地震危险性分析发展与工程应用

系统阐述了地震危险性分析方法发展中三种典型概率模型的特点和实质,它们被分别称之谓：简单概率模型、分段泊松模型以及复合概率模型。在此基础上,提出了一种基于复合概率模型的地震影响场等效地震的计算方法,并给出了它们在一个重大工程场地地震安全性评价中的应用。     

基于地震安全性评价的广东省地震危险性分析

地震安全性评价是防震减灾的重要措施之一。地震危险性分析是地震安全性评价的基础。论文利用安全性评价基本理论和方法对广东省的地震危险性进行分析。以广东省历史上发生的中强地震目录作为研究基础,分析了广东省的地质构造特点和断裂特点,划分潜在地震源、确定地震活动性参数,建立了地震发生概率模型,通过计算得出地震带的综合影响。研究结果表明广东省内具有发生7.5、 6.5、 6.0、 5.5级级段地震的发震条件,其中沿海地区是广东省中、强地震的主要发震区域。     

交城断裂带北段最大潜在地震发震概率评估1

基于太原市目标区交城断裂带的定量研究,特别是对活动断裂上的古地震资料进行的系统、详细的分析与总结,建立了反映该断裂地震地质特点和运动学属性的复发模式和概率模型.引入震级-地表破裂长度、震级-震源破裂长度、震级-断层破裂面积以及震级-地震矩的经验关系进行震级估计,最后进行综合评估以确定交城断裂带北段潜在地震的最大震级.复发模式的建立兼顾了泊松和准周期两种模式,利用专家意见法组合相应的Poisson模型和BPT模型,计算活动断裂最大潜在地震的复发概率.结果表明,交城断裂带北段潜在地震最大震级为Ms7.2级,而未来50a、100a、200a发生Ms7.2级地震的概率分别为2.1％、4.0％和7.9％.     

地震活动时序谱的涨落统计特征与地震活跃期

为寻求地震活动演化的统计判据，本文采用多项式拟合法展示地震时序谱之涨落谱，以分维函数法判断最小邻间距（NNS）分布的Poisson性，然后采用MKS无参量法判别涨落谱之统计稳定性，确定NNS分布的转变区，具体研讨了四川、云南若干震区地震活动时序谱的涨落统计分布，发现地震活跃期到来时NNS分布表现出非Poisson化的特征。进一步通过改变和调节时序数据样本集之震级下限，并逐段前推进行统计计算的方式进一步验证结果的可靠性，客观地确定了这些震区地震活动时序涨落谱统计特征的转变期，使根据该统计法判断地震活跃期的方法论渐趋完善。     

中国地震烈度衰减的概率模型

本文在考虑地震烈度评定和预测的不确定性的基础上,提出建立烈度衰减概率模型的方法。根据我国东部和西部(大致以东经104为界)地区已发生的破坏性地震的等震线图,提供了两个地区地震烈度衰减的概率模型。最后,简要讨论了如何将这一模型应用于地震危险度评定的基本思想。      

甘肃南部地区强震危险性的统计分析

本文讨论了甘肃南部Ｍｓ６．０以上强震的危险性问题，给出了本地震区下次强震发生的地区、震级及危险时间的概率分布，这些结果是利用以下两种方法获得的：其一是历史上地震数据的定性资料分析，其二是利用非齐次马尔柯夫模型的定量计算。     

山东地区中小地震概率预测实践

基于时间相依的地震复发间隔混合概率模型,开展山东地区中、短期尺度上的中小地震的概率预测实践,1年的检验结果显示,3、4级中小地震基本发生在此前给出的地震危险性高概率区。研究认为,该方法在日常地震会商中应用效果较好,并有望为破坏性地震的概率预测提供参考。     

地震危险性分析中常见地震发生概率模型的合理性及局限性研究

自本世纪六十年代末工程地震危险性概率分析法产生以来,地震发生的概率模型在工程抗震中开始受到极大的重视。人们企图尽可能客观地刻画地震事件序列以降低主观认识所造成的不确定性,提出了许多概率模型,并对这些模型进行了极为广泛的研究和探讨。笔人为这些探讨中大多数研究者们限于艰计数特征,与时间特征的探讨和计算简化处理,很少同时从概率统计、地震事件资料特征和工程近似三者的合理笥角度去分析这些模型的合理性与局际性     

山东地区中小地震概率预测实践

基于时间相依的地震复发间隔混合概率模型,开展山东地区中、短期尺度上的中小地震的概率预测实践,1年的检验结果显示,3、4级中小地震基本发生在此前给出的地震危险性高概率区.研究认为,该方法在日常地震会商中应用效果较好,并有望为破坏性地震的概率预测提供参考.     

1988年云南澜沧—耿马大地震前地震活动平静的统计研究

本文根据大地震前包含异常活动时段的地震序列全过程可以看作是非齐次泊松过程的理论，详细研究了１９８８年１１月澜沧－耿马大地震前（１９８０．１－１９８８．１０）澜沧到腾冲地区地震活动在时间和空间上的变化过程。     

Binomial model on seismic risk analysis

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THE ACTIVITY FEATURES OF XIADIAN FAULT ZONE REVEALED BY RONGJIABAO TRENCH AND ITS PROBABILISTIC SEISMIC HAZARD EVALUATION

The time-dependent probabilistic seismic hazard assessment of the active faults based on the quantitative study of seismo-geology has the vital practical significance for the earthquake prevention and disaster management because it describes the seismic risk of active faults by the probability of an earthquake that increases with time and the predicted magnitude. The Poisson model used in the traditional probabilistic method contradicts with the activity characteristics of the fault, so it cannot be used directly to the potential earthquake risk evaluation of the active fault where the time elapsing from the last great earthquake is relatively short. That is to say, the present Poisson model might overestimate the potential earthquake risk of the Xiadian active fault zone in North China because the elapsed time after the historical M8 earthquake that occurred in 1679 is only 341a. Thus, based on paleoearthquake study and geomorphology survey in the field, as well as integrating the data provided by the previous scientists, this paper reveals two paleo-events occurring on the Xiadian active fault zone. The first event E₁ occurred in 1679 with magnitude M8 and ruptured the surface from Sanhe City of Hebei Province to Pinggu District of Beijing at about 341a BP, and the other happened in (4.89±0.68)ka BP(E₂). Our research also found that the average co-seismic displacement is ~(1.4±0.1)m, and the predicted maximum magnitude of the potential earthquake is 8.0. In addition, the probabilistic seismic hazard analysis of great earthquakes for Xiadian active fault zone in the forthcoming 30a is performed based on Poisson model, Brownian time passage model(BPT), stochastic characteristic-slip model(SCS)and NB model to describe time-dependent features of the fault rupture source and its characteristic behavior. The research shows that the probability of strong earthquake in the forthcoming 30a along the Xiadian active fault zone is lower than previously thought, and the seismic hazard level estimated by Poisson model might be overestimated. This result is also helpful for the scientific earthquake potential estimation and earthquake disaster protection of the Xiadian active fault zone, and for the discussion on how to better apply the time-dependent probabilistic methods to the earthquake potential evaluation of active faults in eastern China.     

Reliability analysis of three-dimensional dynamic slope stability and earthquake-induced permanent displacement

Different models were developed for evaluating the probabilistic three-dimensional (3D) stability analysis of earth slopes and embankments under earthquake loading using both the safety factor and the displacement criteria of slope failure. In the 3D analysis, the critical and total slope widths become two new and important parameters.The probabilistic models evaluate the probability of failure under seismic loading considering the different sources of uncertainties involved in the problem, i.e. uncertainties stemming from the discrepancies between laboratory-measured and in-situ values of shear strength parameters, randomness of earthquake occurrence, and earthquake-induced acceleration. The models also takes into consideration the spatial variabilities and correlations of soil properties.Five probabilistic models of earthquake-induced displacement were developed based on the non-exceedance of a limited value criterion. Moreover, a probabilistic model for dynamic slope stability analysis was developed based on 3D dynamic safety factor.These models are formulated and incorporated within a computer program (PTDDSSA).A sensitivity analysis was conducted on the different parameters involved in the developed models by applying those models to a well-known landslides (Selset landslide) under different levels of seismic hazard.The parametric study was conducted to evaluate the effect of different input parameters on the resulting critical failure width, 3D dynamic safety factor, earthquake-induced displacement and the probability of failure. Input parameters include: average values and coefficients of variations of water table, cohesion and angle of friction for effective stress analysis, scales of fluctuations in both distance and time, hypocentral distance, earthquake magnitude, earthquake strong shaking period, etc.The hypocentral distance and earthquake magnitude were found to have major influence on the earthquake-induced displacement, probability of failure (i.e. probability of allowable displacement exceedance), and dynamic 2D and 3D safety factors.     

An Inhomogeneous Distribution Model of Strong Earthquakes along Strike-Slip Active Fault Segments on the Chinese Continent and Its Implication in Engineering Seismology

Through the statistical analysis of earthquake distribution along 51 strike-slip active fault segments on the Chinese continent, we found that strong earthquake distribution along the seismogenic fault segments is inhomogeneons and the distribution probability density p (K) canbe stated as p(K)=1.1206e^3.947k^2 in which K = S/(L/2), S refers to the distance from earthquake epicenter to the center of a fault segment, L is the length of the fault segment. The above model can be utilized to modify the probability density of earthquake occurrence of the maximum magnitude interval in apotential earth quake source. Nevertheless, it is only suitable for thosepotential earthquake sources delineated along a single seismogenic fault. This inhomogeneons model has certain effects on seismic risk assessment, especially for those potential earthquake sources with higher earthquakerates of the maximum magnitude interval. In general, higher reoccurrence rate of the maximum magnitude interval and lower exceeding probability level may bring larger difference of the results in seismic risk analysis by adopting the inhomogeneons model, the PGA values increase inner the potential earthquake source, but reduce near the vicinity and out of the potential earthquake source. Taking the Tangyin potential earthquake source as an example, with exceeding probability of 10% and 2% in 50 years, the difference of the PGA values between inhomogeneons model and homogenous models can reach 12 %.     

A Review of Earthquake Statistics: Fault and Seismicity-Based Models, ETAS and BASS

There are two fundamentally different approaches to assessing the probabilistic risk of earthquake occurrence. The first is fault based. The statistical occurrence of earthquakes is determined for mapped faults. The applicable models are renewal models in that a tectonic loading of faults is included. The second approach is seismicity based. The risk of future earthquakes is based on the past seismicity in the region. These are also known as cluster models. An example of a cluster model is the epidemic type aftershock sequence (ETAS) model. In this paper we discuss an alternative branching aftershock sequence (BASS) model. In the BASS model an initial, or seed, earthquake is specified. The subsequent earthquakes are obtained from statistical distributions of magnitude, time, and location. The magnitude scaling is based on a combination of the Gutenberg-Richter scaling relation and the modified Båth’s law for the scaling relation of aftershock magnitudes relative to the magnitude of the main earthquake. Omori’s law specifies the distribution of earthquake times, and a modified form of Omori’s law specifies the distribution of earthquake locations. Unlike the ETAS model, the BASS model is fully self-similar, and is not sensitive to the low magnitude cutoff.     

Statistical evaluation and probabilistic modeling of aftershock sequences of Iranian plateau

The present research focuses on the statistical evaluation of Iranian plateau aftershocks from an engineering perspective and presents probabilistic models applicable for generating random earthquake scenarios. Accordingly, a comprehensive earthquake data catalog including the period from 1964 to 2016 is prepared. Data are declustered into 37 separate mainshock-aftershock sequences by considering the completeness moment magnitude of the database. The well-known modified Omori occurrence rate formula is adopted to determine the recurrence time of the events, considering the effect of secondary aftershocks. In addition to computing the probability density functions of the parameters of the Omori formula, the joint probability distribution of the aftershock occurrence versus magnitude and occurrence time is obtained for modeling their magnitude sequences. The obtained results are applicable for producing randomly generated mainshock-aftershock scenarios.     

A probabilistic framework for quantification of aftershock ground‐motion hazard in California: Methodology and parametric study

This paper presents a proposed method of aftershock probabilistic seismic hazard analysis (APSHA) similar to conventional ‘mainshock’ PSHA in that it estimates the likelihoods of ground motion intensity (in terms of peak ground accelerations, spectral accelerations or other ground motion intensity measures) due to aftershocks following a mainshock occurrence. This proposed methodology differs from the conventional mainshock PSHA in that mainshock occurrence rates remain constant for a conventional (homogeneous Poisson) earthquake occurrence model, whereas aftershock occurrence rates decrease with increased elapsed time from the initial occurrence of the mainshock. In addition, the aftershock ground motion hazard at a site depends on the magnitude and location of the causative mainshock, and the location of aftershocks is limited to an aftershock zone, which is also dependent on the location and magnitude of the initial mainshock. APSHA is useful for post‐earthquake safety evaluation where there is a need to quantify the rates of occurrence of ground motions caused by aftershocks following the initial rupture. This knowledge will permit, for example, more informed decisions to be made for building tagging and entry of damaged buildings for rescue, repair or normal occupancy. Copyright © 2008 John Wiley & Sons, Ltd.     

滇西南地区五年内大震形势预测

本文采用极值理论、线性预测和最大熵谱分析三种不同的概率统计预报方法，从不同的角度对滇西南地区地震活动进行研究，得到滇西南５年内将有１次６．５－６．９级地震活动，１９９２年有６．０－６．４级发震可能的中短期预报结果。     

Theoretical discussion and Monte-Carlo simulations for a Negative Binomial process paradox

The idea of an over-threshold sampling is to retain all the events of a time-series exceeding a given threshold. The probabilistic analysis implies estimating two statistical models, one describing the occurrence of the events (date of the events), the other describing their magnitude (value of the local maximum). These two models are then combined to obtain the distribution of the annual maxima. A well-known result of a Poisson process is that waiting time, defined as the duration between two successive events exceeding the threshold, is exponentially distributed. The assertion that the waiting time of a Negative Binomial process is also exponentially distributed seems to be in obvious contradiction with the Poisson process properties. A theoretical discussion and Monte-Carlo simulations are presented to solve this apparent paradox.