Numerical simulation of dynamic Coulomb stress changes induced by <Emphasis Type="Italic">M</Emphasis>6.5 earthquake in Wuding,Yunnan and its relationship with aftershocks

Based on the discrete wavenumber method, we calculate the fields of dynamic Coulomb rupture stress changes and static stress changes caused by M6.5 earthquake in Wuding, and study their relationship with the subsequent aftershocks. The results show that the spatial distribution patterns of the positive region of dynamic stress peak value and static stress peak value are similarly asymmetric, which are basically identical with distribution features of aftershock. The dynamic stress peak value and the static stress in the positive region are more than 0.1 MPa and 0.01 MPa of the triggering threshold, respectively, which indicates that the dynamic and static stresses are helpful for the occurrence of aftershock. This suggests that both influences of dynamic and static stresses should be considered other than only either of them when studying aftershock triggering in near field.     

云南武定M6.5地震动态库仑破裂应力变化的数值模拟及其与余震活动的关系

在离散波数法（DWN）基础上,计算了武定M6.5地震断层破裂在周围介质中产生的位移时程（位移理论地震图）和动态位移场;进行弹性动力学转换后,求得应变时程和动态应变场;最后得到了武定M6.5地震所产生的动态库仑破裂应力变化量和动态库仑破裂应力变化场,进而研究其与后续余震的关系. 结果表明,动态应力最大峰值和静态应力的正区均呈非对称性分布,两者的分布特征与余震的分布特征基本一致. 在动态应力峰值为正的确定区应力值超过了0.1 MPa触发阈值, 在静态应力值为正的确定区应力值超过了0.01 MPa触发阈值. 这说明动态应力和静态应力均有助于余震的发生.      

2014年于田MS7.3地震对后续余震和远场小震活动的动态应力触发

本文采用离散波数法,计算了2014年于田M_S7.3地震的断层破裂在近场和远场产生的库仑破裂应力变化,并结合地震活动特征,讨论了M_S7.3地震对后续余震活动和远场区域小震活动的动态应力触发作用.结果表明, ① M_S7.3地震产生的库仑破裂应力变化对其西南侧主体余震区的地震活动起到了抑制作用,这可能是本次M_S7.3地震序列余震活动水平不高的主要原因;距主震约30 km的北东方向余震区后续地震活动受到了主震产生的动态和静态应力变化的共同触发作用,动态应力变化峰值为2.78 MPa,静态应力变化为0.80 MPa,这与该区余震较为活跃相一致;距主震约45 km的北部余震区受到动态应力触发作用,应力变化峰值为0.72 MPa. ② M_S7.3地震产生的动态库仑应力变化空间分布呈非对称性,其中北东方向、北部余震分布与动态应力变化正值区存在相关性,从应力变化的角度解释了M_S7.3地震的后续余震空间活动特征. ③ M_S7.3地震在沙雅、伽师地区的远场接收点产生的动态应力变化峰值分别为0.09 MPa、0.1 MPa,对两个区域的小震活动具有动态触发作用.     

Numerical simulation of dynamic Coulomb stress changes induced by M6.5 earthquake in Wuding, Yunnan and its relationship with aftershocks

Based on the discrete wavenumber method, we calculate the fields of dynamic Coulomb rupture stress changes and static stress changes caused by M6.5 earthquake in Wuding, and study their relationship with the subsequent after- shocks. The results show that the spatial distribution patterns of the positive region of dynamic stress peak value and static stress peak value are similarly asymmetric, which are basically identical with distribution features of aftershock. The dynamic stress peak value and the stati...     

Complete Coulomb stress changes induced by the Ms7.6 earthquake in Lancang-Gengma,Yunnan and triggering of aftershocks by dynamic and static stress

The spatiotemporal evolution patterns of complete Coulomb stress changes caused by 1988 Ms7.6 earthquake in Lancang-Gengma,Yunnan,are calculated and studied.And the triggering problems of Ms7.2 Gengma shock occurring 13 minutes after the main shock and of Ms5.0―6.9 aftershocks within 24 days after the main shock are discussed.The results show that the spatial distribution patterns of complete Coulomb stress changes of the Ms7.6 main shock are strongly asymmetric.The areas of positive dynamic and static Coulomb stress are both coincident well with the strong aftershocks' locations.The Ms7.2 Gengma shock and most of strong aftershocks are subjected to the triggering effect of dynamic and static Coulomb stresses induced by the Ms7.6 Lancang earthquake.     

Visco-elastic stress triggering model of Tangshan earthquake sequence

We calculated the Coulomb failure stress change generated by the 1976 Tangshan earthquake that is projected onto the fault planes and slip directions of large subsequent aftershocks.Results of previous studies on the seismic fail-ure distribution,crustal velocity and viscosity structures of the Tangshan earthquake are used as model constraints.Effects of the local pore fluid pressure and impact of soft medium near the fault are also considered.Our result shows that the subsequent Luanxian and Ninghe earthquakes occurred in the regions with a positive Coulomb fail-ure stress produced by the Tangshan earthquake.To study the triggering effect of the Tangshan,Luanxian,and Ninghe earthquakes on the follow-up small earthquakes,we first evaluate the possible focal mechanisms of small earthquakes according to the regional stress field and co-seismic slip distributions derived from previous studies,assuming the amplitude of regional tectonic stress as 10 MPa.By projecting the stress changes generated by the above three earthquakes onto the possible fault planes and slip directions of small earthquakes,we find that the "butterfly" distribution pattern of increased Coulomb failure stress is consistent with the spatial distribution of follow-up earthquakes,and 95% of the aftershocks occurred in regions where Coulomb failure stresses increase,indicating that the former large earthquakes modulated occurrences of follow-up earthquakes in the Tangshan earthquake sequence.This result has some significance in rapid assessment of aftershock hazard after a large earthquake.If detailed failure distribution,seismogenic fault in the focal area and their slip features can be rapidly determined after a large earthquake,our algorithm can be used to predict the locations of large aftershocks.     

Precursory specialties of apparent stresses in Yunnan earthquake series

On the basis of the assumption that ω^2 model accords with source displacement spectra, we have obtained the mathematical expressions for calculating apparent stresses of moderate-small shocks from low-frequency flat level and comer frequency. By using digital seismic records, apparent stress values are calculated for 823 moderate-small shocks of 4 earthquake series in Yunnan area following corrections for instrument response, propagation influence and site effect. The results show that for the 4 earthquake series in Yunnan area, apparent stress hints precursory information, which means that if a moderate-small shock occurs with apparent stress larger than 1 MPa in an earthquake series, a moderate-strong earthquake will occur afterwards; and if there is not moderate-small shock with apparent stress larger than 1 MPa after a moderate-strong event in an earthquake series, strong aftershock will not occur. The research also indicates that the average apparent stress value is 0.8 MPa in Yunnan area, therefore, apparent stress is not obviously related to seismic magnitude.     

On temporal and spatial distribution of seismic apparent stresses in Yunnan area

Introduction In recent years the study of the digital seismology has made great progress due to the wide use of the broadband digital records. And many fine results of the focal theory have obtained. The focal theory mainly studies the physical process of the seismic fracture and production of the seismic wave, as well as its traveling process. One of the great progresses is to simulate the fracture process in the active fault. Especially a new concept of the fracture mechanics has been intro…     

2008年新疆于田MS7.3地震对后续 地震的完全库仑应力触发作用

在离散波数法基础上计算2008年3月21日新疆于田M_S7.3地震造成的近场区域完全库仑应力变化, 分析该变化对余震发生所产生的影响, 得到了此次地震在2008年10月5日乌恰M_S6.8地震震中处所产生的动态库仑破裂应力变化. 计算结果表明, 该地震近场区域库仑应力变化图像演化大概持续了60 s, 库仑应力变化对余震的触发率达到90%以上, 其中动态库仑应力变化图像更好地解释了余震的分布. 余震震中处的完全库仑应力变化计算结果表明, 其动态库仑应力变化远远大于静态库仑应力变化. 于田M_S7.3地震在乌恰M_S6.8地震震中处造成的最大动态库仑应力变化为0.12 MPa, 说明后者可能受到了于田M_S7.3地震的动态应力触发作用, 但不显著;而静态库仑应力则对其影响很小.      

A new finite element model in studying earthquake triggering and continuous evolution of stress field

In this paper, a new finite element model (FEM) in consideration of regional stress field and an earthquake triggering factor C are proposed for studying earthquake triggering and stress field evolution in an earthquake sequence. The factor C is defined as a ratio between the shear stress and the frictional strength on a slip surface, and it can be used to tell if earthquake is triggered or not. The new FEM and the factor C are used to study the aftershock triggering of the 1976 Tangshan earthquake sequence. The results indicate that the effects of the stress field and the heterogeneity of the Tangshan earthquake fault zone on the aftershock triggering are very important. The aftershocks fallen in the earthquake triggering regions predicted by the new FEM are more than those fallen in the regions of ΔCFS⩾0 predicted by seismic dislocation theory. Supported by National Natural Science Foundation of China (Grant Nos. 40474013 and 40821062)     

印尼MS8.7地震对中国大陆3次后续中强地震的动应力触发研究

印尼8.7级地震发生后,在不到2个月时间内,在中国大陆相继发生了3次后续中强地震(2004年12月26日云南双柏MS5.1地震、2005年1月26日云南思茅MS5.1地震、2005年2月15日新疆乌什MS6.2地震),印尼地震和这3次后续地震是否存在触发关系?计算了印尼地震在3次后续地震破裂面上的动库仑应力变化和静库仑应力变化。静应力变化量小,低于一般认为的触发阈值(0.01 MPa);动应力变化峰值为10-1MPa,可能是这3次后续地震的触发因素。     

Preliminary study on isostatic anomaly and recent tectonic stress field——Taking East China Sea and its eastern marginal seas as an example

On the basis of the reality of recent tectonic movement and discarding such a viewpoint that the isostatic adjust-ment only results from excessive or insufficient compensation,we have discussed the tectonic stress causing ine-auality and regarded the isostatic anomaly as a load on the earth‘s interior,thus the earth‘s inner stress can be cal-culated.The research results show that in the East China Sea and its eastern marginal seas the change of the verti-cal stress derived from the isostatic gravity anomaly is more marked than that of the horizontal stress.Along the Ryukyu trench there is an enhancement of vertical stress by 5MPa,which evidently reflects the effect of plate subduction.On contrary,along the island are to the northwest of the trench the vertical stress weakens by about5MPa.The horizontal stresses in eastern and western parts are obviously different,the east westward stress on the oceanic crust σx is negative(while the pressure is positive)but on the continental crust in positive.These facts indicate the effect of compression between plates.     

完全库仑破裂应力变化与云南龙陵震群序列的应力触发

计算和研究了1976年云南龙陵Ms73、Ms74双主震产生的完全库仑破裂应力变化及其对后续震群序列的动态和静态应力触发作用.结果显示，龙陵第2主震受到了第1主震的动态和静态库仑破裂应力的触发作用.龙陵双主震的13个后续强余震中，发生在龙陵三角形块体内部的强余震，90%都受到了第1或第2主震的动态库仑破裂应力触发或静态库仑破裂应力触发作用，发生在三角形块体外部的强余震，2/3受到了第2主震的动态库仑破裂应力触发作用.从触发作用的强度和范围上看，第2主震的动态和静态库仑破裂应力触发作用都大于第1主震.就近场而言，受到龙陵双主震的动态和静态库仑破裂应力触发作用的余震数目相当，但动态库仑破裂应力的触发作用范围大于静态库仑破裂应力.     

Stress interactions between normal faults and adjacent strike-slip faults of 1997 Jiashi earthquake swarm

During a 4-month period starting from 21 January, 1997, an earthquake swarm of seven major events (Ms≥6.0) struck the Jiashi region at the northwestern corner of the Tarim Basin in Xinjiang,, China. Previous relocation studies suggested that these strong earthquakes had occurred along at least two parallel rupture zones. According to the relocated hypocenters and focal mechanisms of the events, we have constructed fault models for these seven earthquakes to calculate the Coulomb stress changes produced by each of these events. Furthermore, we extended our model calculations to include an ad- jacent 1996 Ms=6.9 Artushi earthquake, which occurred one year before the Jiashi earthquake swarm. Our calculations show that the Coulomb stress change caused by the preceding events was around 0.05 MPa at the hypocenter of the 4th event, and higher than 0.08 MPa at the hypocenters of the 2nd, 3rd, 5th and 6th events. Our results reveal a Coulomb stress interactive cycle of earthquake triggering between two adjacent normal and strike-slip faults.     

2010年MS7.1级玉树地震同震库仑应力变化以及对2011年MS5.2级囊谦地震的影响

2010年4月14日青海省玉树藏族自治州发生M_S7.1级地震.和传统的板内地震相比,玉树M_S7.1级地震的余震具有数量少、震级大的特点.研究玉树地震主震与余震之间的关系,对于我们了解余震的发震机理具有十分重要的参考价值.本文利用弹性位错理论和分层岩石圈模型,计算玉树地震引起的同震及震后黏弹松弛应力场变化,讨论M_S7.1级玉树地震对余震分布的影响以及与2011年囊谦M_S5.2级地震之间的触发关系.结果显示,玉树地震导致了四处明显的库仑应力增强的扇区,2010年4月13日至6月17日的870次M_L>1.0级余震主要分布于主震破裂面附近区域以及破裂面东北端的应力增强扇区.分析玉树地震对余震分布的影响时,有效摩擦系数以及计算深度的选取对计算结果的影响较小,是否考虑区域构造应力场的影响较大.考虑区域构造应力场时,占总数86.7%的余震位于库仑应力增强区,地震应力触发理论较好地解释了余震的分布.选取囊谦地震震源机制解的两个节面作为库仑应力计算中的接收断层参数,并且考虑不同黏滞系数下的玉树地震同震及震后黏弹松弛效应,模型计算结果均表明囊谦地震位于玉树地震所导致应力影区,仅依靠地震的静态、震后黏弹松弛应力触发理论,无法解释囊谦地震的发生,说明该次地震可能是一次独立的事件.     

Variation of stress during the rupture process of the 1995 ML=4.1 Shacheng, Hebei, China, earthquake sequence

According to the rupture dynamics of earthquakes, variations of the apparent stress and the difference between the static stress drop and the dynamic stress drop during the rupture of earthquakes are analyzed for the July 20, 1995 M _L=4.1 Shacheng, Hebei, China, earthquake sequence. Results obtained show that the apparent stress for main-shock is about 5 MPa, and the average apparent stress for aftershocks 0.047 MPa. During the rupture of the main-shock, the dynamic stress drop is approximately 1.6 times greater than the static stress drop with the difference of nearly 2.7 MPa. The dynamic stress drop is less than the static stress drop for all aftershocks with the average difference of −0.75 MPa. Therefore, when the mainshock occurs the final stress on the focal fault is higher than the dynamic frictional stress, corresponding to that the fault is abruptly locked. When the aftershocks occur the final stress on the focal fault is lower than the dynamic frictional stress, corresponding to that the fault overshoots. It can be seen from the above results that there could be some differences in the physic processes between the mainshock and the aftershocks. Contribution No. 05FE3013, Institute of Geophysics, China Earthquake Administration.     

Static stress changes as a triggering mechanism of a shallow earthquake: case study of the 1999 Chi-Chi (Taiwan) earthquake

The role of static stress changes in triggering an earthquake has long been debated in the fields of geophysics and fault mechanics. Valuable data sets for the study of static triggering were provided within the 1-year period following the devastating 1999 Chi-Chi (Taiwan) earthquake (M_W=7.6), during which more than 20,000 aftershocks occurred. In this study, stress waves generated by the Chi-Chi earthquake were calculated using a source rupture model in conjunction with a layered elastic model. Static (permanent) stress changes were extracted from the long-period offsets in the stressgrams. Correlations between the calculated stress changes and seismicity were analyzed at different depths and over varying time intervals to ascertain the impact effects of stress changes on triggering aftershocks. Correlations between prior seismicity rates and static stress changes imposed by the Chi-Chi event were low, while correlations between late seismicity rates and static stress changes were much higher. This indicates that static stress changes did affect the occurrence of the Chi-Chi aftershock sequence. The percentage of early aftershocks at shallow depths (0-10 km) in static stress-enhanced areas within 2 weeks of the main shock was high but decreased considerably at greater depths (>10 km) and over longer time periods. It is concluded that static stress changes at depths of 0-10 km played a major role in triggering crustal aftershocks, especially those that occurred within 2 weeks of the main shock. In the deeper crust, static stress changes may have been modified by viscous flow, and at later times, perturbed by earlier, larger aftershocks. Although the correlations between seismicity rate changes and static stress changes are imperfect, a region that was anti-triggered is detected when these two results are compared. Static stress changes are presumably not the only aftershock triggering mechanism, but they definitively play a major role in triggering shallow aftershocks.     

2007年宁洱6.4级地震强余震库仑破裂应力触发研究

运用Okada方法计算了2007年6月3日宁洱MS6.4地震在其MS5.1强余震破裂面上产生的静态库仑破裂应力变化。结果表明,该静态库仑破裂应力变化量为0.36MPa,超过"触发阈值"(10-2MPa)1个数量级,说明宁洱6.4级地震在其5.1级强余震破裂面上引起的应力变化可能触发了该强余震的发生。     

2021年云南漾濞MS6.4地震动态应力对后续余震活动的触发作用

选取IRIS远震台站波形数据,反演了云南漾濞M_S6.4地震震源破裂过程,计算了断层破裂在近场产生的动态库仑破裂应力变化,并讨论了主震对近场余震活动的动态应力触发作用。结果显示:动态库仑应力演化过程与震源破裂特征反演结果一致,其大小分布与地震序列分布的疏密程度也具有较好的相关性。主震产生的静态和动态库仑破裂应力均促进余震的发生,但相比静态应力,余震位于库仑破裂应力正值区域的比例提高了21%,余震与动态库仑应力变化的正负区域有更好的一致性,动态应力能更好地解释震后余震分布的空间特征。垂直于地震序列主干10 km处出现小震丛集,该现象可能是由主震产生的动态库仑破裂应力占主导作用所致。定量分析主震对余震的动态应力触发结果显示,主震后一周内M_S4.0以上的8次余震接收点均受到了动态库仑破裂应力的触发作用。      

2014年2月12日新疆于田MW7.0地震源区静态库仑应力变化和地震活动率

2014年2月12日新疆于田M_W7.0地震源区位于巴颜喀拉块体与西昆仑块体的连接部位,东西向拉张构造发育,距离2008年3月21日于田M_W7.1地震震中位置约100 km.根据有限断层地震破裂过程模型,计算了2008年新疆于田地震产生的静态库仑应力变化.此次地震的断层面呈北偏东方向,在断层两端出现3个应力加载区,2014年于田主震位于破裂前端的库仑应力加载区.这一结果表明,2008年于田地震可能对2014年地震事件起到了触发作用.2008和2014年新疆于田地震产生的静态库仑应力变化与余震事件的空间分布具有明显的相关性,大多数余震位于应力加载区,发生在卸载区的余震较少.静态库仑应力变化与余震序列吻合较好.2014年3月21日新疆于田地震之后40天,在北西方向发生M_W5.2强余震,其震中位置的应力增量达到0.63×10⁵Pa.通过比较,发现静态库仑应力变化和地震活动率之间具有较好的相关性.地震活动率较高的区域与静态库仑应力加载区相对应,如康西瓦断裂东段、贡嘎错断裂中段和东北段等区域.