近震震源深度测定精度的理论误差分析

震源深度是地震学中最难准确测定的参数之一,各种方法对于震源深度的估计都具相当程度的不确定性,影响着人们对震源过程的认识。各种因素对震源深度的影响是非线性的,本文从近震走时公式入手,分析了震中距、到时残差和速度模型(地壳模型)对震源深度的影响。当地震波传播速度一定时,震源深度的误差随着震中距或台站距离的增大和走时残差的增大而增大。走时残差一定时,震源深度误差随着震中距的增大和地震波速度的增大而增大。研究也表明,当速度已知,走时残差一定时,越浅的地震,定位误差可能越大。定位精度产生的水平误差随着震中距、走时误差和地震波速度的增大而增大,震源深度误差也将增大。另外,震源深度的误差会导致发震时刻的变化,随之而来的结果都会因此而改变。     

多层介质中利用sPn与Pn到时差确定震源深度的研究

为利用sPn与Pn波的走时差测定震源深度,进一步提高地震震源深度的测定精度,推导多层介质下sPn与Pn波的走时差与震源深度的关系,发现走时差与震中距无关,只与震源深度及区域地壳速度模型有关。震源在同一层中,走时差曲线的斜率不变,而当震源位于不同层中时,sPn-Pn走时差曲线的斜率不同,并呈分段直线的走时差曲线形态。地壳速度结构纵向越不均匀,多层和单层介质下利用sPn-Pn走时差计算的震源深度误差就越大,走时曲线的各分段直线斜率相差越大;探讨地壳中sPn与Pn波传播路径相同但波速不同的单层地壳速度模型,发现单层介质下波速越大,测定的震源深度越大;对于同一地区相同的地壳分层结构,测得的震源深度随着泊松比的增大而减小。基于前人给出的中国五个典型块体多层平均地壳模型,给出sPn-Pn走时差与震源深度计算公式速查表。     

2017年9月4日河北临城M_L4.4地震震源深度测定

震源深度是地震定位中的重要参数之一。对于一个地震,sPn与Pn震相到时差是一个常量,与震中距无关,只与震源深度和地壳模型有关。基于该理论,以河北数字台网数据为基础,识别sPn震相和Pn震相,计算2017年9月4日河北临城ML4.4地震震源深度,结果为6.86km。双差定位法是目前确定震源深度比较精确的方法,双差定位得到的震源深度为7.01km。双差定位法所用数据量比较大,计算过程繁杂。利用sPn与Pn到时差计算震源深度的结果与双差定位法结果接近,计算快速、简单,所需数据量小。因此,将该方法应用到实际工作中,可以快速、准确地测定近震震源深度。     

多种方法测定2019年皎口水库地区2.5级以上地震震源深度

应用CAP方法、sPL深度震相方法和双差定位方法,对2019年M2.5以上皎口水库地区地震震源深度进行测定。通过CAP方法进行反演,计算出最佳震源机制解及震源深度;在震中距50 km左右的近台识别出清晰的sPL震相,运用频率—波速（F-K）方法画出各种震源深度的理论波形,与实际波形进行拟合确定震源深度;建立地震事件对,利用走时差观测值与理论值的残差确定其相对位置及深度。结果发现,上述多种方法测定的结果基本一致;相对而言,双差定位方法更适合皎口水库地区地震震源深度的测定。      

用sPn与Pn波走时差测定近震震源深度的方法

本文推导了sPn与Pn波走时差与震源深度的关系。 方程中sPn与Pn波的走时差与震中距无关, 只与区域地壳模型和震源深度有关。 根据该方程, 提出用近震震相sPn与Pn的走时差来测定地震深度的简便、 准确方法。 运用本方法对2008年8月30日和8月31日发生在四川省攀枝花和会理交界处的M_S6.1、 M_S5.6两次地震的震源深度进行了测定, 并与中国地震台网中心的结果进行了对比, 所测得的结果准确、 可靠。     

三维复杂速度模型的交切法地震定位

地震定位是地震监测与减灾研究重要基础.基于均匀或横向均匀介质模型,利用震源轨迹确定震源位置的交切法具有稳健和效率高的优点,但定位精度较低,特别是震源深度.为提高震源定位精度,我们提出适用于三维复杂速度模型的地震定位交切法.将地壳速度模型由均匀或横向均匀介质模型扩展为三维复杂速度模型;均匀或横向均匀介质模型对应的原假设为球面或双曲面的震源轨迹通过最小走时树射线追踪技术予以确定.确定震源位置的震源轨迹以到时差作为约束条件;将震源定位于震源轨迹交汇最密集的点处,即总的到时差残差(RDT)最小的点处.定位结果的不确定性可通过RDT值较小节点的空间分布予以定性表示.考察了准确速度模型、扰动速度模型、扰动观测到时及地震在台网外等4种情况下改进方法的地震定位效果,结果表明改进的交切法可用于三维复杂速度模型的地震定位;综合利用P波与S波的到时差信息,可明显改善震源位置约束;使用多条震源轨迹进行定位,有助于减少由随机因素导致的定位误差.     

Numerical Simulation of the Binchuan Airgun Source Affected by Water Body

The numerical simulation of the influence of a reservoir water body on the Binchuan airgun source could provide a theoretical basis to analyze the data obtained from the active source detection and inversion of regional interior medium structures. Based on a medium model containing limited water body, we use the finite different method to simulate the effect of the water level, excitation energy and focal depth. The results show that the influence on the waveform amplitude caused by the water level changing is very large near the water body, and that a high water level or large amplitude change can have a larger effect. However, for stations beyond a certain epicentral distance, the influence will be weakened and kept stable. As for the Binchuan airgun source, amplitude fluctuation caused by the water level changing becomes very small(±0.05 times) after propagating a certain distance, so we can remove the influence of the water level changing by referring to the numerical simulation result. Wave amplitude increases linearly with the excitation energy and focal depth, therefore, the greater the energy and the deeper the focal depth, the better the effect of the excitation, and is more conducive in detecting remote and deep penetration underground structures.     

2021年5月21日云南漾濞Ms6.4地震序列重新定位、震源机制及应力场反演

2021年5月21日云南省大理州漾濞县发生了Ms6.4地震,引起了社会的极大关注.本研究利用双差定位法对云南漾濞Ms6.4地震序列(2021年5月1824日)进行了重新定位,获得331个地震重新定位结果,主震震源位置为(99.869°E,25.689°N,8.8 km).利用远场Rayleigh面波振幅的频谱陷波相,通...     

地形起伏对基于地震波形的浅源地震深度反演影响——以2017年9月3日朝鲜M6.3事件为例

震源深度是核试验以及塌陷等浅源地震研究中的关键参数,可以为事件成因分析提供关键信息.然而朝鲜核试验区域地形起伏较大,地形效应可能对震源深度反演的结果造成影响.本文基于理论地震图进行测试,研究了地形起伏对震源深度反演的影响.发现震源深度小于2km时,不考虑地形影响,反演得到的震源深度会系统偏浅0.2km左右.然后利用MDJ2速度结构模型,我们反演了2017年9月3日朝鲜M6.3事件的震源参数,结果显示震源深度约为0.8km.进一步基于带地形的格林函数重新反演了该事件的震源深度,发现在1km处波形拟合结果较好.不同速度模型测试结果显示该事件的震源深度反演误差约为1km.案例研究表明,基于层状均匀速度模型,利用区域地震波形资料反演的震源深度可以为浅源事件成因分析提供关键约束.     

The Present Status and Prospect of Earthquake Focal Depth Locating

Locating an earthquakes focal depth is always a key project in seismology. Precise focal depth is of critical importance for evaluating seismic hazards, deciphering dynamic mechanisms of earthquake generating,estimating aftershock evolutions and risk,as well as monitoring nuclear tests. However,how we determine an accurate focal depth is always a challenge in seismological studies. Aiming to solve these problems, we analyzed and summarized the present status and the future development of earthquake focal depth locating. In this paper we first reviewed the present status of focal depth locating in the world,and summarized the frequently-used relocating methods and ideas at present,and introduced two types of focal depth relocating ideas: arrival time relocating and waveform modeling methods. For these ideas,we systematically described the S-P and the Pn-Pg methods that belong to arrival time method,and polarization focal depth locating and amplitude focal depth locating that belongs to waveform modeling,and further analyzed the advantages and limitations of these methods. Since the depth phase methods are highly sensitive to focal depth,and are relatively free from the uncertainties of crustal models,we mainly reviewed the depth phases of s Pm P,s PL,s Pn,and s Sn,and quantitatively evaluated their availabilities and characteristics. Second,we also discussed the effects of crustal velocity models on the reliability of focal depth locating,and reviewed the advancements of seismic tomography techniques over recent years. Finally,based on the present status of the progress on the focal depth locating,and studies of seismic velocity structures,we proposed an idea of combining multiple datasets and relocating methods,jointly utilizing seismologic and geodetic techniques to relocate focal depth,which should be the major research field in investigating focal depth and source parameters in the near future.     

四川2015速度模型在九寨沟M_S7.0地震震源深度测定中的应用

利用四川2015模型,选择Msdp嵌入的几种常用定位方法对九寨沟M_S7.0地震进行重新定位,比较震源深度结果,并用PTD方法验证合适的震源深度,从而得到较为可靠的震源深度。本文最终判定九寨沟M_S7.0地震震源深度为12±2km。     

Ground-motion modelling at regional distances for earthquakes in a continental interior,II. Effect of focal depth,azimuth and attenuation

Multiple-mode surface-wave signals are used to model ground motion at distances of 50 to 500 km for an earthquake source in a continental interior. Motion on a thrust fault is used as the earthquake model. Theoretical ground-motion time histories are generated for this source for various focal depths, receiver azimuths and medium-attenuation models. A shallow source will generate greater values for the ground motion than the same source at a greater depth. Two anelastic attenuation models are considered, one appropriate to the central and eastern United States and the other to southern California. The effects of the difference in the attenuation models are seen at distances greater than 100 km for periods greater than 1.5 sec.     

用Pn-Pg走时差计算内蒙古地区地震震源深度

震源深度是地震学研究的关键参数,也是难以准确测定的参数之一。由于Pn和Pg震相的路径特征,其走时差对震源深度的变化较敏感,Pn和Pg震相是地震台网观测报告中数量较丰富且精度较高的震相数据,因此Pn-Pg方法为震源深度测定提供了简便且可行的方式。本文讨论了使用Pn-Pg走时差测定震源深度的实现方式,使用模拟数据评估了该方法的误差,结果表明,震相到时误差在一定范围时,此方法可以给出较可靠的深度结果。使用Pn和Pg走时差计算了内蒙古地区地震的震源深度,重新测定的深度频次分布更加合理,区域差异也比较明显,东部和西部的震源深度较深,中部地区震源深度较浅。     

多种方法测定广东阳西3.7级地震震源深度

应用CAP和深度震相方法,对2018年3月20日发生在广东阳西的M3.7级地震震源深度进行了测定。首先通过CAP方法反演获得震源机制解,拟合最佳震源深度为12km。然后在震中距100km以内的近台识别出清晰的sPL和PmP、sPmP震相,利用频率-波数(F-K)方法,计算出深度震相在不同深度下的理论地震图,与实际观测波形对比测定震源深度为12km。再利用250~400km震中距范围内台站上识别出的sPn与Pn震相的走时差,测得震源深度12.6km。多种方法的研究结果一致,表明该地震震源深度为12km比较可靠。     

The effect of focal depth error on moment tensor inversion

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Determination Method of Focal Depth of Local Earthquake Using the Travel-time Difference between Pn and sPn

In this paper,we derived the relationships between the travel time difference of sPn and Pn and the local earthquake focal depth.In these equations,the travel time difference of sPn and Pn is not related to the epicentral distance,but depends only on the regional crustal mode and the focal depth.According to the equations,we provided a simple and accurate method to determine local earthquake focal depth by using the travel time difference between phase sPn and Pn.This method has been used to determine the f...     

丽江M_S7.0地震余震深度揭示出的中地壳脆塑性转化特征

1996年丽江MS7.0地震的余震深度分布明显具有时间依赖性,主震发生后短时间内余震震源深度较深,随着时间的延续,余震震源深度变得越来越浅。余震的这种深度分布受地壳脆塑性转化带深度控制,而脆塑性转化带的深度变化与地震前后断层的应变速率有关。由震后GPS地表变形数据得到的地表变形模型表明,震后地表变形主要来自地壳深部,震后滑动与地壳深部弹性松弛有关。根据鲜水河断层地表的滑动数据和按Marone's(1991)给出的方程确定的震后滑动模型,估计的应变速率显示,主震发生后应变速率较高,随时间延续,应变速率逐渐下降。基于地壳P波速度结构和利用热流数据估计的丽江地区地壳温度,采用含水石英的塑性流变参数,估计了中地壳脆塑性转化带深度随震后应变速率的变化。结果表明,主震震源深度与余震深度分布下限与中地壳脆塑性转化带的深度随时间变化趋势一致。由于断层的震后快速滑动致使断层带深部具有很高的应变速率,高应变速率引起断层脆塑性转化带深度下移,主震之后短时间内发生了较深的余震;随着震后时间的延续,断层逐渐进入蠕变阶段,断层滑动速率逐渐减小,地壳应变速率逐渐降低,断层脆塑性转化带也逐渐恢复到间震期的深度,相应余震深度随之变化。因此,余震分布的深度变化是中地壳流变结构和脆塑性转化带深度变化的直接反映。     

用sPn计算四川省攀枝花地震的震源深度

本文推导了sPn与Pn波走时差与震源深度的方程,方程中sPn与Pn波的走时差与震中距无关,只与震源深度和区域地壳模型有关.根据该方程,提出用sPn与Pn的走时差来测定地震深度.2008年8月30日和8月31日在四川省攀枝花和会理交界处分别发生了Ms6.1、Ms5.6两次地震.但是,在四川省地震台网地震目录中缺少8月30...     

USGS地震目录中4～5级震源深度异常地震可靠性初步研究:以南北地震带若干地震为例

在南北地震带地区,USGS全球地震目录中存在一些震源深度大于30km的地震.这些地震的震源深度是否可靠,对于研究这一地区的孕震机制、岩石圈强度和构造演化等科学问题具有重要意义.本文以南北地震带2012年发生的5个4~5级地震为例,利用区域地震台网的波形数据,基于sPL深度震相、短周期瑞利面波以及CAP等独立方法测定了其震源深度.结果表明:sPL深度震相和CAP方法给出的震源深度比较一致,差别小于2~3km,能够得到比较可靠的震源深度;短周期瑞利面波及其与P波振幅比也确定了地震震源深度较浅的特征.本文研究结果显示:宁夏会宁4.7级、云南富民4.8级和四川会东4.7级地震的震源深度约为8~12km左右,仍为发生于上地壳的地震,USGS地震目录给出的30km甚至更深的震源深度存在明显偏差;对于四川隆昌4.6和4.9级地震,本文给出的震源深度为1~2km,属于极浅源地震,USGS地震目录给出的10km和35km的震源深度结果尚需进一步改进.     

SOURCE PARAMETERS OF THE CANGWU MS5.4 EARTHQUAKE, 31 JULY, 2016

On July 31^st, 2016, an earthquake of M_S5.4 occurred in Cangwu County, Guangxi Zhuang Autonomous Region, which is the first M_S ≥ 5.0 earthquake in coastal areas of southern China in the past 17a. The moderate earthquake activities have come into a comparatively quiet period in coastal areas of southern China for decades, so the study about the Cangwu M_S5.4 earthquake is very important. However, differernt research institutions and scholars have got different results for the focal depth of the Cangwu M_S5.4 earthquake. For this reason, we further measured the focal depth by using CAP method and sPL phase method. sPL phase was first put forward by Chong in 2010. It is often observed between P and S wave of continental earthquakes with epicentral distance of about 30km to 50km. The energy of sPL phase is mainly concentrated on the radial component. Arrival time difference between sPL phase and direct P wave is insensitive to epicentral distancs, but increases almost linearly with the increase of focal depth. Based on these characteristics and advantages, sPL phase method is chosen to measure the focal depth of Cangwu M_S5.4 earthquake in the paper. First of all, we selected the broadband waveform data through seismic stations distributed mainly in Guangxi and adjacent provinces from Data Management Centre of China National Seismic Network and Guangxi Earthquake Networks Center. And an appropriate velocity model of Cangwu area was constructed by the teleseismic receiver function method. Then, the focal mechanism and focal depth of Cangwu M_S5.4 earthquake were determined by using the CAP(Cut and Paste)method. Next, we compared the synthetic waveforms simulated by F-K forward method of different focal depth models with the actual observed waveforms. According to the difference of arrival times between sPL and Pg phases, we finally obtained the focal depth of Cangwu earthquake. The results show that the focal depth is 11km measured by CAP method and 9km by sPL phase method. Based on the focal mechanism solution, isoseismal shapes, aftershocks distributions and investigation on spot, we conclude that the Cangwu M_S5.4 earthquake is a left-lateral strike-slip earthquake which occurred in the upper crust. Our preliminary analysis considers that the seismogenic structure of Cangwu earthquake is a north-northwest branch fault, and the control fault of this earthquake is the Hejie-Xiaying Fault.