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Static Alternating Field Demagnetization of Rocks: Why Three Axes are not Enough 岩石的静态交变磁场退磁:为什么三个轴是不够的
IF 0.8 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-03-13 DOI: 10.1007/s11200-026-00009-6
David Finn, Stuart A. Gilder, Dario Bilardello, Michael R. Wack, Robert S. Coe, Michael Jackson, Wyn Williams, Leon Kaub, Michael J. Branney

Paleomagnetism relies4 on stable remanent magnetizations held in rocks to reconstruct the ancient geomagnetic field direction and intensity. However, rocks may carry secondary overprints that obscure or completely destroy the original signal. To study the stability of the magnetic vector(s), laboratories routinely apply static alternating field demagnetization along three orthogonal axes (AFD₃), which is fast, non-destructive, and easy to automate. Here, we present a multiparticle model that shows AFD₃ can deviate the natural remanent magnetization (NRM). Deviations can be avoided when fulfilling two conditions: (i) the NRM was acquired in a weak field where magnetization intensity varies linearly with field strength, and (ii) the sample is magnetically isotropic. The first condition is generally satisfied for rocks holding thermal or detrital remanent magnetizations, but not those affected by an isothermal remanence (e.g., lightning), even though AFD₃ is often used to remove them. In rocks with an anisotropic particle orientation distribution, stepwise AFD₃ progressively removes different coercivity subpopulations as a function of grain orientation so the effective remanence anisotropy of the surviving carriers changes during demagnetization. The anisotropy-driven deflection therefore evolves with AF step, producing curvilinear demagnetization trajectories. Our theoretical results argue for caution when applying AFD₃ to anisotropic samples or those with isothermal overprints. Undesired NRM rotation can be avoided by tumble demagnetization or mitigated by increasing the number of alternating field axis orientations.

古地磁学依靠岩石中稳定的残余磁化来重建古代地磁场的方向和强度。然而,岩石可能携带二次复刻印,使原始信号模糊或完全破坏。为了研究磁矢量的稳定性,实验室通常沿三个正交轴(AFD₃)施加静态交变磁场退磁,这是快速、无损且易于自动化的。在这里,我们提出了一个多粒子模型,表明AFD₃可以偏离自然剩余磁化(NRM)。当满足两个条件时,可以避免偏差:(i) NRM是在磁化强度与场强线性变化的弱场中获得的,(ii)样品是磁性各向同性的。第一个条件通常适用于具有热磁化或碎屑残余磁化的岩石,而不适用于那些受等温残余磁化(例如闪电)影响的岩石,尽管经常使用AFD₃来去除它们。在具有各向异性颗粒取向分布的岩石中,逐步AFD₃作为晶粒取向的函数逐步去除不同的矫顽力亚群,因此幸存载流子的有效剩磁各向异性在退磁过程中发生变化。各向异性驱动的偏转因此随着AF阶跃而发展,产生曲线退磁轨迹。我们的理论结果表明,在将AFD₃应用于各向异性样品或具有等温叠印的样品时要谨慎。不希望的NRM旋转可以通过翻滚退磁来避免,或者通过增加交变场轴方向的数量来减轻。
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引用次数: 0
Non-Tensorial Anhysteretic Remanent Anisotropy and the Detection of Composite Fabrics 复合材料织物的非张量非迟滞残余各向异性及检测
IF 0.8 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-03-12 DOI: 10.1007/s11200-026-00010-z
David Finn, Michael R. Wack, Stuart A. Gilder, Michael Jackson, Robert S. Coe, Dario Bilardello, Leon Kaub, Wyn Williams, Michael J. Branney

The anisotropy of anhysteretic remanent magnetization (AARM) provides a powerful, nondestructive means of assessing magnetic fabrics. It is widely applied to infer strain and emplacement conditions in sedimentary, volcanic, and intrusive rocks. AARM is generally represented by a symmetric second-rank tensor describing its orientation, strength, and shape. AARM, however, departs from a tensorial shape when the number of grains carrying each directionally imparted anhysteretic remanence (ARM) varies with ARM orientation – a condition that arises when the alternating field (AF) over which the ARM is imparted does not fully activate the sample. Experimental data from a highly anisotropic ignimbrite sample, together with multiparticle modeling, show that such partial activation produces non-tensorial AARMs. Although this behavior complicates tensor analysis, non-tensorial AARM can reveal superimposed fabrics, provided that users can apply AF and ARM in a broad range of orientations. This article presents theoretical models that demonstrate non-tensorial behavior and explains how to utilize these properties to discern superimposed fabrics in natural samples.

非滞后剩余磁化(AARM)的各向异性为评估磁性结构提供了一种强大的、非破坏性的方法。它被广泛应用于推断沉积岩、火山岩和侵入岩的应变和侵位条件。AARM通常由描述其方向、强度和形状的对称二阶张量表示。然而,当携带每个方向传递的非滞后剩余物(ARM)的颗粒数量随ARM方向的变化而变化时,AARM就会偏离张量形状——当传递ARM的交变场(AF)没有完全激活样品时,就会出现这种情况。高各向异性火成岩样品的实验数据,结合多粒子模型,表明这种部分激活产生非张量aarm。虽然这种行为使张量分析变得复杂,但非张量AARM可以揭示叠加结构,前提是用户可以在广泛的方向上应用AF和ARM。本文提出了理论模型,展示了非张拉行为,并解释了如何利用这些特性来辨别自然样品中的叠加织物。
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引用次数: 0
Anisotropy of Magnetic Susceptibility as a Tool to Understand the Mechanism of Formation of Volcanic Bombs 磁化率各向异性作为了解火山弹形成机制的工具
IF 0.8 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2026-03-12 DOI: 10.1007/s11200-026-00008-7
Edgardo Cañón-Tapia, Miguel Ángel Carapia-Pérez

The mechanism of formation of volcanic bombs is not well-understood at present. Although several alternative models have been proposed, it is difficult to assess them due to the lack of quantitative indicators. Measurement of the anisotropy of magnetic susceptibility (AMS) of different bomb morphologies might provide an useful quantitative reference frame upon which such models can be mutually compared. In this work, we present the results of the measurement of the AMS of six different bomb morphologies. The results show that similar macroscopic morphological types can be achieved by more than one mechanism of deformation, but the internal structure of each bomb retains clues concerning the different mechanisms of deformation that acted upon it before its effective solidification. Bombs of small size may have experienced complex sequences of deformation that are superimposed in different layers of the bomb, but such complexity is not necessarily observed in bombs of larger size, as the latter do not necessarily experienced more complex sequences of deformation events. Furthermore, the breadcrust texture of a bomb may not reflect gas expansion that influenced the entire volume of the bomb, but can be related only with a superficial layer and the flattening of a bomb may be due to rotation effects around an axis, which may be defined by an embedded object. Although the diversity of AMS signals is large, it is considered that this tool provides valuable information that can help us to better understand the mechanism of formation of this type of pyroclastic products.

火山弹的形成机理目前还不十分清楚。虽然提出了几种可供选择的模式,但由于缺乏定量指标,很难对它们进行评估。测量不同弹形态的磁化率各向异性(AMS)可以提供一个有用的定量参考框架,在此基础上可以相互比较这些模型。在这项工作中,我们提出了六种不同弹形态的AMS测量结果。结果表明,相似的宏观形态类型可以通过多种变形机制实现,但每个弹的内部结构保留了在其有效凝固之前作用于其的不同变形机制的线索。小尺寸的炸弹可能会经历复杂的变形序列,这些变形序列叠加在炸弹的不同层中,但这种复杂性不一定在较大尺寸的炸弹中观察到,因为后者不一定会经历更复杂的变形事件序列。此外,炸弹的面包皮纹理可能不能反映影响炸弹整个体积的气体膨胀,而只能与表层有关,而炸弹的变平可能是由于围绕轴的旋转效应,这可能由嵌入的物体定义。虽然AMS信号的多样性很大,但认为该工具提供了有价值的信息,可以帮助我们更好地了解这类火山碎屑产物的形成机制。
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引用次数: 0
Use of laterally varying crustal density in gravity interpolation at large data gaps: experiment for the continent Africa 在大数据缺口的重力插值中利用横向变化的地壳密度:非洲大陆的实验
IF 0.8 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-11-13 DOI: 10.1007/s11200-025-0905-5
Hussein A. Abd-Elmotaal, Kurt Seitz, Norbert Kühtreiber, Thomas Grombein, Bernhard Heck, Hansjörg Kutterer

One of the great challenges that the IAG Sub-Commission on gravity and geoid in Africa faces is the significantly large gravity data gaps. Simple interpolation of the gravity data does not add new information at the large data gaps. In the present study, new and independent signal information is implemented by using the laterally varying density that influences the gravity signal. Consequently, the global crustal density model UNB TopoDens was introduced as an additional source of information covering the whole area of the continent of Africa. This new independent information, entering the process of generating and updating the African gravity data base, has variable laterally varying density values available as a 30″ × 30″ grid. It has been employed in the framework of the non-ambiguous window remove-restore technique, which produces well smoothed reduced anomalies which minimize the interpolation errors. The lateral crustal density model (CDM) assigns extensive water areas with a density value which is equal to 1000 k gm−3, and the oceans with density equal to zero. These values are overruled with valid values in order to correctly compute the impact of topographic masses in the window remove-compute-restore (wRCR) technique. Accordingly, a density model compatible with the computation of the effect of topographic masses within the window remove-restore technique has been developed. A set of Digital Density Models is needed for the computation of the effect of the topographic masses. This has been achieved by the block average operator technique. The impact of the variable density by using a lateral density model compared to the traditional use of a constant density value is discussed in detail. The results proved that the variable crustal density has a significant effect on the interpolated gravity at the large terrestrial gravity data gaps over Africa.

IAG非洲重力和大地水准面小组委员会面临的巨大挑战之一是重力数据的巨大缺口。在大的数据缺口处,对重力数据进行简单的插值不能增加新的信息。在本研究中,利用影响重力信号的横向变化密度实现了新的独立信号信息。因此,引入了全球地壳密度模型UNB TopoDens,作为覆盖非洲大陆整个地区的额外信息来源。这一新的独立信息进入了非洲重力数据库的生成和更新过程,具有横向可变的密度值,作为30″× 30″网格。该方法被应用于无模糊窗口去除-恢复技术的框架中,该技术可以产生平滑程度较高的减少异常,从而使插值误差最小化。横向地壳密度模型(CDM)将密度值设为1000k gm−3的广阔水域和密度为零的海洋。为了在窗口移除-计算-恢复(wRCR)技术中正确计算地形质量的影响,这些值被有效值所取代。在此基础上,建立了一种适合于计算地形质量对移窗-恢复技术影响的密度模型。为了计算地形质量的影响,需要一套数字密度模型。这是通过块平均算子技术实现的。详细讨论了采用横向密度模型与传统的恒密度模型相比,可变密度的影响。结果表明,在非洲大陆大重力数据缺口处,地壳密度变化对插值重力有显著影响。
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引用次数: 0
Determination of magnetization direction using correlation between normalized source strength and pseudo-gravity field 利用归一化源强度与伪重力场的相关性确定磁化方向
IF 0.8 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-11-03 DOI: 10.1007/s11200-025-0601-5
MyongHyok Yang, YongNam Choe, Sok Chol, KumHyok Ri, TaeChol Jang, CholSu Ho, YuGang Kim

The accurate interpretation of magnetic anomaly data relies heavily on knowledge of the total magnetization direction of subsurface sources. Particularly when strong remanent magnetization is present, assessing the total magnetization direction is crucial for interpreting magnetic anomalies. However, magnetic field observations are prone to various noises. This study aims to enhance the accuracy of magnetization direction determination by leveraging transformed fields that are less sensitive to noises. Our primary goal is to develop a robust method to estimate the magnetization direction, especially when dealing with complex magnetic anomalies. We propose a method for determining magnetization direction by exploiting the correlation between the pseudo-gravity (PG) field (which we demonstrate is less affected by noises) and the Normalized Source Strength (NSS). This involves searching for the NSS field derived from the observed magnetic field data and the PG fields computed from a range of assumed magnetization directions. The proposed method is validated through both synthetic modeling experiments and real data applications. The results demonstrate the robustness of the method in handling diverse anomaly geometries, including cases with mutual interference and random noises. Furthermore, it effectively mitigates the influence of remanent magnetization. The experiment on sphere source with 5%, 10%, and 20% random noises showed that our method yields significantly lower errors in estimating magnetization direction than previous approach. The mean errors for inclination and declination are 0.29°, 1.22°, 2.45° and 0.44°, 0.84°, 1.92°, respectively. Consequently, our approach, utilizing the NSS field and the PG field, offers an effective tool for estimating magnetization directions.

磁异常资料的准确解释在很大程度上依赖于对地下震源总磁化方向的了解。特别是当存在强剩余磁化时,评估总磁化方向对于解释磁异常至关重要。然而,磁场观测容易受到各种噪声的干扰。本研究旨在利用对噪声不太敏感的变换场来提高磁化方向确定的精度。我们的主要目标是开发一种鲁棒的方法来估计磁化方向,特别是在处理复杂的磁异常时。我们提出了一种利用伪重力(PG)场(我们证明它受噪声影响较小)与归一化源强度(NSS)之间的相关性来确定磁化方向的方法。这包括从观测到的磁场数据中寻找NSS场,以及从一系列假设的磁化方向中计算出的PG场。通过综合建模实验和实际数据应用验证了该方法的有效性。结果表明,该方法在处理各种几何异常(包括相互干扰和随机噪声)方面具有较好的鲁棒性。此外,它有效地减轻了剩余磁化的影响。在含5%、10%和20%随机噪声的球形源上的实验表明,该方法在估计磁化方向上的误差明显小于先前的方法。倾角和赤纬的平均误差分别为0.29°、1.22°、2.45°和0.44°、0.84°、1.92°。因此,我们的方法,利用NSS场和PG场,提供了一个有效的工具来估计磁化方向。
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引用次数: 0
The Chicxulub post-impact carbonate sequence in the Yaxcopoil-1 borehole, southern crater terrace zone 南火山口阶地带Yaxcopoil-1钻孔Chicxulub撞击后碳酸盐岩层序
IF 0.8 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-11-03 DOI: 10.1007/s11200-024-0816-x
Ligia Pérez-Cruz, Juana Elia Escobar-Sanchez, Marysol Valdez-Hernández, Rafael Venegas-Ferrer, Mariana Marca-Castillo, Jaime Urrutia-Fucugauchi

The Chicxulub impact ∼66 Ma ago formed a large basin on the Yucatán platform, filled by sediments that provide a record of carbonate deposition, sea level and climate changes in the Gulf of Mexico. We study the post-impact sequence drilled in the Yaxcopoil-1 borehole in the crater terrace zone. The post-impact section is 792 m thick, overlying the impactites and Cretaceous carbonates. Section analyzed is between 400 and 792 m, formed by twelve units of limestones, dolomites, argillaceous/silicified limestones and calcarenites. Carbonates show cross-lamination, flow-currents, parallel lamination, cyclic graded bedding and styolitic structures. Study is based on core analyses, logging, petrography, digital scanned images, magnetic properties and X-ray diffraction and X-ray fluorescence geochemistry. The basal units U1–U4 represent low-energy deep bathyal environments and fine-grained facies varying from mudstone to wackestone. Sediment deposits, reworked and transported from the platform and crater rim, show textural and grain size changes from grainstone to packstone. Geochemical and magnetic susceptibility logs record effects of hydrothermal alteration, with secondary mineral assemblages. The SiO2 and CaO contents display wide ranges, negatively correlated. Fe2O3, TiO2, Al2O3 and K2O oxides show similar patterns downhole. The Sr and MgO show a positive correlation, except for the basal sediments. Paleocene units U1–U3 show increasing density, increasing seismic velocity and upward decreasing porosity. Upper units U5–U12 are characterized by laminated black shales and marls with microfacies varying from wackestone to packstone, with planktic and benthic foraminifera and bioclasts. Unit U9 shows low density and seismic velocity and increased porosity. Depositional environments vary from low-energy deep bathyal inside the basin to shallow neritic outside the crater rim. Sediments of the internal carbonate ramp to external neritic environments record sea level changes and platform subsidence/uplift.

大约66 Ma以前的Chicxulub撞击在Yucatán平台上形成了一个大盆地,其中充满了沉积物,这些沉积物提供了墨西哥湾碳酸盐沉积,海平面和气候变化的记录。我们研究了在陨石坑阶地带Yaxcopoil-1钻孔钻探的撞击后层序。撞击后剖面厚度为792 m,覆盖在撞击物和白垩纪碳酸盐岩上。所分析的剖面在400 ~ 792 m之间,由灰岩、白云岩、泥质/硅化灰岩和钙质灰岩等12个单元组成。碳酸盐岩表现为交叉层叠、流动层叠、平行层叠、旋回级配层理和花柱状构造。研究基于岩心分析、测井、岩石学、数字扫描图像、磁性、x射线衍射和x射线荧光地球化学。u1 ~ u4基单元为低能深深海环境和细粒相,由泥岩到泥岩不等。从台地和火山口边缘经过改造和搬运的沉积物,显示出从粒岩到包岩的结构和粒度变化。地球化学和磁化率测井记录了热液蚀变的影响,具有次生矿物组合。SiO2与CaO含量表现出较宽的负相关关系。Fe2O3、TiO2、Al2O3和K2O氧化物在井下表现出相似的模式。除基底沉积物外,Sr与MgO呈显著正相关。古新世单元u1 ~ u3密度增大,地震速度增大,孔隙度向上减小。上单元u5 ~ u12以层状黑色泥页岩和泥灰岩为特征,微相由微晶岩到微晶岩不等,存在浮游和底栖有孔虫和生物碎屑。U9单元密度和地震速度较低,孔隙度增大。沉积环境从盆地内部的低能深深海到陨石坑边缘外的浅海沉积。内部碳酸盐岩向外部浅海环境的斜坡沉积记录了海平面的变化和平台的沉降/隆升。
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引用次数: 0
Computation of the marine full tensor gravity gradient from satellite altimetry in a local planar coordinate system 局部平面坐标系下卫星测高海洋全张量重力梯度的计算
IF 0.8 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-09-27 DOI: 10.1007/s11200-024-0846-4
Zhourun Ye, Xinghui Liang, Shaofeng Bian, Lintao Liu, Jinzhao Liu

Marine gravity gradient data, which provide high-precision, multi-component observations, are crucial for detecting subtle variations in oceanic geological structures. This information has profound implications for geological exploration, seabed resource assessment, and seismological research. Typically, satellite altimetry is mainly employed to obtain marine gravity field information. In our study, we proposed a strategy that integrates the deflection of the vertical (DOV), derived from satellite altimetry data, with Fast Fourier Transform (FFT) technology to compute the full tensor of the ocean’s gravity gradient. Initially, the DOV components were estimated using the least squares method from the geoid gradient. Subsequently, the vertical gravity gradient anomaly on the ocean surface was determined utilizing the DOV components. Finally, the remaining five gravity gradient tensor components were derived from the vertical gravity gradient anomaly using FFT techniques. In our experiments, we applied the proposed strategy to SWOT and CryoSat-2 observations. The Scripps Institution of Oceanography model was employed to validate the vertical gravity gradient component, while the results for the full tensor of gravity gradient were verified using the CUGB2023GRAD model. The experimental results validate the processing strategy proposed in this study, demonstrating its effective applicability within the local planar coordinate system.

海洋重力梯度数据提供了高精度、多分量的观测数据,对于探测海洋地质结构的细微变化至关重要。这些信息对地质勘探、海底资源评价和地震学研究具有深远的意义。通常,卫星测高主要用于获取海洋重力场信息。在我们的研究中,我们提出了一种策略,将卫星测高数据得出的垂直偏转(DOV)与快速傅里叶变换(FFT)技术相结合,计算海洋重力梯度的全张量。首先,用最小二乘法从大地水准面梯度估计DOV分量。随后,利用DOV分量确定了海面垂直重力梯度异常。最后,利用FFT技术从垂直重力梯度异常中得到剩余的5个重力梯度张量分量。在我们的实验中,我们将提出的策略应用于SWOT和CryoSat-2观测。采用Scripps institute of Oceanography模型验证垂直重力梯度分量,采用CUGB2023GRAD模型验证重力梯度全张量结果。实验结果验证了本文提出的处理策略,表明其在局部平面坐标系下的有效适用性。
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引用次数: 0
Geoid determination using airborne vector gravimetry: Insights from a real dataset 使用航空矢量重力测量确定大地水准面:来自真实数据集的见解
IF 0.8 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-09-02 DOI: 10.1007/s11200-024-0748-5
Ismael Foroughi, Mehdi Goli, Stephen Ferguson, Spiros Pagiatakis

In this contribution, we use all three components of the gravity vector observations to compute a regional geoid and demonstrate the advantages of using the horizontal components alongside the vertical component. We apply the one-step integration method within the remove-compute-restore framework; where the long-wavelength part of the geoid is recovered from Earth’s gravitational models while the harmonicity of the computational space is ensured by removing the topographic effects. We create a system of linear equations using a discretized form of the one-step integration method and use the Tikhonov technique to deal with the numerical instability due to its implicit downward continuation and to determine the geoid at higher resolution, e.g., 1 ′ × 1′. We propose a novel method to estimate the Tikhonov regularization parameter using the discrepancy principal and a stable solution of the geoid at lower resolution, e.g., 3′ × 3′. The results reported are based on real airborne gravity vector observations collected over Colorado, USA. The scattered observations at flight level are directly inverted to the disturbing potential at grid points on the reference ellipsoid, where geoid heights are then computed using Bruns formula. We evaluate the external accuracy of the geoid by comparing it with GNSS/levelling data and estimate the location-based internal uncertainties (error) of the geoid heights through formal error propagation. As part of this contribution, the airborne gravity vector data used in this study are also available for research purposes upon request to the corresponding author.

在这篇文章中,我们使用重力矢量观测的所有三个分量来计算区域大地水准面,并演示了在垂直分量旁边使用水平分量的优点。我们在删除-计算-恢复框架内应用了一步积分法;其中,大地水准面长波部分从地球引力模型中恢复,同时通过消除地形影响来确保计算空间的谐波。我们使用一步积分方法的离散形式创建了一个线性方程组,并使用Tikhonov技术来处理由于其隐式向下延拓而导致的数值不稳定性,并确定更高分辨率的大地水准面,例如1 ‘ × 1 ’。我们提出了一种新的方法来估计吉洪诺夫正则化参数利用差异原则和稳定的解的大地水准面在较低的分辨率,如3 ‘ × 3 ’。报告的结果是基于在美国科罗拉多州收集的真实机载重力矢量观测。将飞行高度的散射观测直接反演为参考椭球上网格点的扰动势,然后利用布伦斯公式计算参考椭球上的大地水准面高度。我们通过将大地水准面与GNSS/水准数据进行比较来评估其外部精度,并通过形式误差传播来估计基于位置的大地水准面高度内部不确定性(误差)。作为贡献的一部分,本研究中使用的航空重力矢量数据也可应通讯作者的要求用于研究目的。
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引用次数: 0
Supervision of seismic velocity models of the Reykjanes Peninsula Rift, SW Iceland 冰岛西南部雷克雅纳斯半岛裂谷地震速度模型的监测
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-02-10 DOI: 10.1007/s11200-024-1221-1
Bohuslav Růžek, Jana Doubravová, Josef Horálek

Most methods for processing seismological data require a suitable velocity model characteristic for the given region being defined. This is also the case of the Reykjanes Peninsula in SW Iceland, where the REYKJANET seismic network was built to monitor local seismicity in the rift zone. At present, four previously published 1D velocity models (SIL, BRA, TRY and VOG) can potentially be used, prompting us to determine which one is the best. In order to address this issue, we arranged a contest in which all four 1D models and one additional 3D model (T3D) were entered. Uniform methodology for classifying the models was applied and included an analysis of: (i) post-1ocalization travel-time residuals, (ii) residuals of the P-wave first-motion incidence angle and (iii) model-predicted and measured Rayleigh-wave dispersion. We discovered that no single model was unequivocally the most optimal, as the differences between them proved rather minor. A common shortcoming of all the models is the bias of the P-wave first motion incidence angle residuals, which may be a general problem for methods working with P-wave amplitudes (e.g., moment tensor solutions). The VOG model was selected with a weak preference. Finally, we propose a simple method for modifying any of the 1D models by adding a station-dependent surface layer with a vertical velocity gradient. This way, a pseudo-3D model is generated which is fully competitive with a true 3D model while retaining the simplicity of 1D ray tracing. The efficiency of this correction was demonstrated using the VOG model. The corrected VOG model provides post-1ocalization residuals comparable with the true 3D model T3D, has zero bias in predicting the P-wave first-motion incidence angles, and agrees acceptably in predicting the Rayleigh-wave phase-velocity known from other sources. While calculations with a 3D model can be clumsy, the proposed pseudo-3D model is defined by few parameters and is very easy to use. Its applicability is limited to earthquake sources deeper than the deepest lower limit of the topmost layer below the stations.

大多数处理地震资料的方法都要求给定区域具有合适的速度模型特征。冰岛西南部的雷克雅内斯半岛也是如此,在那里建立了雷克雅内特地震台网,以监测裂谷带的当地地震活动。目前,有四种先前发表的一维速度模型(SIL, BRA, TRY和VOG)可以使用,这促使我们确定哪一种是最好的。为了解决这个问题,我们安排了一场比赛,所有四个1D模型和一个额外的3D模型(T3D)都参加了比赛。采用统一的方法对模型进行分类,包括:(i)定位后的行时残差,(ii)纵波首次运动入射角残差,以及(iii)模型预测和测量的瑞利波色散。我们发现没有一个模型是明确的最优的,因为它们之间的差异被证明是相当小的。所有模型的一个共同缺点是p波第一次运动入射角残差的偏差,这可能是处理p波振幅的方法(例如,矩张量解)的一般问题。对VOG模型的选择有弱偏好。最后,我们提出了一种简单的方法,通过添加具有垂直速度梯度的台站相关面层来修改任何一维模型。这样,生成的伪3D模型与真正的3D模型完全竞争,同时保留了1D光线追踪的简单性。利用VOG模型验证了这种校正的有效性。修正后的VOG模型提供了与真实3D模型T3D相当的定位后残差,在预测纵波首次运动入射角方面没有偏差,并且在预测从其他来源已知的瑞利波相速度方面也可以接受。虽然使用3D模型进行计算可能会很笨拙,但所提出的伪3D模型由很少的参数定义,并且非常易于使用。它的适用性仅限于震源深度大于台站以下最上层最深下限。
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引用次数: 0
An optimized high-order finite-difference approach based on the staggered-grid cell for seismic wavefield extrapolation 基于交错网格单元的地震波场外推高阶有限差分优化方法
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-02-07 DOI: 10.1007/s11200-024-0123-6
Shigang Xu, Xingguo Huang, Li Han, Qianzong Bao

Staggered-grid finite-difference (SGFD) approaches are universally applied to discretize different seismic-wave equations during wavefield extrapolation. However, the traditional SGFDs may encounter numerical dispersion error and instability owing to the limited approximation accuracy. To increase the simulated accuracy, we develop an optimized SGFD with high-order accuracy based on the orthogonal-octahedral operator for 3D scalar-wave modeling. Compared with the standard orthogonal-octahedral approach, the modified approach has smaller computing cost because we reduce the SGFD stencil. In addition, the corresponding time-space domain dispersion relation is beneficial to generate the least-square-based optimized high-order SGFD coefficients. Dispersion and stability comparsions show that the developed algorithm has better performance than the classical methods. Several simulated experiments verify that the proposed scheme can significantly suppress numerical dispersion in time and space domain and effectively improve the simulated accuracy and efficiency. In conclusion, the developed scheme can provide a reliable wavefield extrapolation tool for seismic imaging and inversion.

交错网格有限差分(SGFD)方法在波场外推中被广泛应用于不同地震波方程的离散化。然而,由于逼近精度有限,传统的sgfd存在数值色散误差和不稳定性。为了提高模拟精度,我们开发了一种基于正交八面体算子的优化的高阶SGFD,用于三维标量波建模。与标准正交八面体方法相比,改进的方法由于减少了SGFD模板,计算量更小。此外,相应的时空色散关系有利于生成基于最小二乘的优化高阶SGFD系数。色散和稳定性对比表明,该算法比经典方法具有更好的性能。仿真实验结果表明,该方案能有效抑制时域和空域数值色散,有效提高仿真精度和效率。综上所述,该方案可为地震成像和反演提供可靠的波场外推工具。
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引用次数: 0
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Studia Geophysica et Geodaetica
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