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Revisiting the Normalized Attenuation Coefficients of Plane P- and SV-Waves in Attenuative VTI Media and Their Effects on Parameter Inversion 衰减型VTI介质中平面P波和sv波的归一化衰减系数及其对参数反演的影响
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-07 DOI: 10.1111/1365-2478.70088
Qi Hao, Stewart Greenhalgh, Xingguo Huang

Analytical formulae for P- and SV-wave normalized attenuation coefficients play a key role in attenuation anisotropy parameter estimation in dissipative transversely isotropic media with a vertical symmetry axis. We revisit approximate formulae for the P- and SV-wave normalized attenuation coefficients. We use perturbation theory to derive accurate formulae for P- and SV-waves in such media. The proposed formulae can reduce to simple expressions for attenuative elliptical anisotropic media and isotropic media. From the perturbation-based formulae, we obtain the linearized formulae, the second-order formulae and the fractional formulae. We use numerical examples to test the accuracy of the proposed formulae and implement the perturbation-based formulae and the second-order formulae in an inversion scheme to estimate the attenuation anisotropy parameters. From the numerical examples, we analyse the validity of the approximate formulae in computing the normalized attenuation coefficients and attenuation anisotropy parameter estimation.

在具有垂直对称轴的耗散横各向同性介质中,P波和sv波归一化衰减系数解析公式在衰减各向异性参数估计中起着关键作用。我们重新讨论了P波和sv波归一化衰减系数的近似公式。我们利用摄动理论推导出这种介质中P波和sv波的精确公式。对于衰减型各向异性介质和各向同性介质,所提出的公式可以简化为简单的表达式。从基于微扰的公式中,我们得到了线性化公式、二阶公式和分数阶公式。通过数值算例验证了所提公式的准确性,并在反演方案中实现了基于微扰的公式和二阶公式来估计衰减各向异性参数。通过数值算例,分析了近似公式在归一化衰减系数计算和衰减各向异性参数估计中的有效性。
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引用次数: 0
A 3D Shallow Velocity Model Building Method Using the Joint Inversion of First-Arrival and Reflection Traveltimes Constrained by Well Data 基于井资料约束下初至和反射走时联合反演的三维浅层速度模型建立方法
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-07 DOI: 10.1111/1365-2478.70089
Wanli He, Jianzhong Zhang, Fei Ma, Junjie Sun, Jie Chen

Prestack depth migration requires a velocity model that extends from the surface through shallow to deep layers. Generally, the shallow velocity model is built using first-arrival wave, under which the velocity model is built from reflected wave. These two models are integrated to form a continuous velocity model spanning from the surface to deep layers. Conventional shallow velocity model building methods are restricted by non-uniqueness of inversion, limited inversion depth and poorly defined reflection interface, which hinders their integration with deeper reflection-derived velocity models. Errors in the shallow velocity model can compromise the imaging quality of mid-deep. In this article, we propose a 3D shallow velocity model building method using the joint inversion of first-arrival and reflection traveltimes constrained by well data. This approach enables simultaneous inversion of velocity and reflection interfaces, thereby facilitating the integration of shallow and mid-deep velocity models. Combining the first-arrival and reflected waves enhances ray coverage angles and folds. By constraining the inversion for velocity and reflection interface with logging velocity and drilling depth, respectively, the method effectively mitigates the non-uniqueness of inversion, thereby improving the accuracy of shallow velocity model. The inverted reflection interface can also be used for integration of shallow velocity model and its underlying velocity model. The theoretical model test proves the feasibility of the method, and the field data application verifies the effectiveness of the method.

叠前深度偏移需要一个从地表到浅层到深层的速度模型。一般采用首到波建立浅层速度模型,首到波下采用反射波建立浅层速度模型。将这两个模型综合起来,形成了一个从表层到深层的连续速度模型。传统的浅层速度模型建立方法存在反演非唯一性、反演深度有限、反射界面定义不清等问题,阻碍了浅层速度模型与深层反射速度模型的整合。浅层速度模型的误差会影响中深层成像质量。在本文中,我们提出了一种三维浅层速度模型的建立方法,该方法利用井数据约束下的初至和反射走时联合反演。这种方法可以同时反演速度和反射界面,从而促进浅、中深速度模型的整合。结合初到波和反射波,增强了射线覆盖角和褶皱。该方法通过将速度和反射界面反演分别约束于测井速度和钻井深度,有效缓解了反演的非唯一性,从而提高了浅层速度模型的精度。逆反射界面也可用于浅层速度模型与底层速度模型的积分。理论模型试验证明了该方法的可行性,现场数据应用验证了该方法的有效性。
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引用次数: 0
Joint Inversion of Electromagnetic and Direct Current Resistivity Data Using Trust Regions. Application to Uranium Exploration in the Athabasca Basin 利用信赖域联合反演电磁和直流电阻率数据。在阿萨巴斯卡盆地铀矿勘查中的应用
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-07 DOI: 10.1111/1365-2478.70079
Ali Mohand-Said, Guy Marquis, Serge Sambolian, Jean-François Girard, Grant Harrison, Elodie Williard

The Athabasca Basin (Saskatchewan, Canada) is a world-class uranium mining province hosting high-grade high-tonnage deposits. Electromagnetic data and direct current resistivity data are essential tools to detect deep geoelectric structures associated with mineralization. Both methods are sensitive to electrical resistivity but highlight different structures. On the one side, electromagnetic methods reveal deeply buried, highly conductive graphitic structures. On the other side, direct current resistivity methods reveal milder contrasts of resistivity at shallower depths. We are here exploring the benefits that can be expected from two-dimensional joint inversion of electromagnetic and direct current resistivity data for the exploration of unconformity-related uranium deposits of the Athabasca Basin. Our methodology is recovering a single resistivity model to fit both datasets. We used a trust-region globalization approach to regularize the local minimization sub-problems, thus avoiding the task of regularization parameter tuning. Several tests are first conducted on synthetic models. These tests show that stand-alone electromagnetic inversions are able to recover the position of conductive plates, but their geometry remains uncertain. On stand-alone direct current resistivity inversions, the layered background is recovered, as well as smeared anomalies of resistivity associated with graphitic conductors. Whenever a conductive halo overlies a conductive plate, the wide anomaly associated with the plate appears more conductive and slightly shallower but the conductive plate and the halo cannot be distinguished. In the presence of two closely spaced conductors, the conductive anomaly appears more conductive and wider, so that they cannot be distinguished. On stand-alone electromagnetic inversions, however, their separation is clear, but electromagnetic measurements are blind to alteration halos. Joint inversions give the most reliable models. Both the resistive background and the conductive plates are recovered. A better constrained background allows to recover more contrasted plates. Synthetic tests allowed us to confirm the potential to recover the footprint of a hectometric-scale conductor overlying a plate using joint inversion, where both stand-alone inversions failed. Following these synthetic tests, we present an application of our methodology to a dataset from the Waterbury–Cigar Lake area. Joint inversion allows to recover a geoelectric model reconciling both datasets. The model shows conductors better constrained below the depth of unconformity, allowing for interpretations of resistivity variations above them.

阿萨巴斯卡盆地(加拿大萨斯喀彻温省)是一个世界级的铀矿开采省,拥有高品位的高吨位矿床。电磁数据和直流电阻率数据是探测与矿化有关的深部地电结构的重要工具。两种方法都对电阻率敏感,但结构不同。一方面,电磁方法揭示了深埋的高导电性石墨结构。另一方面,直流电阻率方法显示较浅深度的电阻率对比较温和。我们在这里探索二维电磁电阻率和直流电阻率数据联合反演对勘探阿萨巴斯卡盆地不整合相关铀矿床的好处。我们的方法是恢复一个单一的电阻率模型来拟合两个数据集。我们使用信任域全球化方法对局部最小化子问题进行正则化,从而避免了正则化参数调整的任务。首先在综合模型上进行了若干试验。这些测试表明,独立的电磁反转能够恢复导电板的位置,但它们的几何形状仍然不确定。在单独的直流电阻率反演中,可以恢复分层背景,以及与石墨导体相关的电阻率的模糊异常。当导电晕覆盖在导电板上时,与导电板相关的宽异常看起来更导电且略浅,但导电板和导电晕无法区分。在两个紧密间隔的导体存在时,导电异常看起来更导电,更宽,因此无法区分。然而,在独立的电磁反转中,它们的分离是明确的,但电磁测量对变化晕是盲目的。联合反演给出了最可靠的模型。电阻背景和导电板都恢复了。一个更好的约束背景允许恢复更多的对比板。综合测试使我们确认了使用联合反演恢复覆盖在板上的百米尺度导体的足迹的潜力,其中两种独立反演都失败了。在这些综合测试之后,我们将我们的方法应用于沃特伯里-雪茄湖地区的数据集。联合反演可以恢复两个数据集的地电模型。该模型显示导体在不整合深度以下受到更好的约束,从而可以解释其上方的电阻率变化。
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引用次数: 0
Evaluating Elastic Parameters of a CO2 Plume Using Model-Based and Sparse Layer Reflectivity Inversion of Time-Lapse Seismic Data: A Case Study 基于模型和稀疏层反射率反演时移地震资料评价CO2羽流弹性参数的实例研究
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-07 DOI: 10.1111/1365-2478.70085
G. Hema, S. P. Maurya, Nitin Verma, Ravi Kant, Ajay P. Singh, Brijesh Kumar, Raghav Singh, K. H. Singh
<div> <p>The objective of this research is to estimate the elastic properties of the CO<sub>2</sub> plume in the Sleipner field and perform a comparative analysis of model-based inversion (MBI) and sparse layer reflectivity (SLR) inversion techniques. MBI is relatively old method, whereas SLR is relatively new method for seismic inversion. Model-based seismic inversion is a well-established deterministic inversion technique that iteratively minimizes the misfit between observed and modelled seismic data. In contrast, SLR inversion is designed to identify and analyse the reflectivity of thin subsurface layers by emphasizing sparsity in the reflectivity sequence. This study utilizes a set of time-lapse seismic angle stack data from the Sleipner field, comprising a 1994 pre-injection baseline and a 1999 post-injection monitor survey, following the injection of 2.35 million tons of CO<sub>2</sub>. These angle stacks were used to generate P-wave and S-wave reflectivity using the two-term Fatti amplitude versus offset (AVO) equation, which was then further utilized in the inversion process to estimate the elastic parameters. Acoustic and shear impedance (SI) were derived using MBI and SLR to evaluate their strengths, limitations, computational efficiency and adaptability to geological changes. In the CO<sub>2</sub>-injected zone, acoustic impedance values were observed between 2000 and 2400 m/s g/cm<sup>3</sup>, whereas SI values ranged from 100 to 400 m/s g/cm<sup>3</sup>. Our findings suggest that overall, MBI produces sharper and more reliable imaging across the entire seismic section. For P-impedance, MBI yielded correlation values of 0.980 with an error of 0.137 in 1994 and 0.989 with an error of 0.141 in 1999 datasets, whereas SLR showed higher correlation at the well location 0.997 with an error of 0.073 in 1994 and 0.998 with an error of 0.061 in 1999. For S-impedance, MBI achieved correlation values of 0.860 with an error of 0.650 in 1994 and 0.974 with an error of 0.265 in 1999 datasets. In comparison, SLR produced a correlation of 0.995 with an error of 0.072 in 1994 and 0.951 with an error of 0.370 in 1999 datasets at the well location. However, similar to the P-impedance case, whereas SLR performed well at the well location, its application to the full seismic volume resulted in reduced performance, characterized by noisier results and longer processing time. A comparative evaluation of MBI and SLR indicates that MBI offers greater efficiency, simpler implementation and faster computational performance. As a result, the impedance outputs obtained from MBI were subsequently converted into density, P-wave velocity and S-wave velocity using empirical relationships derived from well log data. In the seismic volumes, a significant change in the reservoir's elastic properties was observed in the CO<sub>2</sub>-saturated zone, compared to the Utsira Formation, which serves as the reservoir into which CO<sub>2</sub> has been inj
本研究的目的是估算Sleipner油田CO2羽流的弹性特性,并对基于模型的反演(MBI)和稀疏层反射率(SLR)反演技术进行对比分析。MBI是一种比较古老的地震反演方法,而SLR是一种比较新的地震反演方法。基于模型的地震反演是一种成熟的确定性反演技术,它可以迭代地最小化观测数据与模拟地震数据之间的不拟合。相比之下,单反反演通过强调反射率序列的稀疏性来识别和分析薄次表层的反射率。本研究利用了Sleipner油田的一组延时地震角度叠加数据,包括1994年注入前基线和1999年注入后监测调查,随后注入了235万吨二氧化碳。这些角度叠加利用两项Fatti振幅与偏移量(AVO)方程来生成纵波和横波反射率,然后在反演过程中进一步利用该方程来估计弹性参数。利用MBI和SLR推导了声波和剪切阻抗(SI),评估了它们的优势、局限性、计算效率和对地质变化的适应性。在co2注入区,声阻抗值在2000 ~ 2400 m/s g/cm3之间,而SI值在100 ~ 400 m/s g/cm3之间。我们的研究结果表明,总的来说,MBI在整个地震剖面上产生了更清晰、更可靠的成像。对于p阻抗,MBI在1994年和1999年数据集的相关值分别为0.980和0.989,误差分别为0.137和0.141,而SLR在井位处的相关性较高,分别为0.997和0.973和0.998,误差分别为0.061。对于s阻抗,MBI在1994年的相关值为0.860,误差为0.650;1999年的相关值为0.974,误差为0.265。相比之下,1994年数据集的SLR相关性为0.995,误差为0.072;1999年数据集的SLR相关性为0.951,误差为0.370。然而,与p -阻抗情况类似,尽管单反在井位表现良好,但将其应用于全地震体积会导致性能下降,其特点是结果噪声更大,处理时间更长。通过对MBI和SLR的对比分析,表明MBI具有更高的效率、更简单的实现和更快的计算性能。因此,根据测井数据得出的经验关系,MBI获得的阻抗输出随后被转换为密度、纵波速度和横波速度。在地震数据中,与被注入二氧化碳的储层Utsira组相比,在二氧化碳饱和区,储层的弹性特性发生了显著变化。密度从1.75 g/cm3降至1.35 g/cm3(~ 23%),纵波速度从2000 m/s降至1820 m/s(~ 9%),横波速度从1150 m/s降至638 m/s(~ 45%)。这些变化反映了CO2在孔隙空间中取代卤水的影响,导致体积密度和刚度降低,表明由于注气导致储层整体软化。将这些反演方法与多参数弹性估计相结合,可以有效地监测CO2羽流和储层特征,突出地震反演在检测流体诱发变化方面的作用,并支持改进碳捕集与封存(CCS)作业中的监测策略。
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引用次数: 0
An Improved Equivalent Circuit for Electric Field Sensors in Geophysical Exploration 一种改进的地球物理勘探电场传感器等效电路
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-10-03 DOI: 10.1111/1365-2478.70047
Thomas Kalscheuer, Uwe Zimmermann, Henrik Sparr, Anton Palm Ekspong, Alexander Lindblad
<p>In electromagnetic measurements, electric field sensors consist of two halves, with remote electrodes of negative and positive polarity coupled through wires and low pass filters to the differential inputs of an analogue-to-digital converter; the electrical ground of the analogue-to-digital converter is connected to the ground through a reference electrode. We present, analyse and evaluate improved equivalent circuits for such electric field sensors. This serves to identify the maximum contact resistances of the electrodes for which the recorded voltages are unaffected by system response effects over a given frequency range. In the first step, we verify a new equivalent circuit for one half of an electric field sensor by comparison to a previously published equivalent circuit. In contrast to the latter, our equivalent circuit accounts for the spatial variability of the electric field along an extended sensor cable, the finite impedance of the receiver input stage, the non-zero contact resistance of the reference electrode and residual cable on a winch. Furthermore, the cable is characterised by its resistance, self-inductance and capacitance to the ground and the ionosphere or the borehole fluid. Compared to the absolute value of the voltage, our results show that the system response affects the phase of the voltage at lower frequencies. In the next step, we develop an equivalent circuit for a complete electric field sensor connecting two sensor halves to an analogue-to-digital converter. We study both symmetric and asymmetric set-ups with identical and differing cable lengths, respectively, of the sensor halves. Over the whole frequency range, the amplitude gets the lower, the higher the sum of contact resistances of the remote electrodes is. In contrast, the phase is distorted only at higher frequencies. Generally, the contact resistance of the central reference electrode has little effect. For symmetric sensors, of the combinations of contact resistances of the remote electrodes that have the same sum, it is the combination of identical contact resistances that shows the lowest distortion. The distortion owing to different contact resistances of the remote electrodes is only slight and mostly in the amplitude at high frequencies. For asymmetric sensors, the benefits of using a differential analogue-to-digital converter input are no longer exploited. For instance, flipping the contact resistances of the remote electrodes leads to different responses at high frequencies. In borehole applications, it is of particular importance to account for the spatial variability of the electric field due to the skin effect, field propagation and the curvature of the borehole track. We consider an extended electric field sensor that is placed in a borehole at an inclination of <span></span><math> <semantics> <mrow> <mn>45</mn> <msup> <mspace></mspace>
在电磁测量中,电场传感器由两部分组成,负极性和正极性的远端电极通过导线和低通滤波器耦合到模数转换器的差分输入;模数转换器的电接地通过参考电极与地连接。我们提出、分析和评估了这种电场传感器的改进等效电路。这用于确定在给定频率范围内记录的电压不受系统响应效应影响的电极的最大接触电阻。在第一步中,我们通过与先前发表的等效电路进行比较,验证了一半电场传感器的新等效电路。与后者相反,我们的等效电路考虑了电场沿延伸的传感器电缆的空间变异性、接收器输入级的有限阻抗、参考电极的非零接触电阻和绞车上的残余电缆。此外,该电缆的特点是其电阻、自感和对地面、电离层或井内流体的电容。与电压的绝对值相比,我们的结果表明,系统响应影响低频电压的相位。在接下来的步骤中,我们开发了一个完整的电场传感器的等效电路,将两个传感器连接到一个模数转换器。我们分别研究了具有相同和不同电缆长度的传感器一半的对称和非对称设置。在整个频率范围内,远端电极的接触电阻之和越高,幅值越低。相反,相位只有在更高的频率才会失真。一般情况下,中心参比电极的接触电阻影响不大。对于对称传感器,在具有相同和的远端电极的接触电阻组合中,相同接触电阻的组合显示出最低的失真。由于远端电极的不同接触电阻所引起的畸变很小,而且大多在高频幅值上。对于非对称传感器,使用差分模数转换器输入的好处不再被利用。例如,翻转远程电极的接触电阻会在高频下产生不同的响应。在井眼应用中,考虑由于集肤效应、场传播和井眼轨迹曲率引起的电场空间变异性是特别重要的。我们考虑在均匀半空间中以45°$45,^circ$倾角放置一个扩展的电场传感器。在高频情况下,井眼内导线的电容泄漏、绞车上残余电缆的寄生自感、环境磁场对绞车上电缆产生的电动势以及接收器输入级的低通滤波器使数据解释复杂化,并且与设置密切相关。
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引用次数: 0
Low-Frequency Extrapolation by Deep-Learning for Cross-Well Full-Waveform Inversion – Case Study From the Aquistore CO 2 $rm CO_{2}$ Storage Site 基于深度学习的井间全波形反演低频外推——以aqueststore CO 2 $rm CO_{2}$储层为例
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-09-24 DOI: 10.1111/1365-2478.70081
Amir Mardan, Don White

Full-waveform inversion (FWI) of seismic data is a powerful method for estimating high-resolution models of the subsurface. An accurate initial model and low-frequency data are necessary to avoid cycle skipping and perform a successful FWI. In the absence of this information, FWI is likely to fail due to convergence in local misfit minima. With the recent advancements in artificial intelligence, studies have shown that absent low-frequency data can be extrapolated using deep learning (DL). These studies have been mostly focused on surface seismic data whose frequency content is different from cross-well data. In this study, we assess the use of DL for low-frequency extrapolation for a cross-well survey that was done at the Aquistore CO2$rm CO_{2}$ storage site in Saskatchewan. This assessment includes both numerical and field data examples. We extrapolate the low frequencies to increase the bandwidth of the acquired data at the Aquistore site and perform FWI. We evaluate the efficiency of this method by comparing the results with obtained velocity models from the conventional multiscale FWI. Our results for the Aquistore data show that the proposed strategy leads to an accuracy improvement of 39% and 20% in the model and data domains, respectively.

地震资料全波形反演(FWI)是估算地下高分辨率模型的有力方法。精确的初始模型和低频数据是避免周期跳变和成功完成FWI的必要条件。在没有这些信息的情况下,FWI很可能会由于局部失配最小值的收敛而失败。随着人工智能的发展,研究表明,缺失的低频数据可以使用深度学习(DL)进行外推。这些研究大多集中在频率含量与井间数据不同的地面地震资料上。在这项研究中,我们评估了在萨斯喀彻温省aqueststore CO 2 $rm CO_{2}$储存地点进行的井间调查中使用DL进行低频外推的情况。该评估包括数值和现场数据实例。我们对低频进行外推,以增加aquisstore现场采集数据的带宽,并执行FWI。通过与传统多尺度FWI速度模型的比较,对该方法的有效性进行了评价。我们对aqustore数据的研究结果表明,所提出的策略在模型和数据领域的准确率分别提高了39%和20%。
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引用次数: 0
Improved One-Way Reflection Waveform Inversion and Strategies for Optimal Offset Selection 改进的单向反射波形反演及最优偏移量选择策略
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-09-15 DOI: 10.1111/1365-2478.70062
Siamak Abolhassani, Dirk Jacob Verschuur

Conventional reflection waveform inversion solves a two-parameter seismic inverse problem alternately for subsurface reflectivity and acoustic background velocity as the model parameters. It seeks to reconstruct a low-wavenumber velocity model of the subsurface from pure reflection data cyclically, through alternating migration and tomography loops, such that the remodelled data fits the observed data. Low-resolution seismic images with unpreserved amplitudes, full-wave inconsistency in the short-offset data and cycle skipping in the long-offset are perceived as the main reasons for suboptimal tomographic updates and slow convergence in conventional reflection waveform inversion. In the context of one-way reflection waveform inversion, this paper addresses the listed limitations through four main components. First, it augments one-way reflection waveform inversion with a computationally affordable preconditioned least-squares wave equation migration algorithm to ensure high-resolution reflectors with preserved amplitudes. Second, the paper verifies how well the full-wave consistency condition in the short-offset data is satisfied in one-way reflection waveform inversion and suggests muting inconsistent short-offset residual waveforms in the tomography loop to attenuate their adverse imprint. Third, the paper suggests extending the migration offset beyond short offsets to improve both the illumination and the signal-to-noise ratio of the reflectors. Fourth, the paper presents a data-selection algorithm to exclude the damaging effect of the cycle-skipped long-offset data in the tomography loop. The effectiveness of the proposed one-way reflection waveform inversion algorithm is finally validated through three numerical examples, demonstrating its capability to recover high-fidelity tomograms.

常规反射波形反演解决了以地下反射率和背景声速为模型参数交替进行的双参数地震反演问题。它试图通过交替的偏移和层析成像循环,从纯反射数据中周期性地重建地下的低波数速度模型,从而使重塑的数据与观测数据相匹配。低分辨率地震图像的振幅未保存,短偏移距数据的全波不一致以及长偏移距数据的周期跳变被认为是传统反射波形反演中层析成像更新不理想和收敛缓慢的主要原因。在单向反射波形反演的背景下,本文通过四个主要部分来解决所列出的限制。首先,它通过计算负担得起的预置最小二乘波动方程偏移算法增强了单向反射波形反演,以确保具有保留振幅的高分辨率反射器。其次,验证了单向反射波形反演中短偏移数据的全波一致性条件的满足程度,并提出了在层析环路中对不一致的短偏移残余波形进行抑制以减弱其不利印记的建议。第三,建议在短偏移量之外扩展偏移量,以提高反射器的照度和信噪比。第四,提出了一种数据选择算法,以排除层析成像环路中跳周长偏移数据的破坏性影响。最后通过3个数值算例验证了所提出的单向反射波形反演算法的有效性,证明了该算法具有恢复高保真层析图的能力。
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引用次数: 0
Forward Modelling of Electrical Resistivity and Induced Polarization Using the Spectral-Infinite-Element Method 电阻率和感应极化的光谱有限元正演模拟
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-09-15 DOI: 10.1111/1365-2478.70080
Kiana Damavandi, Hom Nath Gharti

Accurate and efficient modelling of subsurface electrical properties is critical for a wide range of applications, including mineral exploration, environmental studies and hydrogeological investigations. Traditional numerical approaches often use low-order discretization and impose artificial boundary conditions to approximate the unbounded spatial domain. These approximations can lead to inaccuracies and computational inefficiency, particularly in geologically complex environments. In this study, we present a spectral-infinite-element method (SIEM) for forward modelling of electrical resistivity and induced polarization. The approach couples high-order spectral elements within the finite domain with a single outer layer of mapped infinite elements, enabling precise representation of far-field boundary conditions. To achieve optimal numerical performance, we employ two distinct quadrature schemes: Gauss–Legendre–Lobatto quadrature for the spectral elements and Gauss–Radau quadrature for the infinite elements. We first verify the accuracy of our method by comparing the computed electric potential from a buried charged block with direct numerical integration. We conducted a convergence study by refining the mesh and increasing the order of the interpolation polynomials. To further evaluate the robustness of SIEM, we benchmark its results for a layered earth model against an analytical solution and an open-source Python-based geophysical modelling library, SimPEG. The comparisons demonstrate the accuracy, convergence and efficiency of SIEM. Finally, we apply SIEM to a complex heterogeneous conductivity model incorporating topography, generating apparent resistivity and chargeability pseudo-sections to illustrate its practical applicability under realistic survey conditions.

准确、高效的地下电特性建模对于矿产勘探、环境研究和水文地质调查等广泛应用至关重要。传统的数值方法通常采用低阶离散化并施加人工边界条件来近似无界空间域。这些近似可能导致不准确和计算效率低下,特别是在地质复杂的环境中。在这项研究中,我们提出了一种用于电阻率和感应极化正演模拟的光谱-无限元方法(SIEM)。该方法将有限域中的高阶谱元与映射的无限元的单一外层耦合在一起,从而能够精确地表示远场边界条件。为了获得最佳的数值性能,我们采用了两种不同的正交方案:光谱单元的高斯-勒让德-洛巴托正交和无限单元的高斯-拉多正交。我们首先通过比较埋藏带电块的计算电势和直接数值积分来验证我们方法的准确性。我们通过细化网格和增加插值多项式的阶数来进行收敛性研究。为了进一步评估SIEM的鲁棒性,我们将其结果与解析解和基于python的开源地球物理建模库SimPEG进行了对比。对比结果表明,该方法具有较好的准确性、收敛性和高效性。最后,我们将SIEM应用于包含地形的复杂非均质电导率模型,生成视电阻率和电荷率伪剖面,以说明其在实际测量条件下的实际适用性。
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引用次数: 0
Constraining Contact-Depth Solutions Through the Enhanced Horizontal Gradient Amplitude 通过增强水平梯度振幅约束接触深度解
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-09-09 DOI: 10.1111/1365-2478.70078
Luan Thanh Pham, Saulo Pomponet Oliveira, Erdinc Oksum, Hanbing Ai, Fabiana de Fátima Giacomini

Accurate depth estimation is crucial for the quantitative interpretation of magnetic anomalies, which plays a significant role in geological mapping, mineral exploration and subsurface investigations. Traditional depth estimation techniques, such as the contact-depth (CD) and tilt-depth (TD) methods, often suffer from the generation of spurious solutions, especially when applied to complex geological environments. To address this, we propose an enhanced depth estimation technique, namely, the located contact-depth (LCD) method that integrates the CD technique with the enhanced horizontal gradient amplitude (EHGA). By utilizing points near the peaks of EHGA, a mask is generated to constrain the solutions from the CD method, effectively eliminating false solutions. Furthermore, a stable finite-difference technique for calculating vertical derivatives is used to improve the robustness and stability of the outputs. The proposed technique is tested on synthetic data, both with and without noise, as well as on real aeromagnetic data from the Galinge Fe-polymetallic deposit (China). The results demonstrate that our method provides depth estimates with improved reliability and accuracy compared to traditional methods, reducing the number of spurious solutions and enhancing precision around source boundaries. The result from the real example is in good agreement with known structures, highlighting the potential for deep mineral exploration in the Galinge Fe-polymetallic deposit.

准确的深度估计是磁异常定量解释的关键,在地质填图、矿产勘查和地下调查中具有重要作用。传统的深度估计技术,如接触深度(CD)和倾斜深度(TD)方法,经常受到产生假解的影响,特别是在复杂的地质环境中。为了解决这个问题,我们提出了一种增强的深度估计技术,即将CD技术与增强的水平梯度振幅(EHGA)相结合的定位接触深度(LCD)方法。利用EHGA峰值附近的点,生成掩模来约束CD方法的解,有效地消除了假解。此外,采用稳定有限差分技术计算垂直导数,提高输出的鲁棒性和稳定性。该方法在加林格铁多金属矿床含噪和无噪合成数据以及实际航磁数据上进行了测试。结果表明,与传统方法相比,我们的方法提供的深度估计具有更高的可靠性和准确性,减少了假解的数量,提高了源边界周围的精度。实例结果与已知构造吻合较好,突出了加林格铁多金属矿床深部找矿潜力。
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引用次数: 0
A Simple Method for Estimating Shale Brittleness From Seismic Data: An Example From Offshore Norway 从地震资料估计页岩脆性的简单方法:以挪威近海为例
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-09-08 DOI: 10.1111/1365-2478.70076
Md. Jamilur Rahman, Owen Rohwer Huff, Sajjad Ahmadigoltapeh, Jan Inge Faleide, Manzar Fawad, Nazmul Haque Mondol

The brittleness of a caprock layer is an important property to measure, as it influences sealing integrity for subsurface fluid injection projects. However, brittleness is a complex function of various factors, such as mineral composition, diagenesis and effective stress, and consequently can vary spatially. Because well log-based methods for brittleness estimation are often spatially limited, we develop a simple workflow to estimate the brittleness of a shale formation directly from seismic data. The shale in question is the Draupne Formation of the Upper Jurassic age, which acts as a primary seal of Viking Group sandstones in the Horda Platform area of the northern North Sea for hydrocarbon extraction (e.g., the Troll field) and geological CO2 storage (e.g., Smeaheia). First, well log data from 26 wells in the Horda Platform area is aggregated, focusing on the compressional sonic, bulk density and resistivity values of the Draupne Formation. This data are used to establish a linear model relating the acoustic impedance and elastic properties-estimated brittleness index (BI) of the Draupne Formation; these two quantities display a correlation of 0.86. By combining this acoustic impedance information with a wavelet extracted from field seismic data and using average acoustic properties for the relatively homogeneous underlying sandstone reservoir, synthetic seismograms corresponding to different BI values of the Draupne Formation are generated. The amplitudes extracted from the synthetic seismograms are then used to establish a quadratic model relating seismic amplitudes at the base Draupne reflection with the BI. Applying this quadratic model on a 2D seismic line from the Stord Basin (south of the Horda Platform) results in BI values that are close to elastic-properties-based values at wells which intersect the seismic line and an expected trend of increasing brittleness with respect to depth. This integrated method can be used as part of a workflow to characterize top seal effectiveness, which may be useful in fluid storage prospect evaluation.

盖层的脆性是一项重要的测量性质,因为它影响到地下流体注入工程的密封完整性。然而,脆性是多种因素的复杂函数,如矿物成分、成岩作用和有效应力,因此可以在空间上变化。由于基于测井的脆性估计方法往往受到空间限制,我们开发了一种简单的工作流程来直接从地震数据中估计页岩地层的脆性。所讨论的页岩是上侏罗统时期的Draupne组,它是北海北部Horda台地地区维京组砂岩的主要密封层,用于提取碳氢化合物(如Troll油田)和地质封存二氧化碳(如Smeaheia)。首先,汇总了Horda台地地区26口井的测井数据,重点研究了Draupne组的压缩声波、体积密度和电阻率值。利用这些数据建立了Draupne地层声阻抗与弹性特性的线性模型——估计脆性指数(BI);这两个量的相关性为0.86。通过将声阻抗信息与从现场地震数据中提取的小波相结合,并利用相对均匀的下伏砂岩储层的平均声学特性,生成了对应于不同BI值的Draupne组合成地震图。然后,从合成地震记录中提取的振幅用于建立一个将基底反射的地震振幅与BI相关的二次模型。将该二次模型应用于Stord盆地(Horda平台南部)的二维地震线,结果表明,在与地震线相交的井中,BI值接近基于弹性特性的值,并且预期脆性随深度增加而增加。这种综合方法可以作为工作流程的一部分来描述顶部密封的有效性,这在流体储存前景评估中可能是有用的。
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引用次数: 0
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Geophysical Prospecting
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