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Instanton Representation of Foreshoсk–Aftershock Sequences 前震-余震序列的瞬态表示
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-23 DOI: 10.1134/S1069351325700144
L. M. Bogomolov, M. V. Rodkin, V. N. Sychev

Abstract—The description of foreshock and aftershock activation processes is of great significance in seismology both from practical and theoretical standpoints. An analogy between the mathematical expressions describing the seismicity patterns in the direct and inverse Omori–Utsu laws has been empirically established. Studies of the generalized vicinity of a large earthquake (LEGV, also abbreviated as GVLE) revealed an even closer analogy between the properties of foreshocks and aftershocks. This analogy also holds for the characteristics of the activation process, in particular, for the anomalous changes in the Gutenberg–Richter b-value. We propose a unifying model for the entire foreshock–aftershock process, which is described by kinetic equations with solutions in the form of strongly temporally localized maxima, called instantons by analogy with solitons for lozalized waves. A demonstrating example of an instanton solution is a graph of the time derivative of the logistic dependence describing a transient process. The rate of this process initially increases significantly, reaches a peak, and then asymptotically decreases to zero. The aim of this paper is to demonstrate effectiveness of the instanton model which generalizes the self-developing process (SDP) model but does not involve the formation of a physically unrealizable singularity typically simulating the explosive growth in the number of foreshocks and aftershocks in the vicinity of the main event. The new model is compared with empirical data from the earthquakes that occurred between 2003 and 2023 in the southern part of Sakhalin, an area with the best capabilities for seismicity recording. A reasonable consistency between theoretical and empirical time dependences is obtained both for the LEGV constructed for a region within 44.5°–50.5° N and 141.5°–143.5° E and for separate strong Sakhalin earthquakes.

前震和余震活化过程的描述在地震学中具有重要的理论和实践意义。在经验上建立了描述大森- utsu正逆规律中地震活动性模式的数学表达式之间的类比。对大地震广义邻近区(LEGV,也缩写为GVLE)的研究揭示了前震和余震性质之间更接近的相似之处。这种类比也适用于激活过程的特征,特别是古腾堡-里希特b值的异常变化。我们为整个前震-余震过程提出了一个统一的模型,该模型用动力学方程来描述,其解以强时间局域极大值的形式出现,称为瞬子,类比于局部化波的孤子。瞬态解的一个演示示例是描述瞬态过程的逻辑依赖的时间导数图。该过程的速率最初显著增加,达到峰值,然后逐渐减小到零。本文的目的是证明瞬时模型的有效性,该模型推广了自发展过程(SDP)模型,但不涉及物理上不可实现的奇点的形成,通常模拟主震附近前震和余震数量的爆炸性增长。新模型与2003年至2023年间发生在库页岛南部的地震的经验数据进行了比较,该地区具有最好的地震活动记录能力。对于在44.5°-50.5°N和141.5°-143.5°E范围内构建的LEGV以及单独的库页岛强地震,理论和经验时间依赖性之间都获得了合理的一致性。
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引用次数: 0
Ring-Shaped Seismicity Structures in South Kamchatka: Probable Preparation of a Great Earthquake 南堪察加环形地震活动性结构:大地震的可能准备
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-23 DOI: 10.1134/S1069351325700193
Yu. F. Kopnichev, I. N. Sokolova

Abstract—Some characteristics of seismicity in South Kamchatka are discussed. Parameters of the aftershock cloud of the August 17, 2024 large earthquake (Mw = 7.0) are studied. It is shown that ring-shaped seismicity structures in South Kamchatka have been formed in three depth ranges: 0–33, 34–70, and 71–110 km. As in other subduction zones, the structures are characterized in terms of limiting magnitude values—threshold magnitudes Mt1, Mt2, and Mt3, respectively, and lengths of major axes L1, L2, and L3. The epicenters of the August 17, 2024 earthquake and its strongest aftershocks fall in a shallow ring-shaped structure (Mt1 = 5.3), which supports the hypothesis of a preparation of a great earthquake in the South Kamchatka region. In the previous works, the correlation dependences of parameters Mt1 and Mt2 on the magnitudes Mw of large earthquakes have been constructed for the western Pacific (in the range Mw = 7.0–9.0). Using these dependencies, we estimated the magnitude of the great possible event in this region at Mw = 8.6 ± 0.2. The factors responsible for the formation of ring-shaped seismicity structures at different depths in the subduction zones are discussed.

文摘:讨论了南堪察加地震活动性的一些特征。研究了2024年8月17日7.0级大地震的余震云参数。结果表明,堪察加南部在0 ~ 33、34 ~ 70、71 ~ 110 km三个深度范围内形成了环形地震活动构造。与其他俯冲带一样,该构造的特征是根据极限震级(分别为Mt1、Mt2和Mt3)和长轴L1、L2和L3的长度来确定的。2024年8月17日的地震及其最强余震的震中位于一个浅环形结构(Mt1 = 5.3),这支持了南堪察加地区准备发生大地震的假设。在以前的工作中,已经构造了参数Mt1和Mt2与西太平洋(Mw = 7.0-9.0)大地震Mw级的相关依赖关系。利用这些依赖关系,我们估计该地区可能发生的大事件的震级为Mw = 8.6±0.2。讨论了俯冲带不同深度环形地震活动性构造形成的因素。
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引用次数: 0
Structure of the Earth’s Crust of the North Chukchi Arctic Shelf Based on Migration Data of the Field of Refractory and Reflected Waves (Profile 5-AP) 基于难阻波和反射波场迁移数据的楚科奇北极陆架北部地壳结构(剖面5-AP)
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-18 DOI: 10.1134/S1069351325700065
N. I. Pavlenkova

Abstract—Deep seismic surveys along profile 5-AP were carried out in the northeastern shelf zone of the Arctic from the Chukchi fold region on the continent to the deep North Chukchi Basin. To process the experimental material of this profile, mathematical modeling based on the time field method was used, as well as the method of migration of fields of refracted and reflected waves recorded at large distances from the source. As a result, with a high degree of reliability, it was possible not only to identify new features of the structure of the Earth’s crust and upper mantle of this region, but also to determine the rheological properties of the material making them up and the degree of its rigidity or plasticity. This made it possible to propose a new model of the possible geodynamic evolutionary history of this region.

摘要在北极东北陆架区从楚科奇褶皱区至楚科奇盆地北部深部沿5-AP剖面进行了深部地震勘探。为了对该剖面的实验材料进行处理,采用了基于时间场法的数学建模,以及对距离震源较远处记录的折射波和反射波的场进行偏移的方法。结果,在高度可靠的情况下,不仅可以确定该地区地壳和上地幔结构的新特征,而且可以确定构成它们的材料的流变特性及其刚性或塑性的程度。这使得提出该地区可能的地球动力学演化历史的新模式成为可能。
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引用次数: 0
The Methods for Estimation of Rock Grain Size: Review and Comparison 岩石粒度估算方法综述与比较
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-18 DOI: 10.1134/S1069351325700053
P. A. Kaznacheev, G. S. Indakov, N. B. Podymova, A. V. Ponomarev, M. A. Matveev, Z.-Yu. Ya. Maibuk, D. V. Krayushkin

The paper discusses methods for estimating the grain size of polycrystalline materials based on the analysis of optical microscopic images, as well as the possibility of applying these methods to the analysis of rock textures. A comparison of the results obtained using several methods on a single sample of metamorphosed sandstone from the Northern Ladoga region is presented. For this purpose, the manual grain size determination method, the linear intercept method, and the method of randomly point hitting with construction of oriented reference segments were used. The obtained estimates of grain sizes were compared with each other and independent broadband acoustic spectroscopy data. For certain grain size distribution parameters (first of all, the average grain size), all the methods yielded similar results. However, for other parameters, the obtained data can vary significantly.

本文讨论了基于光学显微图像分析估计多晶材料晶粒尺寸的方法,以及将这些方法应用于岩石结构分析的可能性。本文对拉多加河北部变质砂岩的单一样品进行了几种方法的比较。为此,采用了手工粒度测定法、线性截距法和随机点命中构造定向参考段的方法。得到的晶粒尺寸估计值与独立的宽带声光谱数据进行了比较。对于某些粒度分布参数(首先是平均粒度),所有方法的结果相似。然而,对于其他参数,获得的数据可能会有很大差异。
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引用次数: 0
Estimation of the Potential Error in Refining the Coordinates of a Moving Object according to Data of a Modern Satellite Model of the Earth’s Gravitational Field 根据现代地球引力场卫星模型数据估计运动物体坐标的潜在误差
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-18 DOI: 10.1134/S1069351325700041
G. E. Valov, P. S. Mikhailov, V. N. Koneshov

The article studies the possibility and accuracy of correcting the coordinates of a moving object according to data of a modern satellite model of the Earth’s gravitational field. A software implementation of modeling the readings of strapdown inertial navigation systems (SINS) is presented. Based on an analysis of various sources and modeling of the route corresponding to a real marine scientific expedition, the optimal parameters of the SINS modules were obtained. An algorithm for refining the coordinate position of a moving object based on the coordinate descent method is proposed. Regression analysis was used to derive a formula for the relationship between the mean square error of the gravimetric map and the horizontal gradient of the gravity anomaly (GA). A number of experiments were carried out to refine the coordinate position in areas characterized by different GA gradients with modeling of the errors of the relative gravimeter and gravimetric map. As a result of experiments, it was found that it is possible to determine the coordinate position according to model gravity data with an accuracy of 100–1900 m in areas with “large” GA gradients (from 2 to 6 mGal/km) and from 100 to 6400 m in areas with “small” GA gradients (up to 2 mGal/km), depending on the type and magnitude of the errors.

本文研究了利用现代地球重力场卫星模型资料对运动物体进行坐标校正的可能性和精度。提出了捷联惯性导航系统(SINS)读数建模的软件实现方法。通过对各种来源的分析和对实际海洋科考航路的建模,得到了捷联惯导系统模块的最优参数。提出了一种基于坐标下降法的运动物体坐标位置细化算法。通过回归分析,推导了重力图均方误差与重力异常水平梯度之间的关系式。通过对相对重力仪和重力图误差的建模,对具有不同遗传算法梯度的区域进行了坐标位置的精确定位实验。实验发现,根据误差的类型和大小,在“大”梯度地区(2 ~ 6 mGal/km)可以根据模型重力数据确定坐标位置,精度在100 ~ 1900 m之间,在“小”梯度地区(2 mGal/km)可以确定坐标位置,精度在100 ~ 6400 m之间。
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引用次数: 0
Two-Dimensional Inversion of Magnetotelluric Data when Studying Three-Dimensional Media 三维介质研究中大地电磁资料的二维反演
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-18 DOI: 10.1134/S1069351325700077
D. D. Popov, P. Yu. Pushkarev

Abstract—A three-dimensional geoelectric model of the tectonosphere has been constructed, containing typical geoelectric heterogeneities at three structural levels: uplift and subsidence of the roof of the basement, conductive prisms in the consolidated crust, and asthenospheric uplift in the upper mantle. Synthetic magnetotelluric data were calculated, and their sensitivity to geoelectric structures was analyzed. A two-dimensional smoothing inversion of synthetic data was performed along two perpendicular profiles. Despite significant three-dimensional effects, the obtained sections quite accurately reconstruct the position of the roof of the basement, obtain rough images of crustal structures, and poorly resolve the structure of the mantle. The influence of random noise of different levels on the inversion results is assessed. In the future, it is planned to perform three-dimensional inversion of synthetic data.

摘要建立了构造圈三维地电模型,该模型包含基底顶板的隆升和沉陷、固结地壳的导电棱镜和上地幔的软流圈隆升三个构造层次的典型地电非均质性。计算了合成大地电磁资料,分析了它们对地电结构的敏感性。对合成数据沿两条垂直剖面进行二维平滑反演。尽管三维效果显著,但所获得的剖面相当准确地重建了基底顶部的位置,获得了地壳结构的粗略图像,而对地幔结构的分辨率较差。评估了不同程度的随机噪声对反演结果的影响。未来计划对合成数据进行三维反演。
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引用次数: 0
The Relationship between Ground Motion Intensity in Zones of Strong Earthquakes and Soil Conditions: Large Dataset-Based Analysis 强震带地震动强度与土壤条件的关系:基于大数据集的分析
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-18 DOI: 10.1134/S1069351325700090
M. B. Timonov, O. V. Pavlenko

Abstract—The relationship between seismic intensity of ground shaking and soil conditions is analyzed using a large set of records obtained in the zones of strong earthquakes by KiK-net vertical arrays (Japan). The observed seismic intensity is compared in pairs of stations with different VS30 soil characteristics, equidistant from the epicenter. In total, more than 1300 station pairs for 45 seismic events analyzed. For most pairs (more than 970), an inverse dependence of measured intensity on VS30 is obtained (i.e., the necessary condition for applicability of seismic rigidity method (SRM) is fulfilled). However, for more than 350 pairs, the measured intensity was higher at the stations installed on denser soils. A probable cause is that nonlinear behavior of soft soils under strong motions and the resonance effects in the ground layers were neglected when using SRM. Besides, a large scatter is revealed in experimental estimates of seismic intensity as function of VS30 at a fixed earthquake magnitude and hypocentral distance. The seismic intensity estimates from the Blake–Shebalin equations with coefficients for Kamchatka and the Kuril Islands proved to be inconsistent with observational data, which indicates rather low accuracy of intensity prediction based on soil conditions and the Blake–Shebalin equation. Improving outdated approaches in building codes has been a pressing issue for many years.

摘要利用日本KiK-net垂直阵列在强震带获得的大量地震记录,分析了地震烈度与土壤条件的关系。在距离震中等远的不同VS30土壤特征的成对台站中比较观测到的地震烈度。总共分析了45个地震事件的1300多个台站对。对于大多数对(大于970对),实测强度与VS30呈反比关系(即满足地震刚度法(SRM)适用性的必要条件)。然而,对于超过350对,测量强度较高的站点安装在更密集的土壤。一个可能的原因是在采用SRM时忽略了软土在强运动下的非线性行为和地基层的共振效应。此外,在固定震级和震源距离下,地震烈度随VS30的函数的实验估计存在较大的离散性。用带系数的Blake-Shebalin方程估计堪察加和千岛群岛的地震烈度与观测资料不一致,表明基于土壤条件和Blake-Shebalin方程的地震烈度预测精度较低。多年来,改进建筑规范中过时的方法一直是一个紧迫的问题。
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引用次数: 0
Global Geomagnetic Disturbances Presumably Caused by Earthquakes 可能由地震引起的全球地磁扰动
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-18 DOI: 10.1134/S1069351325700107
O. V. Kozyreva, V. A. Martinez-Bedenko, V. A. Pilipenko

Abstract—The paper examines the possibility of occurrence of global geomagnetic disturbances during earthquakes, events that have been documented by observations and reported in numerous publications in leading Russian geophysical journals. Validation of the above phenomenon could become a significant discovery in geophysics. Therefore, these results require thorough verification. The comparison of the disturbances presented in the publications with the data from high-latitude magnetometer stations has shown that all the morphological features of the long-period disturbances (with quasi periods of 10–40 min) identify them as characteristic manifestations of the activation of the magnetospheric-ionospheric current system in the auroral latitudes. Thus, the detected disturbances represent a mid-latitude response to electrojet variations in the auroral region and are not related to seismic activity. The short-period disturbances (with a characteristic period less than 1 min) proved to be either a coseismic geomagnetic response to a surface seismic wave or a burst of Pc3 pulsations of magnetospheric origin, occasionally coinciding with the occurrence of a distant earthquake. This study clearly demonstrates that the identification of anomalous disturbances requires the efforts of both earthquake physics specialists and space weather experts.

摘要:本文研究了在地震期间发生全球地磁扰动的可能性,这些事件已经被观测记录下来,并在俄罗斯主要的地球物理期刊上发表了许多出版物。上述现象的验证将成为地球物理学的重大发现。因此,这些结果需要彻底的验证。与高纬度磁力计观测资料的比较表明,这些长周期扰动(准周期为10 ~ 40 min)的所有形态特征都表明它们是极光纬度磁层-电离层电流系统激活的特征表现。因此,探测到的扰动代表了对极光区域电喷流变化的中纬度响应,与地震活动无关。短周期扰动(特征周期小于1分钟)被证明要么是对地表地震波的同震地磁响应,要么是磁层起源的Pc3脉冲爆发,偶尔与远处地震的发生同时发生。这项研究清楚地表明,异常扰动的识别需要地震物理专家和空间气象专家的共同努力。
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引用次数: 0
Tectonic Slickensides and Fault Gouge as Markers of Mechanical Instability in Fault Zones of Different Depth Levels 构造滑脱体和断层泥作为不同深度断裂带力学不稳定的标志
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-18 DOI: 10.1134/S1069351325700119
Yu. A. Morozov, M. A. Matveev, A. I. Smulskaya, A. S. Larkov

Issues of the influence of rock composition and depth level of dynamic mobility on its geomechanical regime are considered with a number of natural examples from noncoeval terrigenous, metamorphic, and magmatic complexes and geostructural positions by studying fault gouge and films of slickensides. The features of rock material alteration in weakly lithified strata of the near-surface part of the crust and in consolidated rock and mineral varieties of a slightly deeper level in the transition zone from aseismic to seismogenic behavior of faults are assessed. The article demonstrates the consequences of mechanochemical alteration of rocks of different composition, changes in the thermodynamic parameters of metamorphic reactions, their volumetric effects and thermal energy orientation, as well as the influence of mineral-phase and structural-textural rearrangements on the mechanical instability of the displacement zone, its strengthening or weakening during dynamic development. The structural and material markers of stable, aseismic slip along the fault and unstable seismogenic displacement are characterized.

通过对非同世陆源、变质、岩浆杂岩和地质构造位置的研究,探讨了岩石成分和动力活动深度对其地质力学状态的影响。评价了地壳近地表弱岩化地层和断层地震发震行为过渡带较深层固结岩石及矿物品种的岩石物质蚀变特征。本文论证了不同成分岩石的力学化学蚀变的后果,变质反应热力学参数的变化,变质反应的体积效应和热能取向,以及矿相和结构-织构重排对位移带力学不稳定性的影响,以及在动态发育过程中位移带力学不稳定性的增强或减弱。描述了沿断层稳定、地震滑动和不稳定发震位移的结构和物质标志。
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引用次数: 0
On Finding Stable Approximate Solutions of Linear Inverse Problems of Gravimetry in the Discrete Potential Theory: A Local Version 在离散势理论中求重力线性反问题的稳定近似解:一个局部版本
IF 1 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-07-18 DOI: 10.1134/S1069351325700089
I. E. Stepanova, I. I. Kolotov, A. N. Levashov, A. V. Gorbachev

Abstract—We consider the algorithms for solving linear inverse problems of gravimetry in the framework of discrete potential theory in the local version. The main focus is on ways to find a discrete analog of the fundamental solution of the Laplace equation in Cartesian coordinates in a three-dimensional (3D) space. The grid analog of the fundamental solution of the Laplace equation is reconstructed at the nodes of a regular 3D grid using the matrix sweep method. A system of linear algebraic equations (SLAE) is then solved to find the distribution of gravitating masses at the nodes of the same grid from the values of the grid gravitational potential known on some subset of nodes.

摘要:本文在局部版本的离散势理论框架下,研究了求解重力测量线性逆问题的算法。主要的焦点是如何在三维(3D)空间中找到笛卡尔坐标下拉普拉斯方程基本解的离散模拟。利用矩阵扫描法在规则三维网格节点上重建了拉普拉斯方程基本解的网格模拟。然后求解线性代数方程组(SLAE),从已知的网格引力势值在某些节点子集上求出同一网格节点上的重力质量分布。
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引用次数: 0
期刊
Izvestiya, Physics of the Solid Earth
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