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Time-Domain-Normalized Cross-Correlation Denoising Method for Single-Frequency Interference in Seismic Data 地震资料单频干扰的时域归一化互相关去噪方法
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-30 DOI: 10.1111/1365-2478.70120
Song Chen, Lian Liu, Xuejing Zheng, Zhe Yan, Baomin Zhang

During seismic data processing, strong single-frequency interference noise often affects data quality. Traditional methods for single-frequency interference identification are typically conducted in the frequency domain, primarily by searching for abnormal peaks in the frequency spectrum of each trace. However, when the interference amplitude in the frequency domain is weak relative to the entire seismic frequency, the identification process becomes significantly more challenging. To address this issue, this article proposes a time-domain approach for identifying single-frequency interference. First, frequency analysis is performed on seismic data containing single-frequency interference to obtain the initial frequency f0${f_0}$, and sine and cosine signals with an amplitude of 1 at this frequency are then generated. Next, the seismic data are normalized to balance amplitude differences across different datasets in the time domain. After normalization, deep-time seismic data are cross-correlated with the generated sinusoidal and cosine signals, and correlation coefficient R is computed to determine whether suppression is necessary. On the basis of theoretical simulations and field data analysis, suppression is considered necessary when R > 0.001. Finally, for identified single-frequency interference, a hierarchical approximation method based on a cross-correlation objective function is employed to search for interference frequencies with finer step sizes near the initial frequency and calculate the corresponding amplitudes. The interference signal is subsequently subtracted in the time domain to achieve interference suppression. Through synthetic experiments and the application analysis of various field seismic data (including single-shot and stacked profiles), the proposed method demonstrates high efficiency and accuracy in identifying and suppressing single-frequency interference.

在地震资料处理过程中,较强的单频干扰噪声往往会影响数据质量。传统的单频干扰识别方法通常是在频域进行的,主要是通过在每个迹线的频谱中搜索异常峰。然而,当频率域中的干扰幅值相对于整个地震频率较弱时,识别过程就变得更加困难。为了解决这个问题,本文提出了一种识别单频干扰的时域方法。首先对含有单频干扰的地震资料进行频率分析,得到初始频率f 0 ${f_0}$,生成该频率上幅值为1的正弦、余弦信号。接下来,将地震数据归一化,以平衡不同数据集在时域上的振幅差异。归一化后,将深时地震数据与生成的正弦、余弦信号进行交叉相关,计算相关系数R,判断是否需要进行抑制。在理论模拟和现场数据分析的基础上,当R >; 0.001时,认为抑制是必要的。最后,对识别出的单频干扰,采用基于互相关目标函数的层次逼近方法,在初始频率附近搜索步长更细的干扰频率,并计算相应的幅值。干扰信号随后在时域内进行相减,实现干扰抑制。通过综合实验和多种现场地震资料(包括单次和叠加剖面)的应用分析,该方法在识别和抑制单频干扰方面具有较高的效率和准确性。
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引用次数: 0
Optimized Implicit Time–Space-Domain High-Order Staggered-Grid Finite-Difference Schemes for Acoustic Wave Simulation With Remez Exchange Algorithm 利用Remez交换算法优化隐式时-空高阶交错网格有限差分格式的声波模拟
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-16 DOI: 10.1111/1365-2478.70111
Fengquan Pang, Enjiang Wang

Staggered-grid finite-difference (FD) schemes are widely used in numerical simulation of seismic wave propagation. The traditional explicit staggered-grid scheme adopts the second-order temporal and explicit high-order spatial FD, so it easily suffers from significant temporal dispersion and the spatial operator–length saturation effect. The recently developed implicit time–space-domain high-order staggered-grid scheme for 2D acoustic wave simulation overcomes those two weaknesses effectively, yielding high-order accuracies in both time and space and thus better suppressing the numerical dispersion. However, the involved FD coefficients are generally determined by Taylor-series expansion (TE) or the least-squares (LS) method and still cannot effectively control spatial dispersion at the large wavenumber range. Adopting the same FD stencil, we alternatively determine the FD coefficients using a combination of TE and the Remez optimization algorithm. The temporal accuracy–related coefficients are determined by the TE of the time–space-domain dispersion relation, whereas the implicit spatial FD coefficients are calculated by using the Remez exchange optimization algorithm to effectively extend the effective wavenumber range while achieving a high-order temporal accuracy and consequently enhance the overall modelling accuracy. The newly optimized scheme is then extended into a 3D case. Dispersion and numerical analyses validate that the proposed new schemes better suppress the spatial dispersion while maintaining the high-order temporal accuracy and outperform the existing TE- and LS-based FD schemes. To further improve the modelling efficiency, the variable–operator–length strategy is combined. Numerical examples of the 2D and 3D complicated models validate the effectiveness of the combined scheme in reducing the operator length and consequently improving the modelling efficiency.

交错网格有限差分格式在地震波传播数值模拟中得到了广泛的应用。传统的显式交错网格方案采用二阶时间和显式高阶空间FD,容易出现明显的时间色散和空间算子长度饱和效应。最近提出的二维声波模拟的隐式时-空高阶交错网格格式有效地克服了这两个缺点,在时间和空间上都具有高阶精度,从而更好地抑制了数值色散。然而,所涉及的FD系数通常由泰勒级数展开(TE)或最小二乘(LS)方法确定,仍然不能有效地控制大波数范围内的空间色散。采用相同的FD模板,我们交替使用TE和Remez优化算法的组合来确定FD系数。时间精度相关系数由时-空色散关系的TE确定,隐式空间FD系数采用Remez交换优化算法计算,在获得高阶时间精度的同时有效地扩展了有效波数范围,从而提高了整体建模精度。然后将新优化的方案扩展到三维情况。色散和数值分析验证了新方案在保持高阶时间精度的同时更好地抑制了空间色散,优于现有的基于TE和ls的FD方案。为了进一步提高建模效率,将变算子长度策略相结合。二维和三维复杂模型的数值算例验证了该组合方案在减少算子长度从而提高建模效率方面的有效性。
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引用次数: 0
Full-Waveform Inversion With a Symmetric-Form Acoustic VTI Wave Equation 利用对称形式声波VTI波动方程进行全波形反演
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-16 DOI: 10.1111/1365-2478.70116
Gang Yao, Bo Wu, Pingmin Zhang, Nengchao Liu, Di Wu

Vertically transverse isotropic (VTI) acoustic wave equations are widely used to simulate wave propagation in VTI media. A commonly used acoustic VTI wave equation can be derived by setting the vertical shear-wave velocity to zero in the elastic VTI wave equation. However, the resulting acoustic VTI wave equation has a non-symmetric propagation operator, which leads to the operator of the adjoint equation in full-waveform inversion (FWI) being different from that of the forward equation. Consequently, two separate sets of code are required for simulating the forward and adjoint wavefields. To simplify code implementation, we propose a symmetric-form acoustic VTI equation. This new formulation allows both the forward and adjoint equations in FWI to share the same operator, enabling a unified code for both the forward and adjoint wavefield simulation and streamlined implementation. In addition, although both the symmetric and non-symmetric formulations yield the same gradient, the adjoint wavefield from the non-symmetric equation shows weaker amplitudes in deeper regions compared to that from the symmetric equation. As a result, FWI using the non-symmetric formulation may suffer from insufficient compensation when employing a spatial preconditioner based on an approximated diagonal pseudo-Hessian, leading to slower convergence. Numerical examples using the Marmousi2 and BP anisotropic models, as well as an ocean-bottom cable (OBC) field data set, demonstrate that the proposed symmetric-form acoustic VTI FWI achieves better inversion results and faster convergence than its non-symmetric counterpart.

垂直横向各向同性(VTI)声波方程被广泛用于模拟声波在垂直横向各向同性介质中的传播。将弹性VTI波动方程中的垂直横波速度设为零,可以推导出常用的声波VTI波动方程。然而,由此得到的声波VTI波动方程具有非对称的传播算子,这导致了全波形反演(FWI)中伴随方程的算子与正演方程的算子不同。因此,需要两套独立的代码来模拟正演波场和伴随波场。为了简化代码实现,我们提出了一个对称形式的声学VTI方程。这种新公式允许FWI中的前向和伴随方程共享同一个操作符,从而为前向和伴随波场模拟提供了统一的代码,并简化了实现。此外,尽管对称和非对称公式产生的梯度相同,但与对称方程相比,非对称方程的伴随波场在更深区域的振幅更弱。因此,当采用基于近似对角伪hessian的空间预条件时,使用非对称公式的FWI可能会受到补偿不足的影响,导致收敛速度较慢。利用Marmousi2和BP各向异性模型以及海底电缆(OBC)现场数据集的数值算例表明,所提出的对称形式声波VTI FWI比非对称形式声波VTI FWI具有更好的反演结果和更快的收敛速度。
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引用次数: 0
Geophysical Inversion via Hierarchical Bayesian Deep Learning with Statistical Sampling 基于统计抽样的层次贝叶斯深度学习地球物理反演
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-15 DOI: 10.1111/1365-2478.70113
Runhai Feng

Deep learning has been widely used to invert geophysical properties due to the availability of training data and an increased computing power. In particular, Bayesian deep learning is commonly applied to estimate the uncertainty of rock properties, which is essential for risk management and decision-making. However, the selection of appropriate prior parameters, such as the standard deviation in the Gaussian prior distribution placed on neural parameters including neural weights and biases, is crucial for training Bayesian neural networks (BNN), as it significantly impacts the prediction performance of the trained models. In this research, we introduce a hierarchical structure to the BNN, and the mean and standard deviation in the Gaussian prior placed on neural parameters are randomly drawn from hyper-priors, thus excluding the preliminary tuning runs with trial values. Compared to traditional BNN, a consistent prediction accuracy is achieved with an estimate of aleatoric and epistemic uncertainties when using the hierarchical Bayesian networks with different hyper-priors, thereby making them more robust against the choice of prior parameters. In addition, we apply the statistical sampling technique to reduce the overall size of the training data, which can proportionally decrease the training time of the deep learning models when large amounts of training data are available.

由于训练数据的可用性和计算能力的提高,深度学习已被广泛用于反演地球物理特性。特别是,贝叶斯深度学习通常用于估计岩石性质的不确定性,这对风险管理和决策至关重要。然而,选择合适的先验参数,如高斯先验分布对神经参数(包括神经权值和偏差)的标准差,对于训练贝叶斯神经网络(BNN)至关重要,因为它会显著影响训练模型的预测性能。在本研究中,我们在BNN中引入了一种分层结构,并且神经参数的高斯先验中的均值和标准差是从超先验中随机抽取的,从而排除了带有试验值的初步调整运行。与传统的神经网络相比,当使用具有不同超先验的分层贝叶斯网络时,通过估计任意不确定性和认知不确定性实现了一致的预测精度,从而使其对先验参数的选择更具鲁棒性。此外,我们应用统计抽样技术来减小训练数据的总体大小,当有大量的训练数据可用时,可以成比例地减少深度学习模型的训练时间。
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引用次数: 0
Accurate Seismic Data Interpolation With Multi-Band-Assisted Deep Learning 精确的地震数据插值与多波段辅助深度学习
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-09 DOI: 10.1111/1365-2478.70109
Xueyi Sun, Tongtong Mo, Benfeng Wang

Seismic data interpolation using convolutional neural networks (CNNs) suffers from accuracy limitations due to the inter-band interference across different frequency bands, which negatively affects subsequent inversion and interpretation. To address this limitation, we propose a multi-band strategy that first decomposes the seismic data into multiple sub-bands through frequency filtering. Independent CNN models are then used to process each specific frequency band to isolate spectral interference. We focus on regularly missing shots interpolation, assuming that dense receiver arrays are available during seismic acquisition with sparse shots. As for the training data preparation, the spatial reciprocity of Green's function is considered, which guarantees the similarity between common shot gathers (CSGs) and common receiver gathers (CRGs). The available dense CSGs are used to train networks using the multi-band-assisted training strategy. The resulting optimized independent models are then employed to reconstruct missing shots in sparse CRGs for each frequency band separately. Interpolated multi-band data are finally fused by summation to obtain the full-band result. Numerical experiments on synthetic and field data demonstrate that the proposed multi-band-assisted training strategy provides superior interpolation accuracy compared to traditional full-band training, particularly in mitigating cross-band interference.

利用卷积神经网络(cnn)进行地震数据插值,由于不同频带间的干扰,其精度受到限制,对后续的反演和解释产生不利影响。为了解决这一限制,我们提出了一种多波段策略,首先通过频率滤波将地震数据分解成多个子波段。然后使用独立的CNN模型对每个特定频段进行处理,以隔离频谱干扰。我们的重点是定期缺失镜头插值,假设密集的接收器阵列在稀疏拍摄的地震采集过程中可用。在训练数据准备方面,考虑了格林函数的空间互易性,保证了共同投篮集(csg)和共同接球集(crg)之间的相似性。采用多波段辅助训练策略,利用现有的密集csg对网络进行训练。然后将得到的优化独立模型分别用于稀疏crg中每个频带的缺失镜头重建。最后对插值后的多波段数据进行求和融合,得到全波段结果。合成和现场数据的数值实验表明,与传统的全频带训练相比,所提出的多频带辅助训练策略具有更高的插值精度,特别是在减轻跨频带干扰方面。
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引用次数: 0
Electrical Resistivity Tomography, Induced Polarization and Unconventional Self-Potential Techniques Applied to Landslide Imaging 电阻率层析成像、感应极化和非常规自电位技术在滑坡成像中的应用
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-08 DOI: 10.1111/1365-2478.70112
Oziel Souza de Araújo, Roberto G. Francese, Stefano Picotti, Federico Fischanger, Massimo Giorgi, Nicola Pellingheli

This study describes an integrated landslide monitoring program in the landslide-prone Tizzano Val Parma region (Italy) using traditional and innovative geoelectrical techniques, namely, electrical resistivity tomography (ERT), induced polarization (IP) and self-potential (SP) methods. Both the conventional fixed-base and the unconventional sparse gradient array configurations were adopted. The use of analytic signal amplitude (ASA) technique enabled for a better recognition of primary SP anomaly sources, for the sparse gradient arrays, providing useful insights in delineating areas of interest. The region faces recurrent landslides due to geological and geomorphological factors, leading to high hydrogeological instabilities and environmental risks. Borehole stratigraphy reveals a complex lithology of sandstones, clayey marl, and coarse materials. The ERT–IP survey provides insights into various landslide types, identifying distinct domains including complex quiescent, active and undetermined landslides. Active fault evolution is observed, indicating potential risk zones. Sparse gradient SP monitoring captures short-term electrokinetic anomalies and stable long-term variations between 2022 and 2023. Both fixed-base and sparse gradient SP monitoring highlight displacement anomalies towards the valley, suggesting potential landslide movements. Interpretation of SP maps allowed to identify preferential water flow directions which denote probable accentuating risks during intense rainfall events. This study emphasizes the significance of integrated geoelectrical monitoring for early landslide detection. Non-conventional and conventional SP arrays provide insights into anomaly repeatability and stability. Comparison of ERT–IP results with borehole information enables the extrapolation of geological characteristics, yielding a holistic understanding of subsurface structures and potential risk zones. Integration of these methodologies contributes to effective landslide management, underscoring the dynamic nature of landslide-prone regions and the necessity for ongoing risk assessment and monitoring.

本研究描述了在滑坡易发地区(意大利)的Tizzano Val Parma地区使用传统和创新的地电技术,即电阻率层析成像(ERT)、感应极化(IP)和自电位(SP)方法进行滑坡综合监测的项目。采用了传统的固定基和非常规的稀疏梯度阵列配置。使用分析信号幅度(ASA)技术可以更好地识别主要SP异常源,对于稀疏梯度阵列,为描绘感兴趣的区域提供有用的见解。受地质地貌因素影响,该地区滑坡频发,水文地质不稳定性高,环境风险大。钻孔地层揭示了砂岩、粘土泥灰岩和粗糙物质的复杂岩性。ERT-IP调查提供了对各种滑坡类型的见解,确定了不同的领域,包括复杂的静态、活跃和未确定的滑坡。观察到活动断层演化,提示潜在危险区。稀疏梯度SP监测捕获了2022 - 2023年间的短期电动力学异常和稳定的长期变化。固定基础和稀疏梯度SP监测都突出了向山谷方向的位移异常,表明潜在的滑坡运动。SP图的解释允许确定优先水流方向,这表明在强降雨事件期间可能加剧的风险。本研究强调了综合地电监测在滑坡早期检测中的重要意义。非常规和常规SP阵列可以深入了解异常的可重复性和稳定性。将ERT-IP结果与井眼信息进行比较,可以推断地质特征,从而全面了解地下结构和潜在风险区域。这些方法的综合有助于有效地管理滑坡,突出了滑坡易发地区的动态性质和不断进行风险评估和监测的必要性。
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引用次数: 0
3D Point, Line, Edge and Wedge Diffraction Separation in Kirchhoff Imaging Kirchhoff成像中的三维点、线、边和楔形衍射分离
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-08 DOI: 10.1111/1365-2478.70115
Pavel Znak, Dirk Gajewski

Three-dimensional (3D) diffraction processing aims at superresolution by imaging small-scale geological features of the subsurface localized as points and space curves. In analogy to the (anti-) stationary phase filtering, we separate images of points from images of lines by weighting the Kirchhoff migration. In addition to the deviation from the specularity and Snell's law, the new summation weights verify the conformity of seismic traces to Keller's law of edge diffraction. In addition to that, the configuration of the reflectors determines the diffraction phase reversal pattern specific to isolated lines, edges and wedges. To counteract the summation of the opposite phases in 3D, we provide extra alternating factors for edge and wedge diffraction. All these weights require local orientation of diffractors and reflectors, which we simultaneously retrieve from the full-wave image by a modification of the slant-stack search. Synthetic examples show the benefits of the proposed techniques.

三维衍射处理的目的是将地下小尺度地质特征以点和空间曲线的形式进行成像,从而达到超分辨率。与(反)平稳相位滤波类似,我们通过加权基尔霍夫迁移将点图像与线图像分离。除了与镜面率和斯涅尔定律的偏差外,新的加权求和验证了地震迹线与凯勒边缘衍射定律的一致性。除此之外,反射器的配置决定了特定于隔离线、边缘和楔形的衍射相位反转模式。为了抵消3D中相反相位的总和,我们为边缘和楔形衍射提供了额外的交替因子。所有这些权重都需要衍射器和反射器的局部方向,我们通过修改斜堆栈搜索同时从全波图像中检索。综合实例显示了所提出的技术的好处。
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引用次数: 0
GP special issue - Advances in Geophysical Modeling and Interpretation for Mineral Exploration GP特刊-矿物勘查地球物理模拟与解释的进展
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-01 DOI: 10.1111/1365-2478.70114
Arkoprovo Biswas, Roman Pašteka, Michael S. Zhdanov, Anand Singh, Yunus Levent Ekinci, Çağlayan Balkaya
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引用次数: 0
On the Performance Evaluation of Deep Learning Models for Seismic Facies Segmentation 地震相分割深度学习模型的性能评价
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-01 DOI: 10.1111/1365-2478.70104
Gabriel B. Gutierrez, Carlos A. Astudillo, Otávio O. Napoli, Daniel B. de Miranda, Alan Souza, João P. Navarro, Edson Borin

The transformative impact of deep-learning architectures on machine learning has been substantial. Recently, a wide range of studies have successfully applied these methods to seismic facies segmentation using well-established public datasets, such as F3 and SEAM AI. However, many of these works lack detailed descriptions of their methodologies and implementation details, including dataset partitioning, hyperparameter settings and other critical aspects. The lack of reproducibility information makes fair comparison between studies quite difficult, as methodological details can heavily affect the results obtained. In this work, we discuss this problem and present a fair comparison between five state-of-the-art models commonly used in the literature: DeepLab V3, DeepLab V3+, Segmenter, SegFormer and SETR. We found that the SETR model has promising performance on both the F3 and SEAM AI datasets and convolutional neural network models offer a higher performance to parameter count ratio compared to the transformer models.

深度学习架构对机器学习的变革性影响是巨大的。最近,广泛的研究已经成功地将这些方法应用于地震相分割,使用成熟的公共数据集,如F3和SEAM AI。然而,许多这些工作缺乏对其方法和实现细节的详细描述,包括数据集划分,超参数设置和其他关键方面。由于缺乏可重复性信息,使得研究之间的公平比较相当困难,因为方法细节可能严重影响所获得的结果。在这项工作中,我们讨论了这个问题,并在文献中常用的五种最先进的模型之间进行了公平的比较:DeepLab V3, DeepLab V3+, Segmenter, SegFormer和SETR。我们发现SETR模型在F3和SEAM AI数据集上都有很好的性能,卷积神经网络模型与变压器模型相比具有更高的参数计数比性能。
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引用次数: 0
Implicit Neural Representations for Unsupervised Seismic Data Interpolation From Single Gather 单次采集无监督地震数据插值的隐式神经网络表示
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-01 DOI: 10.1111/1365-2478.70110
Ganghoon Lee, Snons Cheong, Yunseok Choi

Missing seismic traces from data acquisition limits often significantly degrade data quality. This study presents an unsupervised method using implicit neural representation (INR), specifically sinusoidal representation network (SIREN), to enhance seismic data quality from a single shot gather. Notably, the unsupervised framework trains the SIREN by optimizing it on the observed traces in the single-gather data. The network learns a continuous function, enabling the reconstruction of missing data at any spatio-temporal coordinate. This algorithm directly addresses both missing trace interpolation and the enhancement of sparsely sampled data resolution. Key network design choices, such as exponential frequency scaling and dense skip connections, are shown to enhance reconstruction accuracy by mitigating spectral bias and incorporating multi-scale features. Furthermore, our analysis of different coordinate handling strategies identifies a key trade-off on the geometry setting. Reframing interpolation as a super-resolution task enables the successful reconstruction of up to 75% regularly missing traces and can maintain continuity across large gaps of up to 10 traces. However, this method proves geometrically inaccurate for irregular missing data, as it discards true physical coordinates, leading to incorrect solutions. In contrast, strategies that maintain physical coordinates show significantly degraded performance when faced with such large-scale data gap. The proposed framework successfully interpolated multichannel seismic data and enhanced sparse ocean bottom cable (OBC) data resolution. Although challenges remain for large irregular gaps and computational efficiency, this work establishes SIREN as a promising unsupervised tool for single-gather seismic interpolation and sparse data resolution enhancement without requiring external training data.

由于数据采集限制,缺少地震轨迹往往会显著降低数据质量。本研究提出了一种使用隐式神经表示(INR),特别是正弦表示网络(SIREN)的无监督方法,以提高单次采集的地震数据质量。值得注意的是,无监督框架通过对单次采集数据中观察到的轨迹进行优化来训练SIREN。该网络学习一个连续函数,可以在任何时空坐标上重建缺失的数据。该算法直接解决了缺失迹插值和增强稀疏采样数据分辨率的问题。关键的网络设计选择,如指数频率缩放和密集跳跃连接,通过减轻频谱偏差和结合多尺度特征来提高重建精度。此外,我们对不同坐标处理策略的分析确定了几何设置上的关键权衡。重构插值作为一项超分辨率任务,可以成功重建高达75%的常规缺失轨迹,并且可以在多达10条轨迹的大间隙中保持连续性。然而,对于不规则缺失数据,这种方法在几何上是不准确的,因为它丢弃了真实的物理坐标,导致不正确的解。相比之下,当面对如此大规模的数据缺口时,保持物理坐标的策略表现出明显的性能下降。该框架成功地插值了多通道地震数据,并提高了稀疏海底电缆(OBC)数据的分辨率。尽管在巨大的不规则间隙和计算效率方面仍然存在挑战,但这项工作使SIREN成为一种有前途的无监督工具,可以在不需要外部训练数据的情况下进行单采集地震插值和稀疏数据分辨率的增强。
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引用次数: 0
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Geophysical Prospecting
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