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Robust Surface-Wave Full-Waveform Inversion Using a Sigmoid-Modulated Instantaneous-Phase Coherency Misfit 利用s型调制的瞬相相干失拟实现表面波全波形的鲁棒反演
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-02-02 DOI: 10.1111/1365-2478.70139
Jianhuan Liu, Shuo Wang, Munirdin Tohti

Surface-wave full-waveform inversion (FWI) has emerged as a powerful technique for resolving high-resolution S-wave velocity (Vs) structures in shallow seismic investigations. However, strong surface-wave dispersion often exacerbates the cycle-skipping problem, and field-recorded wavefields are frequently affected by amplitude errors. To mitigate these challenges, we propose a misfit function that integrates an amplitude-unbiased instantaneous-phase coherency (IPC) measure with sigmoid modulation. The sigmoid function reshapes the objective function landscape by suppressing spurious local minima while preserving the robustness of phase-based metrics against amplitude variations. Notably, this approach is straightforward to implement, as it directly builds upon the existing IPC framework and can be readily adapted to other misfit functions. Synthetic tests demonstrate that the proposed sigmoid-modulated IPC misfit function significantly improves inversion convergence and enhances the recovery of deeper subsurface anomalies. Compared with conventional IPC-based FWI, the modulated approach yields sharper anomaly boundaries and exhibits greater resilience to random noise, achieving lower relative percentage error (RPE) in noisy data scenarios. Application to a published field dataset from an archaeological site in Southern Germany further validates the method's robustness. Inversions with and without sigmoid modulation produce broadly consistent Vs structures that align well with features independently confirmed by archaeological excavations. Although the high quality of the initial model limits the observable advantage of the modulated objective in this specific case, the sigmoid-modulated IPC approach demonstrates faster convergence, reaching a lower misfit value within fewer iterations due to its improved objective function landscape. These findings confirm that the proposed method is a practical and reliable alternative for field-scale surface-wave FWI applications, particularly in environments prone to amplitude errors and cycle skipping.

表面波全波形反演(FWI)已成为浅层地震调查中解决高分辨率横波速度(Vs)结构的有力技术。然而,强表面波色散往往加剧了周期跳变问题,并且现场记录的波场经常受到振幅误差的影响。为了缓解这些挑战,我们提出了一种失配函数,该函数集成了无偏幅瞬时相位相干(IPC)测量和s型调制。s型函数通过抑制虚假的局部极小值来重塑目标函数景观,同时保持基于相位的度量对振幅变化的鲁棒性。值得注意的是,这种方法很容易实现,因为它直接构建在现有的IPC框架上,并且可以很容易地适应其他不适合的功能。综合实验表明,提出的s型调制IPC失拟函数显著改善了反演收敛性,提高了深层地下异常的恢复能力。与传统的基于ipcc的FWI相比,调制方法产生更清晰的异常边界,对随机噪声具有更强的弹性,在噪声数据场景下实现更低的相对百分比误差(RPE)。对德国南部考古遗址公布的现场数据集的应用进一步验证了该方法的稳健性。带和不带s型调制的反转产生了广泛一致的v型结构,与考古发掘独立证实的特征很好地吻合。尽管初始模型的高质量限制了调制目标在这种特定情况下的可观察性优势,但s型调制IPC方法显示出更快的收敛速度,由于其改进的目标函数结构,在更少的迭代中达到更低的失拟值。这些研究结果证实,对于现场规模的表面波FWI应用,特别是在容易出现幅度误差和周期跳变的环境中,所提出的方法是一种实用且可靠的替代方案。
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引用次数: 0
Viscoelastic Multiparameter Full Waveform Inversion Using OBN Data 基于OBN数据的粘弹性多参数全波形反演
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-31 DOI: 10.1111/1365-2478.70133
Li Han, Tong Sun, Xingguo Huang, Stewart Greenhalgh, Min Ouyang, Dun Deng

Full-waveform inversion (FWI) is a powerful technique for constructing high-resolution subsurface models, which are essential for hydrocarbon exploration, field development and the interpretation of deep Earth structures. However, seismic signals are often subject to amplitude decay and phase distortion due to intrinsic attenuation, which can significantly degrade inversion accuracy, particularly when attenuation and the associated velocity dispersion effects are not accounted for. To address these challenges, there is an increasing demand for multiparameter viscoelastic FWI methods that can simultaneously invert for both velocity and attenuation models. In this study, we present a novel P- and S-wave separation approach based on the nearly constant-Q viscoelastic model. The proposed method incorporates a gradient preconditioning technique designed to improve inversion accuracy by mitigating the interference between the gradients of P- and S-wave velocities—a persistent issue in multiparameter inversions, particularly in the presence of anomalous geological bodies. We derive the necessary formulations for wavefield separation and gradient preprocessing using the pseudo-Hessian operator and validate the methodology through numerical simulations based on the Marmousi-2 model and real ocean bottom node (OBN) data. The results demonstrate that the proposed method significantly enhances inversion accuracy, particularly in geologically complex regions. This approach offers a promising solution for achieving more precise subsurface imaging in viscoelastic media.

全波形反演(FWI)是一种构建高分辨率地下模型的强大技术,对于油气勘探、油田开发和地球深部结构解释至关重要。然而,由于固有衰减,地震信号经常受到幅度衰减和相位畸变的影响,这可能会显著降低反演精度,特别是当衰减和相关的速度色散效应未被考虑在内时。为了应对这些挑战,人们对多参数粘弹性FWI方法的需求不断增加,这种方法可以同时反演速度和衰减模型。在这项研究中,我们提出了一种新的基于近常q粘弹性模型的纵波和横波分离方法。该方法结合了一种梯度预处理技术,旨在通过减轻横波和纵波速度梯度之间的干扰来提高反演精度,这是多参数反演中一个持续存在的问题,特别是在存在异常地质体的情况下。利用伪hessian算子推导了波场分离和梯度预处理的必要公式,并通过基于Marmousi-2模型和实际海底节点(OBN)数据的数值模拟对方法进行了验证。结果表明,该方法显著提高了反演精度,特别是在地质复杂地区。这种方法为在粘弹性介质中实现更精确的地下成像提供了一种很有前途的解决方案。
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引用次数: 0
Research Note: Analysis of the Born Approximation 研究说明:玻恩近似的分析
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-29 DOI: 10.1111/1365-2478.70140
Douglas Foster

The Born approximation has been extensively used to approximate scattered waves in a variety of areas in physics. The Born approximation utilizes specific terms of a series expansion and the general issues of convergence of the series and accuracy of the approximations are difficult to ascertain. I use a simple one-interface model to examine these issues for both acoustic and elastic wavefields. The series converges in the normal incidence case, although to a value that is less accurate than that of the first-order approximation. Also, for normal incidence and two-dimensional acoustic waves, the series contains only odd terms. At non-normal incidence angles the inclusion of higher order terms does increase accuracy over a reasonable range of incidence angles, but ultimately diverges from the exact reflection coefficient at large reflection angles. The series for elastic waves contains both odd and even terms, and the effects of mode conversions begin with the even second-order term. Adding the second-order term for the elastic case provides a more accurate prediction than the first-order term alone, yet it is unclear if additional terms will continue to improve the accuracy of the approximation for non-normal incidence.

玻恩近似在物理学的许多领域被广泛用于近似散射波。玻恩近似利用了级数展开的特定项,而级数的收敛性和近似的准确性等一般问题很难确定。我使用一个简单的单界面模型来检查声学和弹性波场的这些问题。该级数在正常情况下收敛,尽管收敛到的值不如一阶近似值精确。此外,对于正入射和二维声波,该序列只包含奇数项。在非法向入射角下,包含高阶项确实在合理的入射角范围内增加了精度,但最终偏离了大反射角下的精确反射系数。弹性波的级数包含奇数项和偶数项,模态转换的影响从偶数二阶项开始。在弹性情况下,加入二阶项比单独使用一阶项提供了更准确的预测,但目前尚不清楚额外的项是否会继续提高非正态发生率近似的准确性。
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引用次数: 0
Inversion Study of Goaf and Water-Rich Zones in the Renjiazhuang Coal Mine Using the ESPAC Method 用ESPAC方法反演任家庄煤矿采空区及富水区
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-28 DOI: 10.1111/1365-2478.70135
Xiaodong Wang, Guangui Zou, Jiale Liu, Yanhai Liu, Jiulong Cheng, Jiasheng She, Siyun Wang

We aim to explore the distribution characteristics of coal mine goaf and water-rich areas and improve the accuracy of underground hidden structure identification. We take the Renjiazhuang Coal Mine in Ningxia as a case study and deploy a linear station array to acquire microtremor data. Surface–wave dispersion curves are extracted using the spatial autocorrelation (SPAC) and extended spatial autocorrelation (ESPAC) methods. We then invert the S-wave velocity structure using a genetic algorithm (GA) and a simulated annealing (SA) algorithm. The results show that ESPAC provides better noise resistance in the low-frequency band and yields more continuous and higher resolution dispersion curves than SPAC. In addition, the GA inversion outperforms the SA inversion in terms of convergence accuracy and stability. The low-velocity anomalies identified from the GA inversion are highly consistent with the actual goaf and water-rich zones, demonstrating the accuracy and applicability of the combined ESPAC–GA approach under complex geological conditions. We provide a technical reference for the application of microtremor technology in complex geological environments and lay a foundation for the optimisation of subsequent multimodal fusion and inversion algorithms.

探讨煤矿采空区和富水区的分布特征,提高地下隐伏构造识别的准确性。以宁夏任家庄煤矿为例,采用线性站阵采集微震数据。采用空间自相关(SPAC)和扩展空间自相关(ESPAC)方法提取表面波色散曲线。然后,我们使用遗传算法(GA)和模拟退火(SA)算法反演s波速度结构。结果表明,与SPAC相比,ESPAC在低频波段具有更好的抗噪声性能,得到的色散曲线更连续、分辨率更高。此外,GA反演在收敛精度和稳定性方面优于SA反演。GA反演识别的低速异常与实际采空区和富水区高度吻合,证明了ESPAC-GA联合方法在复杂地质条件下的准确性和适用性。为微震技术在复杂地质环境中的应用提供了技术参考,为后续多模态融合和反演算法的优化奠定了基础。
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引用次数: 0
Fast 3D Large-Scale Forward Modelling of Vector and Tensor Magnetic Fields Using the FFT-Based Spectral Method 基于fft谱法的矢量和张量磁场快速三维大尺度正演模拟
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-28 DOI: 10.1111/1365-2478.70127
Xiaozhong Tong, Wei Xie, Mengli Zhang

Traditional partial differential equation (PDE)-based numerical methods for modelling three-dimensional (3D) magnetic potential require solving a large, sparse linear system using either matrix inversion or iterative solvers. The corresponding computational cost can present considerable challenges for large-scale 3D magnetic inversions. Additionally, the accuracy of the computed magnetic anomalies, such as the magnetic field vector and magnetic gradient tensor, derived through finite-element or finite-difference approximations, may degrade due to the inherent limitation of the numerical differentiations of the magnetic potential. To address these challenges, we present a fast Fourier transform (FFT)-based spectral scheme aimed at effectively simulating the boundary value problem associated with the 3D magnetic potential. By applying the 3D FFT technique along three Cartesian axes to Poisson's equation, the corresponding PDE in the spatial domain is converted to an algebraic equation in the wavenumber domain, allowing for the straightforward computation of the magnetic potential. Additionally, the vector and tensor magnetic fields can be computed with high precision by utilizing the differential operators of the Fourier transform for spatial derivatives. Through applications to two synthetic and SEG/EAGE salt models, we validate the numerical accuracy and computational efficiency of our proposed method. Compared with other approaches in similar classes, such as the hybrid wavenumber-domain finite-element method, the proposed FFT-based spectral method has a higher accuracy and requires lower computational cost and time. Thus, the new method is superior in the forward and inverse modelling of large-scale magnetic problems.

传统的基于偏微分方程(PDE)的三维磁势数值模拟方法需要使用矩阵反演或迭代求解器求解大型稀疏线性系统。相应的计算成本对大规模三维磁反演提出了相当大的挑战。此外,由于磁势数值微分的固有局限性,通过有限元或有限差分近似导出的磁场矢量和磁梯度张量等计算磁异常的精度可能会降低。为了解决这些挑战,我们提出了一种基于快速傅里叶变换(FFT)的频谱方案,旨在有效地模拟与3D磁势相关的边值问题。通过将三维FFT技术沿三个笛卡尔轴应用于泊松方程,将空间域中相应的偏微分方程转换为波数域的代数方程,从而可以直接计算磁势。此外,利用傅里叶变换的微分算子进行空间导数,可以高精度地计算矢量和张量磁场。通过对两种合成盐模型和SEG/EAGE盐模型的应用,验证了该方法的数值精度和计算效率。与同类方法(如混合波数域有限元法)相比,本文提出的基于fft的频谱方法具有更高的精度,且计算成本和时间更短。因此,该方法在大尺度磁场问题的正演和逆演方面具有优越性。
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引用次数: 0
Joint Microearthquake Source Location and Velocity Updates for Carbon Sequestration Monitoring 联合微震源定位和速度更新用于碳封存监测
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-28 DOI: 10.1111/1365-2478.70138
Zhendong Zhang, Yang Liu, Nori Nakata, Shogo Masaya

CO2${rm CO}_2$ sequestration has shown an important potential to reduce greenhouse gases in the atmosphere. One of the key aspects of CO2${rm CO}_2$ sequestration is geological storage, which aims to store CO2${rm CO}_2$ safely over a long period with low risks. Geophysical monitoring of the reservoir is required for this objective, with microearthquakes from injection serving as indicators for assessing changes in seismic velocity over time. We develop a geometry optimization algorithm that can significantly reduce the number of required microearthquake events for velocity estimation while balancing the subsurface illumination. A modified source-independent waveform inversion algorithm is proposed to eliminate the negative effects of the usually unknown origin time and source wavelets. However, the non-linearity of the objective function also increases, requiring at least 94% of the starting model's accuracy to avoid convergence to local minima in a synthetic experiment. Furthermore, we design a neural network that takes the traveltime difference of P- and S-wave arrivals to relocate the microearthquakes. We test various scenarios, including noisy data, parameter crosstalk, inaccurate source location and unknown source wavelet, based on the Illinois Basin Decatur CO2${rm CO}_2$ storage project. Finally, we apply the developed algorithms to the field data and discuss their advantages and weaknesses. In practice, the poor azimuthal coverage of microearthquakes and borehole sensors may limit the quality of final images. The developed algorithms are also applicable to seismological imaging of the Earth using ambient or active seismic sources.

co2封存在减少大气中温室气体方面显示出重要的潜力。地质封存是二氧化碳封存技术的一个重要方面,其目的是长期安全、低风险地封存二氧化碳。为了实现这一目标,需要对储层进行地球物理监测,注入产生的微地震可以作为评估地震速度随时间变化的指标。我们开发了一种几何优化算法,该算法可以显着减少速度估计所需的微地震事件数量,同时平衡地下照明。提出了一种改进的源无关波形反演算法,以消除通常未知的源时间和源小波的负面影响。然而,目标函数的非线性也增加了,在合成实验中,至少需要初始模型94%的精度才能避免收敛到局部极小值。此外,我们还设计了一个神经网络,利用纵波和横波到达的走时差来定位微地震。本文以美国伊利诺斯州盆地Decatur CO 2$ {rm CO}_2$存储项目为例,测试了各种场景,包括噪声数据、参数串扰、源定位不准确和未知源小波。最后,我们将所开发的算法应用于现场数据,并讨论了它们的优缺点。在实际应用中,微震和钻孔传感器的方位角覆盖较差可能会限制最终图像的质量。所开发的算法也适用于利用环境震源或活动震源对地球进行地震成像。
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引用次数: 0
Pressure-Dependent Anisotropic Elastic Properties of Cracked Artificial Shale With Varying Crack and Background Porosity 裂隙与背景孔隙度变化的裂隙人工页岩压力相关各向异性弹性特性
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-21 DOI: 10.1111/1365-2478.70136
Tongcheng Han, Zixuan Du

Characterization of cracks is a key issue in shale oil and gas that have become increasingly important in the hydrocarbon industry. Seismic exploration is frequently employed for the characterization of cracks in shale reservoirs. However, the accurate interpretation of seismic data for characterizing cracks in shale reservoirs remains a significant challenge, primarily due to an insufficient understanding of how subsurface pressure affects the anisotropic elastic properties of cracked shales. To address this knowledge gap, this study systematically investigates the effects of confining pressure on the anisotropic elastic properties of cracked artificial shales, with a specific focus on decoupling the distinct roles of background porosity and crack porosity. The five anisotropic elastic velocities were measured on manufactured shale samples with varying crack and background porosity, respectively, and the corresponding anisotropic parameters, Young's moduli and Poisson's ratios were derived as a function of confining pressure. The results demonstrate that the influence of crack porosity on reducing the velocities and on enhancing the elastic anisotropy is significantly more pronounced than that of background porosity. Notably, the velocities across the cracks, Vp(0°) and Vsh(0°), exhibit the greatest sensitivity to pressure changes, especially in samples with high crack porosity. Consequently, all the anisotropic parameters reduce exponentially with increasing confining pressure, with the reduction being most significant in shales with either the lowest background porosity or the highest crack porosity. The pressure-dependent geomechanical properties (Young's moduli and Poisson's ratios) reveal that the direction parallel to cracks remains the most favourable path for hydraulic fracturing, particularly under low confining pressure and in rocks with high crack porosity. These findings provide critical insights for improving the quantitative interpretation of seismic data for characterizing cracks and for optimizing hydraulic fracturing design in shale reservoirs.

裂缝的表征是页岩油气中的一个关键问题,在油气工业中已变得越来越重要。地震勘探是页岩储层裂缝表征的常用方法。然而,准确解释页岩储层裂缝特征的地震数据仍然是一个重大挑战,主要是因为人们对地下压力如何影响裂缝页岩的各向异性弹性特性了解不足。为了解决这一知识差距,本研究系统地研究了围压对裂缝人造页岩各向异性弹性特性的影响,特别关注了背景孔隙度和裂缝孔隙度的不同作用。在不同裂缝和背景孔隙度的人造页岩样品上分别测量了5种各向异性弹性速度,并推导了相应的各向异性参数、杨氏模量和泊松比作为围压的函数。结果表明,裂纹孔隙度对降低速度和增强弹性各向异性的影响要明显大于背景孔隙度。值得注意的是,通过裂纹的速度Vp(0°)和Vsh(0°)对压力变化表现出最大的敏感性,特别是在高裂纹孔隙率的样品中。因此,各向异性参数随围压的增加呈指数级降低,且在背景孔隙度最低或裂缝孔隙度最高的页岩中降低最为显著。与压力相关的地质力学特性(杨氏模量和泊松比)表明,平行于裂缝的方向仍然是水力压裂最有利的路径,特别是在低围压和高裂缝孔隙度的岩石中。这些发现为改进地震数据的定量解释、裂缝特征和优化页岩储层水力压裂设计提供了重要见解。
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引用次数: 0
CKDSR: Seismic Super-Resolution Through Contrastive Knowledge Distillation 基于对比知识蒸馏的地震超分辨率
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-20 DOI: 10.1111/1365-2478.70129
Yun-Peng Shi, Lin-Rong Wang, Fan Min

Enhancing seismic data resolution is a crucial step for geological interpretation and imaging. Deep learning-driven resolution enhancement primarily depends on sophisticated network architectures and extensive datasets. A lightweight seismic super-resolution model based on contrastive learning and knowledge distillation is proposed. Knowledge distillation is implemented by training a compact student network to mimic a powerful teacher model, thereby reducing reliance on extensive datasets and complex architectures. Contrastive learning is leveraged to align the bottleneck features encoded from the teacher network with the ones from the student network across different noisy inputs. The student network's total loss comprises a supervised loss with ground-truth labels, a distillation loss with the teacher's pseudo-labels and a feature-matching loss derived from the bottleneck features of both networks. The comparative experiments were conducted on four field datasets and 3200 pairs of slices extracted from 800 pairs of synthetic three-dimensional seismic cubes. Experimental results demonstrate that the proposed model achieves similar to or better performance than the comparison models for noise suppression and weak signal recovery, even with only 6.8%$6.8%$ parameters and 37.5%$37.5%$ training data compared to the reference model.

提高地震资料的分辨率是地质解释和成像的关键步骤。深度学习驱动的分辨率增强主要依赖于复杂的网络架构和广泛的数据集。提出了一种基于对比学习和知识蒸馏的轻量级地震超分辨模型。知识蒸馏是通过训练一个紧凑的学生网络来模拟一个强大的教师模型来实现的,从而减少了对大量数据集和复杂架构的依赖。利用对比学习将来自教师网络的瓶颈特征编码与来自不同噪声输入的学生网络的瓶颈特征进行对齐。学生网络的总损失包括一个带有真值标签的监督损失,一个带有教师伪标签的蒸馏损失,以及一个来自两个网络的瓶颈特征的特征匹配损失。对比实验采用4个现场数据集和从800对合成三维地震立方体中提取的3200对切片进行。实验结果表明,该模型在噪声抑制和弱信号恢复方面达到了与参考模型相似或更好的性能,即使参数仅为6.8%,训练数据仅为37.5%。
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引用次数: 0
Vector-Based and Machine Learning Approaches for Pore Network Parameters Analysis 基于向量和机器学习的孔隙网络参数分析方法
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-01-19 DOI: 10.1111/1365-2478.70117
José Frank V. Gonçalves, José J. S. de Figueiredo, João Rafael B. S. Da Silveira, Pedro T. P. Aum, Daniel N. N. Da Silva

Accurate characterization of pore structures in carbonate rocks is critical for evaluating fluid flow and storage capacity in subsurface reservoirs, a key concern in geophysical exploration and reservoir engineering. This study proposes a hybrid digital rock physics workflow that integrates deep learning–based segmentation, vectorial geometric analysis and clustering techniques to investigate pore-scale features using x-ray micro-computed tomography at resolutions of 22 and 42 μ$mu$ m. A convolutional neural network (CNN) enhances the segmentation ofcomplex pore geometries, addressing the limitations of conventional thresholding methods. To estimate the representative elementary volume, two-dimensional porosity (ϕ$phi$) distributions were integrated into three-dimensional space using Riemannian methods. Pore connectivity (Z¯$bar{Z}$) was quantified via the coordination number (Z$Z$), derived from a vector-based analysis of local tangents and orthogonals, enabling precise identification of throats and pore networks. CNN models were trained on two carbonate samples (IL033 and IL636), achieving training accuracies of 0.9850 and 0.9914 and validation accuracies of 0.9854 and 0.9918, respectively. Total porosity (ϕt$phi _t$) estimates from the CNN and classical segmentation approaches were compared to experimental data, with the deep learning approach showing superior performance, especially in capturing isolated or poorly connected pores at higher resolutions. This integrated methodology offers a powerful framework for quantifying microstructural heterogeneity and its influence on pore connectivity and geometry, contributing to more realistic geophysical modelling and reservoir simulation.

碳酸盐岩孔隙结构的准确表征是评价地下储层流体流动和储集能力的关键,是地球物理勘探和储层工程研究的重点。该研究提出了一种混合数字岩石物理工作流程,该工作流集成了基于深度学习的分割、矢量几何分析和聚类技术,利用分辨率为22和42 μ $mu$ m的x射线微计算机断层扫描研究孔隙尺度特征。卷积神经网络(CNN)增强了复杂孔隙几何形状的分割。解决传统阈值方法的局限性。为了估计具有代表性的基本体积,使用黎曼方法将二维孔隙度(ϕ $phi$)分布整合到三维空间中。孔隙连通性(Z¯$bar{Z}$)通过配位数(Z $Z$)进行量化,配位数来源于基于矢量的局部切线和正交线分析,从而能够精确识别喉道和孔隙网络。在两种碳酸盐样品(IL033和IL636)上训练CNN模型,训练精度分别为0.9850和0.9914,验证精度分别为0.9854和0.9918。将CNN和经典分割方法估计的总孔隙度(ϕ t $phi _t$)与实验数据进行比较,深度学习方法表现出卓越的性能,特别是在以更高分辨率捕获孤立或连接不良的孔隙方面。这种综合方法为量化微观结构非均质性及其对孔隙连通性和几何形状的影响提供了强大的框架,有助于更真实的地球物理建模和油藏模拟。
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引用次数: 0
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
期刊
Geophysical Prospecting
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