Crustal velocity structure of central Gansu Province from regional seismic waveform inversion using firework algorithm

The firework algorithm (FWA) is a novel swarm intelligence-based method recently proposed for the optimization of multi-parameter, nonlinear functions. Numerical waveform inversion experiments using a synthetic model show that the FWA performs well in both solution quality and efficiency. We apply the FWA in this study to crustal velocity structure inversion using regional seismic waveform data of central Gansu on the northeastern margin of the Qinghai-Tibet plateau. Seismograms recorded from the moment magnitude (M _W) 5.4 Minxian earthquake enable obtaining an average crustal velocity model for this region. We initially carried out a series of FWA robustness tests in regional waveform inversion at the same earthquake and station positions across the study region, inverting two velocity structure models, with and without a low-velocity crustal layer; the accuracy of our average inversion results and their standard deviations reveal the advantages of the FWA for the inversion of regional seismic waveforms. We applied the FWA across our study area using three component waveform data recorded by nine broadband permanent seismic stations with epicentral distances ranging between 146 and 437 km. These inversion results show that the average thickness of the crust in this region is 46.75 km, while thicknesses of the sedimentary layer, and the upper, middle, and lower crust are 3.15, 15.69, 13.08, and 14.83 km, respectively. Results also show that the P-wave velocities of these layers and the upper mantle are 4.47, 6.07, 6.12, 6.87, and 8.18 km/s, respectively.     

利用深源远震记录波形研究台站区域的介质结构

本文通过北京房山周口店台维开克型地震仪的两个深源远震记录波形实例,阐明了借助综合地震图的计算来研究该台站下方介质结构的方法。 文中给出14个典型模型的综合地震图与观测波形的对比分析。结果表明,应用本文提供的方法,对介质模型的可接受程度,可由理论波形与观测波形的可相比拟程度进行判断。文中据此给出了该台站下方的介质结构模型。     

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.     

Constraining the anisotropy structure of the crust by joint inversion of seismic reflection travel times and wave polarizations

In the context of wide-angle seismic profiling, the determination of the physical properties of the Earth crust, such as the elastic layer depth and seismic velocity, is often performed by inversion of P- and/or S-phases propagation data supplying the geometry of the medium (reflector depths) or any other structural parameter (P- or S-wave velocity, density...). Moreover, the inversion for velocity structure and interfaces is commonly performed using only seismic reflection travel times and/or crustal phase amplitudes in isotropic media. But it is very important to utilize more available information to constrain the non-uniqueness of the solution. In this paper, we present a simultaneous inversion method of seismic reflection travel times and polarizations data of transient elastic waves in stratified media to reconstruct not only layer depth and vertical P-wave velocity but also the anisotropy feature of the crust based on the estimation of the Thomsen’s parameters. We carry out a checking with synthetic data, comparing the inversion results obtained by anisotropic travel-time inversion to the results derived by joint inversion of seismic reflection travel times and polarizations data. The comparison proves that the first procedure leads to biased anisotropic models, while the second one fits nearly the real model. This makes the joint inversion method feasible. Finally, we investigate the geometry, P-wave velocity structure and anisotropy of the crust beneath Southeastern China by applying the proposed inversion method to previously acquired wide-angle seismic data. In this case, the anisotropy signature provides clear evidence that the Jiangshan-Shaoxing fault is the natural boundary between the Yangtze and Cathaysia blocks.     

Topographic forcing of supercritical convection in a porous medium such as the oceanic crust

We have performed laboratory experiments using a Hele-Shaw cell to model a saturated, porous layer with various sinusoidal upper boundaries. Our intent was to determine the range of conditions over which boundary topography can control the pattern of thermal convection within a porous layer, and thereby take the first step toward understanding why heat flow seems correlated with hypsography in many areas of the ocean floor.These experiments indicate that above the critical Rayleigh number, topography does not control the convection pattern, except when the topographic wavelength is comparable to the depth of water penetration. Scaled to the depth of the layer, the convective wavenumbers are restricted to values between 2.5 and 4.8—a range which brackets π, the natural wavenumber for convection in a porous slab with planar, isothermal, impermeable boundaries. Topographies within this range control the circulation pattern perfectly, with downwelling under valleys and upwelling aligned with topographic highs. Other topographies do not force the pattern, although in some cases, the convection wavenumber may be a harmonic of the topographic wavenumber. Unforced circulation cells wander and vary in size, because they are not locked to the topography.For these experiments we employed eight different topographies with non-dimensional wavenumbers between 1.43 and 8.17, and we studied the flow at Rayleigh numbers between zero and five times the critical Rayleigh number. The amplitude of each topography tapered linearly (over a factor of three to six) from one end of the apparatus to the other, and the mean topographic amplitude was 0.05 times the depth of the layer. Under these conditions, amplitude has only a minor effect on the structural form and vigor of supercritical convection.Our results may apply to submarine geothermal systems, sealed by a thin layer of impermeable sediment draped over the basement topography. In this case, the convection wavelength—as measured perhaps by the spatial periodicity of conductive heat flow—may be a good measure of the depth to which water penetrates the crust. Where the circulation correlates with the bottom topography, it may be because the topographic wavelength is comparable to the depth to which water penetrates the porous crust.     

接收函数复谱比的最大或然性估计及非线性反演

利用Ｓｈａｍｗａｙ和Ｄｅｒ的多道最大或然性反褶积原理，讨论了从单台三分量远震Ｐ波波形中分离接收函数径向与垂向分量复谱比的方法．根据Ｔａｒａｎｔｏｌａ的波形反演理论发展了接收函数复谱比的非线性反演方法．本文的反演方法除了拟合接收函数的复谱比之外，还需拟合时间域中接收函数垂向与径向分量的初至振幅比．合成波形数据反演的结果表明本文方法的反演结果不依赖初始模型．利用该方法和ＣＤＳＮ台网兰州台记录的宽频带远震Ｐ波波形数据，研究了该台站的接收函数及其随方位角的变化．接收函数复谱比非线性反演给出了该台站下方１４０ｋｍ深度岩石层的Ｓ波速度结构，得到兰州台下方地壳厚度为５４ｋｓ，岩石层厚度为９４ｋｍ．     

地壳三维构造反演和速度层析成像

本文给出利用空间深地震测深反射资料重建地壳三维构造和速度分布的方法，适用于任意分层并且每层可由若干断块组成的地壳模型。通过采用适当的反演方法获得地壳界面的三维构造，并在此结果基础之上，进一步将剩余走时残差归因于地壳速度的不均匀性，采用东分块的反演方法，重建地壳三维速度分布，数值模拟的结果表明算法是有效的。     

Preliminary study of crust-upper mantle structure of the Tibetan Plateau by using broadband teleseismic body waveforms

As part of a joint Sino-U.S. research project to study the deep structure of the Tibetan Plateau, 11 broadband digital seismic recorders were deployed on the Plateau for one year of passive seismic recording. In this report we use teleseimic P waveforms to study the seismic velocity structure of crust and upper mantle under three stations by receiver function inversion. The receiver function is obtained by first rotating two horizontal components of seismic records into radial and tangential components and then deconvolving the vertical component from them. The receiver function depends only on the structure near the station because the source and path effects have been removed by the deconvolution. To suppress noise, receiver functions calculated from events clustered in a small range of back-azimuths and epicentral distances are stacked. Using a matrix formalism describing the propagation of elastic waves in laterally homogeneous stratified medium, a synthetic receiver function and differential receiver functions for the parameters in each layer can be calculated to establish a linearized inversion for one-dimensional velocity structure. Preliminary results of three stations, Wen-quan, Golmud and Xigatze (Coded as WNDO, TUNL and XIGA), located in central, northern and southern Plateau are given in this paper. The receiver functions of all three stations show clear P-S converted phases. The time delays of these converted phases relative to direct P arrivals are: WNDO 7.9s (for NE direction) and 8.3s (for SE direction), TUNL 8.2s, XIGA 9.0s. Such long time delays indicate the great thickness of crust under the Plateau. The differences between receiver function of these three station shows the tectonic difference between southern and north-central Plateau. The waveforms of the receiver functions for WNDO and TUNL are very simple, while the receiver function of XIGA has an additional midcrustal converted phase. The S wave velocity structures at these three stations are estimated from inversions of the receiver function. The crustal shear wave velocities at WNDO and TUNL are vertically homogeneous, with value between 3.5–3.6 km/s down to Moho. This value in the lower crust is lower than the normal value for the lower crust of continents, which is consistent with the observed strong Sn attenuation in this region. The velocity structure at XIGA shows a velocity discontinuity at depth of 20 km and high velocity value of 4.0 km/s in the midcrust between 20–30 km depth. Similar results are obtained from a DSS profile in southern Tibet. The velocity under XIGA decreases below a depth of 30 km, reaching the lowest value of 3.2 km/s between 50–55 km. depth. This may imply that the Indian crust underthrusts the low part of Tibetan crust in the southern Plateau, forming a “double crust”. The crustal thickness at each of these sites is: WNDO, 68 km; TUNL, 70 km; XI-GA, 80 km. The Chinese version of this paper appeared in the Chinese edition ofActa Seismologica Sinica,14, Supp., 581–592, 1992.     

利用远震接收函数方法研究南海西沙群岛下方地壳结构

利用西沙琛航岛流动地震台站和永兴岛固定地震台站的资料,提取了远震P波接收函数,结合正演和反演方法模拟了台站下方的地壳结构.模拟结果显示:西沙群岛地壳顶部存在2 km厚的新生代低速沉积层,横波速度只有2.0~2.2 km/s;上地壳为一速度梯度带,横波速度由2 km处的3.4 km/s逐渐增加到12 km深度时的3.8 ...     

南海地区地震背景噪声成像与壳幔深部结构

利用南海地区28个陆地地震台站和2个布设于太平岛和东沙岛的新增海岛地震台站2011—2016年间的连续地震背景噪声波形数据,使用互相关方法计算得到了台站间的互相关函数,并提取出Rayleigh面波群速度和相速度频散曲线.采用快速行进和子空间方法反演获得了南海及周边地区12～40s周期的Rayleigh面波群速度和相速度图像,并联合反演得到了研究区深至60km的三维S波速度结构.考虑到南海数千米厚海水层对于面波频散反演的严重影响,本文在反演模型中加入了水层,显著提高了反演结果的可靠性.成像结果表明:南海及周边地区地壳上地幔顶部S波速度结构存在显著的横向不均匀性,并与这一区域的主要构造单元具有较好的空间对应关系.在5～10km深度,莺歌海—宋红盆地区的低速异常特征可能与盆地较厚的沉积层有关.在5～15km深度,海域高速异常区与海盆空间位置具有高度一致性,推测与海盆区地壳厚度相对陆缘区明显偏薄有关.当深度从20km增加至30km,海盆区的高速特征扩展至了陆缘地区,反映了地壳厚度从海盆至陆缘逐渐增厚的趋势,与OBS(海底地震仪)深地震剖面给出的地壳精细结构结果一致.至35～60km深度,海盆的高速异常特征依然明显,且速度值随深度增加整体呈现上升的趋势,推测南海海盆区的岩石圈厚度应该大于60km.     

利用接收函数方法研究四川地区地壳结构

采用接收函数反演和共转换点(CCP)偏移叠加成像方法, 利用四川数字地震台网宽频带的52个区域固定地震台站和布设的两条52个宽频带流动地震观测台站的远震地震波形数据资料, 对四川地区地壳结构进行研究。 结果表明, 四川地区的Moho面深度在青藏高原和四川盆地差异明显, 在川西高原地区地壳厚度为52~68 km, 在川滇地块地壳厚度为50~60 km, 在中地壳内存在不连续的低速层分布; 而在四川盆地地壳厚度为38~45 km, 地壳内没有低速层存在。 Moho面深度从川西高原的60多公里至四川盆地的约40 km, 在二者的交界处龙门山断裂带下面, 存在厚度约30 km左右宽的下降过渡带, 说明其下的Moho面可能受断层影响, 结构比较复杂; 在高原地区的上地壳界面和下地壳上界面比四川盆地的相应界面深; 高原地区在中地壳的上部有不连续的低速层分布, 在松潘—甘孜地块的上地壳下部存在向南东运动的脆性推覆体, 在羌塘—理塘地块的上地壳下部存在向南东和南运动的脆性物质流动。     

华北克拉通地壳三维密度结构与地质含义

利用重力异常揭示地壳三维密度结构是重力资料地质解释的目标和任务,密度反演的好坏至关重要.本文对华北克拉通进行了重力异常多尺度密度反演研究,首先利用小波变换对重力异常进行多尺度分解,接着利用功率谱分析方法估算各层场源的平均深度,然后利用广义密度反演方法进行各层密度反演,对华北地区进行了多层密度反演,得到其密度结构,并进行地质解释和油气藏分析.结果显示了重力场多尺度密度反演方法的有效性,对华北地区密度结构的地质含义进行了初步分析,位于造山带中的低密度异常主要反映沿造山带展布的花岗岩体.对比华北东部区浅层密度扰动与油气坳陷位置,发现油气坳陷都表现为低幅度的低密度异常区.说明利用小波多尺度反演提取的密度信息对油气勘探的部署有一定指导意义.     

新疆北天山中东段呼图壁地区震源深度的重新测定

联合Hyposat法、PTD法和gCAP矩张量反演法,重新测定新疆北天山中东段呼图壁地区2010—2017年502个地震的震源深度,并对震源深度剖面进行初步分析。结果表明,重新测定的震源深度优势分布为15—20km,平均震源深度为16km,呼图壁M_S 6.2地震的震源深度为20km;研究区南部和中部的震源深度集中分布在20km左右,与北天山壳内低速体的层位相当,可能是上地壳和下地壳之间的韧性剪切带存在的部位,起到滑脱层的作用,研究区北部的震源深度则向浅部扩展;呼图壁M_S 6.2地震的发震断裂可能在清水河子断裂下方的1条隐伏反冲断层上,可能是霍尔果斯断裂向前沿断坡冲断受阻而在相反方向上发育分支反冲断层的结果。     

Two-dimensional joint inversion of radiomagnetotelluric and direct current resistivity data

An algorithm for the two-dimensional (2D) joint inversion of radiomagnetotelluric and direct current resistivity data was developed. This algorithm can be used for the 2D inversion of apparent resistivity data sets collected by multi-electrode direct current resistivity systems for various classical electrode arrays (Wenner, Schlumberger, dipole-diplole, pole-dipole) and radiomagnetotelluric measurements jointly. We use a finite difference technique to solve the Helmoltz and Poisson equations for radiomagnetotelluric and direct current resistivity methods respectively. A regularized inversion with a smoothness constrained stabilizer was employed to invert both data sets. The radiomagnetotelluric method is not particularly sensitive when attempting to resolve near-surface resistivity blocks because it uses a limited range of frequencies. On the other hand, the direct current resistivity method can resolve these near-surface blocks with relatively greater accuracy. Initially, individual and joint inversions of synthetic radiomagnetotelluric and direct current resistivity data were compared and we demonstrated that the joint inversion result based on this synthetic data simulates the real model more accurately than the inversion results of each individual method. The developed 2D joint inversion algorithm was also applied on a field data set observed across an active fault located close to the city of Kerpen in Germany. The location and depth of this fault were successfully determined by the 2D joint inversion of the radiomagnetotelluric and direct current resistivity data. This inversion result from the field data further validated the synthetic data inversion results.     

首都圈地区莫霍面起伏及沉积层厚度

利用首都圈数字地震台网宽频带和短周期记录提取了接收函数,用H\|Kappa叠加方法反演得到了台站下方地壳厚度和泊松比.反演结果显示首都圈地区莫霍面的区域构造方向呈北东或北北东向展布,地壳由东南向西北方向逐渐增厚,平均厚度为34 km.地壳泊松比分布呈现出分块的特征,泊松比高值区对应于岩石比较破碎的多条活动断裂带交汇区.而某些地区堆积有较厚的低速松散沉积层,其下的结晶基底介质速度相对较高,因此,该界面造成径向直达P波能量非常弱,而紧随其后的转换波能量较强,称其为首到波峰.通过正演计算,建立首到波峰和直达P波到时差与沉积层厚度的定量关系,从而可根据首到波峰相对于直达P波的时间延迟来快速判定沉积层的大致厚度.     

基于Langston分解和Hilbert变换约束的区域偏量矩张量反演方法及其应用

本文基于Langston的震源机制分解方法以及Minson和Dreger修正后的近场位移的解析解表达式,给出了一种区域纯偏量矩张量的求解方法,方法使用基于Hilbert变换的波形包络作为增强约束．对该方法进行了数值试验. 试验结果表明,定位准确且速度结构已知的情况下,背景高斯噪声水平达30%时,该方法仍可以得到较稳定的解;使用0.01——0.1 Hz的中长周期频段进行反演,在随机震相到时误差最大plusmn;3 s的情况下,近90%的情况可以得到相对准确的解. 速度结构模型的干扰试验表明,平均模型接近真实地壳结构时,可以得到接近真实的解;模型与真实的地壳结构的误差在10%以内时,得到的解与真实解比较接近;误差接近20%时,矩张量解会出现很大的偏差;地震的定位误差主要影响震源深度的判定,从而导致最终解中出现虚假的非双力偶成分,但在约束为偏量矩张量的情况下,反演得到的断层面参数与真实解偏差不大;在台站方位角覆盖较差(＜60deg;)的情况下,使用平均模型仍可以得到较为准确的解．使用该方法研究了2010年10月24日河南周口太康MW4.7地震的震源机制,结果显示矩张量解与初动符号解较为一致．      

逐步波形反演方法及应用

本文针对天然地震波形反演面临的困难及其复杂性，提出了逐步波形反演方法，第一步，运用波形反演中的试错法，求得地震台站下方成层介质的初步结构；第地一步，以第一步结果为初值，令各层厚度不变，反演速度；第三步，以第二步结果为初值，令速度不变，反演厚度。以上各步还可交替进行，直至得到满意结果。     

Waveform inversion of weak vrancea (Romania) earthquakes

Summary The inversion of high-frequency seismograms is performed to retrieve source mechanisms, hypocentral depths and source time functions of two weak Vrancea earthquakes (M_L=3.3), one that occurred in the crust, the other in the lithospheric part of the mantle. The digital waveforms recorded by the local Romanian network are used. Synthetic seismograms are computed by the modal summation method, using the point source approximation, for horizontally layered anelastic media. For each source-to-station path a different structural model is adopted which represents the best 1-D approximation of the medium in this azimuth. Thus, lateral inhomogeneities are taken into account in a simplified way. The source is described by the full moment tensor, allowing both deviatoric and volumetric components to be resolved.Although the structural models are simplified for the range of epicentral distances (15<<<170 km) considered, we find that the fit between the synthetic and observed seismograms is satisfactory for frequencies less than a few Hz. The few P-wave polarities available are not sufficient to determine a reliable source mechanism by standard methods, while the waveform inversion allows us to retrieve source mechanisms that are stable with respect to different boundary conditions and in good agreement with the observed polarities. The source time function is the less stable inverted parameter, being the most influenced by the simplification of the structural models.     

一维垂直各向异性介质频率域海洋可控源电磁资料反演方法

本文提出了一维垂直各向异性(VTI)介质倾斜偶极源频率域海洋可控源电磁(CSEM)资料高斯-牛顿反演方法.在电阻率各向异性介质水平偶极源和垂直偶极源海洋CSEM正演算法的基础上,利用欧拉旋转方法,实现了各向异性介质倾斜偶极源海洋CSEM正演算法.海洋可控源电磁场关于地下介质横向电阻率(ρ_h)和垂向电阻率(ρ_v)的偏导数(即灵敏度矩阵)是解析计算的,结合垂直各向异性介质横向电阻率与垂向电阻率的关系,将各向异性率融入到正则化因子选择中,实现了正则化因子的自适应选择.理论模型合成数据和实测资料反演算例表明,我们提出的反演方法能够较准确的重构海底围岩和基岩的各向异性电阻率以及高阻薄层的埋藏深度、厚度和垂向电阻率.     

利用背景噪声和接收函数研究华北克拉通地壳结构

收集华北克拉通地区188个宽频带流动台站观测资料进行处理.通过背景噪声面波数据和接收函数双重资料约束联合反演,得到了研究区沉积层厚度、地壳厚度及地壳S波速度结构.结果显示:(1)沉积盖层厚度与地质构造相对应,盆地区与隆起区分界明显.(2)研究区地壳厚度变化范围约29~46 km,自西向东逐渐变薄.(3)中、上地壳华北盆地S波速度偏高,可能与新生代以来多次沉降所造成的相对高的岩石强度有关;(4)下地壳S波速度显示研究区主要存在三个低速区,分别是唐山—天津周边、张北及太行山造山带地区;华北盆地存在显著高速异常,推测可能是由于华北盆地经历下地壳拆沉后,大规模的伸展作用相伴随的幔源基性铁镁质岩浆底侵至下地壳结晶所造成的.(5)多个发生过强震的区域表现出沉积层下方存在较大范围的(约10 km)高速体,并且高速体又被其下低S波速度包裹,壳内岩石强度的差异为应力积累及地震发生提供条件.