电厂抗震设计谱。通过研究,建立了一种基于概率地震危险性分析框架下,考虑近断层脉冲型地震动的工程场地核电厂抗震设计谱的构建方法。

基于广义条件强度参数的水平和竖向地震动联合选取研究

为了合理地考虑竖向地震作用和实现水平和竖向地震动的联合选取,提出了基于广义条件强度参数的水平和竖向地震动联合选取方法:扩展广义条件强度参数的基本理论,提出水平和竖向地震动广义条件强度参数分布的构建方法,并与“无条件分布”对比,提出基于广义条件强度参数的水平和竖向地震动联合选取方法的基本理论,给出以水平强度参数作为条件的实际算例,利用现有水平-水平、水平-竖向强度参数相关系数模型构建水平和竖向地震动广义条件强度参数目标分布,对目标地震动数据库进行联合选取,将选取结果与传统选取方法进行对比,说明该方法的合理性。结果表明:构建出的水平和竖向广义条件强度参数分布与“无条件”分布之间存在一定差异;水平和竖向地震动联合选取结果与目标理论分布匹配良好;与仅考虑水平向广义条件强度参数地震动选取方法相比,联合选取方法能够考虑竖向地震动特性,并且不会对水平向造成影响,提出的水平和竖向地震动联合选取方法能够更加合理地、全面地考虑水平和竖向地震动特性,为工程结构在水平和竖向地震动作用下的抗震性能研究提供地震动输入基础。

基于PSHA计算方法的豫南地区桥梁设计地震动参数研究

根据我国路桥抗震设计规范,桥梁工程设计地震动参数以重现期T=475年和2 000年的概率水准确定,地震危险性概率分析方法(PSHA)常用于计算此类工程的基岩峰值加速度(PGA)。以豫南地区某桥梁为研究对象,对地震动参数进行概率危险性计算。结果表明:该桥在重现期T=100、475和2 000年概率水准下的基岩峰值加速度分别为12.7、31.6和72.5 gal;对应水平向设计地震动峰值加速度分别为19.3、45.7和98.7 gal。研究区位于第5代中国地震动参数区划图0.05 g区,建议设计基本峰值加速度为50 gal,其与计算结果较为一致。

Seismic Hazard Analysis of China's Mainland Based on a New Seismicity Model

Based on the seismic source model in the Fifth Generation Seismic Ground Motion Parameters Zonation Map of China(FGSGMPZMC),a new seismic fault model,the new zonation of seismic risk areas(SRAs),and the estimation of seismicity rates for 2021-2030,this study constructed a new time-dependent seismic source model of China’s mainland,and used the probabilistic seismic hazard analysis method to calculate seismic hazard by selecting the ground motion models(GMMs)suitable for seismic sources in China.It also provided the probabilities of China’s mainland being affected by earthquakes of modified Mercalli intensity(MMI)Ⅵ,Ⅶ,Ⅷ,Ⅸ,and≥Ⅹin 2021-2030.The spatial pattern of seismic hazards presented in this article is similar to the pattern of the FGSGMPZMC,but shows more details.The seismic hazards in this study are higher than those in the FGSGMPZMC in the SRAs and fault zones that can produce large earthquakes.This indicates that the seismic source model construction in this study is scientific and reasonable.There are certain similarities between the results in this study and those of Rong et al.(2020)and Feng et al.(2020),but also disparities for specific sites due to differences in seismic source models,seismicity parameters,and GMMs.The results of seismic hazard may serve as parameter input for future seismic risk assessments.The hazard results can also be used as a basis for the formulation of earthquake prevention and mitigation policies for China’s mainland.

Discussion about the relationship between seismic belt and seismic statistical zone

This paper makes a summary of status of delimitation of seismic zones and belts of China firstly in aspects of studying history, purpose, usage, delimiting principles, various presenting forms and main specialties. Then the viewpoints are emphasized, making geographical divisions by seismicity is just the most important purpose of delimiting seismic belts and the concept of seismic belt is also quite different from that of seismic statistical zone used in CPSHA method. The concept of seismic statistical zone and its history of evolvement are introduced too. Large differences between these rwo concepts exist separately in their statistical property, actual meaning, gradation, required scale, and property of refusing to overlap each other, aim and usage of delimitation. But in current engineering practice, these two concepts are confused. On the one hand, it causes no fit theory for delimiting seismic statistical zone in PSHA to be set up; on the other hand, researches about delimitation of seismic belts with purposes of seismicity zoning and studying on structural environment, mechanism of earthquake generating also pause to go ahead. Major conclusions are given in the end of this paper, that seismic statistical zone bases on the result of seismic belt delimiting, it only arises in and can be used in the especial PSHA method of China with considering spatially and temporally inhomogeneous seismic activities, and its concept should be clearly differentiated from the concept of seismic belt.

Simplified Full Dynamic Analysis of a Railway Tunnel in Ethiopia

This paper presents an effective means of analyzing the safety of a tunnel under dynamic loading in areas with seismic records. A particular case of the railway tunnel in the earthquake-prone regions of the escarpment seismic zone of Ethiopia was the specific focus area of the research. Probabilistic seismic hazard analysis (PSHA) and deaggregation have been conducted to determine the design earthquake required as an input for the dynamic analysis. The PSHA performed by considering the operating design earthquake with conservative assumptions of the local geological features resulted in a peak ground acceleration of 0.36. Two pairs of design earthquake have been obtained from the deaggregation process, which were used to filter acceleration time histories for the selected design earthquake from the ground motion database of Pacific Earthquake Engineering Research Center. Finally, full dynamic analyses of the tunnel have been performed by applying the scaled acceleration time histories corresponding to the structure in the specific site. It was demonstrated how to prove the stability of the tunnel located in difficult ground conditions by performing plane strain analyses with the possible minimum computational efforts.

融合三维断层源和二维潜在震源区的随机抽样概率地震危险性分析算法研发

文中采用蒙特卡罗随机抽样方法,研发了一套融合传统二维潜在震源区(下文简称“潜源”)和三维断层源的概率地震危险性算法。该算法不仅适用于传统的区域面源,同时还能考虑地震的破裂尺度并兼容三维断层源的概率地震危险性计算。文中研发的算法可高效实现断层源地震事件集的三维模拟,并将地震破裂尺度引入到概率地震危险性计算中,显著提高了近断层地区地震危险性计算的合理性。为了提高程序的执行效率,算法采用预先在平面潜源中充填网格点的方式随机模拟地震事件在潜源内的均匀分布。对于椭圆衰减的地震危险性计算,算法采用了预先构建不同震级、距离及不同场点与潜源长轴方向夹角下的短轴距的三维矩阵,通过查表和插值方式直接获得相应场点的短轴距,避免了循环迭代逼近短轴距计算效率低下的问题。分别利用五代图的概率地震危险性程序和文中研发的算法,计算了湖南长-株-潭(长沙-株洲-湘潭)城市群所处的中强地震活动环境的区域地震危险性以及近断层源的常德、株洲2个场点在不同概率水平下(重现期分别为50a、 475a和2 475a)的地震危险性。比较研究表明,五代图的程序低估了三维断层源附近的地震危险性,且随着概率水平的降低,低估的程度越来越高。最后,利用太平洋地震工程中心(Pacific Earthquake Engineering Research Center, PEER)验证概率地震危险性程序的算例(数据集1案例10)验证了文中算法的可靠性。

中国大陆基于BPT模型的时间相依地震危险性分析

概率地震危险性分析是地震区划图编制、重大工程场地地震安全性评估以及地震风险管理等领域的重要依据,地震时间活动性模型则是概率地震危险性分析的主要理论基础.本研究中基于布朗过程时间(Brownian passage time(BPT))模型,计算了不同情况下中国大陆特征地震震源区时间相依的地震发生率,采用概率地震危险性计算方法,选择合适的地震动模型,评估了中国大陆地区时间相依的地震危险性,并与基于泊松模型的地震危险性做了比较.结果表明,时间相依的地震活动特征对概率地震危险性具有显著影响,在那些地震离逝时间相对较长,离逝率较大(大于1)的震源区,时间相依的地震危险性结果相较于基于泊松模型的地震危险性结果显著增大,增大幅度最大可达50%以上.相反,在那些刚发生地震不久,地震离逝时间较短的震源区,时间相依的地震危险性结果相较于泊松模型显著减小,减小幅度最大可达50%左右.地震复发间隔的变异系数对地震危险性结果也有显著影响,选择合适的变异系数对时间相依地震危险性分析十分重要,后续应该加强对地震复发间隔不确定性的研究.研究结果还表明,时间相依的地震活动特征对不同超越概率下的地震危险性结果的影响是一致的,不随超越概率水平的变化而变化.本文研究结果对地震风险管理、地震保险以及相关防震减灾政策的制定等方面具有重要的应用价值.

山西省地震危险性计算与制图

地震危险性计算是山西省地震灾害风险普查工程的基础工作内容之一,文章基于概率地震危险性分析方法对山西省地震危险性进行计算。简述地震危险性计算的原理、数据处理与图件制作流程,将计算结果与第五代地震区划图潜源模型的计算结果进行对比分析,结果表明基于风险普查潜源模型的晋西北、晋东南山区计算结果稍有增大;汾渭断陷带内的计算结果略有降低,但差距很小,可认为结果基本一致。同时对产生差异的原因进行初步分析。

基于广义条件谱的某核电厂安全壳多元地震易损性分析

本文基于我国场地广义条件谱,对我国某核电厂安全壳进行了多元地震易损性研究。给出了我国场地向量型概率地震危险性分析与分解理论,提出了我国场地广义条件谱生成方法和步骤,生成了我国算例厂址广义条件谱,选取了场地相关地震动记录,基于多元地震易损性分析方法,生成了算例厂址安全壳结构多元地震易损性曲面。分析结果表明:核电厂安全壳地震易损性分析结果对多个地震动强度参数都较为敏感,基于增量动力分析等解析地震易损性方法,能够得到更为精细化易损性分析结果。考虑多个地震动强度参数的地震易损性分析结果,可为更为精细化核电厂地震风险提供研究基础。

基于地震灾害风险普查的概率地震危险性分析--以从化区为例

为了厘定概率地震危险性分析方法在地震灾害风险调查与评估工作中的适用性,针对从化区,以中国地震动参数区划图(GB18306-2015)提供的信息为依托,给出其周边的潜在震源区划分、地震活动性参数及地震动衰减关系,基于地震灾害风险普查资料,利用概率地震危险性分析(CPSHA)方法对其进行地震危险性分析。确定了对从化区地震动峰值加速度起主要贡献的几个潜在震源区及贡献值,计算了从化区未来50年超越概率63%、10%、2%和100年超越概率1%的PGA分布,基于地理信息系统(Geographic Information System,GIS)平台绘制了从化区4种概率下的基岩及地表地震动峰值加速度值分布图。结果表明:背景源(17)、广州、佛冈、河源、担杆岛、珠海和东莞潜在震源区对计算区内PGA起主要贡献;区内50年超越概率10%地表地震动分布中间高两边低。

双变量与条件地震重现期理论及应用

地震重现期是地震工程领域重要概念之一,已被广泛应用于结构抗震设计和评估中。但目前地震重现期概念通常指的是单个地震动强度参数的重现时间,无法体现地震动强度参数联合和条件发生信息。该文提出了双变量地震重现期与条件地震重现期概念,给出了双变量地震重现期与条件地震重现期基本理论,针对算例厂址,进行了向量型和条件型概率地震危险性分析,生成了双变量与条件地震重现期,将双变量和条件地震重现期概念应用于向量型和条件型场地相关谱生成研究中,给出了双变量和条件地震重现期理论和应用研究展望。结果表明:双变量地震重现期与条件地震重现期在单变量地震重现期基础上,包含了强度参数间相关性信息;双变量地震重现期大于或等于两个参数各自单变量地震重现期大小,条件地震重现期是双变量地震重现期和单变量地震重现期之比;双变量重现期曲面和等高线对于不同的强度参数组合结果不同,通常与两个参数间相关性系数和强度参数危险性程度两个因素相关;条件强度参数越小,相同大小预测强度参数的条件地震重现期越大。

Mapping Seismic Hazard for Canadian Sites Using Spatially Smoothed Seismicity Model

The estimated seismic hazard based on the delineated seismic source model is used as the basis to assign the seismic design loads in Canadian structural design codes.An alternative for the estimation is based on a spatially smoothed source model.However,a quantification of differences in the Canadian seismic hazard maps(CanSHMs)obtained based on the delineated seismic source model and spatially smoothed model is unavailable.The quantification is valuable to identify epistemic uncertainty in the estimated seismic hazard and the degree of uncertainty in the CanSHMs.In the present study,we developed seismic source models using spatial smoothing and historical earthquake catalogue.We quantified the differences in the estimated Canadian seismic hazard by considering the delineated source model and spatially smoothed source models.For the development of the spatially smoothed seismic source models,we considered spatial kernel smoothing techniques with or without adaptive bandwidth.The results indicate that the use of the delineated seismic source model could lead to under or over-estimation of the seismic hazard as compared to those estimated based on spatially smoothed seismic source models.This suggests that an epistemic uncertainty caused by the seismic source models should be considered to map the seismic hazard.

基于改进云图法的结构概率地震需求分析

概率地震需求分析是美国太平洋地震工程研究中心(Pacific Earthquake Engineering ResearchCenter,PEER)提出的新一代"性能化地震工程(Performance-Based Earthquake Engineering,PBEE)"理论框架的重要一环。传统的概率地震需求分析方法称为"云图法",这种方法针对确定性结构进行一系列地震动作用下的非线性动力分析,从而得到地震动强度参数与结构地震需求的"云图"。然而,传统的云图法只能考虑地震动的不确定性,而无法考虑结构的不确定性。为此,结合拉丁超立方体抽样技术,提出一种能综合考虑地震动不确定性和结构不确定性的改进云图法,并将传统的概率地震需求分析内容拓展为概率地震需求模型、概率地震需求易损性分析、概率地震需求危险性分析三个层次。以一榀五层三跨钢筋混凝土框架结构为例,分别采用传统云图法和改进云图法对其进行概率地震需求分析,得到了该结构的概率地震需求模型、地震需求易损性曲线和地震需求危险性曲线。分析结果表明:提出的方法可以有效地考虑地震动与结构的不确定性,避免不考虑结构的不确定性而低估结构的地震风险性。