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Application of non-stationary iterative time-domain deconvolution 非平稳迭代时域反褶积的应用
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-12-05 DOI: 10.1007/s11200-019-1165-z
Ergun Erhan, Robert L. Nowack

In this study, non-stationary iterative time-domain deconvolution (CNS-ITD) is investigated. The propagating wavelets are first estimated in several overlapping Gabor windows of the data. Matrix-vector operations in the time-domain are then performed by estimating a small number of columns of the wavelet matrix by interpolation within a sparse iterative estimation for the largest reflectivities. The iteration process is stopped when a minimum root mean square (RMS) residual or a maximum number of iterations is reached. Although initially formulated on the basis of work in earthquake seismology, CNS-ITD is a matching pursuit type of approach performed continuously in the time-domain for the non-stationary case. The results can then be convolved with a higher frequency wavelet in order to make the results stationary in time and to increase the resolution of the data. We first apply CNS-ITD to synthetic data with a time-varying attenuation, where the method successfully identifies the largest reflectors in the data. We then apply CNS-ITD to two observed shallow seismic datasets where improved resolution is obtained.

本文研究了非平稳迭代时域反卷积(CNS-ITD)。首先在数据的几个重叠的Gabor窗口中估计传播小波。在时域的矩阵-向量运算是通过在一个最大反射率的稀疏迭代估计内插值估计小波矩阵的少量列来完成的。当达到最小均方根残差或最大迭代次数时,迭代过程停止。虽然CNS-ITD最初是在地震地震学工作的基础上制定的,但它是一种针对非平稳情况在时域连续执行的匹配追踪类型的方法。然后可以将结果与更高频率的小波进行卷积,以使结果在时间上平稳并提高数据的分辨率。我们首先将CNS-ITD应用于具有时变衰减的合成数据,该方法成功地识别了数据中最大的反射体。然后,我们将CNS-ITD应用于两个观测到的浅层地震数据集,获得了更高的分辨率。
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引用次数: 2
Variance-covariance component estimation for structured errors-in-variables models with cross-covariances 具有交叉协方差的结构误差变量模型的方差-协方差分量估计
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-10-25 DOI: 10.1007/s11200-019-1021-1
Zhipeng Lv, Lifen Sui

In this contribution, an iterative algorithm for variance-covariance component estimation based on the structured errors-in-variables (EIV) model is proposed. We introduce the variable projection principle and derive alternative formulae for the structured EIV model by applying Lagrange multipliers, which take the form of a least-squares solution and are easy to implement. Then, least-squares variance component estimation (LS-VCE) is applied to estimate different (co)variance components in a structured EIV model. The proposed algorithm includes the estimation of covariance components, which is not considered in other recently proposed approaches. Finally, the estimability of the (co)variance components of the EIV stochastic model is discussed in detail. The efficacy of the proposed algorithm is demonstrated through two applications: multiple linear regression and auto-regression, on simulated datasets or on a real dataset with some assumptions.

本文提出了一种基于结构变量误差(EIV)模型的方差-协方差分量估计迭代算法。我们引入了变量投影原理,并应用拉格朗日乘子推导了结构化EIV模型的替代公式,该公式采用最小二乘解的形式,易于实现。然后,应用最小二乘方差分量估计(LS-VCE)估计结构化EIV模型中的不同(co)方差分量。提出的算法包括协方差分量的估计,这在其他最近提出的方法中没有考虑。最后,详细讨论了EIV随机模型(co)方差分量的可估计性。本文提出的算法的有效性通过两个应用程序来证明:多元线性回归和自回归,在模拟数据集或在真实数据集上进行一些假设。
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引用次数: 1
Simultaneous interpolation and denoising based on a modified thresholding method 基于改进阈值法的同步插值和去噪
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-10-25 DOI: 10.1007/s11200-019-0935-y
Jingjie Cao, Shangxu Wang, Wenquan Liang

Seismic interpolation can provide complete data for some multichannel processing techniques such as time lapse imaging and wave equation migration. However, field seismic data often contains random noise and noisy data interpolation is a challenging task. A traditional method applies interpolation and denoising separately, but this needs two workflows. Simultaneous interpolation and denoising combines interpolation and denoising in one workflow and can also get acceptable results. Most existing interpolation methods can only recover missing traces but fail to attenuate noise in sampled traces. In this study, a novel thresholding strategy is proposed to remove the noise in the sampled traces and meanwhile recover missing traces during interpolation. For each iteration, the residual is multiplied by a weighting factor and then added to the iterative solution, after which the sum in the transformed domain is calculated using the thresholding operation to update the iterative solution. To ensure that the interpolation and denoising results are robust, the exponential method was chosen to reduce the threshold values in small quantities. The curvelet transform was used as sparse representation and three interpolation methods were chosen as benchmarks. Three numerical tests results proved the effectiveness of the proposed method on removing noise in the sampled traces when the minimum threshold values are correctly chosen.

地震插值可以为时移成像、波动方程偏移等多通道处理技术提供完整的数据。然而,现场地震数据往往含有随机噪声,噪声数据插值是一项具有挑战性的任务。传统的方法是将插值和去噪分开进行,但这需要两个工作流程。同时插值和去噪将插值和去噪结合在一个工作流程中,同样可以得到令人满意的结果。现有的插值方法大多只能恢复缺失的迹线,而不能衰减采样迹线中的噪声。在本研究中,提出了一种新的阈值策略来去除采样路径中的噪声,同时恢复插值过程中缺失的路径。对于每次迭代,残差乘以一个加权因子,然后加入到迭代解中,然后使用阈值运算计算变换域中的和,更新迭代解。为了保证插值和去噪结果的鲁棒性,采用指数法在小范围内降低阈值。采用曲线变换作为稀疏表示,选择三种插值方法作为基准。三个数值实验结果表明,在正确选择最小阈值的情况下,该方法能够有效去除采样路径中的噪声。
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引用次数: 4
Random noise attenuation using a structure-oriented weighted singular value decomposition 基于结构的加权奇异值分解的随机噪声衰减
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-10-25 DOI: 10.1007/s11200-019-0723-8
Yankai Xu, Siyuan Cao, Xiao Pan

Singular value decomposition (SVD) is a useful method for random noise suppression in seismic data processing. A structure-oriented SVD (SOSVD) approach which incorporates structure prediction to the SVD filter is effcient in attenuating noise except distorting seismic events at faults and crossing points. A modified SOSVD approach using a weighted stack, called structure-oriented weighted SVD (SOWSVD), is proposed. In this approach, the SVD filter is used to attenuate noise for prediction traces of a primitive trace which are produced via the plane-wave prediction. A weighting function related to local similarity and distance between each prediction trace and the primitive trace is applied to the denoised prediction traces stacking. Both synthetic and field data examples suggest the SOWSVD performs better than the SOSVD in both suppressing random noise and preserving the information of the discontinuities for seismic data with crossing events and faults.

奇异值分解(SVD)是地震资料处理中抑制随机噪声的有效方法。基于结构的奇异值分解(SOSVD)方法将结构预测与奇异值分解(SVD)滤波器相结合,除了会使断层和交叉点处的地震事件失真外,还能有效地抑制噪声。提出了一种基于加权堆栈的改进的SOSVD方法,称为面向结构的加权SVD (SOWSVD)。该方法利用奇异值分解滤波器对平面波预测产生的原始迹线的预测迹进行噪声衰减。在去噪后的预测迹叠加中,应用与预测迹与原始迹之间的局部相似度和距离相关的加权函数。综合和现场数据实例表明,对于具有交叉事件和断层的地震数据,SOWSVD在抑制随机噪声和保留不连续信息方面都优于SOWSVD。
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引用次数: 3
Lithospheric strength of the Caroline Islands and its tectonic implications 加罗林群岛岩石圈强度及其构造意义
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-10-25 DOI: 10.1007/s11200-019-0732-7
Mingming Wang

The Caroline Islands are located in a broad zone near plate boundaries in southwestern Pacific. Accumulating evidence suggests that the hotspot origin alone cannot completely explain the formation of the Caroline Islands. To investigate the tectonic setting of their formation, we calculated the effective elastic thickness (Te) of the lithosphere beneath the Caroline Islands from an analysis of bathymetry and free-air gravity anomaly data by the admittance method. A synthetic model based on the actual bathymetry data of the Caroline Islands was developed for the finite window size biasing correction. The results show that the Te values of the Caroline Islands (4.5–11.5 km) are significantly lower than the Te expected for a normal oceanic lithosphere (23–50 km), and that the Te values can be approximated by the depth to the 150 ± 100°C isotherm. The low Te values indicate that the strength of the lithosphere beneath the Caroline Islands has been weakened by geological process. The thermal anomalies related to the Ontong Java Plateau and the South Pacific Isotopic and Thermal Anomaly, and the lithospheric fractures induced by interaction of plates are probable causes of the lithospheric strength reduction of the Caroline Islands.

加罗林群岛位于西南太平洋靠近板块边界的广阔地带。越来越多的证据表明,仅凭热点起源并不能完全解释加罗林群岛的形成。为探讨其形成的构造背景,利用导纳法分析了加罗林群岛海底测深和自由空气重力异常资料,计算了加罗林群岛岩石圈的有效弹性厚度Te。基于加罗林群岛实际测深资料,建立了有限窗尺寸偏置校正的综合模型。结果表明,加罗林群岛(4.5 ~ 11.5 km)的Te值明显低于正常海洋岩石圈(23 ~ 50 km)的Te值,Te值可以通过深度近似到150±100°C等温线。低Te值表明加罗林群岛岩石圈强度受地质作用减弱。与Ontong爪哇高原和南太平洋同位素热异常有关的热异常以及板块相互作用引起的岩石圈断裂可能是导致加罗林群岛岩石圈强度降低的原因。
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引用次数: 2
On the role of diffractions in velocity model building: a full-waveform inversion example 关于衍射在速度模型建立中的作用:一个全波形反演的例子
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-09-05 DOI: 10.1007/s11200-019-0733-6
Sergius Dell, Ivan Abakumov, Pavel Znak, Dirk Gajewski, Boris Kashtan, Andrey Ponomarenko

Imaging of small-scale heterogeneities is important for the geological exploration in complex environments. It requires a processing sequence tuned to high-resolution model building. Conventional methods which use refractions or reflections might face problems in resolving small-scale features since they are visually close to the resolution of the reflection images. Additional information or an unconventional technology, which supports the reflection imaging, is thus of great interest. An unconventional method based on seismic diffractions naturally complements specular reflection imaging. Diffracted waves represent a direct seismic response from small-scale subsurface heterogeneities, such as inclusions with a characteristic size of the prevailing wavelength, or discontinuities in geological interfaces, such as faults and fractures. We investigate the rule of diffracted part of the wavefield on velocity model building using a full-waveform inversion (FWI) example. In order to best acknowledge refracted and reflected parts of the wavefield in FWI, we chose a synthetic data example which mimics the ocean-bottom nodes acquisition survey as it provides almost perfect conditions for FWI of diving waves, a standard tool for high-resolution model building. We show, that FWI using diving waves produces a well-resolved anomaly. Including other part of the wavefield, reflected waves, further improves the resolution of the velocity anomaly but also leads to a gentle overfitting due to missing illumination from the very steep anomaly flanks. Considering diffracted events in FWI improves the model resolution even further resulting in a detailed velocity model and correctly imaged anomaly in both vertical and lateral directions.

小尺度非均质成像对于复杂环境下的地质勘探具有重要意义。它需要一个调整到高分辨率模型构建的处理序列。使用折射或反射的传统方法在解决小尺度特征时可能会遇到问题,因为它们在视觉上接近反射图像的分辨率。因此,支持反射成像的额外信息或非常规技术引起了极大的兴趣。一种基于地震衍射的非常规方法自然地补充了镜面反射成像。绕射波代表了小规模地下非均质性的直接地震响应,例如具有普遍波长特征尺寸的包裹体,或地质界面中的不连续面,例如断层和裂缝。我们用一个全波形反演(FWI)的例子研究了波场衍射部分在速度模型建立中的规律。为了最好地识别FWI中波场的折射和反射部分,我们选择了一个模拟海底节点采集调查的合成数据示例,因为它为潜水波的FWI提供了几乎完美的条件,这是一个高分辨率模型构建的标准工具。我们发现,利用潜水波的FWI产生了一个很好的解决异常。包括波场的其他部分,反射波,进一步提高了速度异常的分辨率,但也会导致温和的过拟合,因为缺少来自非常陡峭的异常侧翼的照明。在FWI中考虑衍射事件可以进一步提高模型分辨率,从而获得详细的速度模型,并在垂直和横向方向上正确成像异常。
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引用次数: 3
Determination of the local tidal parameters for the Borowiec station using Satellite Laser Ranging data 利用卫星激光测距数据确定Borowiec站的局地潮汐参数
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-09-05 DOI: 10.1007/s11200-019-0726-5
Marcin Jagoda, Miłosława Rutkowska

The values of regional tidal parameters h2, l2 associated with the tidal variations of ground stations were estimated for the Polish Satellite Laser Ranging (SLR) station Borowiec using SLR data. The study is based on satellite observations taken by the global network of ground stations during the period from January 1, 1999 until January 1, 2019 for monthly orbital arcs of the satellites LAGEOS-1 and LAGEOS-2. The adjusted regional values for h2 equalling 0.7308 ± 0.0008 and l2 equalling 0.1226 ± 0.0003 are discussed and compared with the nominal values of h2 and l2 given in the the International Earth Rotation and Reference Systems Service (IERS) standards and with other estimations of these parameters. Furthermore, the influence of the tidal parameters changes on estimation of the Borowiec station coordinates in the ITRF2014 reference frame was investigated. The analysis was carried out in two variants. The first one consisted in the determination of the Borowiec station coordinates with the use of the nominal values of the tidal parameters: h2 = 0.6078 and l2 = 0.0847 (IERS recommended values). In the second one, the Borowiec station coordinates were determined using the local tidal parameters estimated in this paper (h2 = 0.7308 ± 0.0008 and l2 = 0.1226 ± 0.0003). The differences between X, Y ,Z for Variant 1 and Variant 2 are ?3.5, 3.3 and 4.2 mm, respectively.

利用波兰卫星激光测距(SLR)站Borowiec的SLR资料估算了与地面站潮汐变化相关的区域潮汐参数h2、l2值。该研究基于1999年1月1日至2019年1月1日期间全球地面站网络对LAGEOS-1和LAGEOS-2卫星月度轨道弧的卫星观测。讨论了h2 = 0.7308±0.0008和l2 = 0.1226±0.0003的调整区域值,并与国际地球自转和参考系统服务(IERS)标准中给出的h2和l2标称值以及这些参数的其他估计值进行了比较。此外,还研究了潮汐参数变化对ITRF2014参考系下Borowiec站坐标估算的影响。分析以两种变体进行。第一步是利用潮汐参数标称值h2 = 0.6078和l2 = 0.0847 (IERS推荐值)确定Borowiec站坐标。二是利用本文估计的局地潮汐参数(h2 = 0.7308±0.0008,l2 = 0.1226±0.0003)确定Borowiec站坐标。变种1和变种2的X、Y、Z的差异分别为?3.5、3.3和4.2 mm。
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引用次数: 1
Topographic effects up to gravitational curvatures of tesseroids: A case study in China 曲面重力曲率的地形效应:以中国为例
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-08-24 DOI: 10.1007/s11200-018-0772-4
Xiao-Le Deng, Wen-Bin Shen

Topographic effects on gravity field modeling are important for geodesy, geophysics and related geosciences. In this study we evaluate the gravitational effects of tesseroids in spherical coordinates, including the gravitational potential (GP), gravity vector (GV), gravity gradient tensor (GGT) and especially the gravitational curvatures (GC). With the adaptive discretization stack-based algorithm by Gauss-Legendre quadrature approach, the optimized distance-size ratio values (D) of the GC components are analyzed. Numerical experiments demonstrate that the difference percentage values of the GC components (e.g., Vxxz, Vyyz and Vzzz) are larger at the range of D ∈ [0; 10] compared to those of the GP, GV and GGT components (i.e., V, Vz, Vzz). Different distance-size ratio values D = 6, 7, 14, 30, 35, 41 and 50 for the GC component Vzzz are recommended to reach the 0.1% threshold error at corresponding computational heights 260, 150, 50, 10, 8, 6 and 4 km. Moreover, the forward modeling for the gravitational effects up to GC of tesseroids based on the ETOPO1 model in China is investigated. The GC functionals could help to extend the knowledges of interior structures of the Earth and other planetary objects.

地形对重力场建模的影响在大地测量学、地球物理学和相关地球科学中具有重要意义。在球坐标下,我们评估了曲面的引力效应,包括引力势(GP)、引力矢量(GV)、重力梯度张量(GGT),特别是引力曲率(GC)。采用基于高斯-勒让德正交法的自适应离散化堆栈算法,分析了GC分量的优化距离大小比值(D)。数值实验表明,在D∈[0]范围内,GC组分(如Vxxz、Vyyz和Vzzz)的差百分比值较大;[10]与GP、GV和GGT分量(即V、Vz、Vzz)相比。GC分量Vzzz在对应的计算高度260、150、50、10、8、6和4 km时,推荐不同的距离大小比值D = 6、7、14、30、35、41和50,以达到0.1%的阈值误差。此外,本文还研究了基于ETOPO1模式的中国曲面重力效应的正演模拟。GC函数可以帮助扩展对地球和其他行星物体内部结构的认识。
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引用次数: 14
Suitable gravity interpolation technique for large data gaps in Africa 适合非洲大数据缺口的重力插值技术
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-08-02 DOI: 10.1007/s11200-017-0545-5
Hussein A. Abd-Elmotaal, Norbert Kühtreiber

The gravity database for the IAG African Geoid Project contains significantly large data gaps. These large data gaps affect the interpolation precision of the reduced gravity anomalies needed for the determination of the gravimetric geoid for Africa. Our aim is to develop a suitable interpolation technique that can be used for a proper gravity interpolation within large data gaps. A gap of 10° × 5° in the latitude and longitude directions, respectively, located at the high lands of Ethiopia has been artificially created within the gravity data set for Africa. The rest of the data set has been used to interpolate the gravity values at the gap points; then a comparison between the interpolated and the actual data values at the artificial data gap has been carried-out to determine the accuracy of the used interpolation technique. The unequal weight least-squares prediction (with the optimum curvature parameter at the origin) with an underlying grid at the gap areas computed by the satellite-only GO CONS GCF 2 DIR R5 model till degree and order 300, has been proposed as the developed interpolation approach. For comparison purpose, the Kriging interpolation technique has also been tested. Both the classical residual terrain modeling reduction and the window technique, suggested earlier by the authors to get rid of the double consideration of the topographic-isostatic masses within the data window in the framework of the remove-restore technique, have been used for the reduction process. A comparison between the data and interpolated values of the gravity at the gap points has been carried out. The results show that the developed interpolation technique gives better interpolation accuracy at the artificial data gap.

IAG非洲大地水准面项目的重力数据库存在很大的数据缺口。这些大的数据缺口影响了确定非洲重力大地水准面所需的简化重力异常的插值精度。我们的目标是开发一种合适的插值技术,可以用于在大数据间隙内进行适当的重力插值。在非洲的重力数据集中,位于埃塞俄比亚高地的纬度和经度方向上分别人为地制造了一个10°× 5°的差距。数据集的其余部分用于插值间隙点的重力值;然后将插值值与人工数据间隙处的实际数据值进行比较,以确定所采用插值技术的精度。提出了一种基于gocons GCF 2 DIR R5模型的不等权最小二乘预测方法(以最优曲率参数为原点),该方法在间隙区域有一个网格,直到300度和阶。为了比较的目的,克里格插值技术也进行了测试。本文采用经典的残差地形建模约简方法和窗口技术进行约简,即在去除-恢复技术的框架下,消除对数据窗口内地形-均衡质量的双重考虑。将数据与插值得到的间隙点重力值进行了比较。结果表明,所提出的插值方法在人工数据间隙处具有较好的插值精度。
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引用次数: 2
Using magnetic susceptibility measurements to differentiate soil drainage classes in central Iran 利用磁化率测量区分伊朗中部土壤排水类型
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2019-08-02 DOI: 10.1007/s11200-018-0679-0
Majid Gholamzadeh, Shamsollah Ayoubi, Fatemeh Sheikhi Shahrivar

We examine the potential of magnetic susceptibility measurements to discriminate different soil drainage classes in the Gandoman region, central Iran. Four soil drainage classes, comprising poorly drained (PD), somewhat poorly drained (SPD), moderately well drained (MWD) and well drained (WD), were identified, and a total number of 48 soil profiles were excavated and studied. The soil samples were collected from all studied profiles from the genetic horizons individually. Magnetic susceptibility was measured at both low (0.46 kHz) and high (4.6 kHz) frequencies. The crystallized and amorphous iron forms were also measured using citrate-bicarbonate-dithionite solution and oxalate-ammonium extracts, respectively. The highest magnetic susceptibility was observed in WD soils, whereas the lowest susceptibility was observed in PD soils. The results of the predictor models developed by discriminate analysis showed that the use of magnetic susceptibility and iron forms could correctly predict about 90.9, 78.6, 85.7 and 88.9% of all profiles in WD, MWD, SPD and PD classes, respectively. Overall, the results indicate that magnetic susceptibility could be applied as a marker for the discrimination of drainage classes in the study area. Magnetic susceptibility is thus a quickly accessible and low-cost indicator for soil drainage classes for landownerships and subsequent analyses.

我们研究了磁化率测量在伊朗中部甘多曼地区区分不同土壤排水类别的潜力。通过对48个土壤剖面的挖掘和研究,确定了土壤排水性差(PD)、稍差排水性(SPD)、中等排水性好(MWD)和排水性好(WD) 4个土壤排水性等级。土壤样本分别从所有研究剖面的遗传水平上收集。在低频率(0.46 kHz)和高频率(4.6 kHz)下测量磁化率。用柠檬酸盐-碳酸氢盐-二硫代盐溶液和草酸盐-铵萃取液分别测定了铁的结晶和无定形形态。WD土壤磁化率最高,PD土壤磁化率最低。通过判别分析建立的预测模型结果表明,利用磁化率和铁形态分别可以正确预测WD、MWD、SPD和PD类别中所有剖面的90.9%、78.6、85.7和88.9%。综上所述,磁化率可以作为研究区水系分类的标志。磁化率因此是土地所有权和随后分析的土壤排水等级的一个快速和低成本的指标。
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引用次数: 7
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