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Multiple Signal Classification Algorithm–Based Reflection Matrix Imaging Method for Tunnel–Array Acoustic Wave Prospecting Technique 基于多信号分类算法的反射矩阵成像隧道阵列声波探测技术
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-24 DOI: 10.1111/1365-2478.70096
Duo Li, Lei Chen, Chao Fu, Xinji Xu, Zhifei Gong, Yuxiao Ren, Zhengyu Liu

Urban underground tunnelling faces challenges from small-scale unfavourable geological bodies such as boulders and karst caves, the diameters of which are less than 1 m mostly. To address this issue, the tunnel-array acoustic wave prospecting technique has been proposed. It utilizes piezoelectric transducers to excite acoustic waves with a central frequency of 4000 Hz, enabling the detection of small-scale unfavourable geological bodies ahead of tunnel. However, due to the excavation by the shield cutterhead, the cracks and fissures in the rock mass near the cutterhead will significantly develop, forming a disturbed zone with high inhomogeneity. The existence of the disturbed zone will cause severe multiple scattering, which induces artefacts in the imaging results and reduces the accuracy of the advanced prospecting results. In terms of above issues, we introduce the idea of multiple signal classification (MUSIC) algorithm into the reflection matrix method and propose a novel MUSIC algorithm–based reflection matrix method. The reflection matrix can achieve the imaging of reflectors through re-projecting the acquired data into the media at excitation and reception using Green's function. But it cannot deal with the artefacts induced by multiple scattering. The idea of MUSIC algorithm is to calculate the correlation between Green's function and the singular vectors of the signal or noise subspace, which are obtained by singular value decomposition (SVD) of covariance matrix of the acquired data, achieving estimation of the reflectors. Referring to this idea, we further improved the reflection matrix using MUSIC algorithm. The reflection matrix method is applied first, and the reflection matrix is obtained. Then by SVD of covariance matrix of the reflection matrix, we obtain the signal vectors related to the imaging results of reflectors and noise vectors related to artefacts. The signal vectors are used to calculate the correlation with an imaging operator K, which is derived from the product of the conjugate of Green's function and itself. When the computing grid within reflectors, the results reach the local maximum; otherwise, it tends to 0. In this way, we mitigate the imaging artefacts introduced by the multiple scattering. Through synthetic experiment, we verified that the proposed method can effectively suppress the imaging noise and improve resolution of the imaging results compared to the reflection matrix method. Finally, the proposed method was applied on field data obtained in Zhanmatun Iron Mine and successfully predicted the interface of the opposite tunnel in the target area.

城市地下隧道施工面临着小尺度的不利地质体的挑战,如巨石、溶洞等,其直径大多小于1 m。为解决这一问题,提出了隧道阵声波勘探技术。它利用压电换能器激发中心频率为4000赫兹的声波,从而能够探测隧道前方的小型不利地体。然而,由于盾构刀盘的开挖,刀盘附近岩体的裂缝和裂隙会明显发育,形成非均匀性较高的扰动区。扰动带的存在会引起严重的多重散射,使成像结果产生伪影,降低了超前勘探结果的精度。针对上述问题,我们将多信号分类(MUSIC)算法的思想引入到反射矩阵方法中,提出了一种基于MUSIC算法的反射矩阵方法。反射矩阵利用格林函数将采集到的数据在激发和接收时重新投影到介质中,从而实现对反射器的成像。但它不能处理由多次散射引起的伪影。MUSIC算法的思想是通过对采集数据的协方差矩阵进行奇异值分解(SVD)得到信号或噪声子空间的奇异向量,计算格林函数与奇异向量之间的相关性,从而实现对反射器的估计。在此基础上,我们利用MUSIC算法进一步改进了反射矩阵。首先采用反射矩阵法,得到反射矩阵。然后对反射矩阵的协方差矩阵进行奇异值分解,得到与反射器成像结果相关的信号矢量和与伪影相关的噪声矢量。信号矢量用于计算与成像算子K的相关性,该算子由格林函数与自身共轭的乘积导出。当计算网格在反射器内部时,结果达到局部最大值;否则,它趋向于0。通过这种方法,我们减轻了多重散射带来的成像伪影。通过综合实验验证,与反射矩阵法相比,该方法能有效抑制成像噪声,提高成像结果的分辨率。最后,将该方法应用于湛马屯铁矿现场数据,成功预测了目标区内对面巷道的界面。
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引用次数: 0
Application of Feature Selection Methods to the Prediction of Sonic Logs: A Comprehensive Review and Comparative Analysis 特征选择方法在声波测井预测中的应用综述与比较分析
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-22 DOI: 10.1111/1365-2478.70095
David Lall, Mukul Mishra, Vikram Vishal

Deploying large datasets for training machine learning models often reveals more information about the target variable and helps to avoid overfitting. However, these advantages are associated with certain challenges, such as data noise and redundancy. In the present study on well log data consisting of a relatively large dataset (40 wells from the Cambay Basin), we deploy different classes of feature selection methods (filter-based methods, wrapper-based methods and embedded methods) to obtain the optimal feature set aimed at accurate prediction of sonic logs. Additionally, we utilize methods such as the boxplot and histogram analysis to remove outliers present in the dataset. Subsequently, we use XGBoost as our machine learning model, with fivefold cross-validation and a 70:30 split. We then proceed to predict the sonic log data in a blind well. We establish that the maximum relevance minimum redundancy method shows the best results with an R-squared value of 63% when we select three out of six features – depth, neutron porosity and bulk density. Significance of the results was demonstrated using statistical tests of significance, namely one-way analysis of variance and Tukey's honestly significant difference test. The selection of these features is further validated by established geophysical principles in the form of empirical relationships.

部署大型数据集来训练机器学习模型通常会揭示更多关于目标变量的信息,并有助于避免过拟合。然而,这些优势也伴随着一些挑战,比如数据噪声和冗余。在目前的研究中,我们使用了一个相对较大的数据集(Cambay盆地的40口井)的测井数据,采用了不同类型的特征选择方法(基于滤波器的方法、基于包裹器的方法和嵌入式方法)来获得最佳特征集,旨在准确预测声波测井。此外,我们利用箱线图和直方图分析等方法来去除数据集中存在的异常值。随后,我们使用XGBoost作为我们的机器学习模型,具有五倍交叉验证和70:30分割。然后,我们继续预测盲井中的声波测井数据。结果表明,当选取深度、中子孔隙度和容重3个特征时,最大相关最小冗余法的r平方值为63%。采用统计学显著性检验,即单向方差分析和Tukey's诚实显著性差异检验来证明结果的显著性。以经验关系的形式建立的地球物理原理进一步验证了这些特征的选择。
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引用次数: 0
Hybrid Transferable Deep Reinforcement Learning and Transformer Architecture for Enhanced Lithology Identification From Well-Logging Data 基于测井数据增强岩性识别的混合可转移深度强化学习和变压器结构
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-20 DOI: 10.1111/1365-2478.70083
Youzhuang Sun, Shanchen Pang, Hengxiao Li, Zhihan Qiu, Sibo Qiao

This research presents an innovative framework for lithology detection that combines domain adaptation, an Actor–Critic reinforcement learning (RL) architecture and Transformer-based sequence modelling to enhance log interpretation reliability in complex depositional environments. The study first reviews conventional petrophysical characterization methods using wireline measurements, noting their limitations in dealing with varied lithofacies distributions and non-stationary formation properties. Subsequently, it emphasizes the superior capabilities of neural networks, particularly the Transformer architecture, in analysing temporal measurement sequences. The multi-head attention mechanism in Transformers effectively models contextual relationships within depth-dependent logging signals, which is vital for stratigraphic interpretation. The proposed framework incorporates the Actor–Critic reinforcement paradigm, where the policy network (Actor) generates lithofacies predictions, and the value network (Critic) evaluates prediction quality. This dual-network setup promotes iterative policy refinement through feedback, enhancing classification consistency and computational efficiency. Moreover, recognizing the potential for domain shifts in logging campaigns, the framework includes parameter transfer mechanisms to facilitate knowledge distillation from source to target domains. This ability to adapt across projects significantly boosts model robustness and deployment feasibility in diverse reservoirs. Experimental validation on multiple well-log datasets shows that the combined Transformer architecture, RL, and transfer strategies outperform traditional machine learning and standalone deep learning models. Quantitative results reveal improvements in prediction accuracy, cross-well generalizability and domain adaptation efficiency in novel geological environments.

本研究提出了一种创新的岩性检测框架,该框架结合了域适应、行动者-批评家强化学习(RL)架构和基于变压器的序列建模,以提高复杂沉积环境中测井解释的可靠性。该研究首先回顾了使用电缆测量的常规岩石物理表征方法,指出了它们在处理不同岩相分布和非固定地层性质方面的局限性。随后,它强调了神经网络,特别是Transformer架构,在分析时序测量序列方面的优越能力。《变形金刚》中的多头注意机制有效地模拟了依赖深度的测井信号中的上下文关系,这对地层解释至关重要。提出的框架结合了行动者-批评者强化范式,其中政策网络(行动者)生成岩相预测,价值网络(批评者)评估预测质量。这种双网络设置通过反馈促进了策略的迭代细化,提高了分类一致性和计算效率。此外,认识到日志活动中领域转移的潜力,该框架包括参数转移机制,以促进从源领域到目标领域的知识蒸馏。这种跨项目的适应能力显著提高了模型的稳健性和在不同油藏中部署的可行性。在多个测井数据集上的实验验证表明,Transformer架构、RL和迁移策略的组合优于传统的机器学习和独立的深度学习模型。定量结果表明,在新的地质环境下,预测精度、井间通用性和区域适应效率均有提高。
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引用次数: 0
An Efficient Method for Calculating Raypaths of First-Arrival Traveltimes in Transversely Isotropic Media 横向各向同性介质中初到时间射线路径的有效计算方法
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-17 DOI: 10.1111/1365-2478.70087
Yongming Lu, Ye Zhang, Tao Lei, Nan Hu, Yongjie Tang, Jianming Zhang

Raypath tracing is a commonly used technique in geophysics, employed to simulate and analyse seismic wave propagation paths from source to receiver in complex media. In isotropic media, raypaths can be obtained by tracing from the receiver point along directions perpendicular to the wavefront towards the source point, based on the Fermat principle, because in isotropic media, the ray direction aligns with the ray gradient direction. In an anisotropic medium, the ray direction generally differs from the ray gradient direction, rendering the conventional tracing method inaccurate. Solving raypaths using Hamilton's canonical equations is a powerful method. However, in anisotropic media, the complex dependence of wave velocity on the propagation direction complicates the Hamiltonian function, significantly increasing computational complexity. To address this problem, we have derived a scheme based on the relationship between the group velocity vector and the slowness vector in anisotropic media. Firstly, the slowness vector is derived from the traveltime obtained through the eikonal equation, followed by the computation of the group velocity vector. Then, the raypath is determined by tracing back from the receiver point using the group velocity components to the source point. The efficiency and accuracy of our approach are validated through three numerical experiments.

射线路径追踪技术是地球物理学中常用的一种技术,用于模拟和分析地震波在复杂介质中从震源到接收器的传播路径。在各向同性介质中,由于在各向同性介质中,射线方向与射线梯度方向一致,因此根据费马原理,可以从接收点沿垂直于波前的方向向源点跟踪得到射线路径。在各向异性介质中,射线方向通常与射线梯度方向不同,使得传统的追踪方法不准确。利用哈密顿标准方程求解光线路径是一种强大的方法。然而,在各向异性介质中,波速对传播方向的复杂依赖使哈密顿函数变得复杂,大大增加了计算复杂度。为了解决这一问题,我们根据各向异性介质中群速度矢量和慢度矢量之间的关系,推导出一种方案。首先,由eikonal方程得到的行时导出慢度矢量,然后计算群速度矢量。然后,通过使用群速度分量从接收点追踪到源点来确定射线路径。通过三个数值实验验证了该方法的有效性和准确性。
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引用次数: 0
Correction to “Sensitivity Analysis With a 3D Mixed-Dimensional Code for Direct Current Geoelectrical Investigations of Landfills: Synthetic Tests” 修正“用三维混合维代码对垃圾填埋场直流地电调查进行敏感性分析:综合试验”
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-17 DOI: 10.1111/1365-2478.70084

Panzeri, L., Fumagalli, A., Longoni, L., Papini., M and Arosio, D. Sensitivity analysis with a 3D mixed-dimensional code for direct current geoelectrical investigations of landfills: Synthetic Tests. Geophysical Prospecting. 2025;4:1-16. https://doi.org/10.1111/1365-2478.70006.

潘泽里,路易斯安那州,福马加利,路易斯安那州,朗戈尼,帕皮尼。a ., M .和D. Arosio, D.对垃圾填埋场直流地电调查的三维混合维代码的敏感性分析:综合测试。地球物理勘探,2025;4:1-16。https://doi.org/10.1111/1365 - 2478.70006。
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引用次数: 0
Stochastic Inversion-Driven Petrophysical Modelling in Sub-Tuning Reefal Carbonates: Soğucak Formation, Thrace Basin, Türkiye 次调谐礁礁碳酸盐的随机反演岩石物理建模:Soğucak组,色雷斯盆地,土耳其
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-14 DOI: 10.1111/1365-2478.70091
Ergin Karaca, İsmail Ömer Yılmaz, Günay Çifci

Seismic inversion plays a critical role in populating subsurface properties into geomodel; however, its effectiveness is often constrained by the resolution limits of seismic data. This study evaluates the effectiveness of stochastic versus deterministic acoustic-impedance inversion for estimating total porosity (Φtotal), effective porosity (Φe) and permeability (K) in the complex reefal carbonates of the Soğucak formation, Deveçatağı oil field—northwestern Thrace Basin, Türkiye—whose thickness ranges from 2 to 57 m. The wedge model indicates a tuning thickness of 60 m in Soğucak formation which limits the vertical resolution of the deterministic inversion that directly affects the geomodel resolution. To address this challenge, a stochastic inversion was performed to resolve beds below the tuning thickness, using a high-resolution 1 millisecond (ms) vertical sampling grid and producing non-unique, fine-layered impedance realizations. Petrophysical relationships were established using 75 core plugs showing strong porosity–permeability trends that were cross-validated with wireline logs. These relationships were applied to acoustic-impedance volumes derived from both deterministic and stochastic inversion. Correlations at well locations used in the model are naturally higher due to constraints from acoustic-impedance logs; therefore, we emphasized blind-well correlations to assess predictive performance at locations without well control. Blind-well tests at W-2, W-4, W-6 and W-11 demonstrate valid predictive capability, with stochastic inversion achieving correlations of 0.65–0.73 compared to 0.45–0.52 for deterministic inversion, effectively resolving sub-tuning thickness beds and reliably predicting porosity and permeability. By overcoming the resolution limitations of deterministic inversion, stochastic inversion supported by robust petrophysical relationships—when applicable—provides a reliable and field-proven tool that can be adapted to carbonate reservoirs in diverse geological settings worldwide.

地震反演在将地下属性填充到地质模型中起着至关重要的作用;然而,其有效性往往受到地震资料分辨率的限制。本研究评估了 rkiye - Deveçatağı油田西北部色雷斯盆地Soğucak组复杂礁礁碳酸盐岩(厚度为2 ~ 57 m)总孔隙度(Φtotal)、有效孔隙度(Φe)和渗透率(K)的随机声阻抗反演与确定性声阻抗反演的有效性。楔形模型表明Soğucak地层的调谐厚度为60 m,这限制了确定性反演的垂直分辨率,直接影响了地质模型的分辨率。为了解决这一问题,研究人员使用高分辨率的1毫秒(ms)垂直采样网格进行随机反演,以解析调谐厚度以下的地层,并产生非唯一的细层阻抗实现。使用75个岩心桥塞建立岩石物理关系,显示出强烈的孔隙度-渗透率趋势,并与电缆测井交叉验证。这些关系应用于由确定性和随机反演得出的声阻抗体积。由于声阻抗测井的限制,模型中使用的井位相关性自然更高;因此,我们强调盲井相关性,以评估无井控位置的预测性能。W-2、W-4、W-6和W-11的盲井测试证明了有效的预测能力,随机反演的相关性为0.65-0.73,而确定性反演的相关性为0.45-0.52,有效地解决了亚调整厚度层,并可靠地预测了孔隙度和渗透率。通过克服确定性反演的分辨率限制,在可靠的岩石物理关系的支持下,随机反演提供了一种可靠的、经过现场验证的工具,可以适用于全球不同地质环境的碳酸盐岩储层。
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引用次数: 0
Robust 3D Magnetic Inversion for Targeted Source with Interfering Signals 具有干扰信号的目标源的鲁棒三维磁反演
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-14 DOI: 10.1111/1365-2478.70090
Leonardo B. Vital, Vanderlei C. Oliveira Jr., Valeria Cristina F. Barbosa

We present a robust method for inverting magnetic data to estimate the three-dimensional (3D) shape of a single targeted source in the presence of non-targeted sources, without requiring prior filtering of interfering signals. Assuming knowledge of the total magnetization direction of the target, our method retrieves its total magnetization intensity, position and shape. The target is approximated by a set of vertically juxtaposed prisms with the same magnetization vector and thickness. Each prism's horizontal section is defined by a polygon with equally spaced vertices from 0$0^circ$ to 360$360^circ$. The parameters to be estimated during inversion include the positions of the vertices, the horizontal location of each prism and the prism's thickness. The method uses a regularized non-linear inversion with a data-misfit function defined by L1-norm data residuals (L1-misfit solution). Tests on synthetic data demonstrate that the L1-misfit solution outperforms the L2-misfit solution in retrieving the 3D shape of the targeted source in the presence of non-targeted sources. In the absence of interfering signals, both solutions yield similar results. Real data applications to the Anitápolis and Diorama alkaline complexes in Brazil suggest that both complexes are controlled by faults, consistent with published geological information.

我们提出了一种鲁棒的方法来反演磁数据,在非目标源存在的情况下估计单个目标源的三维(3D)形状,而不需要事先滤波干扰信号。该方法在已知目标总磁化方向的前提下,检索目标的总磁化强度、位置和形状。目标近似为一组具有相同磁化矢量和厚度的垂直并置棱镜。每个棱镜的水平部分由一个多边形定义,顶点间距从0°$0^circ$到360°$360^circ$。反演时需要估计的参数包括顶点的位置、每个棱镜的水平位置和棱镜的厚度。该方法使用正则化的非线性反演与由l1范数数据残差定义的数据失拟函数(l1失拟解)。对合成数据的测试表明,在非目标源存在的情况下,l1错配方案在检索目标源的三维形状方面优于l2错配方案。在没有干扰信号的情况下,两种解决方案产生相似的结果。对巴西Anitápolis和Diorama碱性杂岩的实际数据应用表明,这两个杂岩均受断裂控制,与已发表的地质信息一致。
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引用次数: 0
Joint Reconstruction of Two-Component Seismic Data Based on Compressed Sensing and Complex Curvelet Transform 基于压缩感知和复曲线变换的双分量地震数据联合重建
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-13 DOI: 10.1111/1365-2478.70092
Wangyang Wang, Huixing Zhang, Bingshou He

Multicomponent seismic exploration technology comprehensively utilizes the dynamics and kinematics characteristics of seismic waves, which can reduce the non-uniqueness of seismic imaging and predict hydrocarbon-bearing reservoirs with high accuracy. However, multicomponent seismic data are often incomplete due to the constraints from field environment and acquisition costs. To address the problem of reconstructing multicomponent seismic data, conventional compressed sensing (CS)-based algorithms reconstruct each component independently, failing to exploit implicit relationships between different components. By mapping different components to the real and imaginary parts of complex numbers, we can quantify their intrinsic correlations through the mathematical structure of complex numbers and preserve the cross-information between different components. Therefore, under the framework of CS, we construct the objective function of joint reconstruction of two-component seismic data and propose a joint reconstruction method of two-component seismic data based on CS and complex Curvelet transform (CCT). First, we introduce complex numbers to establish the implicit relationship between different components by taking them as real and imaginary parts. The complex numbers constructed from different components are then subjected to the CCT as a whole. In this process, the joint sparsity of the two components is used as a priori information for data reconstruction. Finally, the proposed reconstruction model is solved using an improved fast projection onto convex sets. Experiments with synthetic and field data demonstrate that the proposed method effectively achieves the joint reconstruction of two-component seismic data. Compared with reconstruction methods only using a single component of seismic data, the proposed method exhibits higher computational efficiency and accuracy without increasing data dimensions.

多分量地震勘探技术综合利用地震波的动力学和运动学特征,可以减少地震成像的非唯一性,实现对含油气储层的高精度预测。然而,由于现场环境和采集成本的限制,多分量地震数据往往是不完整的。为了解决多分量地震数据的重建问题,传统的基于压缩感知(CS)的算法独立地重建每个分量,未能利用不同分量之间的隐式关系。通过将不同分量映射到复数的实部和虚部,可以通过复数的数学结构量化它们之间的内在关联,并保留不同分量之间的交叉信息。因此,在CS框架下,构建了双分量地震数据联合重构的目标函数,提出了一种基于CS和复曲线变换(CCT)的双分量地震数据联合重构方法。首先,我们引入复数,将其作为实部和虚部,建立不同分量之间的隐式关系。由不同成分构成的复数然后作为一个整体进行CCT。在此过程中,将两个分量的联合稀疏度作为数据重构的先验信息。最后,利用改进的凸集快速投影算法求解重构模型。实验结果表明,该方法有效地实现了双分量地震数据的联合重建。与仅使用地震数据单一分量的重建方法相比,该方法在不增加数据维数的情况下具有更高的计算效率和精度。
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引用次数: 0
Recipes for Transversely Isotropic Parameters from Backus Averaging 从巴克斯平均法求横向各向同性参数的方法
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-12 DOI: 10.1111/1365-2478.70075
Chris H. Chapman

A medium with homogeneous anisotropic layers that are thin compared with the elastic wavelength can be replaced with an equivalent anisotropic medium by the process of Backus averaging. The equivalent medium for isotropic and transversely isotropic layers (where the axis of symmetry is normal to the layering) is transversely isotropic. Transversely isotropic media can be described by the symmetry axis, two axial velocities and three dimensionless parameters. In this paper, we derive simple expressions for these dimensionless parameters in terms of differences of elastic parameters between the layers. We investigate the signs of the dimensionless parameters and conditions for zero parameters in layering with two isotropic media or an isotropic and a transversely isotropic medium.

采用Backus平均法,可以将各向异性均匀层较弹性波长薄的介质替换为等效各向异性介质。各向同性和横向各向同性层(对称轴垂直于层)的等效介质是横向各向同性的。横向各向同性介质可以用对称轴、两轴速度和三维参数来描述。在本文中,我们导出了这些无量纲参数在层间弹性参数差异的简单表达式。研究了两种各向同性或一种各向同性和一种横向各向同性介质分层时无量纲参数的符号和零参数的条件。
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引用次数: 0
A Data-Driven High-Resolution Imaging Based on the Cost-Effective Construction of Point-Spread Functions 基于点扩展函数高效构造的数据驱动高分辨率成像
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-07 DOI: 10.1111/1365-2478.70086
Zhikang Zhou, Shaoyong Liu, Wenjun Ni, Zhe Yan, Hanming Gu, Bin Zhang

Least-squares migration (LSM) is one of the most accurate imaging methods in seismic exploration. In recent years, image-domain LSM (ID-LSM) based on the approximated Hessian matrix has received widespread attention and development. How to effectively represent the Hessian matrix and implement the ID-LSM efficiently and stably remains challenging. This study proposes an efficient computation method for the Hessian matrix and develops a data-driven high-resolution imaging scheme to promote the application of LSM. Specifically, we first introduce the analytical expression of the Hessian matrix within the framework of inversion imaging, leveraging the sparsity of the Hessian matrix and using point-spread functions (PSFs) to approximate it. Then, considering the nonlinear characteristics of image-domain PSFs deconvolution, we employ deep learning to construct a data-driven imaging correction network. Finally, we incorporate features from the target data into the network, achieving efficient and faithful imaging of subsurface reflection coefficients. Through the computation cost analysis of PSFs construction, the developed method significantly reduces the computational costs, achieving only one-fourteenth of the modelling–migration method based on the wave equation. The synthetic and field data examples demonstrate the effectiveness of the proposed data-driven imaging scheme in both the spatial and wavenumber domains.

最小二乘偏移(LSM)是地震勘探中精度最高的成像方法之一。近年来,基于近似Hessian矩阵的图像域LSM (ID-LSM)得到了广泛的关注和发展。如何有效地表示Hessian矩阵,高效稳定地实现ID-LSM是一个具有挑战性的问题。本研究提出了一种高效的Hessian矩阵计算方法,并开发了一种数据驱动的高分辨率成像方案,以促进LSM的应用。具体来说,我们首先在反演成像框架内引入Hessian矩阵的解析表达式,利用Hessian矩阵的稀疏性并使用点扩散函数(psf)来近似它。然后,考虑到图像域psf反卷积的非线性特性,采用深度学习方法构建数据驱动的成像校正网络。最后,我们将目标数据的特征融合到网络中,实现了地下反射系数的高效、忠实成像。通过对psf构建的计算成本分析,该方法显著降低了计算成本,仅为基于波动方程的建模-偏移方法的十四分之一。综合数据和现场数据实例证明了数据驱动成像方案在空间和波数域的有效性。
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引用次数: 0
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Geophysical Prospecting
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