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qS-wave decoupling equation for wavefield separation in transversely isotropic media 横向各向同性介质中波场分离的 qS 波解耦方程
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-28 DOI: 10.1111/1365-2478.13509
Lina Ren, Qizhen Du, Wenhao Lv, Lei Pu, Li-Yun Fu

Considering the anisotropy of the earth media is helpful in reducing the depth error between seismic and drilling and providing reliable imaging data for seismic interpretation and inversion. Transversely isotropic media with a vertical axis of symmetry are the most common type of anisotropic media and have been under constant study. The separation of the P- and S-wavefields, which affects the accuracy of elastic wave imaging and the inversion in transversely isotropic media with a vertical axis of symmetry, is a hot research topic. Among the commonly used wavefield decoupling methods, the S-wave is typically obtained by subtracting the P-wave from the total wavefield. However, this kind of wavefield decoupling method often leads to severe P-wave crosstalk in the separated S-wavefield; thus, it needs further development. In this paper, the principle that the divergence of the S-wave is zero is employed to solve the unresolved S-wave elastic parameters of the S-wave stiffness matrix by utilizing the modified zero-order pseudo-Helmholtz decomposition operator. The obtained S-wave elastic parameters are employed to construct the qS-wave stress and facilitate the derivation of the relationship between the qS-wave particle velocity and the qS-wave stress. Furthermore, a qS-wave decoupling first-order velocity–stress equation, which matches the qP-wave decoupling first-order velocity–stress equation, is derived. By jointly using the decoupling equations of qS- and qP-wave, the separation of the P- and S-wavefields in transversely isotropic media with a vertical axis of symmetry is realized. The efficiency of the proposed method is demonstrated via numerical tests conducted to assess the wavefield separation. Moreover, a complex model is employed to perform elastic reverse-time migration, resulting in the acquisition of accurate imaging results for PP, PS, SP, and SS waves, without the presence of significant artefacts. The correctness of the qS-wave decoupling equation in transversely isotropic media with a vertical axis of symmetry is confirmed by the comparative tests using decoupling methods in isotropic media.

考虑地球介质的各向异性有助于减少地震与钻探之间的深度误差,并为地震解释和反演提供可靠的成像数据。具有垂直对称轴的横向各向同性介质是最常见的各向异性介质类型,一直受到人们的研究。在具有垂直对称轴的横向各向同性介质中,P 波场和 S 波场的分离会影响弹性波成像和反演的精度,是一个热门的研究课题。在常用的波场解耦方法中,S 波通常是通过从总波场中减去 P 波得到的。然而,这种波场去耦方法往往会导致分离出的 S 波场出现严重的 P 波串扰,因此需要进一步发展。本文采用 S 波发散为零的原理,利用修正的零阶伪赫尔姆霍兹分解算子求解 S 波刚度矩阵的未解算 S 波弹性参数。得到的 S 波弹性参数用于构建 qS 波应力,并有助于推导 qS 波粒子速度与 qS 波应力之间的关系。此外,还推导出了与 qP 波解耦一阶速度-应力方程相匹配的 qS 波解耦一阶速度-应力方程。通过联合使用 qS 波和 qP 波的解耦方程,实现了垂直对称轴横向各向同性介质中 P 波场和 S 波场的分离。通过评估波场分离的数值测试,证明了所提方法的效率。此外,还采用了一个复杂的模型来进行弹性反向时间迁移,从而获得了 PP、PS、SP 和 SS 波的精确成像结果,且没有出现明显的伪影。通过在各向同性介质中使用解耦方法进行对比测试,证实了 qS 波解耦方程在垂直对称轴横向各向同性介质中的正确性。
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引用次数: 0
An efficient elastic full-waveform inversion of multiple parameters with ocean-bottom seismometer data 利用洋底地震仪数据对多参数进行高效弹性全波形反演
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-28 DOI: 10.1111/1365-2478.13502
Xinquan Huang, Yuzhu Liu

Detailed knowledge of the subsurface elastic properties might provide much-needed insight into the subduction-zone structure and the estimation of reservoir parameters. Compressional and shear wave velocities can be inverted by elastic full-waveform inversion using multicomponent ocean-bottom seismometer data. However, this process is computationally intensive, requiring massive, repeated simulations scaling with the number of sources. Although source–receiver reciprocity can streamline elastic full-waveform inversion, it cannot be applied by directly interchanging the positions of sources and ocean-bottom seismometers. To reduce the computational cost, we develop a source–receiver reciprocal elastic full-waveform inversion, in which the reciprocity in multicomponent data can be accomplished by transforming the data matching from the original geometry to a specific form under the reciprocal geometry. This approach significantly reduces computational costs from twice the number of sources, as seen in conventional elastic full-waveform inversion, to a scale with the count of ocean-bottom seismometers. The tests on synthetic data verify that the proposed reciprocal elastic full-waveform inversion maintains accuracy while improving computational efficiency, and further application on the field data from East China Sea also showcases the efficiency of the proposed method, resulting in a speed-up of 10 times.

对地下弹性特性的详细了解可能为了解俯冲带结构和估算储层参数提供急需的信息。压缩波和剪切波速度可以利用多分量海底地震仪数据进行弹性全波形反演。然而,这一过程的计算量很大,需要进行大量的重复模拟,模拟次数与震源数量成比例。虽然震源-接收器互易可以简化弹性全波形反演,但它不能通过直接交换震源和海底地震仪的位置来应用。为了降低计算成本,我们开发了一种震源-接收器互易弹性全波形反演方法,通过将原始几何形状下的数据匹配转换为互易几何形状下的特定形式,实现多分量数据的互易。这种方法大大降低了计算成本,计算成本从传统弹性全波形反演中的两倍震源数量降低到与海底地震仪数量相当的规模。在合成数据上的测试验证了所提出的倒易弹性全波形反演在提高计算效率的同时保持了精度,而在东海野外数据上的进一步应用也展示了所提出方法的效率,使计算速度提高了 10 倍。
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引用次数: 0
Seismic noise attenuation method based on low-rank adaptive symplectic geometry decomposition 基于低阶自适应交映几何分解的地震噪声衰减方法
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-27 DOI: 10.1111/1365-2478.13504
Jie Fei Yang, Xia Luo, Dezhi Liu, Hanming Gu, Ming Sun

The basic assumption of low-rank methods is that noise-free seismic data can be represented as a low-rank matrix. Effective noise reduction can be achieved through the low-rank approximation of Hankel matrices composed of the data. However, selecting the appropriate rank parameter and avoiding expensive singular value decomposition are two challenges that have limited the practical application of this method. In this paper, we first propose symplectic geometric decomposition that avoids singular value decomposition. The symplectic similarity transformation preserves the essence of the original time sequence as well as the signal's basic characteristics and maintains the approximation of the Hankel matrix. To select an appropriate rank, we construct the symplectic geometric entropy according to the distribution of eigenvalues and search for high-contributing eigenvalues to determine the needed rank parameter. Therefore, we provide an adaptive approach to selecting the rank parameter by the symplectic geometric entropy method. The synthetic examples and field data results show that our method significantly improves the computational efficiency while adaptively retaining more effective signals in complex structures. Therefore, this method has practical application value.

低秩方法的基本假设是,无噪声地震数据可以用低秩矩阵表示。通过对数据组成的 Hankel 矩阵进行低秩近似,可实现有效降噪。然而,选择适当的秩参数和避免昂贵的奇异值分解是限制该方法实际应用的两大难题。在本文中,我们首先提出了避免奇异值分解的交映几何分解法。交映相似变换保留了原始时间序列的本质以及信号的基本特征,并保持了汉克尔矩阵的近似性。为了选择适当的秩,我们根据特征值的分布构建交映几何熵,并搜索高贡献特征值,以确定所需的秩参数。因此,我们提供了一种用交映几何熵法选择秩参数的自适应方法。合成示例和现场数据结果表明,我们的方法在自适应保留复杂结构中更多有效信号的同时,显著提高了计算效率。因此,这种方法具有实际应用价值。
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引用次数: 0
Comparison of elastic anisotropy in the Middle and Upper Wolfcamp Shale, Midland Basin 米德兰盆地中上沃尔夫坎普页岩弹性各向异性比较
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-26 DOI: 10.1111/1365-2478.13503
Colin M. Sayers, Sagnik Dasgupta

Organic-rich shales contain large amounts of oil and gas and are anisotropic because of fine-scale layering and the partial alignment of organic matter and anisotropic clay minerals with the bedding. An example is the Wolfcamp Shale in the Permian Basin. Elastic anisotropy needs to be accounted for in the characterization of such formations using seismic data and plays a role in hydraulic fracturing and in the evaluation of stress changes and geomechanical effects resulting from production. Using extensive well log data acquired in the Midland Basin, the eastern sub-basin of the Permian Basin, we estimate and compare the elastic anisotropy in the Middle and Upper Wolfcamp Shale by combining data from a vertical pilot well with two lateral wells, one (6SM) drilled in the Middle Wolfcamp and one (6SU) drilled in the Upper Wolfcamp. The data used were acquired at the Hydraulic Fracture Test Site 1, located in the eastern part of the Midland Basin. Thomsen's anisotropy parameter γ$gamma $ calculated from the fast and slow shear sonic is higher on average for the 6SM lateral than for 6SU, consistent with there being less carbonate content in 6SM than in 6SU. However, the anisotropy parameter γ$gamma $ in some regions with higher carbonate content in well 6SU is higher than in well 6SM. This may indicate the influence of natural fractures. The primary set of steeply dipping fractures observed in the lateral wells at Hydraulic Fracture Test Site 1 acts to increase γ$gamma $ if the ratio of the normal-to-shear fracture compliance is less than about 0.5. Sub-horizontal fractures may also increase γ$gamma $ and could affect the vertical extent of hydraulic fractures. Relations between elastic moduli C33 and C55 in the Upper and Lower Wolfcamp in a vertical pilot well allow C33 to be predicted in a lateral well using measurements of C55 in that well. Comparison of Thomsen's anisotropy parameters γ$gamma $ and ε$varepsilon $, with γ$gamma $

富含有机质的页岩含有大量石油和天然气,由于细尺度分层以及有机质和各向异性粘土矿物与层理的部分排列,因此具有各向异性。二叠纪盆地的沃尔夫坎普页岩就是一个例子。在利用地震数据描述此类地层的特征时,需要考虑弹性各向异性,弹性各向异性在水力压裂以及评估生产造成的应力变化和地质力学影响方面也发挥着作用。利用在二叠纪盆地东部子盆地米德兰盆地获得的大量测井数据,我们将一口垂直试验井和两口侧向井(一口(6SM)钻于中沃尔夫坎普页岩,一口(6SU)钻于上沃尔夫坎普页岩)的数据结合起来,估算并比较了中沃尔夫坎普页岩和上沃尔夫坎普页岩的弹性各向异性。所使用的数据是在位于米德兰盆地东部的水力压裂试验场 1 获得的。根据快速和慢速剪切声波计算得出的汤姆森各向异性参数,6SM横向平均高于6SU,这与6SM的碳酸盐含量低于6SU一致。然而,在 6SU 井碳酸盐含量较高的一些区域,各向异性参数高于 6SM 井。这可能表明天然裂缝的影响。在水力压裂试验场 1 的侧向井中观察到的主要一组陡斜裂缝,如果法向与剪切裂缝顺应性之比小于 0.5 左右,其作用就会增大。次水平裂缝也可能增加,并可能影响水力压裂的垂直范围。通过垂直试验井中上沃尔夫坎普和下沃尔夫坎普的弹性模量 C33 和 C55 之间的关系,可以利用横向井中的 C55 测量值预测横向井中的 C33。通过比较汤姆森各向异性参数、C55 和 C66 的测量值以及 C11 的测量值和 C33 的预测值,可以发现 C33 大多大于 C55。
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引用次数: 0
Research note: A comparison between normalized controlled-source electromagnetic field components and transfer functions as input data for three-dimensional non-linear conjugate gradient inversion 研究说明:归一化受控源电磁场分量与作为三维非线性共轭梯度反演输入数据的传递函数之间的比较
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-26 DOI: 10.1111/1365-2478.13488
Paula Rulff, Thomas Kalscheuer

Controlled-source electromagnetic methods are applied to survey the electrical resistivity distribution of the subsurface. This work compares normalized electromagnetic field components and transfer functions such as impedance tensors and vertical magnetic transfer functions generated by two independent source polarizations as input data for three-dimensional inversion. As most other available inversion codes allow for inverting only one of the mentioned input data types, it is unclear which data type is preferable for controlled-source electromagnetic inversion. Our three-dimensional non-linear conjugate gradient inversion code can handle both input data types, facilitating a comparison of normalized electromagnetic field components and transfer functions inversion. Examining inversion results for a three-dimensional synthetic model with two anomalies, we infer that the transfer functions inversion is favourable for recovering the overall resistivity distribution below the receiver sites in fewer iterations. The inversion of normalized electromagnetic field components produces a sharper image of the anomalies and may be capable of detecting the resistivity distribution below the extended sources, which comes at the price of introducing a more heterogeneous background resistivity in the model.

受控源电磁法用于勘测地下电阻率分布。这项工作比较了归一化电磁场分量和传递函数,如两个独立源极化产生的阻抗张量和垂直磁传递函数,作为三维反演的输入数据。由于大多数其他可用的反演代码只允许反演上述输入数据类型中的一种,因此还不清楚哪种数据类型更适合可控源电磁反演。我们的三维非线性共轭梯度反演代码可同时处理两种输入数据类型,便于比较归一化电磁场分量和传递函数反演。通过对具有两个异常点的三维合成模型的反演结果进行研究,我们推断传递函数反演有利于以较少的迭代次数恢复接收点下方的整体电阻率分布。对归一化电磁场分量进行反演可以得到更清晰的异常点图像,并能探测到扩展源下方的电阻率分布,但代价是在模型中引入了更多的异质背景电阻率。
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引用次数: 0
Near offset reconstruction for marine seismic data using a convolutional neural network 利用卷积神经网络进行海洋地震数据的近偏移重建
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-22 DOI: 10.1111/1365-2478.13505
Owen Rohwer Huff, Vemund Stenbekk Thorkildsen, Thomas Larsen Greiner, Jan Erik Lie, Andreas Kjelsrud Evensen, Aina Juell Bugge, Jan Inge Faleide

Marine seismic data is often missing near offset information due to separation between the source and receiver cables. To solve this problem, a convolutional neural network is trained on synthetic seismic data to reconstruct the near offset gap. The synthetic data is created using a two-dimensional finite difference method within a heterogeneous velocity model. These synthetics are generated with a source-over-receiver acquisition geometry so that they contain complete near offset data. The convolutional neural network is then trained on input-target synthetic pairs where the inputs are common midpoint gathers with the near offset section removed, and the targets are the same gathers with the near offset section retained. Following training, the robustness of the method is investigated with regards to common midpoint data sorting, normal moveout correction and changes in the velocity model. It is found that training on common midpoint-sorted data results in 2.8 times lower error than training on shot gathers, that normal moveout correction of the training data makes no significant difference in error levels, and that the model can reconstruct realistic near offsets on synthetic data generated 10 km away within the heterogeneous velocity model. In field data testing, first a dataset with source-over-cable acquisition geometry from the Barents Sea is used to compare the reconstructed wavefields to ground truth values. Although the reconstructed amplitudes require minor scaling to match the true values, predictions on this dataset yield 2.5 times lower near offset reconstruction error compared to a simple Radon transform interpolation method. Furthermore, amplitude versus offset gradient and intercept sections from the Barents Sea dataset are estimated with half the error when including the convolutional neural network-predicted near offset data, compared to only using the conventionally-acquirable portion of the data (beyond 112.5 m of offset). In a secondary field data test, a conventional northern North Sea dataset is used to demonstrate how the method may be applied in practice. Here, the convolutional neural network generates more realistic predictions than the Radon method, and the gradient and intercept sections calculated using the convolutional neural network-predicted traces have higher signal-to-noise ratios than the sections calculated using only the original data. The combination of high-quality synthetic training data and interpolation in the common midpoint domain enables near offset reconstruction at significant depth (1 s of two-way traveltime or more), which is demonstrated in both synthetic and field examples.

由于震源和接收电缆之间的分离,海洋地震数据往往缺少近偏移信息。为解决这一问题,我们在合成地震数据上训练了一个卷积神经网络,以重建近偏移间隙。合成数据是在异质速度模型中使用二维有限差分法创建的。这些合成数据采用震源-接收器采集几何形状生成,因此包含完整的近偏移数据。然后在输入-目标合成对上对卷积神经网络进行训练,其中输入是去除近偏移部分的普通中点采集,目标是保留近偏移部分的相同采集。训练结束后,对该方法的鲁棒性进行了研究,包括共同中点数据排序、正常偏移校正和速度模型的变化。结果发现,在普通中点分类数据上进行训练,误差比在射电采集数据上进行训练低 2.8 倍;对训练数据进行正常偏移校正,误差水平没有显著差异;在异质速度模型内,该模型可以在 10 公里外生成的合成数据上重建真实的近偏移。在实地数据测试中,首先使用巴伦支海的源过电缆采集几何数据集,将重建的波场与地面真实值进行比较。虽然重建的振幅需要稍作缩放才能与真实值相匹配,但与简单的拉顿变换插值法相比,该数据集的预测结果将近偏移重建误差降低了 2.5 倍。此外,巴伦支海数据集的振幅与偏移梯度和截距剖面的估算,如果包括卷积神经网络预测的近偏移数据,误差要比只使用传统获取的数据部分(偏移 112.5 米以外)小一半。在二次实地数据测试中,使用了北海北部的一个常规数据集,以演示如何在实践中应用该方法。在这里,卷积神经网络生成的预测结果比 Radon 方法更真实,使用卷积神经网络预测的轨迹计算的梯度和截距断面比仅使用原始数据计算的断面具有更高的信噪比。高质量的合成训练数据与共同中点域插值相结合,可在较大深度(1 秒或更长的双向走时)实现近偏移重建,这在合成和野外示例中都得到了验证。
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引用次数: 0
Deep-salt: Complete three-dimensional salt segmentation from inaccurate migrated subsurface offset gathers using deep learning 深盐:利用深度学习从不确定性迁移的地下偏移采集中完成三维盐分分割
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-22 DOI: 10.1111/1365-2478.13506
Ana P. O. Muller, Bernardo Fraga, Matheus Klatt, Jessé C. Costa, Clecio R. Bom, Elisangela L. Faria, Marcelo P. de Albuquerque, Marcio P. de Albuquerque

Delimiting salt inclusions from migrated images during the velocity model building flow is a time-consuming activity that depends on highly human-curated analysis and is subject to interpretation errors or limitations of the images and methods available. We propose a supervised deep learning based method to include three-dimensional salt geometries in the velocity models. We compare two convolutional networks – based on the U-Net architecture – which can process three-dimensional seismic data. One architecture uses three-dimensional convolutional kernels, and the other has convolutional long short-term memory units. Each architecture requires specific preprocessing steps which affects their training and predictive performance. Both proposed architectures use subsurface offset gathers obtained from reverse time migration with an extended imaging condition as input and are trained to predict the salt inclusions. The velocity model used in migration is a reasonable approximation of sediment velocity but without salt inclusions. Thus, the migration model and, consequently, the migrated images are inaccurate due to the absence of the salt inclusion in the model using just the sediment velocity information for the segmentation. A similar salt inclusion methodology was previously validated for two-dimensional approaches; we extend it to the three-dimensional case. Our approach relies on subsurface common image gathers to focus the sediments' reflections around the zero offset and spread salt reflections' energy over large subsurface offsets. The results show that both proposed network models can accurately delineate the salt bodies in the test models, but when evaluating the trained networks for the three-dimensional SEG/EAGE salt model, the architecture with convolutional long short-term memory units has proven to generalize better.

在速度模型建立过程中,从迁移图像中划分盐包裹体是一项耗时的工作,它依赖于高度人工化的分析,并受到解释错误或可用图像和方法的限制。我们提出了一种基于深度学习的监督方法,将三维盐几何形状纳入速度模型。我们比较了两种基于 U-Net 架构的卷积网络,它们可以处理三维地震数据。一种结构使用三维卷积核,另一种结构使用卷积长短期记忆单元。每种架构都需要特定的预处理步骤,这会影响其训练和预测性能。这两种拟议的架构都使用从反向时间迁移中获得的地下偏移采集,并将扩展成像条件作为输入,经过训练后预测盐夹杂物。迁移中使用的速度模型是沉积物速度的合理近似值,但不含盐包裹体。因此,由于在仅使用沉积物速度信息进行分割的模型中没有盐包裹体,因此迁移模型以及迁移图像都是不准确的。类似的盐类包裹体方法之前已在二维方法中得到验证,我们将其扩展到三维情况。我们的方法依赖于次表层共同图像采集,将沉积物的反射聚焦在零偏移附近,并将盐反射的能量分散到大的次表层偏移上。结果表明,所提出的两种网络模型都能准确划分测试模型中的盐体,但在评估针对三维 SEG/EAGE 盐模型所训练的网络时,事实证明具有卷积长短期记忆单元的架构具有更好的泛化能力。
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引用次数: 0
Improved numerical solution of anisotropic poroelastic wave equation in microseismicity: Graphic process unit acceleration and moment tensor implementation 微地震中各向异性孔弹性波方程的改进数值解法:图形处理单元加速度和力矩张量的实现
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-19 DOI: 10.1111/1365-2478.13500
Jing Zheng, Tiezhu Li, Jingyu Xie, Yuan Sun

The accuracy and computational efficiency of full waveform forward modelling in poroelastic media are crucial for microseismic monitoring. It enables intuitive, precise and efficient simulation of subsurface responses, thereby improving the reliability of moment tensor inversion and seismic source mechanism interpretation. Additionally, it reflects the role of fluid effects in waveform evolution. In this paper, based on the Biot mechanism, we derived the first-order velocity–stress equation of poroelastic media and discretized the model using a rotated staggered grid. The rotated staggered grid can well adapt to anisotropic media with high contrast parameters. We provide the finite difference formula based on graphic process unit–acceleration and moment tensor and also provide the graphic process unit workflow for forward modelling of anisotropic poroelastic media. First, two models with different grid sizes were run based on single graphic process unit, 1-thread Central Processing Unit (CPU) and 16-thread CPU. The results show that the speedup factors are approximately 14.3 and 3.7, respectively, compared with the running time of 1-thread CPU and 16-thread CPU. Then, we compare and evaluate the response of three basic source mechanisms (isotropic expansion, double couple and compensated linear vector dipole) in the model. The comparison of analytical and numerical results verifies the effectiveness of the method. Furthermore, wavefield snapshots of two typical anisotropic media (vertical transversely isotropic and horizontal transversely isotropic) are analysed to correspond to different moment tensor sources. The results showed that the source mechanism does not change the isotropic and anisotropic plane and the wave travel time, but it does change the polarization amplitude of the velocity component. The attenuation of slow qP-wave increases along with the increase of the value of viscosity. The effect of permeability on wavefield appears with the opposite effect of viscosity. Finally, the seismic waveform differences between multi-layer elastic media and poroelastic media are compared and analysed. The results showed that the seismic wavefield and waveform of poroelastic media are more complex, the propagation speed of seismic waves is faster, but the attenuation of seismic waves is stronger.

孔弹性介质全波形前向建模的准确性和计算效率对微地震监测至关重要。它能直观、精确、高效地模拟地下响应,从而提高力矩张量反演和震源机制解释的可靠性。此外,它还反映了流体效应在波形演变中的作用。本文以 Biot 机理为基础,推导了孔弹性介质的一阶速度-应力方程,并使用旋转交错网格对模型进行了离散化处理。旋转交错网格能很好地适应各向异性介质的高对比参数。我们提供了基于图形处理单元-加速度和力矩张量的有限差分公式,还提供了各向异性孔弹性介质正演建模的图形处理单元工作流程。首先,基于单图形处理器、1 线程中央处理器(CPU)和 16 线程 CPU 运行了两个不同网格大小的模型。结果表明,与 1 线程 CPU 和 16 线程 CPU 的运行时间相比,速度分别提高了约 14.3 和 3.7 倍。然后,我们比较并评估了模型中三种基本源机制(各向同性膨胀、双耦合和补偿线性矢量偶极子)的响应。分析和数值结果的对比验证了该方法的有效性。此外,还分析了两种典型各向异性介质(垂直横向各向同性介质和水平横向各向同性介质)的波场快照,以对应不同的力矩张量源。结果表明,波源机制不会改变各向同性和各向异性平面以及波的传播时间,但会改变速度分量的偏振振幅。慢速 qP 波的衰减随粘度值的增加而增加。渗透率对波场的影响与粘度的影响相反。最后,比较分析了多层弹性介质和孔弹性介质的地震波形差异。结果表明,多孔弹性介质的地震波场和波形更为复杂,地震波的传播速度更快,但地震波的衰减更强。
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引用次数: 0
Introduction to special issue on seabed prospecting technology 海底勘探技术特刊导言
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-19 DOI: 10.1111/1365-2478.13508
Lei Xing, Tongcheng Han, Xiangchun Wang, Amir Haroon, Yuguo Li, Bingshou He
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引用次数: 0
Deblending and interpolation of subsampled blended seismic data based on damped randomized singular spectrum analysis 基于阻尼随机奇异谱分析的子采样混合地震数据去模和插值
IF 2.6 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-03-18 DOI: 10.1111/1365-2478.13507
Zhuowei Li, Tongtong Mo, Jiawen Song, Benfeng Wang

When compared to traditional seismic data acquisition, irregular blended acquisition significantly promotes the acquisition efficiency. Yet, the blending noise of subsampled blended data introduces new obstacles for the subsequent processing of seismic data. Due to the predictability of linear events in the frequency–space domain, the constructed Hankel matrices exhibit low-rank characteristics. However, the blending noise of subsampled blended data increases the rank, so deblending and interpolation can be implemented via rank-reduction algorithms such as the singular spectrum analysis. The significant computing cost of the singular value decomposition, however, makes the traditional singular spectrum analysis inefficient. An alternative algorithm, known as the randomized singular spectrum analysis, employs the randomized singular value decomposition instead of the traditional singular value decomposition for rank-reduction. The randomized singular spectrum analysis significantly enhances the efficiency of the decomposition process, particularly when dealing with large Hankel matrices. There still remains some random noise when using the singular spectrum analysis or randomized singular spectrum analysis for subsampled blended data, because the noise subspace and signal subspace are coupled together. Thus, we incorporate a damping operator into the randomized singular value decomposition and propose a novel damped randomized singular spectrum analysis method. The damped randomized singular spectrum analysis combines the advantages of the randomized singular value decomposition and the damping operator to enhance the computational efficiency and suppress the remaining noise. Moreover, an iterative projected gradient descent strategy is introduced to achieve deblended and interpolated seismic data for subsequent processing. Examples from synthetic data and field data are used to demonstrate the effectiveness and superiority of the proposed damped randomized singular spectrum analysis method, which enhances the accuracy and efficiency during simultaneous deblending and interpolation.

与传统的地震数据采集相比,不规则混合采集大大提高了采集效率。然而,子采样混合数据的混合噪声为地震数据的后续处理带来了新的障碍。由于线性事件在频域的可预测性,构建的 Hankel 矩阵呈现低秩特征。然而,子采样混合数据的混合噪声会增加秩,因此可以通过秩还原算法(如奇异谱分析)来实现去秩和插值。然而,奇异值分解的计算成本很高,使得传统的奇异频谱分析效率低下。一种被称为随机奇异谱分析的替代算法采用随机奇异值分解代替传统奇异值分解进行秩还原。随机奇异谱分析大大提高了分解过程的效率,尤其是在处理大型汉克尔矩阵时。由于噪声子空间和信号子空间耦合在一起,因此在使用奇异谱分析或随机奇异谱分析处理子采样混合数据时,仍会存在一些随机噪声。因此,我们在随机奇异值分解中加入了阻尼算子,并提出了一种新型的阻尼随机奇异谱分析方法。阻尼随机奇异谱分析结合了随机奇异值分解和阻尼算子的优点,提高了计算效率并抑制了剩余噪声。此外,该方法还引入了迭代投影梯度下降策略,以实现对地震数据的除杂和插值,以便进行后续处理。通过合成数据和野外数据的实例,证明了所提出的阻尼随机奇异频谱分析方法的有效性和优越性,该方法提高了同时除杂和插值的精度和效率。
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Geophysical Prospecting
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