波动方程初至波多信息联合反演方法

地震初至波中包含着丰富的近地表速度结构信息,如何分阶段、分尺度地利用这些信息进行近地表速度建模是地震勘探中的一个关键问题.在速度反演的不同阶段,综合利用初至波中的不同信息(如走时、包络和波形等)进行联合反演,可以有效地降低反演对初始模型的依赖程度,提高近地表速度模型的反演精度.为此,本文提出了一种统一基于波动方程正演引擎的初至波多信息联合反演方法,该方法同时匹配观测和模拟的初至波走时、包络和波形信息.在不同的反演阶段选择不同的权重因子调节不同信息的权重,这样不仅降低了反演对初始速度模型的依赖,而且自然地实现了多尺度反演.在每轮反演迭代中,一次正演模拟的波场同时应用于初至波走时、包络和波形匹配,无需额外的射线追踪.同时,联合反演方法在一定程度上缓解了串联反演中目标函数漂移问题,提高了近地表速度建模的精度.     

利用瑞雷面波反演华北克拉通东北部边界的岩石圈结构

运用瑞雷面波相速度频散曲线分析和反演得到了华北克拉通东北部边界及其邻近区域岩石圈的精细S波速度结构.利用11个地震事件、60个台站的瑞雷面波波形资料,得到了周期从25-150 S的相速度频散曲线,并且通过线性反演方法得到了深度从40-300 km的S波速度结构.结果表明,该研究区域S波速度存在强烈的不均匀性.从东南部的...     

近地表低速带参数反演

阐明利用瑞雷面波反地表速度和厚度的可行性，并利用地震记录中的瑞雷面波数据，反演近地表低速带的厚度和速度，文中给出了实例试算，结果表明，面波资料的近地表参数反演将有利于勘探目标区的物理参数建模。     

基于伴随方法的线性台阵背景噪声面波和远震体波联合成像研究

伴随层析成像（Adjoint Tomography）通过求解全波方程来准确模拟地震波在复杂介质中的传播,并利用波形信息来反演地下结构,是新一代的高分辨率成像方法.其中3-D伴随层析成像需要庞大的计算资源,而2-D反演相对更具计算效率.面波和远震体波是研究地壳上地幔速度结构的重要方法,它们对S波速度及Moho面的敏感度不同,通过联合反演,可以得到更为准确的S波速度结构及Moho面.通过两种数据的高度互补性,本文提出基于伴随方法的线性台阵背景噪声面波和远震体波联合成像方法,同时约束台阵下方S波速度结构及Moho面形态.我们将该方法应用到符合华北克拉通岩石圈典型结构特征的理论模型上,测试结果表明联合反演方法优势明显,相比于面波伴随层析成像,能获得更高分辨率的S波速度结构,同时能精准约束Moho面形态.相比于体波伴随层析成像,联合反演能有效压制高频假象,降低波形反演过程中的非线性化程度.本研究有望提供一种更为高效精准的线性台阵成像方法,搭建联合伴随层析成像理论框架,提升岩石圈成像分辨率,并为后续其他类型波形数据的引入提供思路和方法.     

利用深反射地震数据构建的多阶面波频散曲线反演近地表横波速度结构——以跨班公湖—怒江缝合带深反射地震资料为例

深反射地震剖面法为了获取深部结构特征常常采取大的偏移距采集数据.目前公开发表的相关资料中,鲜有利用深反射地震炮集数据获取近地表的结构特征.为此,本文通过正演测试了相关数据处理流程,即利用有限差分正演了起伏地表模型的大偏移距地震单炮弹性波场特征,通过共检波点域面波信号F-K频谱叠加构建新方法,从深反射地震数据集中提取了高品质的多阶面波频散曲线,再利用多阶面波联合反演获得了近地表的结构特征.在前述正演流程基础上,利用跨越班公湖—怒江缝合带的SinoProbe深反射地震剖面中的实际炮集数据,求取了基阶和一阶瑞利波频散曲线,联合反演后得到近地表横波速度结构.该结果与初至波走时反演获取的纵波速度结构具有较好的一致性,且在近地表的浅层分辨率较纵波速度结构特征更高,而更与已有地质认识相吻合.本文提供的相关数据处理流程表明利用深反射地震炮集数据,也能够获取近地表浅层的横波速度结构.     

用远震接收函数研究西安地震台台基的一维速度模型

以西安地震台1992年至2000年记录到的853个远震宽频带数字地震记录为基础,利用远震接收函数的方法反演了西安地震台台基的一维速度结构及莫霍面深度,结果表明,西安地震台下的莫霍面深度为39.7 km,P波速度6.59 km/s,P波与S波速度比为1.65.在反演台下一维速度模型时,对接收函数分别进行了算术平均和4次方根的叠加,对这两种不同的叠加得出了相应的反演结果.由于反演结果的非唯一性,在计算的过程中,加入了平滑参数来约束反演结果,并选择了0.2,0.3,0.4等3个平滑约束值,获得了比较理想的台基一维速度模型.     

P波和S波接收函数的贝叶斯联合反演

S波接收函数对于研究岩石圈速度结构具有重要价值. 本文利用合成地震图技术研究了S波接收函数的动力学特征. 在接收函数非线性复谱比反演方法的基础上,发展了基于贝叶斯理论的P波和S波接收函数的非线性联合反演方法. 结果表明:(1)适用于S波接收函数反演的震中距范围约为55°~80°,S波接收函数反演要求所用远震事件的震级大于5级; (2)与陡变的岩石圈底部界面(LAB)相比,梯度带类型LAB上生成的S_LP转换波相对较弱,台站下方的沉积盖层有助于相对增强S_LP震相; (3)由于S波接收函数径向分量不符合δ脉冲,不依赖于等效震源假定的三分量接收函数多道最大或然性反褶积方法更适合S波接收函数的估计;(4)数值检验的结果表明,在初始模型速度参数偏离真实模型20%的情况下,本文的方法能够预测300 km深度范围内的P波和S波速度结构;(5)观测数据的反演结果表明,由于P波接收函数低频分量相对不足,本文的联合反演方法对于大于100 km深度上地幔的S波速度结构约束相对较弱.     

四川宜宾地壳浅部三维S波速度结构及方位各向异性

利用四川宜宾及周边地区布设的30个临时台站连续44天的波形记录,采用背景噪声互相关方法提取了周期为1—15 s的瑞雷面波相速度频散曲线,然后使用基于面波射线路径追踪的瑞雷面波直接成像方法得到0—10 km深度范围内三维S波速度模型,最后利用该模型作为初始模型采用相同的反演框架得到该地区的方位各向异性结构.结果表明:浅层...     

2010年高雄地震震源参数的近远震波形联合反演

本文改进了传统基于近震波形数据的点源震源参数反演的Cut And Paste(CAP)方法,实现了近震Pnl波、面波和远震P波、SH波的联合反演的CAPjoint算法.对2010年3月高雄地震,分别进行单独反演以及联合反演,获得各自的震源机制解及深度,其中联合反演所得的最佳双力偶机制解参数为,节面1:走向317°,倾角36°,滑移角52°,节面2:走向181°,倾角62°,滑移角114°,深度为21 km.并对不同震中距波形对本次地震以及几种典型机制解断层几何参数的敏感性进行测试.为验证联合反演方法的可靠性,本文采用重抽样思想发展而来的Bootstrap方法,对近震数据的子集及其与远震数据的联合反演所得的参数进行统计,验证了在稀疏近台条件下联合反演中添加远震数据对地震震源参数约束的作用.     

天然地震频率范围内首都圈地区近地表S波速度结构

近地表沉积层的S速度结构是强地面震动模拟和地震灾害估计的重要参数,尤其是浅部的S波速度结构在工程上具有重要的应用意义.目前大部分资料来源于工程钻孔或工程地震探测,很少有地震波频率范围内的S波速度结构,或者深度达数百米的S波速度结构.通过对天然地震的井下摆波形记录的分析,提供了一种测量地震波频率范围深达数百米的S波速度的有效方法.收集了首都圈地区44个井下摆的近震记录,利用广义射线方法确认了直达S波及其在地表的反射波震相,并通过测量不同台站上两个震相的到时差,获得了首都圈地区浅层100—500m深度范围的S波速度结构.研究发现,浅部100m的平均S波速度低于300m/s.当深度增加到500m时S波速增加到800m/s,平均速度梯度为0.8(m/s)/m.研究结果表明,井下摆地震记录波形是研究沉积盆地浅层S波结构的重要资料,将为沉积盆地的强地面震动模拟提供重要基础参数.     

P‐wave velocity distribution in basalt flows of the Enni Formation in the Faroe Islands from refraction seismic analysis

The main objective of this work is to establish the applicability of shallow surface‐seismic traveltime tomography in basalt‐covered areas. A densely sampled ～1300‐m long surface seismic profile, acquired as part of the SeiFaBa project in 2003 ( Japsen et al. 2006 ) at Glyvursnes in the Faroe Islands, served as the basis to evaluate the performance of the tomographic method in basalt‐covered areas. The profile is centred at a ～700‐m deep well. V_P, V_S and density logs, a zero‐offset VSP, downhole‐geophone recordings and geological mapping in the area provided good means of control. The inversion was performed with facilities of the Wide Angle Reflection/Refraction Profiling program package ( Ditmar et al. 1999 ). We tested many inversion sequences while varying the inversion parameters. Modelled traveltimes were verified by full‐waveform modelling. Typically an inversion sequence consists in several iterations that proceed until a satisfactory solution is reached. However, in the present case with high velocity contrasts in the subsurface we obtained the best result with two iterations: first obtaining a smooth starting model with small traveltime residuals by inverting with a high smoothing constraint and then inverting with the lowest possible smoothing constraint to allow the inversion to have the full benefit of the traveltime residuals. The tomogram gives usable velocity information for the near‐surface geology in the area but fails to reproduce the expected velocity distribution of the layered basalt flows. Based on the analysis of the tomogram and geological mapping in the area, a model was defined that correctly models first arrivals from both surface seismic data and downhole‐geophone data.     

综合近震及远震波形反演2006文安地震(Mw5.1)的震源机制解

2006年7月4日,在距离北京100 km左右的文安地区,发生了M_w=5.1级地震,引起了北京地区的强烈震感.为了更好的认识区域构造,我们利用近震及远震波形反演的方法得到了此次文安地震的震源机制.选择了北京数字地震台网的9个地震台,震中距小于600 km,台站的方位角覆盖较好.为了更好地利用信号相对较弱的P波信号,对于一个地震记录,本文分别截取出P波和面波两个部分,分别给予不同的权重进行反演,结合格点搜索的方法,得到了与记录P波及面波三分量对应较好的地震的方位角、倾角和滑移角.同时考虑到北京西北地区地壳较厚,本文在利用F-K方法计算近震理论波形的时候,对不同的方位角,采用了不同的地壳速度模型.随后结合远震信号中的直达P、pP、sP波形得到了分辨率较高的地震震源深度.反演结果表明,此次文安地震是一个较为典型的走滑型地震,方位角为210°,倾角80°,滑移角-150°,地震的深度为14~15 km,地震的震级为(M_w=5.1).反演结果与断层的几何分布、余震分布及北京地区北北东向应力场有很好的一致性.     

Ore-body imaging by crosswell seismic waveform inversion: A case study from Kambalda,Western Australia

Seismic P waveforms from a hardrock crosswell experiment were inverted for the velocity distribution between boreholes. The inversion was carried out by an iterative source estimation scheme in the frequency domain. Six frequencies in the range 900–2000 Hz were employed to yield a tomogram which closely matches the known geology, and clearly discloses the nickel sulphide mineralization. The waveform inversion is superior to traveltime tomography, which was used to obtain the starting model. Pre-processing, to isolate the direct P arrivals, is critical to the success of the method, because noise in the form of tube wave-to-body-wave conversions in the source hole, and body wave-to-tube wave conversions in the receiver hole complicate the seismograms and cannot be satisfactorily accommodated in the wavefield modelling. Such noise also precludes a successful migration. Even though the very fine detailed velocity structure cannot be fully recovered using just the first arrival full waveform, it remains a viable and useful approach.     

Group-velocity tomography and lithospheric S-velocity structure of the South American continent

The lithosphere of the South American continent has been studied little, especially in northern Brazil (the Amazonian region). A 3D lithospheric S-velocity model of South America was obtained by first carrying out Rayleigh and Love wave group-velocity tomography, and then inverting the regionalized dispersion curves. Fundamental mode group velocities were measured using a Multiple Filtering Technique. More than 12,000 paths were examined and about 6000 Rayleigh- and 3500 Love-wave dispersion curves with good quality were retrieved. Checkerboard tests showed that our dataset permits the resolution of features 400-800 km across laterally in the central part of the continent from crustal to upper mantle depths. Our results confirm previous tomographic results and correlate well with the major geological provinces of South America. The 3D S-velocity model confirms both regional features of SE Brazil from P-wave travel-time tomography and continental-scale features of central and western South America from waveform inversion, e.g., lowest velocities in the Andean upper mantle; three parts of the Nazca plate with flat subduction; strong low-velocity anomalies in the upper-mantle depth beneath the Chaco basin. Furthermore, our 3D model revealed new features in the South American continent: (1) high velocities in the lower crust were consistently found in regions with high Bouguer or free-air anomalies; (2) the NE-SW trending TransBrasiliano shear zone was delineated by a NE-SW low-velocity belt at lithospheric depths; (3) the eastern Amazonian craton appears to have thicker lithosphere than the western craton; (4) in areas of Archean nuclei located in the northeastern Guaporé shield and southeastern São Francisco craton, high velocity anomalies were found down to 150 km.     

Regularized inversion of amplitude-versus-incidence angle (AVA) based on a piecewise-smooth model

Different from the stacked seismic data, pre-stack data includes abundant information about shear wave and density. Through inversing the shear wave and density information from the pre-stack data, we can determine oil-bearing properties from different incident angles. The state-of-the-art inversion methods obtain either low vertical resolution or lateral discontinuities. However, the practical reservoir generally has sharp discontinuities between different layers in vertically direction and is horizontally smooth. Towards obtaining the practical model, we present an inversion method based on the regularized amplitude-versus-incidence angle (AVA) data to estimate the piecewise-smooth model from pre-stack seismic data. This method considers subsurface stratum as a combination of two parts: a piecewise smooth part and a constant part. To fix the ill-posedness in the inversion, we adopt four terms to define the AVA inversion misfit function: the data misfit itself, a total variation regularization term acting as a sparsing operator for the piecewise constant part, a Tikhonov regularization term acting as a smoothing operator for the smooth part, and the last term to smoothly incorporate a priori information for constraining the magnitude of the estimated model. The proposed method not only can incorporate structure information and a priori model constraint, but also is able to derive into a convex objective function that can be easily minimized using iterative approach. Compared with inversion results of TV and Tikhonov regularization methods, the inverted P-wave velocity, S-wave velocity and density of the proposed method can better delineate the piecewise-smooth characteristic of strata.     

Bayesian prestack seismic inversion with a self-adaptive Huber-Markov random-field edge protection scheme

Seismic inversion is a highly ill-posed problem, due to many factors such as the limited seismic frequency bandwidth and inappropriate forward modeling. To obtain a unique solution, some smoothing constraints, e.g., the Tikhonov regularization are usually applied. The Tikhonov method can maintain a global smooth solution, but cause a fuzzy structure edge. In this paper we use Huber-Markov random-field edge protection method in the procedure of inverting three parameters, P-velocity, S-velocity and density. The method can avoid blurring the structure edge and resist noise. For the parameter to be inverted, the Huber- Markov random-field constructs a neighborhood system, which further acts as the vertical and lateral constraints. We use a quadratic Huber edge penalty function within the layer to suppress noise and a linear one on the edges to avoid a fuzzy result. The effectiveness of our method is proved by inverting the synthetic data without and with noises. The relationship between the adopted constraints and the inversion results is analyzed as well.     

基于Hinge损失函数的垂向全变差约束全波形反演

全波形反演可以为叠前深度偏移成像提供更高精度的速度模型,但该方法具有较强的非线性,对初始速度模型的依赖性较强,尤其是在实际应用中,地质条件复杂多变,速度变化不连续,增加了反演非线性程度,常常使反演陷入局部极小值,影响反演的精度.全变差约束在图像去噪领域应用广泛,属于非光滑约束,在去噪过程中能有效的保留图像的不连续界面和边缘信息.本文提出基于Hinge损失函数的垂向全变差约束全波形反演方法,在全变差约束的基础上,利用Hinge损失函数控制模型的更新方向,并使用原-对偶混合梯度算法进行求解,给出这一优化问题的迭代格式,有效提高了对地下不连续界面的重构精度,同时也降低反演对初始速度模型的依赖程度.数值算例证明：与常规全波形反演方法相比,基于全变差约束的全波形反演方法可以有效的重构速度模型中的不连续界面,尤其对高速体边缘的重构效果更明显,但该方法对初始速度模型的依赖性仍然较强;基于Hinge损失函数的垂向全变差约束全波形反演方法降低了对初始速度模型的依赖程度,可以从一个较差的初始模型通过循环迭代的方式最终得到同样精确的速度模型,较好的重构了高速体边缘和不连续界面.     

伪二维弹性波联合反演近地表的速度和衰减

利用弹性波的初至波和面波,应用交叉梯度算子,联合反演了近地表的二维纵横波速度和衰减参数,并提出了采用一维弹性波正演模拟,应用二维Tikhonov正则化,同时反演出二维速度模型和衰减模型的方法。理论模型测试和实际数据应用结果均表明本文算法极大地提高了计算效率,同时能够反演出可靠的速度模型和衰减模型。      

微动多阶瑞雷波SPAC系数反演方法及应用研究

为充分利用微动信号中基阶和高阶模式瑞雷波,本文研究了基于多阶瑞雷波SPAC系数直接反演的方法.该方法首先基于地层介质响应计算多阶瑞雷波的能量占比,考虑实际观测台阵有限台站个数对SPAC系数影响,正演计算多阶瑞雷波SPAC系数,再采用快速模拟退火算法对其反演以获得地下介质横波速度结构.在此基础上,本文通过数值模拟验证该方法的可靠性,分别选取三种典型地质模型,基于模式叠加算法合成理论微动信号,采用本文方法计算其理论多阶瑞雷波SPAC系数并反演,给出反演结果与真实模型对比.我们将该方法应用于上海中心城区的地质调查中,通过与钻探结果对比,进一步验证该方法的有效性.本文理论与实际应用研究表明,基于多阶瑞雷波SPAC系数直接反演的微动探测方法有助于提高反演结果的可靠性,尤其对含软硬夹层的复杂地层介质,可提高探测精度.