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On the Scaled Boundary Finite Element Method for Magnetotelluric Modelling 大地电磁建模的尺度边界有限元法
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-19 DOI: 10.1111/1365-2478.70122
VS Suvin, Sachin Gunda, Ean Tat Ooi, Chongmin Song, Sundararajan Natarajan

The solution of magnetotelluric equations is used to determine the apparent resistivity and to model the electromagnetic field's behaviour within the Earth. In this paper, we extend the scaled boundary finite element method (SBFEM) to compute the solutions of magnetotelluric equations. The salient features of the proposed framework are that internal features and boundaries are captured through a quadtree decomposition. The SBFEM handles the resulting hanging nodes as a part of local refinement efficiently without needing additional constraints or shape functions. Further, we employ patterns to speed up the computations of the essential matrices without compromising accuracy. The results from the present approach are compared with other approaches, and it is seen that the SBFEM framework is not only efficient but also accurate. The efficacy and robustness are demonstrated with a few examples.

大地电磁方程的解用于确定视电阻率和模拟地球内部的电磁场行为。本文将尺度边界有限元法推广到大地电磁方程的求解中。该框架的显著特点是通过四叉树分解捕获内部特征和边界。SBFEM在不需要附加约束或形状函数的情况下,有效地将产生的悬挂节点作为局部细化的一部分进行处理。此外,我们使用模式来加速基本矩阵的计算,而不影响精度。将本文方法的结果与其他方法进行了比较,结果表明SBFEM框架不仅有效而且准确。算例验证了该方法的有效性和鲁棒性。
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引用次数: 0
Multiple Elimination Using Model-Driven Self-Supervised Learning With an Attention Mechanism 基于注意机制的模型驱动自监督学习多重消除
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-19 DOI: 10.1111/1365-2478.70128
Ying shi, Peinan Bao, Wei Zhang

Multiples are generally considered coherent noise in conventional seismic migration. If they are not appropriately separated or eliminated from the observed reflection data, it can result in significant artefacts of the migration image, which will adversely affect subsequent structural interpretation and reservoir description. Inspired by the state-of-the-art model-driven deep learning methods, we have proposed a self-supervised deep-learning approach for multiple elimination. The proposed method contains two parts. The first one is that we use the conventional multiple prediction approach to predict the initial surface-related multiple reflections. The second part is to build a multiple-elimination model based on a deep neural network. In the deep neural network, the input is set as the predicted initial surface-related multiples from a conventional method and the label is set as the observed reflection data with primaries and multiples. Therefore, the proposed approach is a kind of self-supervised deep-learning multiple-elimination model. The deep neural network component of our proposed approach can be interpreted as a corrector in conventional methods that performs amplitude and phase correction on predicted multiples. Moreover, we combine the advantages of L1 and L2 loss functions and introduce the attention mechanism to improve the inversion efficiency and accuracy of self-supervised deep networks. Through some experiments with synthesized and field data, we demonstrate that the proposed self-supervised deep-learning approach can effectively and efficiently eliminate multiples from the observed data. It excels in both accuracy and efficiency compared to traditional method.

在常规地震偏移中,多次波通常被认为是相干噪声。如果没有从观测到的反射数据中适当地分离或消除它们,可能会导致迁移图像出现明显的伪影,这将对后续的构造解释和储层描述产生不利影响。受最先进的模型驱动深度学习方法的启发,我们提出了一种用于多重消除的自监督深度学习方法。该方法包括两个部分。第一种方法是利用传统的多次反射预测方法来预测与地表相关的初始多次反射。第二部分是建立基于深度神经网络的多重消除模型。在深度神经网络中,输入被设置为传统方法预测的初始表面相关倍数,标签被设置为具有原色和倍数的观测反射数据。因此,所提出的方法是一种自监督深度学习多重消除模型。我们提出的方法的深度神经网络组件可以被解释为传统方法中的校正器,对预测的倍数进行幅度和相位校正。结合L1和L2损失函数的优点,引入注意机制,提高自监督深度网络的反演效率和精度。通过对综合数据和现场数据的实验,我们证明了所提出的自监督深度学习方法可以有效地消除观测数据中的倍数。与传统方法相比,该方法在精度和效率方面都具有优势。
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引用次数: 0
Efficient Bayesian Active Learning with Langevin Dynamics for Reservoir Porosity Inversion 基于Langevin动力学的高效贝叶斯主动学习储层孔隙度反演
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-18 DOI: 10.1111/1365-2478.70130
Runhai Feng, Daniele Colombo, Ersan Turkoglu, Ernesto Sandoval-Curiel

We propose a novel physics-guided deep learning framework for geophysical inversion that integrates Langevin Monte Carlo (LMC) sampling to quantify uncertainties in model parameters. A statistical sampling strategy is employed to enhance computational efficiency by reducing the number of required samples while preserving diversity and informativeness. The training data for the supervised learning networks are iteratively expanded with outputs from a stochastic sampler and their corresponding observed responses, ensuring representative coverage of the model space. The Jensen–Shannon divergence is adopted as the loss function for training the network model, in which the Gaussian assumption is applied to enable analytical computation. The developed workflow is evaluated on reservoir porosity inversion, where it successfully reconstructs porosity patterns in the subsurface, yielding results that closely match the reference model. Compared to traditional LMC algorithm applied to the entire data cube, the proposed approach attains substantial computational efficiency by leveraging an active learning strategy that identifies and utilizes a limited yet representative subset of the observations. The results demonstrate the effectiveness of the proposed method, highlighting its potential for application to a wide range of geophysical inverse problems.

我们提出了一种新的物理指导的地球物理反演深度学习框架,该框架集成了Langevin Monte Carlo (LMC)采样来量化模型参数中的不确定性。采用统计抽样策略,在保持多样性和信息量的同时,减少了所需样本的数量,提高了计算效率。监督学习网络的训练数据通过随机采样器的输出及其相应的观察响应进行迭代扩展,以确保模型空间的代表性覆盖。采用Jensen-Shannon散度作为损失函数训练网络模型,其中采用高斯假设进行解析计算。开发的工作流程在储层孔隙度反演中进行了评估,成功地重建了地下孔隙度模式,所得结果与参考模型非常吻合。与应用于整个数据立方体的传统LMC算法相比,所提出的方法通过利用主动学习策略来识别和利用有限但具有代表性的观测子集,从而获得了可观的计算效率。结果证明了该方法的有效性,突出了其在广泛的地球物理反演问题中的应用潜力。
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引用次数: 0
Robust Subsurface Velocity and Density Estimation via Seismic Inversion With Global Misfit Minimisation and Full-Offset Moveout 基于全球失配最小化和全偏移位移的地震反演鲁棒地下速度和密度估计
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-13 DOI: 10.1111/1365-2478.70124
Vita Kalashnikova, Rune Øverås
<div> <p>Accurate estimation of seismic velocity and density models is essential for subsurface imaging and characterisation. We propose a global optimisation framework to estimate non-linked P-wave velocity (<i>V<sub>p</sub></i>) and density (<i>ρ</i>) for post-stack seismic data, and <i>V<sub>p</sub></i>, <i>ρ</i> and S-wave velocity (<i>V<sub>s</sub></i>) for pre-stack data, by minimising the misfit between non-corrected normal moveout (non-NMO) observed and synthetic seismic gathers. We demonstrate that a non-linear, underdetermined and complex problem can be addressed by introducing an additional constraint on one of the parameters, using non-linear forward modelling combined with global optimisation algorithms. The synthetic seismic gathers are iteratively generated by randomly and simultaneously updating initial models. Updates are accepted on the basis of the simulated annealing method, a global optimisation technique that helps to prevent entrapment in local minima. Optimisation is performed by minimising an L2-norm misfit function. For the pre-stack case, the observed seismic data are a real gather. For the post-stack case, the observed gather is formed from the full stacked seismic trace, taken as a near trace, and the reflectors are spread along moveout curves that are computed from the smoothed log of <i>V<sub>p</sub></i>. A two-parameter search (<i>V<sub>p</sub></i>, <i>ρ</i>) is launched in the post-stack case, whereas a three-parameter search (<i>V<sub>p</sub></i>, <i>ρ</i> and <i>V<sub>s</sub></i>) is used when pre-stack data are available, with both starting from smoothed initial models. To reduce the number of iterations by at least one order of magnitude and to increase computational efficiency, initial estimates of the <i>V<sub>p</sub></i> and <i>ρ</i> models can first be obtained from the post-stack process using well logs. Then, the full three-parameter search is performed, starting with initially estimated models for <i>V<sub>p</sub></i>, <i>ρ</i> and smoothed <i>V<sub>s</sub></i>. The proposed methodologies offer an approach for estimating elastic properties and for overcoming the limitations of conventional seismic inversion. The approach eliminates reliance on regression techniques, which often oversimplify the complex, nonlinear relationships between seismic data and subsurface properties; avoids linearisation of the inversion process, which can introduce errors again due to the inherently nonlinear nature of geological properties; and bypasses the need for normal moveout (NMO) correction, which can cause amplitude stretching and distort critical amplitude information, because the algorithm utilises the moveout. By working with fully migrated 1D gathers, we assume a constant velocity across all offsets, which allows us to bypass full wave-equation modelling while maintaining acceptable accuracy. Additionally, the framework supports the implementation of alternative global optimisation strategies.</p>
准确估计地震速度和密度模型对地下成像和表征至关重要。我们提出了一个全局优化框架,通过最小化观测到的非校正正常移动(non-NMO)和合成地震聚集之间的不匹配,来估计叠后地震数据的非链接纵波速度(Vp)和密度(ρ),以及叠前数据的Vp、ρ和s波速度(Vs)。我们证明了一个非线性的、不确定的和复杂的问题可以通过在其中一个参数上引入额外的约束来解决,使用非线性正演建模结合全局优化算法。合成地震道是通过随机同步更新初始模型来迭代生成的。在模拟退火方法的基础上接受更新,这是一种全局优化技术,有助于防止陷入局部最小值。优化是通过最小化l2范数错配函数来实现的。对于叠前情况,观测到的地震数据是真实的收集。对于叠后情况,观测到的聚集是由全叠地震道形成的,作为近道,反射体沿着从Vp的光滑对数计算得到的移出曲线扩散。在叠后情况下启动双参数搜索(Vp, ρ),而在叠前数据可用时使用三参数搜索(Vp, ρ和Vs),两者都从平滑的初始模型开始。为了将迭代次数减少至少一个数量级并提高计算效率,可以首先使用测井曲线从叠后过程中获得Vp和ρ模型的初始估计。然后,从Vp、ρ和平滑vs的初始估计模型开始,进行完整的三参数搜索。所提出的方法提供了一种估计弹性特性的方法,并克服了传统地震反演的局限性。该方法消除了对回归技术的依赖,回归技术通常会过度简化地震数据与地下属性之间复杂的非线性关系;避免了反演过程的线性化,由于地质性质固有的非线性性质,线性化可能再次引入误差;并且绕过了正常移出(NMO)校正的需要,这可能导致幅度拉伸和扭曲关键幅度信息,因为该算法利用了移出。通过处理完全迁移的一维数据集,我们假设所有偏移量的速度都是恒定的,这使得我们可以绕过完整的波动方程建模,同时保持可接受的精度。此外,该框架支持可选的全局优化策略的实施。
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引用次数: 0
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
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Geophysical Prospecting
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