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1.
Zhenghui Gao Jianguo Sun Hui Sun Xu Sun Ping Yu Mingchen Liu 《Studia Geophysica et Geodaetica》2017,61(3):575-586
In the past, prestack Gaussian beam migration adopted the steepest descent approximation to reduce the dimension of the integrals and speed up the computation. However, the simplified formula by the steepest descent approximation was still in the frequency domain, and it had to be evaluated at each frequency. To solve this problem, we present a fast algorithm by changing the order of the integrals. The innermost integral is regarded as a two-dimensional continuous function with respect to the real part and the imaginary part of the total traveltime. A lookup table corresponding to the value of the innermost integral is constructed at the sampling points. The value of the innermost integral at one imaging point can be obtained through interpolation in the constructed lookup table. The accuracy and efficiency of the fast algorithm are validated with the Marmousi dataset. The application to the Sigsbee2A dataset shows a good result. 相似文献
2.
The magnetic map of Slovakia used in the paper was compiled as part of a project titled Atlas of Geophysical maps and profiles in 2001. The residual magnetic data were analyzed to produce Curie point estimates. To remove distortion of magnetic anomalies
caused by the Earth’s magnetic field, reduction to pole transformation was applied to the magnetic anomalies using the magnetization
angle of the induced magnetization. Anomalies reduced to the pole tend to be better correlated with tectonic structures. We
applied a 3-km upward continuation to the residually compiled magnetic anomalies in order to remove effects of topography.
The depth of magnetic dipoles was calculated by an azimuthally averaged power spectrum method for the entire area. Such estimates
can be indicative of temperatures in the crust, since magnetic minerals lose their spontaneous magnetization according to
Curie temperature of the dominant magnetic minerals in the rocks. The computed Curie point depths in the Slovakia region vary
between 15.2 km and 20.9 km. Heat flow higher than 100 mWm−2 occurs at the central volcanics and eastern part of Slovakia, where the Curie point depths values are shallow. The correlation
between Curie point depths, heat flow and crust depth was investigated for two E-W cross sections. Heat flow and Curie point
depth values are correlated with each other however, these values could not be correlated with crust depth. The Curie point
isotherm, which separates magnetic and non-magnetic parts of the crust, is represented in two cross sections. 相似文献
3.
Z. FAJKLEWICZ 《Geophysical Prospecting》1983,31(5):748-765
Microgravity can be used for predicting rock bursts. For the first time gravity anomalies related to rock bursts have been recorded. The methodology developed has lead to the first successful predictions. The depth of the rock-burst focus might be determined on the basis of analytical downward continuation of related gravity anomalies: the focus is treated as a singular point of the gravity potential and its derivatives. The rock-burst gravity anomalies might be explained on the basis of the assumed dilatancy process that causes the rock burst. The mean density change of the rock mass threatened with rock bursts can be estimated from the corresponding rock-burst gravity anomalies. 相似文献
4.
This paper focuses on one particular way of linear filtering the gravity data to facilitate gravity inversion or interpretation. With the use of integral transforms the gravity anomalies are transformed into new quantities that allow an easier interpretation with the help of pattern recognition. As the integral transforms are in fact filters, and as the regions of integration are caps with a variable radius, which can be systematically changed as a free parameter, we refer to such methodology as the truncation filtering. Such filters may be understood as weighted spherical windows moving over the surface, on which the gravity anomaly is defined, the kernel of the transform being the weight function. The objective of this paper is to define and deploy the truncation filtering for a planar model, i.e. for a homogenous horizontally infinite layer with embedded anomalous masses, and for a spherical model, i.e., for a homogenous massive sphere with embedded anomalous masses. Instead of the original gravity anomaly, the quantities resulting from the truncation filtering are interpreted/inverted. As we shall see, this approach has certain benefits. The fundamental concept of the truncation filtering methodology is demonstrated here in terms of the model consisting of one point mass anomaly.The relationship between the depth of the point mass and the instant of the onset of the dimple pattern observed in sequences produced by truncation filtering the synthetic gravity data generated by point masses is, for both the planar and spherical models, compiled by computer simulations, as well as derived analytically. It is shown, that the dimple pattern is a consequence of truncating the domain of the filter and is free of the choice of the kernel of the filter. It is shown, that in terms of the mean earth and depths of point masses no greater than some 100 km the spherical model may be replaced by a planar model from the perspective of the truncation filtering methodology. It is also shown, that from the viewpoint of the truncation filtering methodology the rigorous gravity anomaly may be approximated by the vertical component of the gravity disturbance. The relationship between the instant of the dimple onset and the depth of the point mass thus becomes linear and independent of the magnitude (mass) of the point mass. 相似文献
5.
提出一个新的带通滤波器——延拓回返垂直二次导数,该滤波器可通过调节延拓回返高度及次数来达到调频目的,以突出勘探目标层段的信息.利用该技术对松辽盆地深层勘探程度最高的徐家围子断陷的航磁资料进行目标处理,与钻井资料对比表明,经处理后的航磁资料可以较好地反映火山岩的分布特征.以航磁资料为主结合钻井、地震资料预测了徐家围子三套火山岩的平面分布.指出航磁异常梯度带是火山岩储层的发育区带,近烃源岩或沟通烃源岩的航磁异常梯度带是火山岩天然气的富集区带.该认识对今后松辽盆地的勘探部署有着十分重要的指导意义,对我国其他地区的火山岩勘探也具有借鉴意义. 相似文献
6.
为了提高测高重力恢复计算的精度,本文利用新方法计算沿轨测高垂线偏差分量,并在对逆Vening Meinesz公式的FFT算法进行分析的基础上导出了内区效应的计算公式.结果证明内区效应与逆Vening Meinesz公式奇异区内垂线偏差分量的梯度及奇异区面积的大小有关,与重力异常计算点及其附近的奇异区内的垂线偏差无直接关系.最后利用ERS_1卫星测高数据,根据本文提出的方法计算垂线偏差分量,采用本文导出的内区效应公式计算了北大西洋6°×6°区域内区效应对测高重力结果的影响. 相似文献
7.
M. S. Zhdanov 《Surveys in Geophysics》1980,4(1-2):115-136
The main results in the theory of the interpretation of geopotential fields are generalized to the case of arbitrary variable electromagnetic fields by means of elaborating electrodynamic analogues for the integral of the Cauchy type.The generalized Kertz method for separating a variable electromagnetic field into parts related to the sources located in different regions of space is elaborated on the basis of this technique. The generalized Kertz method allows the selection of external and internal, normal and anomalous parts of the geomagnetic field, as well as the separation of geomagnetic anomalies into the surface and deep components caused by conductivity inhomogeneities in the Earth's crust and upper mantle.The theory of analytical continuation of variable electromagnetic fields in a conducting medium is also developed in the present work using the technique of analogues for the integral of the Cauchy type. It is shown that analytical continuation of a field downwards permits the determination of the location and form of deep geoelectric inhomogeneities according to the configuration of the isolines of flux functions for magnetic and electric fields. 相似文献
8.
The eigenvalue decomposition technique is used for analysis of conditionality of two alternative solutions for a determination
of the geoid from local gravity data. The first solution is based on the standard two-step approach utilising the inverse
of the Abel-Poisson integral equation (downward continuation) and consequently the Stokes/Hotine integration (gravity inversion).
The second solution is based on a single integral that combines the downward continuation and the gravity inversion in one
integral equation. Extreme eigenvalues and corresponding condition numbers of matrix operators are investigated to compare
the stability of inverse problems of the above-mentioned computational models. To preserve a dominantly diagonal structure
of the matrices for inverse solutions, the horizontal positions of the parameterised solution on the geoid and of data points
are identical. The numerical experiments using real data reveal that the direct gravity inversion is numerically more stable
than the downward continuation procedure in the two-step approach. 相似文献
9.
基于重力异常分离方法寻找深部隐伏铁矿 ——以安徽泥河铁矿为例 总被引：5，自引：4，他引：1
重力异常是地下不同规模、不同形态和不同埋深的不均匀地质体的综合响应,重力勘探主要通过从重力异常中提取感兴趣的局部异常,以便探测深部结构,寻找隐伏矿床.为探讨重力异常分离原则并检验方法效果,本文从各方法原理入手,加上模型试验以及在安徽省泥河矿区深部隐伏铁矿的探寻实践检验,阐明:趋势分析法是整体拟合不同于最小二乘圆滑的局部拟合,由于是多项式拟合区域场,趋势分析法不适宜范围大、地质情况复杂的测区;插值切割法以计算点场值与四点圆周平均值的插值运算为切割算子,通过连续切割,得到重力异常的切割区域场和局部场,插值切割法对于小测区单个异常的分离效果较好,切割次数选择1到2次即可;匹配滤波法通过分析实测异常功率谱曲线、选择合适的滤波段、建造适宜的低通和带通滤波器进行滤波,从而提取不同波数成分的异常场,匹配滤波更适合垂向叠加的异常分离;解析延拓是根据一个面上的一组位场数据确定另一个不同高度面上位场值,应用中要把握延拓高度;垂向二阶导数法可以起到突出浅源异常,区分水平叠加异常,确定异常体的边界,消除或削弱背景场的作用.通过安徽泥河铁矿重力异常分离实验,发现三阶趋势分析、向上延拓以及插值切割法能很好地分离出矿体异常和背景场,同时发现在泥河矿区东南部和东北部还存在剩余重力异常,可为泥河铁矿扩大规模提供新的线索. 相似文献
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利用余弦变换计算重力异常的向上延拓是一种新方法.根据余弦变换的基本性质,推导了二度、三度体异常向上延拓余弦变换谱理论公式,采用离散余弦变换实现了该法的数值计算;研究了无限长水平圆柱体的补偿因子中主频段的特性,给出了二度体的线性补偿方式;补偿后的理论模型异常向上延拓具有较高的计算精度,除边部几个数据因数据的离散和有限截断使误差较大外（最大误差为6.23%）,其余数据的误差均在1%以内,理论值和计算值曲线基本重合.这说明,与Fourier变换相比,离散余弦变换在数值计算中,受非周期性深度因子的影响小,补偿方式易于选择,其计算方法优于Fourier变换. 相似文献
13.
为了实现曲面随机点位场数据的曲面延拓和转换,以磁异常位场数据为例,采用一组磁偶极子作为等效源,置于观测面下方的一个曲面上,把观测磁异常作为这组磁偶极子所产生磁异常的边界条件,通过求解线性方程组的方法反演磁偶极子磁矩的大小,再根据反演结果正演所要计算的磁异常数据,实现了曲面随机点磁异常位场数据的向上延拓、向下延拓、求导以及化极处理.在数据量较大时,为了提高反演计算的速度,把磁异常数据和磁偶极子分成若干小块,再利用各块磁异常数据分别反演该块数据下方磁偶极子的磁矩,并通过迭代计算来逐步取得更准确的反演结果.模型试验表明,磁异常位场数据向上延拓的均方根误差小于±2nT,向下延拓和化极也可以取得较高的精度,所提出的分块处理方法提高了延拓和转换的速度,实际资料处理给出了曲面随机点航磁异常数据向下延拓和化极的一个例子. 相似文献
14.
Deep crustal structures of eastern China and adjacent seas revealed by magnetic data 总被引：5，自引：0，他引：5
Through reduction to the North Pole and upward continuation of the total field magnetic anomalies, we analyze magnetic patterns
and spatial distributions of different tectonic blocks and crustal faults in eastern China and adjacent seas. Depths to the
Curie isotherms are further estimated from radially averaged amplitude spectra of magnetic data reduced to the pole. Data
reductions effectively enhance boundaries of regional tectonic belts, such as the Dabie ultra-high metamorphic belt, the Tanlu
Fault, and the Diaoyudao Uplift. Curie depths are estimated at between 19.6 and 48.9 km, with a mean of 31.7 km. The Subei
Basin and the south Yellow Sea Basin in the lower Yangtze block show relatively deep Curie isotherms, up to about 35 km in
depth, whereas in the surrounding areas Curie depths are averaged at about 25 km. This implies that the lower Yangtze Block
has experienced a unique tectonic evolution and/or has unique basement lithology and structures. From a regional perspective,
sedimentary basins, such as the Subei Basin, the south Yellow Sea Basin, and the East China Sea Basin, normally show deeper
Curie isotherms than surrounding uplifts such as the Diaoyudao Uplift and the Zhemin Uplifts. Curie isotherms also upwell
significantly in volcanically active areas such as the Ryukyu Arc and the Cheju Island, confirming strong magmatic and geothermal
activities at depth.
Supported by National Natural Science Foundation of China (Grant Nos. 40776026 and 40876022) and National Basic Research Program
of China (Grant No. 2007CB411702) 相似文献
15.
2D and 3D potential-field upward continuation using splines 总被引：1，自引：0，他引：1
Bingzhu Wang † 《Geophysical Prospecting》2006,54(2):199-209
The dominant upward‐continuation technique used in the potential‐field geophysics industry is the fast Fourier transform (FFT) technique. However, the spline‐based upward‐continuation technique presented in this paper has some advantages over the FFT technique. The spline technique can be used to carry out level‐to‐uneven surface 2D and 3D potential‐field upward continuation. An example of level‐to‐uneven surface upward continuation of 3D magnetic data using the spline technique is shown, and it is evident that the continued anomalies are very close to the theoretical values. The spacing can be irregular. Synthetic examples using the spline technique to continue noise‐contaminated gravity and magnetic data upward to an altitude of 15 km on irregular grids are shown. Gaussian noise with a zero mean and a standard deviation of 1% does not cause much error and can readily be tolerated. Through comparison with the FFT technique, it is found that for low‐altitude gravity and magnetic upward continuation, both the FFT technique and the spline technique are suitable; for high‐altitude upward continuation, the FFT technique is inaccurate, whereas the spline technique works very well. Also, upward continuation by the spline technique has a smaller edge effect than upward continuation by the FFT technique. The spline‐based upward continuation technique works fairly well even when the periphery of a grid is not quiet: it is rather robust in general. A real example shows that the spline technique can be employed to perform upward continuation of total‐field magnetic data and to de‐emphasize near‐surface noise. 相似文献
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Azimuthally averaged power spectra are widely used in the Curie point depth (CPD) estimation with the implicit assumption that the magnetization distribution is random and uncorrelated. However, the marine magnetic anomalies are caused by bands of normal and reverse magnetization and show obvious trends. To investigate the effects of the anisotropy of marine magnetic anomalies on the CPD estimates, we develop 3D fractal striped magnetization models to produce lineated marine magnetic anomalies for the first time. We analyze the spectra anisotropy of the lineated magnetic anomalies of the synthetic fractal striped magnetization models and investigate its effects on the CPD estimates. The synthetic models and actual data show that the spectra of the lineated marine magnetic anomalies are directionally anisotropic. The amplitude response is strong and the slope of the logarithmic spectrum is large in a direction perpendicular to the stripes of magnetic anomalies, whereas the amplitude response is weak and the slope of the logarithmic spectrum is small in a direction parallel to the stripes of magnetic anomalies. The depth estimates in the perpendicular direction are close to the actual values, whereas the depths estimates in the parallel direction are significantly lower than the actual values. The actual marine magnetic anomalies of the South China Sea exhibit an anisotropic power spectrum that is consistent with the spectral anisotropy of magnetic anomalies of the synthetic fractal striped magnetization models. 相似文献
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The properties of cross-correlation functions for the case of gravity and magnetic total field anomalies produced by three geometric models of geological bodies (point-mass, horizontal line-mass, and vertical semi-infinite rectangular prism mass distributions) are studied. This study is carried out on four cases of cross-correlation: the whole curve of anomalies, a single branch of anomalies, the branch between the two inflexion points and the branch between the apex point and the inflexion point. In all cases, the crosscorrelation function can serve as a good indicator to discriminate the so-called genetically related anomalies from those produced by different geological bodies situated on the same vertical line; but the best results are obtained using the cross-correlation of the branches between the apex point and the inflexion point of the two geophysical anomalies. A practical procedure is developed in order to undertake such analysis. The tests in some cases of real gravity and magnetic anomalies mapped in Romania show the validity of this practical procedure. 相似文献
20.
Downward continuation is a useful tool in the processing of potential field data, which can effectively enhance weak anomalies and identify overlap anomalies, but we all know that the computation of downward continuation is unstable, and easily distorts the true feature of potential field data. Because the computation of upward continuation and horizontal derivatives is stable, we proposed using the combination of upward continuation and horizontal derivative to accomplish the downward continuation of potential field data. The proposed method is demonstrated on synthetic potential field data, and the results show that the proposed method can finish the downward continuation of the data stably and precisely, and the precision of the proposed method is higher than the traditional method. We also apply it to real potential field data, and the results show that the proposed method accomplishes the downward continuation of the real data stably. 相似文献