Large-scale 3-D Gravity Analysis of the Inhomogeneities in the European-Mediterranean Upper Mantle

—Methods and the results of estimating the anomalies characterising the density inhomo geneities in the European-Mediterranean upper mantle are described. These anomalies were obtained by subtracting the gravity effect of a crustal density model derived from seismic velocities from the observed gravity field averaging over an area of 1°× 1°. The 3-D density model of the study region comprises two regional layers of varying thickness with lateral variation of average density the sedimentary cover and the crystalline crust. The average densities for model layers were evaluated by using a velocity/density conversion function and taking into account sediment consolidation with depth. Clear correlation between residual gravity anomalies and both velocity heterogeneities and thermal regime data of the upper mantle has been revealed. An agreement of positive anomalies over the Alps, the Adriatic plate and the Calabrian Arc with high velocity domains in the upper mantle and reduced temperatures at the subcrustal layer are caused by lithospheric "roots" and thickened lithosphere below these structures. Gravity residual lows, revealed over the Western Mediterranean Basin and Pannonian Basin, are in correspondence with both low velocities and high temperatures in the upper mantle. These anomalies are the result of the presence of asthenosphere in shallow near-Moho depths below these basins.     

临汾强震区地壳结构及发震背景研究

以诸城—宜川深地震测深速度剖面为约束, 对沿该剖面得到的高精度重力数据进行拟合, 并对临汾强震区平面布格重力异常进行处理, 得到了该地区地壳密度结构及平面重力异常分布． 利用上述结果分析了临汾强震区的地壳结构及构造环境, 结合前人相关研究成果, 认为临汾强震区地壳中存在塑性相对较强的介质, 洪洞和临汾两次历史地震皆发生在其与周边弹性介质的转换边界上． 另外, 临汾凹陷南北两侧局部构造环境存在差异, 在区域应力场作用下, 导致了洪洞地震和临汾地震的发生. 两次地震在发震时间、 地点和震级等地震要素上有所不同．      

密度和速度随机分布共网格模型的重力与地震联合反演

针对重力与地震联合反演存在的问题,结合已有的研究成果,本文研究实现了速度和密度随机分布共网格单元模型的建模技术,以适应密度和速度剧烈变化的复杂模型及联合反演的计算要求.重力正演利用了该网格的二度半体模型,并进一步改进了地震走时的二维射线追踪计算方法,以适用于速度随机分布的网格介质.结合改进的模拟退火算法,实现了这种共网格条件下的重力与地震资料的同步联合反演.模型试验证明了重力与地震联合反演可以准确确定复杂物性界面的密度和速度结构,适用于物性界面不完全一致和物性变化剧烈的复杂模型,并且联合反演结果要优于单独的重力反演.带先验信息约束下的实际资料的联合反演,进一步证明了该方法的适用性和效果,可提高反演精度并减少多解性.     

Gravity effect calculation of three-dimensional linear density distribution and its application

An algorithm for calculating gravity effect of three-dimensional (3D) linear density distribution is presented in this paper. The linear continuous density distribution is represented with 3D grid model, which has a resemblance to the velocity model used in some seismic tomography codes. The consensus in representation method of density model and velocity model facilitates the seismic-gravity-integrated interpretation or simultaneous inversion. The numerical test of synthetic data shows that although the analytical gravity formula for linear density distribution is more complex than that for piecewise constant density distribution, it takes less time to calculate the gravity effect with linear density model than that with piecewise constant density model. In addition, this method is used in the integrated interpretation of 3D seismological tomography and gravity data in Dabie Mountain area.     

The free mantle surface-new possibilities to reveal subcrustal inhomogeneities from the structure of the earth's crust

If crustal material (including water in oceanic areas) is compressed to the mean density of the subcrustal layer, the surface of the body can be considered as a free mantle surface (FM)). Joint analysis of FMS and of gravity anomalies may reveal density inhomogeneities of the material between the Moho and the surface of isostatic compensation in the astenosphere, and may more precisely define the position of the material providing isostatic compensation of crustal inhomogeneities. The depth of FMS can be determined by using seismic refraction data and an empirical velocity-density relationship. 300 seismic refraction determinations of the Pacific Ocean crust structure and deep seismic sounding profiles crossing different tectonic units of the USSR territory have been employed for the FMS depth determination. It is shown that the subcrustal layer under oceanic basins is very homogenous (FMS depth 4.6 ± 0.1 km). Shallow depths to FMS (2.6 km) is a characteristic feature of the mid-oceanic rise indicating a low density of the subcrustal material. Very significant inhomogeneities were revealed in deep-trench island-arc marginal-basin systems. The relationship between the FMS depth and age of tectonic stabilization was found for the continental areas. The density of the subcrustal layer (or thickness of the lithosphere) is higher under areas with the more ancient crust. The role of the subcrustal layer inhomogeneities in isostatic compensation has been elucidated.     

Gravity Anomalies of 2.5-D Multiple Prismatic Structures with Variable Density: A Marquardt Inversion

We present an inversion technique based on the Marquardt algorithm to estimate the depth of a 2.5-D sedimentary basin in addition to the regional gravity anomaly that is associated with the residual gravity anomaly, wherein the density contrast varies parabolically with depth. Forward modeling is carried out through a derived analytical gravity expression of a 2.5-D vertical prism. Inversion of a theoretical gravity anomaly with and without a regional gravity anomaly illustrates the procedure that it is found to be insensitive to the regional gravity effect. Furthermore, the algorithm is exemplified with the gravity anomalies of the derived density-depth model of the Godavari subbasin, India with a parabolic density profile resulting in a more consistent geological model rather than a constant density profile. The main advantage of this method is that it works well even when the profile of interpretation does not bisect the strike length of the sedimentary basin.     

储层重力密度反演后验约束正则化方法

本文针对蒸汽辅助重力泄油(SAGD)生产中开发监测问题,发展了综合应用地震及重力数据反演储层密度的联合反演算法.通过测井数据建立纵波阻抗与密度的直接关系,并推导出这种关系下重力与纵波阻抗数据联合反演的计算方法,从而计算出蒸汽腔体密度分布规律.文中应用密度反演后验约束正则化方法,采用Tikhonov正则化模型,通过波阻抗数据作为约束进行联合反演,在算法上提高了稳定性,同时得到较高的反演精度.文中对SAGD生产中的理论模型进行了方法试算,并分析了算法的误差,最终应用于SAGD生产的实际数据中,通过最终反演结果分析,该方法取得了很好的应用效果.     

Construction of regional and local seismic anisotropic structures from wide-angle seismic data: crustal deformation in the southeast of China

We present a method to obtain spatial distributions of seismic anisotropy associated with regional stress and local faulting in the crust from wide-angle seismic data. The method contains three steps. The first step consists of obtaining radial- and transverse-component seismic sections using a pre-stack depth migration algorithm from the S-wave velocity model determined by conventional interpretation of picked intra-crustal seismic events. In the second step, we compute time delays between split shear-waves and polarizations of fast split shear-waves by minimizing the transverse-component seismic energy. The time delay and polarization in each layer are derived using a layer-stripping method. The final step is to estimate the average splitting parameters along the whole profile. Thus, the average time delay and polarization can be regarded as caused by the effects owing to regional structure and stress fields, whereas the residual values of the splitting parameters are considered to be related to local structures and local faulting. Our method allows us to construct multi-layer anisotropic images, which may later be interpreted in terms of intra-layer coupling/decoupling or deformation. We present results from a set of three-component seismic data acquired by a controlled source experiment in the southeast region of China. The results demonstrate that the average polarizations and time delays are consistent with the direction and strength of the stress field, and their lateral variations related to local anisotropy match the spatial distribution of surface faulting crossing the acquisition seismic profile.     

Crustal structure in Dabieshan UHP metamorphic belt and its tectonic implication

IntroductionGeologistsfirstlyfoundcoesite-bearingecologitesattheendof1980'sandthenthemicrodiamond(Xu,elal,1992)inDabieshanarea.Theultra-highpressure(UHP)metamorphismandthegeodynamicprocessesofDabieorogenhaveattractedmanygeoscientists(Wang,etal,1989,O...     

重震反演中国东北地壳上地幔三维密度结构

本文利用重力和地震P波到时数据反演得到了中国东北地区地壳上地幔三维密度结构.与单一的重力或地震反演相比,重震反演一方面有效地克服了重力反演结果垂向分辨率低的问题,另一方面也提高了地震反演结果的可靠性.结果显示:中国东北地区的地壳及上地幔剩余密度异常分布与构造单元具有明显的相关性,造山带对应低密度异常,盆地对应高密度异常;区域内火山下方有明显的低密度体存在,可能是由于太平洋板块俯冲进入上地幔并部分滞留,在滞留板块深部脱水和软流圈热物质共同作用下产生了上涌岩浆,喷发后形成了火山.     

Non‐linear stochastic inversion of gravity data via quantum‐behaved particle swarm optimisation: application to Eurasia–Arabia collision zone (Zagros,Iran)

Potential field data such as geoid and gravity anomalies are globally available and offer valuable information about the Earth's lithosphere especially in areas where seismic data coverage is sparse. For instance, non‐linear inversion of Bouguer anomalies could be used to estimate the crustal structures including variations of the crustal density and of the depth of the crust–mantle boundary, that is, Moho. However, due to non‐linearity of this inverse problem, classical inversion methods would fail whenever there is no reliable initial model. Swarm intelligence algorithms, such as particle swarm optimisation, are a promising alternative to classical inversion methods because the quality of their solutions does not depend on the initial model; they do not use the derivatives of the objective function, hence allowing the use of L₁ norm; and finally, they are global search methods, meaning, the problem could be non‐convex. In this paper, quantum‐behaved particle swarm, a probabilistic swarm intelligence‐like algorithm, is used to solve the non‐linear gravity inverse problem. The method is first successfully tested on a realistic synthetic crustal model with a linear vertical density gradient and lateral density and depth variations at the base of crust in the presence of white Gaussian noise. Then, it is applied to the EIGEN 6c4, a combined global gravity model, to estimate the depth to the base of the crust and the mean density contrast between the crust and the upper‐mantle lithosphere in the Eurasia–Arabia continental collision zone along a 400 km profile crossing the Zagros Mountains (Iran). The results agree well with previously published works including both seismic and potential field studies.     

攀西地区重力场特征及地壳密度结构

攀西地区位于峨眉山大火成岩省中西部,构造和岩浆特征显著,地震活动强烈.通过对野外重力测量得到的云县—会东和普洱—七甸两条剖面的高精度重力观测数据进行处理和分析,构建了沿剖面的二维地壳密度结构,其中普洱—七甸剖面与孟连—马龙宽角地震剖面部分位置重合.同时结合区域重力异常特征及下地壳视密度填图结果,得到如下初步认识:红河断裂带是南北地震带南段地区重要的构造分界线,断裂带南北向密度结构和莫霍面分布形态存在较大差异,沿走向构造变化.云县—会东剖面上大姚—会东段下地壳底部存在密度较高的壳幔过渡层,结合研究区下地壳底部壳幔过渡层的密度分布特征,认为该过渡层不是攀西裂谷下的"裂谷垫",而是由岩浆底侵作用造成的.     

INTERPRETATION OF GRAVITY ANOMALIES BY NON-LINEAR OPTIMISATION*

The interpretation of a gravity anomaly in terms of the shape of the anomalous body is a non-linear problem and may, therefore, be carried out using non-linear optimisation techniques. The formulation is extended to include cases where the density contrast and the regional background are also unknown. For a given model the objective function is provided by the discrepancy between the observed anomaly and the calculated anomaly due to the model. Given an initial model, the optimisation procedure searches for a minimum of the objective function by an iterative adjustment of the parameters. A number of suitable objective functions is given. The behaviour of these functions in the parameter hyperspace is quite complex. Accordingly, direct search methods should be employed at the early stages of the search, changing to gradient methods at later stages. The use of constraints is also necessary to ensure the geological feasibility of the model. The required computer time may be largely reduced by careful programming. Two examples of interpretation by optimisation methods are given.     

南北地震带南段地壳厚度重震联合最优化反演

重力反演方法是研究地壳结构和物性界面起伏的有效地球物理手段之一.本文收集了南北地震带南段67个已有的固定台站接收函数反演的Moho面深度结果,并使用基于EGM2008重力异常模型计算的布格重力异常,验证了本文提出的重震联合密度界面反演方法的有效性.利用接收函数对台站下方Moho面深度估计作为先验约束,定义了一类评价函数,通过对重力反演算法中尺度因子,平移因子和稳定性因子的最优选择,最小化重力反演结果与接收函数模型之间的差异.结果表明,本文提出的方法,可以有效地同化不同地球物理方法获得的反演模型,且通过重震联合反演可以改进由于对空间分布不均匀的接收函数结果插值可能而引起的误差.本文还通过引入Crust1.0的Moho面深度为初值,同时考虑地壳密度的横向不均匀分布,通过模型之间的联合反演有效改善了地球物理反演模型间的不一致性问题.本文反演得到的最优化Moho面深度模型与已知67个台站位置接收函数模型之间的标准差约1.9km,小于Crust1.0与接收函数结果模型之间标准差为3.73km的统计结果.本文研究结果对于同化重震反演结果、精化地壳密度界面模型,都具有十分重要的参考意义.     

Comparing the performances of four stochastic optimisation methods using analytic objective functions, 1D elastic full‐waveform inversion,and residual static computation

We compare the performances of four stochastic optimisation methods using four analytic objective functions and two highly non‐linear geophysical optimisation problems: one‐dimensional elastic full‐waveform inversion and residual static computation. The four methods we consider, namely, adaptive simulated annealing, genetic algorithm, neighbourhood algorithm, and particle swarm optimisation, are frequently employed for solving geophysical inverse problems. Because geophysical optimisations typically involve many unknown model parameters, we are particularly interested in comparing the performances of these stochastic methods as the number of unknown parameters increases. The four analytic functions we choose simulate common types of objective functions encountered in solving geophysical optimisations: a convex function, two multi‐minima functions that differ in the distribution of minima, and a nearly flat function. Similar to the analytic tests, the two seismic optimisation problems we analyse are characterised by very different objective functions. The first problem is a one‐dimensional elastic full‐waveform inversion, which is strongly ill‐conditioned and exhibits a nearly flat objective function, with a valley of minima extended along the density direction. The second problem is the residual static computation, which is characterised by a multi‐minima objective function produced by the so‐called cycle‐skipping phenomenon. According to the tests on the analytic functions and on the seismic data, genetic algorithm generally displays the best scaling with the number of parameters. It encounters problems only in the case of irregular distribution of minima, that is, when the global minimum is at the border of the search space and a number of important local minima are distant from the global minimum. The adaptive simulated annealing method is often the best‐performing method for low‐dimensional model spaces, but its performance worsens as the number of unknowns increases. The particle swarm optimisation is effective in finding the global minimum in the case of low‐dimensional model spaces with few local minima or in the case of a narrow flat valley. Finally, the neighbourhood algorithm method is competitive with the other methods only for low‐dimensional model spaces; its performance sensibly worsens in the case of multi‐minima objective functions.     

Crustal structure in the Falcón Basin area, northwestern Venezuela, from seismic and gravimetric evidence

The Falcón Basin in northwestern Venezuela has a complex geological history driven by the interactions between the South American and Caribbean plates. Igneous intrusive bodies that outcrop along the axis of the basin have been associated with crustal thinning, and gravity modeling has shown evidence for a significantly thinned crust beneath the basin. In this study, crustal scale seismic refraction/wide-angle reflection data derived from onshore/offshore active seismic experiments are interpreted and forward-modeled to generate a P-wave velocity model for a 450 km long profile. The final model shows thinning of the crust beneath the Falcón Basin where depth to Moho decreases to 27 km from a value of 40 km about 100 km to the south. A deeper reflected phase on the offshore section is interpreted to be derived from the downgoing Caribbean slab. Velocity values were converted to density and the resulting gravimetric response was shown to be consistent with the regional gravity anomaly. The crustal thinning proposed here supports a rift origin for the Falcón Basin.     

渤海湾地区壳幔结构重磁综合研究

渤海湾盆地是华北克拉通破坏的中心,其东部渤海海域深部结构研究对认识华北克拉通破坏范围及动力学过程具有重要意义.为此,本文选取自河北新城经天津静海沿东南方向进入渤海海域的剖面进行重磁反演,研究其地壳结构特征.通过对该地区文献调研及2010年渤海海陆联测初步结果建立初始模型,结合本地区密度、磁化率特征进行二度半体重磁异常反...     

南海北部白云凹陷深水油气区的重-震数据处理与分析

白云凹陷位于南海北部陆缘深水地带,是我国深水油气资源勘探的重要地区。开展重-震成像研究,是分析该区烃源岩分布特征、大型构造圈闭、成藏层系与储层条件的重要方法。本文通过重力异常、地震Vs波速结构模型及地震勘探剖面分析,获得研究区自由空间重力异常、布格重力异常、水平和垂向梯度、密度反演图像、Vs波速度结构图像以及高分辨率地震勘探剖面图像。重力图像揭示:白云凹陷中心的强负值异常图像与较厚沉积和基底起伏有关;凹陷东侧相对高正值局部重力圈闭与中生代残余地层有关;凹陷北侧条带状正异常则与陆坡向洋盆过渡时基底下凹有关。白云凹陷的主凹陷和南凹陷存在明显的层状负剩余密度或相对低密度区,是有利的含油气层位。地震图像揭示:白云凹陷由北向南存在明显的细颈化带、外缘隆起带、洋陆过渡带等结构。在陆缘地壳强烈伸展薄化期间,白云凹陷形成大型三角洲-湖相烃源岩沉积环境的凹陷结构,沉积物源主体来自北侧。随着地壳强烈减薄的细颈化,凹陷出现明显的台阶式沉陷,导致陆架坡折带由南向北迁移,形成陆架边缘三角洲、深水重力流水道和深水扇等有利的储层。高分辨率地震资料获取的地震勘探剖面图像上,可以识别出许多浅层气运移通道,表明白云凹陷丰富的中、浅层气大多来源于深部地层。      

地震-重力联合反演及效果——以天津-北京-赤城地震探测剖面为例

充分运用地震与重力场不同方法的优点,以天津-北京-赤城高精度、高分辨率人工地震探测剖面(DSS)为例,采用地震解释模型结果为约束,通过正反演拟合,获得剖面上密度结构,再对剖面两侧地震解释的模型结果重新进行拟合修正.实践表明,用重力-地震相互约束开展联合反演,可以克服单一方法存在的缺陷和不足,使获得的结果更接近研究区的实...     

Subcrustal Low Velocity Layers in Central India and their Implications

A 2-D subcrustal velocity model for the central Indian continental lithosphere has been derived by travel time and relative amplitude modeling of a digitally normalized analog seismic record section of the Hirapur-Mandla DSS profile, using a ray-tracing technique. Some prominent wave groups with apparent velocities slightly higher than the Moho reflection phase (P_MP) are identified on the normalized record sections assembled with a reduction velocity of 6 km s⁻¹. We interpret these phases as the wide-angle reflections from subcrustal lithospheric boundaries. Comparison of synthetic seismograms with the observed record section shows that the observed phases cannot be explained either by multiples or by the P-to-S converted phase (P_MS) from the Moho. Subcrustal velocity models either with a velocity increase or with a single low velocity layer (LVL) also do not provide a satisfactory fit. We infer that a subcrustal velocity model with two alternate LVLs (velocity 7.2 km s⁻¹), separated by a 6-km thick high velocity layer (velocity 8.1 km s⁻¹), can satisfy both the observed travel times and amplitudes. The prominent reflection phases are modeled at depths of 49, 51, 57 and 60 km. It is inferred that the subcrustal lithosphere in the central Indian region has a lamellar structure with varying structural and mechanical properties. The alternating LVLs, occurring at relatively shallow depths below Moho, may be associated with the zones of weakness and lower viscosity suggesting continued mobility, with a possible thermal source in the upper mantle. This explains the source of observed high heat flow values in the central Indian region.