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Efficient Multigrid Algorithms for Three-Dimensional Electromagnetic Forward Modeling 用于三维电磁前向建模的高效多网格算法
IF 4.6 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-03-19 DOI: 10.1007/s10712-025-09879-7
Yongfei Wang, Jianxin Liu, Rongwen Guo

Multigrid (MG) methods solve large linear equations on fine grids by projecting them onto progressively coarser grids, on which the problem can be solved more cheaply. They have become among the most effective and prospective solvers for large linear systems. However, due to the abundant null solution space and the inclusion of the air layer, traditional MG methods struggle to converge in three-dimensional (3D) electromagnetic (EM) numerical forward modeling. Served as one major contribution of this review, we provide a complete review on strategies, introduced in recent decades to develop efficient MG algorithms for EM forward modeling. We focus on how these strategies handle the convergence difficulties encountered in EM numerical forward modeling. Another observation is that most state-of-the-art MG solvers have been developed and examined against traditional Krylov subspace iterative solvers, but there is little knowledge on the numerical performance of different strategies. Therefore, another primary contribution of this work is to provide a complete review of the numerical performance of different strategies used in MG solvers for 3D EM forward modeling in geophysical applications. For this purpose, firstly, we briefly introduce on finite difference and finite element numerical discretization of the electrical field partial differential equations to demonstrate why EM forward modeling is challenging to solve. Subsequently, some background information on MG methods is provided to show how they can be implemented in general. Then, different strategies used in different MG methods are introduced in great detail to address the convergence issues encountered in EM forward modeling in geophysical applications, caused by the abundant null solution space and the inclusion of the air layer. Finally, we present four newly developed MG algorithms and compare their overall numerical performance in terms of their parallel ability, stability, efficiency and memory cost by using two increasingly complex models. Since one major motivation for improving the EM forward modeling efficiency is to speed up the inversion process, their perspective of efficiency improvement in EM inversions has been discussed. On this basis, authors and researchers can choose one particular MG solver for their own EM forward modeling problems.

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引用次数: 0
Atmospheric Gravity Waves and Medium Scale Traveling Ionospheric Disturbances at Auroral Latitudes
IF 4.6 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-03-06 DOI: 10.1007/s10712-025-09880-0
Alexander Kozlovsky, Gunter Stober, Ruslan Sherstyukov, Mark Lester, Evgenia Belova, Johan Kero, Masaki Tsutsumi, Njål Gulbrandsen, Satonori Nozawa

To investigate physical links between the Earth atmosphere and ionosphere, we present data of the medium-scale atmospheric gravity waves (AGWs, periods 25–100 min) observed at auroral latitudes. The AGWs at 80–100 km altitude were inferred from the wind data of the Nordic meteor radar Cluster with spatial/height/time resolution 90 km/5 km/10 min respectively. At the same time, medium-scale traveling ionospheric disturbances (MSTIDs) were detected as variations of the electron density (critical frequency foF2) at the height of F2 maximum (hmF2, 250–350 km) in the data of the ionosonde at Sodankylä Geophysical Observatory (67°N, 27°E, Finland) operating with 1-min time resolution. We found that, except a “fall anomaly” in mid-September–mid-December, the season-local time distributions of AGW at 90 km and MSTID at hmF2 are similar. Namely, larger amplitudes are observed in the dark-sky conditions, such that the separation between smaller and larger amplitudes occurs at solar terminator. However, during the fall anomaly, amplitudes of MSTID at hmF2 are the same as in spring- and wintertime, whereas AGWs at 90 km are practically suppressed. This anomaly starts with the fall transition in the atmospheric circulation and is associated with a sharp change of the phase of semi-diurnal tides. The results are consistent with the idea that the AGWs observed near the mesopause may be generated due to turbulence in the lower atmosphere (below) or due to electrodynamical forces and auroral activity in the ionospheric E-layer. The latter plays a major role in the auroral region and may be more important in dark-sky conditions.

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引用次数: 0
The Active Plasma and E-field Sounders (APES) Mission Concept
IF 4.6 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-02-26 DOI: 10.1007/s10712-025-09878-8
A. T. Chartier, C. R. Skolar, R. H. Esser, L. Almarhabi, A. Haapala, J. Carroll, C. Ward

The Active Plasma and E-field Sounders (APES) mission concept aims to resolve orders-of-magnitude errors in modeling transionospheric radio propagation through the midlatitude trough, and to determine which physical mechanism(s) are responsible for generating plasma irregularities there. APES will observe ionospheric electron density profiles and signals from ground transmitters along its orbital track, allowing for a constrained test of propagation models. The mission will also perform small-scale in situ science, differentiating between the long-held temperature gradient instability and the Kelvin–Helmholtz/gradient drift instabilities as potential causes of irregularities in the trough. The centerpiece of the mission is the first-ever oblique topside ionospheric sounder, providing 2D electron density-altitude profiles along the orbital track through cooperative operation between two satellites. The leading satellite will produce swept-frequency HF transmissions that will reflect off the ionosphere before being received by the follower. The following satellite will also receive signals transmitted by the Super Dual Auroral Radar Network (SuperDARN). Both satellites will observe electron density at 1 m along-track resolution, while single-point electron temperature, vector electric field, neutral density and neutral wind will also be provided. The mission will operate in a nominal 350 × 800 km elliptical orbit, with along-track spacing varied from < 1 to 750 km over 12 months of science operations in an inclination between 50–87° and 103–130° (depending on the rideshare). Each bus carries a 250 m/s propulsion system to control eccentricity and for orbit maintenance. The orbital analysis has been used to select orbits with > 500 passes through the trough in each quarter.

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引用次数: 0
Monitoring the Multiple Stages of Climate Tipping Systems from Space: Do the GCOS Essential Climate Variables Meet the Needs?
IF 4.6 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-02-18 DOI: 10.1007/s10712-024-09866-4
S. Loriani, A. Bartsch, E. Calamita, J. F. Donges, S. Hebden, M. Hirota, A. Landolfi, T. Nagler, B. Sakschewski, A. Staal, J. Verbesselt, R. Winkelmann, R. Wood, N. Wunderling

Many components of the Earth system feature self-reinforcing feedback processes that can potentially scale up a small initial change to a fundamental state change of the underlying system in a sometimes abrupt or irreversible manner beyond a critical threshold. Such tipping points can be found across a wide range of spatial and temporal scales and are expressed in very different observable variables. For example, early-warning signals of approaching critical transitions may manifest in localised spatial pattern formation of vegetation within years as observed for the Amazon rainforest. In contrast, the susceptibility of ice sheets to tipping dynamics can unfold at basin to sub-continental scales, over centuries to even millennia. Accordingly, to improve the understanding of the underlying processes, to capture present-day system states and to monitor early-warning signals, tipping point science relies on diverse data products. To that end, Earth observation has proven indispensable as it provides a broad range of data products with varying spatio-temporal scales and resolutions. Here we review the observable characteristics of selected potential climate tipping systems associated with the multiple stages of a tipping process: This includes i) gaining system and process understanding, ii) detecting early-warning signals for resilience loss when approaching potential tipping points and iii) monitoring progressing tipping dynamics across scales in space and time. By assessing how well the observational requirements are met by the Essential Climate Variables (ECVs) defined by the Global Climate Observing System (GCOS), we identify gaps in the portfolio and what is needed to better characterise potential candidate tipping elements. Gaps have been identified for the Amazon forest system (vegetation water content), permafrost (ground subsidence), Atlantic Meridional Overturning Circulation, AMOC (section mass, heat and fresh water transports and freshwater input from ice sheet edges) and ice sheets (e.g. surface melt). For many of the ECVs, issues in specifications have been identified. Of main concern are spatial resolution and missing variables, calling for an update of the ECVS or a separate, dedicated catalogue of tipping variables.

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引用次数: 0
Retirement of Editor-in-Chief
IF 4.9 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-02-17 DOI: 10.1007/s10712-025-09876-w
Michael J. Rycroft
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引用次数: 0
Change of Editor-in-Chief
IF 4.9 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-02-17 DOI: 10.1007/s10712-025-09877-9
Shun-ichiro Karato
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引用次数: 0
Why is the Earth System Oscillating at a 6-Year Period?
IF 4.6 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-02-10 DOI: 10.1007/s10712-024-09874-4
Anny Cazenave, Julia Pfeffer, Mioara Mandea, Véronique Dehant, Nicolas Gillet

A 6-year cycle has long been recognized to influence the Earth’s rotation, the internal magnetic field and motions in the fluid Earth’s core. Recent observations have revealed that a 6-year cycle also affects the angular momentum of the atmosphere and several climatic parameters, including global mean sea level rise, precipitation, land hydrology, Arctic surface temperature, ocean heat content and natural climate modes. In this review, we first present observational evidences supporting the existence of a 6-year cycle in the Earth system, from its deep interior to the climate system. We then explore potential links between the Earth’s core, mantle and atmosphere that might explain the observations, and investigate various mechanisms that could drive the observed 6-year oscillation throughout the whole Earth system.

人们早已认识到 6 年周期会影响地球自转、内部磁场和流体地核运动。最近的观测发现,6 年周期还影响大气角动量和几个气候参数,包括全球平均海平面上升、降水、陆地水文、北极表面温度、海洋热含量和自然气候模式。在这篇综述中,我们首先介绍了支持地球系统(从内部深处到气候系统)存在 6 年周期的观测证据。然后,我们探讨了地核、地幔和大气之间可能解释观测结果的潜在联系,并研究了可能在整个地球系统中驱动所观测到的 6 年振荡的各种机制。
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引用次数: 0
India’s Earthquake Early Warning Systems: A Review of Developments and Challenges
IF 4.6 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-01-29 DOI: 10.1007/s10712-025-09875-x
Himanshu Mittal, Shanker Pal, Rajiv Kumar, Atul Saini, Yih-Min Wu, Ambikapathy Ammani, R. C. Patel, Sandeep, O. P. Mishra

The risk of earthquakes and their effects on both nature and infrastructure in seismically active regions of India require adaptable and scalable earthquake early warning (EEW) systems. Developing a robust EEW system is crucial to mitigate earthquake risks in the region, but it is a challenging task. Various institutes have attempted to develop EEW systems using different methods. Still, there is no common consensus, and issues remain with response time and reliability of disseminated information to the public. Efforts by institutions like the Indian Institute of Technology, Roorkee, have advanced EEW technologies, focusing on dense seismic sensor networks, real-time data processing algorithms, and effective dissemination mechanisms. Recent initiatives aim to improve sensor sensitivity and accuracy through fast communication systems for quicker earthquake detection. However, challenges persist in making EEW accessible and affordable, particularly in remote areas, due to the lack of a nationwide system. The National Centre for Seismology (NCS), under the Ministry of Earth Sciences (MoES), is piloting an EEW system in the NW Himalayas, which could lead to a nationwide implementation. Developing region-specific algorithms for rapid data analysis and nurturing collaboration between academic institutions, government agencies, and international partners are crucial steps. Public awareness campaigns and educational programs are essential for community resilience and timely response to earthquake alerts. Establishing a robust EEW system in India could significantly enhance earthquake risk mitigation efforts in earthquake-prone zones of the country and should be viewed within the context of a holistic risk reduction framework. EEW systems can enhance mitigation efforts, but they must be complemented by other essential measures, such as improving building resilience and promoting public awareness.

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引用次数: 0
Meta Learning for Improved Neural Network Wavefield Solutions 改进神经网络波场解决方案的元学习
IF 4.9 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2025-01-04 DOI: 10.1007/s10712-024-09872-6
Shijun Cheng, Tariq Alkhalifah

Physics-informed neural networks (PINNs) provide a flexible and effective alternative for estimating seismic wavefield solutions due to their typical mesh-free and unsupervised features. However, their accuracy and training cost restrict their applicability. To address these issues, we propose a novel initialization for PINNs based on meta-learning to enhance their performance. In our framework, we first utilize meta-learning to train a common network initialization for a distribution of medium parameters (i.e., velocity models). This phase employs a unique training data container, comprising a support set and a query set. We use a dual-loop approach, optimizing network parameters through a bidirectional gradient update from the support set to the query set. Following this, we use the meta-trained PINN model as the initial model for a regular PINN training for a new velocity model, where the optimization of the network is jointly constrained by the physical and regularization losses. Numerical results demonstrate that, compared to the vanilla PINN with random initialization, our method achieves a much faster convergence speed, and also obtains a significant improvement in the results accuracy. Meanwhile, we showcase that our method can be integrated with existing optimal techniques to further enhance its performance.

物理信息神经网络(pinn)由于其典型的无网格和无监督特征,为估计地震波场解决方案提供了一种灵活有效的替代方案。然而,其准确性和训练成本限制了其适用性。为了解决这些问题,我们提出了一种基于元学习的pin初始化方法来提高它们的性能。在我们的框架中,我们首先利用元学习来训练一个中等参数分布(即速度模型)的公共网络初始化。这个阶段使用一个唯一的训练数据容器,包括一个支持集和一个查询集。我们使用双环方法,通过从支持集到查询集的双向梯度更新来优化网络参数。接下来,我们使用元训练的PINN模型作为初始模型,对新的速度模型进行规则的PINN训练,其中网络的优化受到物理损失和正则化损失的共同约束。数值结果表明,与随机初始化的vanilla PINN相比,本文方法的收敛速度要快得多,并且在结果精度上也有了明显的提高。同时,我们证明了我们的方法可以与现有的优化技术相结合,进一步提高其性能。
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引用次数: 0
An Overview of Theoretical Studies of Non-Seismic Phenomena Accompanying Earthquakes 伴随地震的非地震现象理论研究综述
IF 4.9 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-12-30 DOI: 10.1007/s10712-024-09869-1
Vadim V. Surkov

In this paper, we review the theoretical studies of the electromagnetic and other non-seismic phenomena accompanying earthquakes. This field of geophysical research is at the interception of several sciences: electrodynamics, solid-state physics, fracture mechanics, seismology, acoustic-gravity waves, magnetohydrodynamics, ionospheric plasma, etc. In order to make physics of these phenomena as transparent as possible, we use a simplified way of deriving some theoretical results and restrict our analysis to order-of-magnitude estimates. The main emphasis is on those theoretical models which give not only a qualitative, but also a quantitative, description of the observed phenomena. After some introductory material, the review is begun with an analysis of the causes of local changes in the rock conductivity occasionally observed before earthquake occurrence. The mechanisms of electrical conductivity in dry and wet rocks, including the electrokinetic effect, are discussed here. In the next section, the theories explaining the generation of low-frequency electromagnetic perturbations resulting from the rock fracture are covered. Two possible mechanisms of the coseismic electromagnetic response to the propagation of seismic waves are studied theoretically. Hereafter, we deal with atmospheric phenomena, which can be related to seismic events. Here we discuss models describing the effect of pre-seismic changes in radon activity on atmospheric conductivity and examine hypotheses explaining abnormal changes in the atmospheric electric field and in infrared radiation from the Earth, which are occasionally observed on Earth and from space over seismically active regions. In the next section, we review several physical mechanisms of ionospheric perturbations associated with seismic activity. Among them are acoustic-gravity waves resulting from the propagation of seismic waves and tsunamis and ionospheric perturbations caused by vertical acoustic resonance in the atmosphere. In the remainder of this paper, we discuss whether variations in radon activity and vertical seismogenic currents in the atmosphere can affect the ionosphere.

本文综述了地震伴生电磁现象和其他非地震现象的理论研究。这个地球物理研究领域是在几个科学的拦截:电动力学,固体物理学,断裂力学,地震学,声重力波,磁流体力学,电离层等离子体等。为了使这些现象的物理学尽可能透明,我们使用一种简化的方法来推导一些理论结果,并将我们的分析限制在数量级估计上。主要的重点是那些理论模型,它们不仅能定性地,而且能定量地描述所观察到的现象。在一些介绍性材料之后,本文开始分析地震发生前偶尔观察到的岩石导电性局部变化的原因。本文讨论了干湿岩石的导电性机制,包括电动力学效应。在下一节中,将介绍解释岩石破裂引起的低频电磁扰动产生的理论。从理论上研究了地震波传播的同震电磁响应的两种可能机制。接下来,我们将讨论与地震事件有关的大气现象。在这里,我们讨论了描述地震前氡活度变化对大气电导率影响的模型,并检验了解释大气电场和来自地球的红外辐射异常变化的假设,这些异常变化偶尔在地球上和地震活跃区域上空从太空观测到。在下一节中,我们将回顾与地震活动相关的电离层扰动的几种物理机制。其中包括地震波和海啸传播引起的声重力波和大气中垂直声共振引起的电离层扰动。在本文的其余部分,我们将讨论大气中氡活度和垂直孕震流的变化是否会影响电离层。
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引用次数: 0
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Surveys in Geophysics
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