Apparent stress scaling and statistical trends

Statistical relations between different earthquake parameters, such as M₀ (seismic moment), E_S (seismic energy), τ_a (apparent stress), A (rupture area), g (average slip acceleration), are investigated. For this purpose, a kinematic earthquake model representing averaged earthquake rupture process is formulated. The model implies a scaling relationship for τ_a as a function of three other parameters, related to kinematic (M₀), geometric (A) and material (g) source characteristics, which, according to the model, can change independently. This scaling relation is used to explain statistical trends that characterize different earthquake data sets (including micro-, small, moderate and large events) plotted in the log τ_a − log M₀ space, and to determine the area in this space, where typical earthquakes occur. The scaling relationship is interpreted in terms of the apparent stress minimum (i.e., the most uniform among the possible earthquake rupture patterns). It is concluded that, although the apparent stress increases on an average with increasing seismic moment, small and large earthquakes are essentially similar.     

糯扎渡水库地区地震活动和震源参数研究

本文利用糯扎渡水库台网和景洪水库台网记录的地震波形反演震源谱, 计算了2011年1月至2014年3月糯扎渡水库附近143个1.0级以上地震的震源参数。 分析研究发现: ① 糯扎渡水库蓄水后, 库区内地震活动明显增强, 尤其是在水位上升3~4个月后; ② 水库开始蓄水后, 库区内地震震源深度变浅, 一段时间以后则与库区外的差别减小; ③ 地震拐角频率随地震矩增大而减小, 且蓄水以后, 库区内地震拐角频率的对数与地震矩的对数线性关系更明显; ④ 应力降、 视应力与地震矩存在正相关关系, 且相同地震矩时库区内的应力降与视应力低于蓄水前和库区外的地震应力降与视应力值; ⑤ 蓄水对库区内地震的影响可延伸至库底10 km深度处, 且在3~6 km深度内影响最大、 库区内外地震频度与视应力均值差异最显著。     

柯坪块体震源介质参数测定

应用2011年1月-2015年4月柯坪块体及周边数字地震台站（38°-42.5°N,75°-80.5°E）记录的3.0 ≤ M ≤ 5.0地震事件,结合柯坪块体介质品质因子和各台站场地响应,计算各地震应力降、地震矩、震源破裂半径、拐角频率等新震源参数,并研究各背景值变化特征及彼此间对应关系。结果表明：柯坪块体地区地震震级与地震矩、矩震级、震源尺度之间表现为较好的正相关性,与地震拐角频率之间呈负相关。地震矩与震源破裂尺度整体呈正相关,但当震源破裂尺度较小时,地震矩变化不大,当震源破裂尺度大于250 m时,地震矩随震源破裂尺度的增大变化较快。由柯坪块体应力降时间分布特征分析可知,研究区具有地震前应力降呈现高值异常、震后缓慢恢复低值的演化过程。     

由宽频带辐射能量目录和地震矩目录给出的视应力及其地震学意义

对NEIC宽频带地震辐射能量目录和哈佛矩心矩张量（CMT）目录的比较，给出了关于视应力的一些可能是有意义的结果，尽管目前的结果误差仍很大，可靠性也是有限的，但这种比较所提供的线索却颇值得注意，视应力的计算给出关于地震断层面上非线性动摩擦函数的线索，能量／地震矩之比随地震大小的变化表明，在BK模型框架下，对于走滑型地城,依赖于滑动速度的摩擦似乎占主要地位，而对于非走滑型地震，依赖于位移的摩擦似乎占主要地位，主震和余震的能量／地震矩之比的比较表明，对于走滑型地震，余震的视应力平均地说来低于主震的视应力，而对于非直滑型地震，余震的视应力即有高于主震的也有低于主震的，这对于障碍体和凹凸模式的讨论及模型中地震破裂停止条件的设置可能具有一定的参考意义。     

2013年Ms7.0芦山地震的动力学破裂过程及其影响因素

2013年4月20日在四川芦山发生了Ms7.0地震,震源运动学反演结果给出了此次地震的破裂过程和同震滑动分布.为了更好地理解造成芦山地震破裂过程的力学原因,本文综合野外地质调查、余震定位、深地震反射剖面等结果,构建芦山地震铲型断层模型,以震源运动学反演结果为约束,将震源参数与震源附近的构造应力场结合,建立断层面上滑动量...     

The Precursory Significance of Cumulative Slip of Repeating Earthquake Sequences Prior to Moderately Strong Earthquakes— A Case Study of Four Remarkable Earthquake Sequences of HaichengXiuyan

The Haicheng-Xiuyan region is an earthquake-prone area in Liaoning Province where earthquake sequences frequently occur and is regarded as the regional seismic window. In this area we found many earthquake events with the highest waveform similarity in the records of the same station from some remarkable seismic sequences,namely repeating earthquake sequences. In principle,rupture areas of the repeating events overlap with each other and are most closely located. Therefore these events may reflect the seismic process near the earthquake fault. In this paper, we identified four remarkable earthquake sequences of Haicheng-Xiuyan by waveform cross-correlation. The result shows that the cumulative slip of repeating earthquakes is related to moderately strong earthquakes,among which the Xiuyan M_S5. 4 foreshock sequence has the strongest and most apparent pre-shock accelerating-like slip behavior.     

Recipe for Predicting Strong Ground Motion from Crustal Earthquake Scenarios

We developed a recipe for predicting strong ground motions based on a characterization of the source model for future crustal earthquakes. From recent developments of waveform inversion of strong motion data used to estimate the rupture process, we have inferred that strong ground motion is primarily related to the slip heterogeneity inside the source rather than average slip in the entire rupture area. Asperities are characterized as regions that have large slip relative to the average slip on the rupture area. The asperity areas, as well as the total rupture area, scale with seismic moment. We determined that the areas of strong motion generation approximately coincide with the asperity areas. Based on the scaling relationships, the deductive source model for the prediction of strong ground motions is characterized by three kinds of parameters: outer, inner, and extra fault parameters. The outer fault parameters are defined as entire rupture area and total seismic moment. The inner fault parameters are defined as slip heterogeneity inside the source, area of asperities, and stress drop on each asperity based on the multiple-asperity model. The pattern of rupture nucleation and termination are the extra fault parameters that are related to geomorphology of active faults. We have examined the validity of the earthquake sources constructed by our recipe by comparing simulated and observed ground motions from recent inland crustal earthquakes, such as the 1995 Kobe and 2005 Fukuoka earthquakes.     

2013年岷漳地震和2014年景谷地震的能矩比对比研究

2013年岷漳地震和2014年景谷地震两个地震的矩震级均为M_W6.1,但相同等级烈度区域的面积差异显著,前者均明显大于后者.地面震动的强烈程度与震源破裂过程中辐射的地震波高频成分密切相关,作者系统地测定与研究了这两个地震的震源谱和反映其震源特征的能矩比等震源参量.结果表明,虽然岷漳地震和景谷地震释放的地震矩基本相同,分别为1.6×10¹⁸Nm和1.8×10¹⁸Nm,而且前者还比后者略小些,但其释放的地震波辐射能却差异显著,分别为1.3×10¹⁴J和0.6×10¹⁴J;因而前者的能矩比（8.1×10^-5）是后者能矩比（3.3×10^-5）的大约2.5倍.相应地,岷漳地震的视应力和应力降也都明显大于景谷地震的视应力和应力降.此外,这两个地震震源谱结果均显示出其高频趋势均按角频率ω的-2幂次衰减,符合"ω²模式";采用理论震源谱公式计算结果分别约占实际结果的54%和50%,两个地震的地震波辐射能解析解之间的差异依然约2.3倍.震源破裂特征的显著差异导致岷漳地震单位地震矩释放的地震波辐射能更多,即岷漳地震能矩比更大,是导致这两个矩震级均为M_W6.1地震的地震烈度差异显著的一个重要原因.     

Slip Distribution of the 1963 Great Kurile Earthquake Estimated from Tsunami Waveforms

The 1963 great Kurile earthquake was an underthrust earthquake occurred in the Kurile?CKamchatka subduction zone. The slip distribution of the 1963 earthquake was estimated using 21 tsunami waveforms recorded at tide gauges along the Pacific and Okhotsk Sea coasts. The extended rupture area was divided into 24 subfaults, and the slip on each subfault was determined by the tsunami waveform inversion. The result shows that the largest slip amount of 2.8?m was found at the shallow part and intermediate depth of the rupture area. Large slip amounts were found at the shallow part of the rupture area. The total seismic moment was estimated to be 3.9?×?10²¹?Nm (M_w 8.3). The 2006 Kurile earthquake occurred right next to the location of the 1963 earthquake, and no seismic gap exists between the source areas of the 1963 and 2006 earthquakes.     

河北文安MS5.1地震前首都圈及邻近地区震源动力学参数时空变化特征

Source spectra,corner frequency and zero frequency amplitudes in near-source conditions were measured using waveform data from 989 earthquakes with magnitudes larger than ML2.0 observed by the Beijing Digital Telemetry Seismic Network in the Capital Circle Region of China and its surrounding areas from January 2002 to June 2006 by the Brune model.Relevant formulas that were used for the calculation of dynamic source parameters include rupture radius,seismic moment,seismic energy,stress drop,and apparent stress.Scaling relations and characteristics of temporal-spatial variations of these dynamic parameters before the MS5.1 Wenan earthquake in Hebei Province that occurred on July 20,2006 were analyzed.Results show that apparent stress,stress drop,and the ratio of seismic energy to the rupture radius had relatively high values in some areas before the Wenan earthquake.These high-value concentration areas were mainly distributed in the North China Plain seismic zone.As is seen from the time curves,parameters,such as apparent stress,stress drop,and ratio of seismic energy to rupture radius underwent significant ascending processes before the Wenan earthquake,but the variation in the corner frequency showed a descending trend.This result might be related to the enhancement of stress in the North China Plain seismic zone before the earthquake.     

2021年美国阿拉斯加半岛MW8.2地震震源特征分析

采用远场地震波资料和有限断层反演方法获得2021年7月29日6时15分(UTC)美国阿拉斯加州以南海域MW8.2地震的震源破裂过程模型,探讨此次地震发生的动力学背景。破裂过程反演的结果显示这次地震的滑动量分布比较集中,破裂长度约为160km,地震主体破裂发生在20～40km深度范围内,破裂由深部向浅部发展,表明此次地震释放了俯冲带浅部的应变能,破裂持续时间近120s,破裂面上最大滑移量达5m。此外,主震破裂区域中的余震分布较小,大部分余震发生在主震南部,出现这种现象表明震源区的破裂较为彻底并触发了俯冲带浅部位置的地震,本次地震的有限断层反演结果和余震分布均显示破裂向东发展,但未破裂至震中以西的舒马金空区,表明舒马金空区东部的地震危险性仍然存在。     

Characterization of the Heterogeneous Source Model of Intraslab Earthquakes Toward Strong Ground Motion Prediction

We characterize the heterogeneous source slip model of intraslab earthquakes to compare source scaling properties with those of inland crustal and subduction-zone plate-boundary earthquakes. We extracted rupture area (S), total area of asperity (S _a), average slip (D) and average slip on asperity (D _a) of eleven intraslab earthquakes following the procedure proposed by Somerville et al. (Seism Res Lett 70:59?C80, 1999) and proposed the empirical scaling relationship formula of S, S _a, and D for intraslab earthquakes. Under the same seismic moment, an intraslab earthquake has a smaller rupture area and total area of asperity, and smaller average slip than an inland crustal earthquake. The area ratio of asperity area and total rupture area of intraslab earthquakes are similar to those of inland crustal earthquakes. The strong motion generation area (SMGA) scaling of intraslab earthquakes appears self-similar, and those results support the idea the characterized source model of intraslab earthquakes can be modeled in a manner similar to that of inland crustal earthquakes.     

安宁河-则木河断裂带地震视应力研究

利用四川和云南数字遥测地震台网的数字地震记录资料。研究了包括地震视应力在内的震源参数。首先对资料进行预处理,然后计算地动位移和速度的功率谱积分,再计算地震辐射能量和视应力等震源参数。根据计算结果分震级区间研究了视应力值沿安宁河-则木河断裂带的分布情况,及该断裂带上中等地震的震源谱及参数差异,认为安宁河断裂带视应力相对更高。     

由地震释放的地震矩叠加推导平均应力场

文中给出了根据地震释放的总地震矩求解平均应力场的方法,并使用加入随机误差的人工合成震源机制解数据和唐山余震区震源机制解数据对其进行检验。由检验结果可知,该方法可以应用于区域平均应力场的求解。使用的震源机制解资料越多,所得结果越稳定,且更接近真实的区域应力场。该方法的优点是: 用每个地震的震级作为权重,能够较好地反映出大小地震在应力场反演中的不同贡献; 并且在计算过程中不需要知道震源机制解2个节面中哪个节面为地震断层面。     

新疆两次强震前后地震视应力变化

选取了喀什数字地震台记录的喀什及周边地区地震的宽频带波形资料,分析处理了2001～2005年Ms 3.5以上地震164次,通过数字地震波谱计算了标量地震矩和地震辐射能量,从而进行了视应力的计算.给出了巴楚-伽师Ms 6.8和乌什Ms 6.3强震前后视应力的时序变化情况,发现其视应力均表现出震前低应力阶段-主震前的逐渐上升-震后逐渐恢复的动态变化过程,即地震的孕震-发震-震后调整的阶段性变化特征.这一结果可为喀什及周边地区今后进行地震预测预报研究提供参考依据,对该区开展数字地震方面的研究也有所帮助.     

An Overview of the Study on Stress Magnitude

Crustal stress field holds an important position in geodynamics research, such as in plate motion simulations, uplift of the Qinghai-Xizang (Tibet) Plateau and earthquake preparation and occurrence. However, most of the crustal stress studies emphasize particularly on the determination of stress direction, with little study being done on stress magnitude at present. After reviewing ideas on a stress magnitude study from geological, geophysical and various other aspects, a method to estimate the stress magnitude in the source region according to the deflection of stress direction before and after large earthquakes and the stress drop tensor of earthquake rupture has been developed. The proposed method can also be supplemented by the average apparent stress before and after large earthquakes. The stress direction deflection before and after large earthquakes can be inverted by massive focal mechanisms of foreshocks and aftershocks and the stress drop field generated by the seismic source can be calculated by the detailed distribution of the earthquakes rupture. The mathematical relationship can then be constructed between the stress drop field, where its magnitude and direction are known and the stress tensor before and after large earthquakes, where its direction is known but magnitude is unknown, thereby obtaining the stress magnitude. The average apparent stress before and after large earthquakes can be obtained by using the catalog of broadband radiated energy and seismic moment tensor of foreshocks and aftershocks and the different responses to stress drops. This relationship leads to another estimation of stress magnitude before a large earthquake. The stress magnitude and its error are constrained by combining the two methods, which provide new constraints for the geodynamics study.     

汶川MS8.0级地震发生背景与过程的研究

本文首先阐明汶川M_S8.0级地震发生在由区域布格重力异常和地震震中分布所确定的武都—松潘—茂汶—汶川—泸定地震带上.汶川地震所在地段是地震前兆和中小地震（M≤7.0）的空白区,震前出现明显的孕震空区,M_S8.0级地震发生在空区周围区域中小地震活动峰值之后的减少段里.地震的破裂超出孕震空区范围,空区内、外余震活动呈现出不同的衰减特征,依此将余震活动分为WS和NE两个区段.地震破裂过程、4级以上余震矩张量及震区应力场反演和余震应力降的测定结果表明,两个区域的位错、余震机制解和应力降及最大主应力的方〖JP2〗向等明显有别.根据这些特征和地震应力触发的研究,推测NE段地震的发生可能是〖JP〗由WS段主破裂的发生所触发.     

郯庐断裂带南段及邻区中小地震视应力的时空特征研究

利用安徽地区测震台网记录的波形资料, 采用波形分析和反演的方法计算了郯庐断裂带南段及邻区中小地震的视应力, 分析研究视应力的时空变化特征, 并讨论其与地震矩等震源参数之间的关系。 结果表明: ① 利用提取的地震震源谱数据计算得到郯庐断裂带南段及邻区中小地震的视应力值为0.05～0.9 MPa, 平均为0.20 MPa, 以此可作为该区域的背景应力水平; ② 时间变化显示视应力在黄海M_L5.1、 江西九江M_L6.0及河南太康M_L5.0地震前呈现持续高值异常状态, 震后趋于正常水平, 而江西九江6.0级地震后视应力再次出现高值异常, 随后发生了安徽定远M_L4.7地震, 一定程度上说明郯庐断裂南段及邻区中小地震的高视应力水平与华东地区中强震有较好的对应关系; ③ 空间分布显示高视应力集中区与地震高辐射能区域具有一定的相关性, 主要位于嘉山—滁州段的皖、 苏交界区附近和庐江县附近, 该区域相继发生过定远4.7级和安庆4.8级地震, 并推断认为庐江县附近发生破坏性地震的危险性可能更大, 值得高度关注; ④ 视应力随着地震矩增加而增加的趋势不明显, 拐角频率与地震矩大体呈负相关。     

FOCAL MECHANISM AND SEISMOGENIC STRUCTURE OF THE M5.0 YUEXI EARTHQUAKE ON 1 OCT. 2014, SOUTHWESTERN CHINA

The Oct.1,2014 M5.0 Yuexi earthquake occurred on the Daliang Shan fault zone where only several historical moderate earthquakes were recorded.Based on the waveform data from Sichuan regional seismic network,we calculated the focal mechanism solution and centroid depth of the M5.0 Yuexi earthquake by CAP (Cut and Paste) waveform inversion method,and preliminarily analyzed the seismogenic structure.We also calculated the apparent stress values of the M5.0 earthquake and other 14 M_L≥4.0 events along the Shimian-Qiaojia fault segment of the eastern boundary of the Sichuan-Yunnan block.The result indicates that the parameters of the focal mechanism solution are with a strike of 256°,dip of 62°,and slip of 167° for the nodal plane Ⅰ,and strike of 352°,dip of 79°,and slip of 29° for the nodal plane Ⅱ.The azimuth of the P axis is 121° with dip angle of 11°,the azimuth of T axis is 217° with dip angle of 28°,and the centroid depth is about 11km,and moment magnitude is M_W5.1.According to the focal mechanism solution and the fault geometry near the epicenter,we infer that the seismogenic fault is a branch fault,i.e.,the Puxiong Fault,along the central segment of the Daliang Shan fault zone.Thus,the nodal plane Ⅱ was interpreted as the coseismic rupture plane.The M5.0 Yuexi earthquake is a strike-slip faulting event with an oblique component.The above findings reveal the M5.0 Yuexi earthquake resulted from the left-lateral strike-slip faulting of the NNW Dalang Shan fault zone under the nearly horizontal principal compressive stress regime in an NWW-SEE direction.The apparent stress value of the Yuexi earthquake is 0.99MPa,higher than those of the M_L ≥ 4.0 earthquakes along the eastern boundary of the Sichuan-Yunnan block since 2008 Wenchuan M8.0 earthquake,implying a relatively high stress level on the seismogenic area and greater potential for the moderate and strong earthquake occurrence.It may also reflect the current increasing stress level of the entire area along the eastern boundary,and therefore,posing the risk of strong earthquakes there.     

震源参数之间的定量关系

本文根据建立在平均二维破裂模式基础上的地震定标律,导出了地震矩 M0与各常用震级之间（1gM0-MS,ML,mb）,各种震级之间（Ms-ML,Ms-mb,ML-mb）,各震源参数之间（断层长度IgL,断层面积 lgS,平均错距 lgD-Ms,拐角频率 1gfc-ML）的各种常用的关系式.利用这些关系式,由一个震级值就可以估算出一系列震源参数.本文还求出了平均破裂速度 Vr=2.65km/s,总破裂时间 T（s）=0.5L（km）,平均位错速度 D（t）=11.4m/s.用矩震级 Mw 度量地震的大小,有四个优点:（1）地震矩反映了形变规模的大小,因此是度量地震大小的最佳物理量.（2）它是一个绝对力学标度,对任何大小地震都有意义,可测量,且不产生饱和问题.（3）它和我们已熟悉的震级标度可衔接.（4）它是一个均匀的震级标度,适用于宽尺度的地震统计.因此,Mw 是一种值得推广的震级标度.