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Pre-Stack Seismic Inversion of Dual-Porosity Geometry in Deep Coalbed Methane Reservoirs Based on Decoupled Equivalent Medium Theory 基于解耦等效介质理论的深部煤层气储层双重孔隙几何结构叠前地震反演
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-10 DOI: 10.1111/1365-2478.70131
Fei Gong, Zhaoji Zhang, Suping Peng, Qiang Guo, Guowei Wang

Seismic inversion quantitatively extracts reservoir properties from seismic data, which has gained increasing attention in assisting the exploration and evaluation of deep coalbed methane (DCBM) reservoirs. However, the accuracy of seismic prediction is limited because the DCBM reservoirs exhibit complex pore geometries governed by a dual-porosity system. To address this limitation, the study presents a dual-porosity parameter seismic inversion method based on decoupled equivalent medium theory. A dual-porosity rock physics model is constructed and then decoupled to derive a linear forward operator that links matrix porosity, crack porosity and crack aspect ratio to the corresponding elastic parameters. To account for lithological variability, a Gaussian mixture model is employed to describe the joint prior probability distribution of dual-porosity parameters. Well-log data are applied to invert matrix porosity, crack porosity and crack aspect ratio, which serve as prior constraints in the iterative Bayesian inversion framework, thereby enhancing the stability and accuracy of the forward operator. By explicitly treating dual-porosity parameters as inversion targets, the proposed method effectively captures the spatial heterogeneity of pore geometries in DCBM reservoirs. Borehole-side synthetic seismic gather validation results demonstrate that the proposed approach significantly enhances inversion accuracy compared with conventional equivalent-porosity inversion methods. The application to pre-stack seismic data demonstrates the ability of the method to capture the dual-porosity geometry.

地震反演从地震资料中定量提取储层物性,在辅助深部煤层气储层勘探评价方面越来越受到重视。然而,由于DCBM储层具有复杂的孔隙结构,受双重孔隙系统的控制,地震预测的准确性受到限制。针对这一局限性,提出了一种基于解耦等效介质理论的双孔隙度参数地震反演方法。建立双孔隙度岩石物理模型,对其进行解耦,推导出将基质孔隙度、裂缝孔隙度和裂缝纵横比与相应弹性参数联系起来的线性正演算子。为了考虑岩性的可变性,采用高斯混合模型来描述双孔隙度参数的联合先验概率分布。利用测井数据反演矩阵孔隙度、裂缝孔隙度和裂缝纵横比,作为迭代贝叶斯反演框架的先验约束,提高了正演算子的稳定性和准确性。该方法明确将双重孔隙度参数作为反演目标,有效捕捉了DCBM储层孔隙几何形状的空间非均质性。井侧合成地震集验证结果表明,与传统等效孔隙度反演方法相比,该方法显著提高了反演精度。叠前地震数据的应用表明,该方法能够捕获双重孔隙度的几何形状。
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引用次数: 0
Seismic Attribute-Oriented Post-Stack Seismic Inversion 面向地震属性的叠后地震反演
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-07 DOI: 10.1111/1365-2478.70125
Ying Lin, Zhangbo Xiao, Siyuan Chen, Ming Zhang, Yue Zhao, Wenjun Xing

Seismic inversion can effectively establish the connection between seismic data and underground reservoir parameters. Aiming at the current problem of low accuracy of deterministic inversion, a seismic attribute-oriented deterministic inversion method is proposed. The method is similar to most inversion algorithms and consists of two parts: modelling and inversion. The innovation of the model lies in extracting seismic attributes and learning the mapping between the seismic attributes of the well-side and the parameters to be inverted based on the support vector regression (SVR) algorithm. Then, the mapping relationship is used to realize the modelling of the parameters to be inverted in the well-free area. Under the constraints of this model, seismic inversion is implemented through the Markov Chain Monte Carlo (MCMC) approach, yielding inversion results that exhibit strong consistency with the corresponding seismic responses. As the multi-trace structural attributes contain more high-frequency information, the resolution of the parameters to be inverted based on this model is also higher. We continue to conduct inversion tests using post-stack seismic data. The results show that seismic attribute-oriented inversion has a significant advantage in inversion resolution over partially deterministic inversion algorithms (model-based inversion, sparse spike inversion, etc.).

地震反演可以有效地建立地震资料与地下储层参数之间的联系。针对目前确定性反演精度低的问题,提出了一种面向地震属性的确定性反演方法。该方法与大多数反演算法相似,由建模和反演两部分组成。该模型的创新之处在于提取地震属性,并基于支持向量回归(SVR)算法学习井侧地震属性与待反演参数之间的映射关系。然后,利用映射关系实现非井区待反演参数的建模。在该模型的约束下,采用马尔可夫链蒙特卡罗(MCMC)方法进行地震反演,反演结果与相应的地震响应具有较强的一致性。由于多道结构属性包含更多的高频信息,基于该模型反演的参数分辨率也更高。我们继续利用叠后地震数据进行反演试验。结果表明,面向地震属性的反演在反演分辨率上优于部分确定性的反演算法(基于模型的反演、稀疏尖峰反演等)。
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引用次数: 0
3D Deep Learning Joint Inversion of Active Seismic Full Waveform and Passive Seismic Traveltime Data for Reservoir Imaging and Uncertainty Quantification 主动地震全波形与被动地震走时数据三维深度学习联合反演油藏成像与不确定性量化
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-05 DOI: 10.1111/1365-2478.70126
Evan Schankee Um, David Alumbaugh, Hanchen Wang, Youzuo Lin

We present deep learning (DL) networks for three-dimensional (3D) joint inversion of active seismic full waveform and passive seismic traveltime data to image reservoirs and their properties and quantify imaging uncertainties. Active seismic full-waveform data can provide high-resolution monitoring images but are collected only intermittently because of their high acquisition cost. In contrast, passive seismic data can be gathered at relatively low cost between regular active surveys, although their imaging quality can be compromised by factors such as low signal-to-noise ratios and limited ray coverage of the target. Although these datasets are routinely acquired together at CO2 storage sites, their combined inversion within a 3D DL framework has not been previously demonstrated. To our knowledge, this is the first study to address this gap, combining the strength of both data types. For efficient data storage and DL training with large 3D seismic datasets, we use a 3D data matrix in which a random number of passive seismic traveltime data are stored as parabolic envelopes using one-hot encoding and a 3D full-waveform data matrix in which multiple shot gathers are summed. Two network architectures are evaluated: a single-encoder U-Net for single-data type inversion and a dual-encoder U-Net for joint inversion of active and passive seismic data. We also evaluate the single-encoder U-Net for joint inversion by concatenating full-waveform data and traveltime data. We propose a systematic approach for selecting an optimal dropout rate that balances regularization during training and Monte Carlo dropout-based uncertainty quantification during prediction by examining the correlation coefficient between standard deviation and prediction error, along with the training misfit, across a range of dropout rates. 3D DL inversion experiments include five different network configurations, with evaluations under ideal, noisy and dropout-enabled conditions. Both model and data uncertainties are assessed, as well as their combined effects. Across all conditions, the networks consistently predict accurate CO2 saturation models with low prediction errors, such as a structural similarity index of 0.993 and CO2 difference of 1.1%. Uncertainty estimates show strong spatial correlation with prediction errors, confirming the effectiveness of the proposed dropout selection approach. The results demonstrate that our DL approach, utilizing compact data representations and appropriate uncertainty quantification, yields accurate subsurface images under various inversion conditions and provides valuable insights into the reliability of predictions.

我们提出了深度学习(DL)网络,用于主动地震全波形和被动地震走时数据的三维(3D)联合反演,以成像储层及其性质,并量化成像不确定性。活动地震全波形数据可以提供高分辨率的监测图像,但由于采集成本高,只能间歇性采集。相比之下,被动地震数据可以在定期主动调查之间以相对较低的成本收集,尽管其成像质量可能会受到低信噪比和目标射线覆盖范围有限等因素的影响。虽然这些数据集通常是在二氧化碳储存地点一起获得的,但它们在3D DL框架内的联合反演以前尚未得到证实。据我们所知,这是第一个解决这一差距的研究,结合了两种数据类型的优势。为了高效的数据存储和大型三维地震数据集的深度学习训练,我们使用了一个三维数据矩阵,其中随机数量的被动地震走时数据存储为抛物线包络,使用单热编码和一个三维全波形数据矩阵,其中多个镜头采集求和。评估了两种网络架构:用于单数据类型反演的单编码器U-Net和用于主动和被动地震数据联合反演的双编码器U-Net。我们还通过连接全波形数据和走时数据来评估单编码器U-Net联合反演。我们提出了一种系统的方法,通过检查标准偏差和预测误差之间的相关系数,以及在一定范围内的训练失配,来选择一个最优的辍学率,平衡训练过程中的正则化和预测过程中基于蒙特卡罗辍学率的不确定性量化。三维深度学习反演实验包括五种不同的网络配置,在理想、噪声和辍学条件下进行评估。评估了模型和数据的不确定性及其综合影响。在所有条件下,该网络均能准确预测CO2饱和度模型,预测误差较低,结构相似指数为0.993,CO2差异为1.1%。不确定性估计与预测误差表现出很强的空间相关性,证实了所提出的辍学选择方法的有效性。结果表明,我们的深度学习方法利用紧凑的数据表示和适当的不确定性量化,在各种反演条件下产生准确的地下图像,并为预测的可靠性提供了有价值的见解。
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引用次数: 0
Workflow for Volumetric Uncertainty and Sensitivity Analysis of Machine Learning-Interpreted Seismic Horizons at the Smeaheia CO2 Project Site Smeaheia CO2项目现场机器学习解释地震层的体积不确定性和敏感性分析工作流程
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-05 DOI: 10.1111/1365-2478.70119
Min Je Lee, Yonggwon Jung, Jun-Woo Lee, Yongchae Cho

As demand for large-scale seismic data interpretation tasks increases, machine learning-based horizon autotracking methods have gained attention in the geological and geophysical fields. Although such methods have demonstrated time- and cost-efficiency in large-scale data interpretation, studies on the expansion of interpreted horizons into the reservoir characterization process are relatively limited. Hence, a reservoir characterization process that can incorporate the machine learning-interpreted horizons and their structural uncertainties into the reservoir uncertainty assessment is necessary for an efficient reservoir modelling process. The proposed workflow consists of various modelling processes, including horizon construction where machine learning-interpreted horizons are used instead of manually interpreted horizons, facies modelling and petrophysical modelling. The modelling algorithms are based on stochastic methods: sequential indicator simulation for facies models and Gaussian random function simulation for petrophysical properties. Each modelling process incorporates variables such as variogram parameters, facies ratios and modified porosity values. The results show promising performance in incorporating machine learning-interpreted horizons into the uncertainty quantification process and analysing their impact by capturing the influence of structural uncertainties of horizons in the final reservoir pore volume.

随着大规模地震数据解释任务需求的增加,基于机器学习的层位自动跟踪方法在地质和地球物理领域受到了广泛关注。尽管这些方法在大规模数据解释中证明了时间和成本效益,但将解释层扩展到储层表征过程的研究相对有限。因此,将机器学习解释的层位及其结构不确定性纳入储层不确定性评估的储层表征过程对于有效的储层建模过程是必要的。提出的工作流程包括各种建模过程,包括层位构建,其中使用机器学习解释层位而不是手动解释层位,相建模和岩石物理建模。建模算法基于随机方法:相模型的顺序指示模拟和岩石物理性质的高斯随机函数模拟。每个建模过程都包含变量,如变异函数参数、相比和修改的孔隙度值。结果表明,将机器学习解释的层位纳入不确定性量化过程,并通过捕获层位结构不确定性对最终储层孔隙体积的影响来分析其影响,具有良好的性能。
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引用次数: 0
Unsupervised Physics-Guided Deconvolution for High-Resolution Hardrock Seismic Imaging 高分辨率硬岩地震成像的无监督物理引导反褶积
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-04 DOI: 10.1111/1365-2478.70123
Liuqing Yang, Alireza Malehmir, Magdalena Markovic

High-resolution seismic data are essential for interpreting thin-layered stratigraphy and subtle structures within hardrock media, as this information can lead to better exploration decisions in the mining sector. Conventional resolution enhancement techniques, such as spectral broadening and supervised deep-learning techniques, often rely on oversimplified assumptions or require high-resolution training labels. These limitations restrict their applicability in real seismic data processing, especially for hardrock seismic data, which are typically characterized by high velocities, strong heterogeneity and short reflector continuity due to complex emplacement contacts and geological settings. We propose an unsupervised seismic resolution enhancement framework that integrates physics-guided and attention-based mechanisms. The framework is designed to address the progressive loss of high-frequency information in seismic exploration and the limitations of conventional resolution enhancement methods, which struggle to balance imaging fidelity with geological interpretability. The proposed network incorporates coordinate attention blocks and the lightweight Vision Transformer, enabling more effective capture of spatial dependencies and long-range significant features in complex geological settings. Specifically, our approach utilizes a physics-constrained deconvolutional loss function, where the predicted reflectivity is regularized by an adaptive sparsity prior and convolved with a wavelet to synthesize seismic traces that are consistent with the observed data. In addition, a robust Charbonnier penalty ensures stable physical fitting, while anisotropic total variation regularization improves lateral continuity. Following this design, the model achieves end-to-end recovery of high-resolution seismic information without requiring high-resolution labels, thereby explicitly embedding physical constraints into the learning process. Testing results on synthetic and field datasets from two different regions demonstrate that the proposed method significantly enhances vertical resolution, reflector sharpness and lateral continuity, enabling more precise delineation of subtle stratigraphic features within the target intervals. Compared with spectral enhancement and conventional deep-learning methods, our approach achieves higher seismic reconstruction fidelity and more interpretable reflectivity, providing an option that combines robustness with interpretability for high-resolution imaging in complex geological conditions.

高分辨率地震数据对于解释硬岩介质中的薄层地层和微妙结构至关重要,因为这些信息可以帮助采矿业做出更好的勘探决策。传统的分辨率增强技术,如光谱展宽和监督深度学习技术,通常依赖于过于简化的假设或需要高分辨率的训练标签。这些局限性限制了它们在实际地震数据处理中的适用性,特别是对于由于复杂的侵位接触和地质环境而具有高速度、强非均质性和短反射连续性特征的硬岩地震数据。我们提出了一个无监督的地震分辨率增强框架,该框架集成了物理指导和基于注意的机制。该框架旨在解决地震勘探中高频信息的逐渐丢失以及传统分辨率增强方法的局限性,这些方法难以平衡成像保真度和地质可解释性。该网络结合了坐标关注块和轻量级视觉转换器,能够更有效地捕获复杂地质环境中的空间依赖性和远程重要特征。具体来说,我们的方法利用了物理约束的反卷积损失函数,其中预测的反射率通过自适应稀疏性先验进行正则化,并与小波卷积以合成与观测数据一致的地震迹线。此外,稳健的Charbonnier惩罚确保了稳定的物理拟合,而各向异性总变化正则化提高了横向连续性。按照这种设计,该模型实现了高分辨率地震信息的端到端恢复,而不需要高分辨率标签,从而明确地将物理约束嵌入到学习过程中。在两个不同地区的合成和现场数据集上的测试结果表明,该方法显著提高了垂直分辨率、反射器清晰度和横向连续性,能够更精确地圈定目标层段内的细微地层特征。与光谱增强和传统深度学习方法相比,我们的方法实现了更高的地震重建保真度和更高的可解释反射率,为复杂地质条件下的高分辨率成像提供了一种鲁棒性和可解释性相结合的选择。
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引用次数: 0
A Deep-Learning-Driven Optimization-Based Inverse Solver for Accelerating the Marchenko Method 一种基于深度学习驱动优化的加速Marchenko方法逆求解器
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-12-31 DOI: 10.1111/1365-2478.70121
Ning Wang, Tariq Alkhalifah

The Marchenko method is a powerful tool for reconstructing full-wavefield Green's functions using surface-recorded seismic data. These Green's functions can then be utilized to produce subsurface images that are not affected by artefacts caused by internal multiples. Despite its advantages, the method is computationally demanding, primarily due to the iterative nature of estimating the focusing functions, which links the Green's functions to the surface reflection response. To address this limitation, an optimization-based solver is proposed to estimate focusing functions in an efficient way. This is achieved by training a network to approximate the forward modelling problem on a small subset of pre-computed focusing function pairs, mapping final up-going focusing functions obtained via the conventional iterative scheme to their initial estimates. Once trained, the network is fixed and used as the forward operator within the Marchenko framework. For a given target location, an input is initialized and iteratively updated through backpropagation to minimize the mismatch between the output of the fixed network and the known initial up-going focusing function. The resulting estimate is then used to compute the corresponding down-going focusing function and the full Green's functions based on the Marchenko equations. This strategy significantly reduces the computational cost compared to the traditional Marchenko method based on the conventional iterative scheme. Tests on a synthetic model, using only 0.8% of the total imaging points for training, show that the proposed approach accelerates the imaging process while maintaining relatively good imaging results, which is better than single scattering imaging. Application to the Volve field data further demonstrates the method's robustness and practicality, highlighting its potential for efficient, large-scale seismic imaging.

马尔琴科方法是利用地面记录地震资料重建全波场格林函数的有力工具。然后,这些格林的函数可以用来产生不受内部倍数引起的伪影影响的地下图像。尽管有其优点,但该方法的计算要求很高,主要是由于估计聚焦函数的迭代性质,这将格林函数与表面反射响应联系起来。为了解决这一问题,提出了一种基于优化的求解器,以有效地估计聚焦函数。这是通过训练一个网络来逼近预先计算的一小部分聚焦函数对的正演建模问题,将通过传统迭代方案获得的最终上行聚焦函数映射到它们的初始估计来实现的。一旦训练完毕,网络就被固定,并用作马尔琴科框架内的前向算子。对于给定的目标位置,通过反向传播对输入进行初始化和迭代更新,以最小化固定网络输出与已知初始上行聚焦函数之间的不匹配。结果估计然后用于计算相应的下行聚焦函数和基于马尔琴科方程的完整格林函数。与基于传统迭代格式的马尔琴科方法相比,该策略显著降低了计算量。在仅使用总成像点的0.8%进行训练的合成模型上进行的测试表明,该方法在保持较好的成像结果的同时加速了成像过程,优于单一散射成像。在Volve油田数据中的应用进一步证明了该方法的鲁棒性和实用性,突出了其在高效、大规模地震成像方面的潜力。
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引用次数: 0
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
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Geophysical Prospecting
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