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Constructing Priors for Geophysical Inversions Constrained by Surface and Borehole Geochemistry 构建受地表和钻孔地球化学制约的地球物理反演先验值
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-06-13 DOI: 10.1007/s10712-024-09843-x
Xiaolong Wei, Zhen Yin, Celine Scheidt, Kris Darnell, Lijing Wang, Jef Caers

Prior model construction is a fundamental component in geophysical inversion, especially Bayesian inversion. The prior model, usually derived from available geological information, can reduce the uncertainty of model characteristics during the inversion. However, the prior geological data for inferring a prior distribution model are often limited in real cases. Our work presents a novel framework to create 3D geophysical prior models using soil geochemistry and borehole rock sample measurements. We focus on the Bayesian inversion, which enables encoding of knowledge and multiple non-geophysical data into the prior. The new framework developed in our research comprises three main parts, namely correlation analysis, prior model reconstruction, and Bayesian inversion. We investigate the correlations between surface and subsurface geochemical features, as well as the correlation between geochemistry and geophysics, using canonical correlation analysis for the surface and borehole geochemistry. Based on the resulting correlations, we construct the prior susceptibility model. The informed prior model is then tested using geophysical forward modeling and outlier detection methods. In this test, we aim to falsify the prior model, which happens when the model cannot predict the field geophysical observation. To obtain the posterior models, the reliable prior models are incorporated into a Bayesian inversion framework. Using a real case of exploration in the Central African Copperbelt, we illustrate the workflow of constructing the high-resolution 3D stratigraphic model conditioned on soil geochemistry, borehole data, and airborne geophysics.

先验模型构建是地球物理反演,尤其是贝叶斯反演的基本组成部分。先验模型通常来自现有的地质信息,可以减少反演过程中模型特征的不确定性。然而,在实际情况中,用于推断先验分布模型的先验地质数据往往是有限的。我们的工作提出了一个新颖的框架,利用土壤地球化学和钻孔岩石样本测量来创建三维地球物理先验模型。我们的重点是贝叶斯反演,它能将知识和多种非地球物理数据编码到先验模型中。我们研究开发的新框架包括三个主要部分,即相关性分析、先验模型重建和贝叶斯反演。我们利用地表和井眼地球化学的典型相关分析,研究地表和地下地球化学特征之间的相关性,以及地球化学和地球物理之间的相关性。根据所得到的相关性,我们构建了先验易感性模型。然后使用地球物理前向建模和离群点检测方法对知情先验模型进行测试。在这个测试中,我们的目的是证伪先验模型,当模型无法预测现场地球物理观测结果时,就会出现这种情况。为了获得后验模型,我们将可靠的先验模型纳入贝叶斯反演框架。通过非洲中部铜带勘探的真实案例,我们说明了以土壤地球化学、钻孔数据和航空地球物理为条件构建高分辨率三维地层模型的工作流程。
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引用次数: 0
Stress-Dependent PP-Wave Reflection Coefficient for Fourier-Coefficients-Based Seismic Inversion in Horizontally Stressed Vertical Transversely Isotropic Media 基于傅立叶系数的水平应力垂直横向各向同性介质地震反演的应力相关 PP 波反射系数
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-06-13 DOI: 10.1007/s10712-024-09841-z
Xinpeng Pan, Jianxin Liu

The subsurface in situ stress fields significantly influence the elastic and anisotropic properties of rocks, yet traditional linear elastic theories often overlook the impact of stress on seismic response characteristics. Nonlinear acoustoelastic theory integrates third-order elastic constants (TOECs) to elucidate the influence of stress on changes in elastic and anisotropic properties of stressed rocks. A comprehensive examination of recent scholarly investigations on nonlinear acoustoelastic phenomena precedes the introduction of an innovative stress-dependent equation for the PP-wave reflection coefficient. This equation delineates the dependence of azimuthal seismic response on horizontal uniaxial stress in inherently vertical transversely isotropic (VTI) media, or those VTI formations induced by a single set of horizontal aligned fractures. Emphasis is placed on delineating stress-induced anisotropy and elucidating azimuthal PP-wave reflection characteristics in horizontally uniaxially stressed VTI media. Additionally, this discourse extends to more intricate scenarios involving horizontally biaxially and triaxially stressed VTI media, as delineated by nonlinear acoustoelastic theory. Subsequently, the reflection coefficient of horizontally uniaxially stressed VTI media is expressed in terms of azimuthal Fourier coefficients (FCs), revealing that the unstressed VTI background exhibits heightened sensitivity to zeroth-order FC, while the stress-induced anisotropy manifests greater sensitivity to second-order FC. Through the application of azimuthal FCs-based amplitude versus offset and azimuth (AVOAz) inversion method to both synthetic and field datasets, the proposed model and approach offer promising avenues for reservoir characterization in VTI media subject to horizontal uniaxial stress conditions.

地下原位应力场对岩石的弹性和各向异性有很大影响,但传统的线性弹性理论往往忽略了应力对地震响应特性的影响。非线性声弹性理论整合了三阶弹性常数(TOECs),以阐明应力对受压岩石弹性和各向异性特性变化的影响。在对非线性声弹性现象的最新学术研究进行全面审查之后,我们提出了一个创新的应力相关 PP 波反射系数方程。该方程描述了在固有垂直横向各向同性(VTI)介质或由单组水平排列裂缝诱发的 VTI 地层中,方位角地震响应对水平单轴应力的依赖性。重点是划分应力引起的各向异性,阐明水平单轴应力 VTI 介质中的方位 PP 波反射特征。此外,这一论述还扩展到非线性声弹性理论所描述的涉及水平双轴和三轴应力 VTI 介质的更复杂情况。随后,水平单轴受力 VTI 介质的反射系数用方位角傅立叶系数(FC)表示,揭示了非受力 VTI 背景对零阶 FC 的敏感度更高,而应力引起的各向异性对二阶 FC 的敏感度更高。通过将基于方位角频谱的振幅与偏移和方位角(AVOAz)反演方法应用于合成和现场数据集,所提出的模型和方法为水平单轴应力条件下 VTI 介质的储层特征描述提供了很好的途径。
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引用次数: 0
Reflecting on the Science of Climate Tipping Points to Inform and Assist Policy Making and Address the Risks they Pose to Society 反思气候临界点科学,为政策制定提供信息和帮助,应对其给社会带来的风险
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-06-04 DOI: 10.1007/s10712-024-09844-w
T. F. Stocker, R. G. Jones, M. I. Hegglin, T. M. Lenton, G. C. Hegerl, S. I. Seneviratne, N. van der Wel, R. A. Wood

There is a diverging perception of climate tipping points, abrupt changes and surprises in the scientific community and the public. While such dynamics have been observed in the past, e.g., frequent reductions of the Atlantic meridional overturning circulation during the last ice age, or ice sheet collapses, tipping points might also be a possibility in an anthropogenically perturbed climate. In this context, high impact—low likelihood events, both in the physical realm as well as in ecosystems, will be potentially dangerous. Here we argue that a formalized assessment of the state of science is needed in order to establish a consensus on this issue and to reconcile diverging views. This has been the approach taken by the Intergovernmental Panel on Climate Change (IPCC). Since 1990, the IPCC has consistently generated robust consensus on several complex issues, ranging from the detection and attribution of climate change, the global carbon budget and climate sensitivity, to the projection of extreme events and their impact. Here, we suggest that a scientific assessment on tipping points, conducted collaboratively by the IPCC and the Intergovernmental Science-Policy Platform on Biodiversity and Ecosystem Services, would represent an ambitious yet necessary goal to be accomplished within the next decade.

科学界和公众对气候临界点、突变和意外的认识存在分歧。虽然过去曾观察到过这种动态,例如上一个冰河时期大西洋经向翻转环流的频繁减少或冰盖崩塌,但在人为扰动的气候中也可能出现临界点。在这种情况下,无论是在物理领域还是在生态系统中,影响大、可能性小的事件都将具有潜在的危险性。在此,我们认为需要对科学现状进行正式评估,以便就这一问题达成共识并调和不同观点。这正是政府间气候变化专门委员会(IPCC)所采取的方法。自 1990 年以来,政府间气候变化专门委员会一直在几个复杂问题上达成强有力的共识,从气候变化的检测和归因、全球碳预算和气候敏感性,到极端事件及其影响的预测,不一而足。在此,我们建议,由政府间气候变化专门委员会和生物多样性与生态系统服务政府间科学政策平台合作开展的临界点科学评估将是在未来十年内实现的一个雄心勃勃但又必不可少的目标。
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引用次数: 0
Tropical Deep Convection, Cloud Feedbacks and Climate Sensitivity 热带深对流、云层反馈和气候敏感性
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-05-31 DOI: 10.1007/s10712-024-09831-1
Graeme L. Stephens, Kathleen A. Shiro, Maria Z. Hakuba, Hanii Takahashi, Juliet A. Pilewskie, Timothy Andrews, Claudia J. Stubenrauch, Longtao Wu

This paper is concerned with how the diabatically-forced overturning circulations of the atmosphere, established by the deep convection within the tropical trough zone (TTZ), first introduced by Riehl and (Malkus) Simpson, in Contr Atmos Phys 52:287–305 (1979), fundamentally shape the distributions of tropical and subtropical cloudiness and the changes to cloudiness as Earth warms. The study first draws on an analysis of a range of observations to understand the connections between the energetics of the TTZ, convection and clouds. These observations reveal a tight coupling of the two main components of the diabatic heating, the cloud component of radiative heating, shaped mostly by high clouds formed by deep convection, and the latent heating associated with the precipitation. Interannual variability of the TTZ reveals a marked variation that connects the depth of the tropical troposphere, the depth of convection, the thickness of high clouds and the TOA radiative imbalance. The study examines connections between this convective zone and cloud changes further afield in the context of CMIP6 model experiments of climate warming. The warming realized in the CMIP6 SSP5-8.5 scenario multi-model experiments, for example, produces an enhanced Hadley circulation with increased heating in the zone of tropical deep convection and increased radiative cooling and subsidence in the subtropical regions. This impacts low cloud changes and in turn the model warming response through low cloud feedbacks. The pattern of warming produced by models, also influenced by convection in the tropical region, has a profound influence on the projected global warming.

本文关注由 Riehl 和 (Malkus) Simpson 在 Contr Atmos Phys 52:287-305 (1979)中首次提出的热带槽区(TTZ)内深层对流所建立的大气 diabatically-forced 翻转环流如何从根本上塑造热带和亚热带云量的分布以及云量随着地球变暖而发生的变化。该研究首先分析了一系列观测数据,以了解热带气旋带的能量、对流和云之间的联系。这些观测数据揭示了二重加热的两个主要部分--辐射加热的云层部分(主要由深层对流形成的高云形成)和与降水相关的潜热加热之间的紧密耦合。TTZ 的年际变化揭示了热带对流层深度、对流深度、高云厚度和 TOA 辐射不平衡之间的显著联系。研究结合 CMIP6 气候变暖模式实验,探讨了对流区与更远处云层变化之间的联系。例如,CMIP6 SSP5-8.5 情景多模式实验中实现的气候变暖会增强哈德利环流,增加热带深对流区的加热,增加亚热带地区的辐射冷却和下沉。这影响了低云变化,进而通过低云反馈影响模式变暖响应。模式产生的变暖模式也受到热带地区对流的影响,对预测的全球变暖有着深远的影响。
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引用次数: 0
Near-Surface Rayleigh Wave Dispersion Curve Inversion Algorithms: A Comprehensive Comparison 近表面瑞利波频散曲线反演算法:综合比较
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-05-21 DOI: 10.1007/s10712-024-09826-y
Xiao-Hui Yang, Yuanyuan Zhou, Peng Han, Xuping Feng, Xiaofei Chen

Rayleigh wave exploration is a powerful method for estimating near-surface shear-wave (S-wave) velocities, providing valuable insights into the stiffness properties of subsurface materials inside the Earth. The dispersion curve inversion of Rayleigh wave corresponds to the optimization process of searching for the optimal solutions of earth model parameters based on the measured dispersion curves. At present, diversified inversion algorithms have been introduced into the process of Rayleigh wave inversion. However, limited studies have been conducted to uncover the variations in inversion performance among commonly used inversion algorithms. To obtain a comprehensive understanding of the optimization performance of these inversion algorithms, we systematically investigate and quantitatively assess the inversion performance of two bionic algorithms, two probabilistic algorithms, a gradient-based algorithm, and two neural network algorithms. The evaluation indices include the computational cost, accuracy, stability, generalization ability, noise effects, and field data processing capability. It is found that the Bound-constrained limited-memory Broyden–Fletcher–Goldfarb–Shanno (L-BFGS-B) algorithm and the broad learning (BL) network have the lowest computational cost among candidate algorithms. Furthermore, the transitional Markov Chain Monte Carlo algorithm, deep learning (DL) network, and BL network outperform the other four algorithms regarding accuracy, stability, resistance to noise effects, and capability to process field data. The DL and BL networks demonstrate the highest level of generalization compared to the other algorithms. The comparison results reveal the variations in candidate algorithms for the inversion task, causing a clear understanding of the inversion performance of candidate algorithms. This study can promote the S-wave velocity estimation by Rayleigh wave inversion.

瑞利波探测是一种估算近地表剪切波(S 波)速度的强大方法,可为了解地球内部地下材料的刚度特性提供宝贵的信息。雷利波频散曲线反演相当于根据测得的频散曲线寻找地球模型参数最优解的优化过程。目前,已有多种反演算法被引入到瑞利波反演过程中。然而,对常用反演算法之间反演性能差异的研究还很有限。为了全面了解这些反演算法的优化性能,我们对两种仿生算法、两种概率算法、一种基于梯度的算法和两种神经网络算法的反演性能进行了系统研究和定量评估。评价指标包括计算成本、精度、稳定性、泛化能力、噪声影响和现场数据处理能力。结果发现,在候选算法中,有界约束的有限内存 Broyden-Fletcher-Goldfarb-Shanno 算法(L-BFGS-B)和广义学习(BL)网络的计算成本最低。此外,过渡马尔可夫链蒙特卡洛算法、深度学习(DL)网络和广义学习(BL)网络在准确性、稳定性、抗噪声影响和处理现场数据的能力方面都优于其他四种算法。与其他算法相比,DL 和 BL 网络的泛化程度最高。比较结果揭示了反演任务中候选算法的差异,使人们对候选算法的反演性能有了清晰的认识。这项研究可促进通过瑞利波反演估算 S 波速度。
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引用次数: 0
Multiscalar Integration of Dense and Sparse Spatial Data: an Archaeological Case Study with Magnetometry and Geochemistry 高密度和稀疏空间数据的多磁场整合:磁力测量和地球化学考古案例研究
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-05-21 DOI: 10.1007/s10712-024-09834-y
Jan Horák, Richard Hewitt, Julien Thiesson, Roman Křivánek, Alžběta Danielisová, Martin Janovský

Integration of different kinds of data is an important issue in archaeological prospection. However, the current methodological approaches are underdeveloped and rarely use the data to their maximum potential. Common approaches to integration in the geophysical sciences are mostly just various forms of comparison. We argue that true integration should involve the mathematical manipulation of input data such that the original values of the input data are changed, or that new variables are produced. To address this important research gap, we present an innovative approach to the analysis of geochemical and geophysical datasets in prospection-focused disciplines. Our approach, which we refer to as “multiscalar integration” to differentiate it from simpler methods, involves the application of mathematical methods and tools to process the data in a unified way. To demonstrate our approach, we focus on integrating geophysical data (magnetometry) with geochemical data (elemental content). Our approach comprises three main stages: Quantification of the data deviation from random distributions, linear modelling of geophysical and geochemical data and integration based on weighting of the different elements derived in previous steps. All the steps of the workflow can be also applied separately and independently as needed or preferred. Our approach is implemented in the R environment for statistical computing. All data, functions and scripts used in the work are available from open access repositories (Zenodo.org and Github.com) so that others can test, modify and apply our proposed methods to new cases and problems. Our approach has the following advantages: (1) It allows the rapid exploration of multiple data sources in an unified way; (2) it can increase the utility of geochemical data across diverse prospection disciplines; (3) it facilitates the identification of links between geochemical and geophysical data (or generally, between point-based and raster data); (4) it innovatively integrates various datasets by weighting the information provided by each; (5) it is simple to apply following a step-by-step framework; (6) the code and workflow is fully open to allow for customization, improvements and additions.

整合不同类型的数据是考古勘探中的一个重要问题。然而,目前的方法还不够完善,很少能最大限度地发挥数据的潜力。地球物理科学中常见的整合方法大多只是各种形式的比较。我们认为,真正的整合应该是对输入数据进行数学处理,从而改变输入数据的原始值,或产生新的变量。针对这一重要的研究空白,我们提出了一种创新方法,用于分析以勘探为重点的学科中的地球化学和地球物理数据集。为了与简单的方法区分开来,我们将这种方法称为 "多磁栅集成",它涉及应用数学方法和工具以统一的方式处理数据。为了展示我们的方法,我们将重点放在地球物理数据(磁力测量)与地球化学数据(元素含量)的整合上。我们的方法包括三个主要阶段:数据偏离随机分布的量化、地球物理和地球化学数据的线性建模,以及基于前几个步骤中得出的不同元素的加权整合。工作流程中的所有步骤也可根据需要或偏好分别独立应用。我们的方法是在 R 统计计算环境中实现的。工作中使用的所有数据、函数和脚本均可从开放访问存储库(Zenodo.org 和 Github.com)中获取,以便其他人可以测试、修改和应用我们提出的方法来解决新的案例和问题。我们的方法具有以下优势:(1) 它允许以统一的方式快速探索多个数据源;(2) 它可以提高地球化学数据在不同勘探学科中的效用;(3) 它有助于识别地球化学数据和地球物理数据之间(或一般而言,点基数据和栅格数据之间)的联系;(4) 它通过对每个数据集提供的信息进行加权,创新性地整合了各种数据集;(5) 它按照逐步框架简单应用;(6) 代码和工作流程完全开放,允许定制、改进和添加。
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引用次数: 0
Meta-Processing: A robust framework for multi-tasks seismic processing 元处理:多任务地震处理的稳健框架
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-05-20 DOI: 10.1007/s10712-024-09837-9
Shijun Cheng, Randy Harsuko, Tariq Alkhalifah

Machine learning-based seismic processing models are typically trained separately to perform seismic processing tasks (SPTs) and, as a result, require plenty of high-quality training data. However, preparing training data sets is not trivial, especially for supervised learning (SL). Despite the variability in seismic data across different types and regions, some general characteristics are shared, such as their sinusoidal nature and geometric texture. To learn the shared features and thus, quickly adapt to various SPTs, we develop a unified paradigm for neural network-based seismic processing, called Meta-Processing, that uses limited training data for meta learning a common network initialization, which offers universal adaptability features. The proposed Meta-Processing framework consists of two stages: meta-training and meta-testing. In the former, each SPT is treated as a separate task and the training dataset is divided into support and query sets. Unlike conventional SL methods, here, the neural network (NN) parameters are updated by a bilevel gradient descent from the support set to the query set, iterating through all tasks. In the meta-testing stage, we also utilize limited data to fine-tune the optimized NN parameters in an SL fashion to conduct various SPTs, such as denoising, interpolation, ground-roll attenuation, image enhancement, and velocity estimation, aiming to converge quickly to ideal performance. Extensive numerical experiments are conducted to assess the effectiveness of Meta-Processing on both synthetic and real-world data. The findings reveal that our approach leads to a substantial improvement in the convergence speed and predictive performance of the NN.

基于机器学习的地震处理模型通常是为执行地震处理任务(SPT)而单独训练的,因此需要大量高质量的训练数据。然而,准备训练数据集并非易事,特别是对于监督学习 (SL) 而言。尽管不同类型和地区的地震数据各不相同,但它们都有一些共同特征,如正弦性质和几何纹理。为了学习这些共同特征,从而快速适应各种 SPT,我们开发了一种基于神经网络的地震处理统一范式,称为元处理,它使用有限的训练数据来元学习通用的网络初始化,从而提供通用的适应性特征。所提出的元处理框架包括两个阶段:元训练和元测试。在前者,每个 SPT 都被视为一个单独的任务,训练数据集被分为支持集和查询集。与传统的 SL 方法不同,这里的神经网络(NN)参数是通过从支持集到查询集的双级梯度下降来更新的,并在所有任务中反复进行。在元测试阶段,我们还利用有限的数据,以 SL 方式对优化后的神经网络参数进行微调,以进行各种 SPT,如去噪、插值、地滚衰减、图像增强和速度估计,目的是快速收敛到理想性能。我们进行了广泛的数值实验,以评估元处理在合成数据和实际数据上的有效性。实验结果表明,我们的方法大大提高了导航网的收敛速度和预测性能。
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引用次数: 0
Detectability of Seamount Eruptions Through a Quantum Technology Gravity Mission MOCAST+: Hunga Tonga, Fani Maoré and Other Smaller Eruptions 通过量子技术重力飞行任务 MOCAST+ 探测海山喷发的可探测性:洪加汤加、法尼毛雷和其他较小的喷发
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-05-10 DOI: 10.1007/s10712-024-09839-7
Carla Braitenberg, Alberto Pastorutti

Seamount eruptions alter the bathymetry and can occur undetected due to lack of explosive character. We review documented eruptions to define whether they could be detected by a future satellite gravity mission. We adopt the noise level in acquisitions of multi-satellite constellations as in the MOCAST+ study, with a proposed payload of a quantum technology gradiometer and clock. The review of underwater volcanoes includes the Hunga Tonga Hunga Ha’apai (HTHH) islands for which the exposed surface changed during volcanic unrests of 2014/2015 and 2021/2022. The Fani Maoré submarine volcanic eruption of 2018–2021 produced a new seamount 800 m high, emerging from a depth of 3500 m, and therefore not seen above sea surface. We review further documented submarine eruptions and estimate the upper limit of the expected gravity changes. We find that a MOCAST+ type mission should allow us to detect the subsurface mass changes generated by deep ocean submarine volcanic activity for volume changes of 6.5 km3 upwards, with latency of 1 year. This change is met by the HTHH and Fani Maoré volcanoes.

海山喷发会改变水深,并且由于缺乏爆炸特征而可能不被发现。我们回顾了记录在案的喷发事件,以确定未来的卫星重力任务能否探测到它们。我们采用了 MOCAST+ 研究中的多卫星星座采集噪音水平,并建议使用量子技术梯度仪和时钟作为有效载荷。对水下火山的审查包括洪加汤加洪加哈帕伊(HTHH)群岛,在 2014/2015 年和 2021/2022 年的火山动乱期间,该群岛的裸露表面发生了变化。2018-2021 年的 Fani Maoré 海底火山喷发产生了一座 800 米高的新海山,从 3500 米深处冒出,因此在海面上看不到。我们回顾了更多有记录的海底火山爆发,并估算了预期重力变化的上限。我们发现,通过 MOCAST+ 类型的飞行任务,我们应该能够探测到深海海底火山活动产生的次表层质量变化,其体积变化可达 6.5 立方公里,潜伏期为 1 年。HTHH 火山和 Fani Maoré 火山可以满足这一变化。
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引用次数: 0
Observational Assessment of Changes in Earth’s Energy Imbalance Since 2000 对 2000 年以来地球能量失衡变化的观测评估
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-05-07 DOI: 10.1007/s10712-024-09838-8
Norman G. Loeb, Seung-Hee Ham, Richard P. Allan, Tyler J. Thorsen, Benoit Meyssignac, Seiji Kato, Gregory C. Johnson, John M. Lyman

Satellite observations from the Clouds and the Earth’s Radiant Energy System show that Earth’s energy imbalance has doubled from 0.5 ± 0.2 Wm−2 during the first 10 years of this century to 1.0 ± 0.2 Wm2 during the past decade. The increase is the result of a 0.9 ± 0.3 Wm−2 increase absorbed solar radiation (ASR) that is partially offset by a 0.4 ± 0.25 Wm−2 increase in outgoing longwave radiation (OLR). Despite marked differences in ASR and OLR trends during the hiatus (2000–2010), transition-to-El Niño (2010–2016) and post-El Niño (2016–2022) periods, trends in net top-of-atmosphere flux (NET) remain within 0.1 Wm−2 per decade of one another, implying a steady acceleration of climate warming. Northern and southern hemisphere trends in NET are consistent to 0.06 ± 0.31 Wm−2 per decade due to a compensation between weak ASR and OLR hemispheric trend differences of opposite sign. We find that large decreases in stratocumulus and middle clouds over the sub-tropics and decreases in low and middle clouds at mid-latitudes are the primary reasons for increasing ASR trends in the northern hemisphere (NH). These changes are especially large over the eastern and northern Pacific Ocean, and coincide with large increases in sea-surface temperature (SST). The decrease in cloud fraction and higher SSTs over the NH sub-tropics lead to a significant increase in OLR from cloud-free regions, which partially compensate for the NH ASR increase. Decreases in middle cloud reflection and a weaker reduction in low-cloud reflection account for the increase in ASR in the southern hemisphere, while OLR changes are weak. Changes in cloud cover in response to SST increases imply a feedback to climate change yet a contribution from radiative forcing or internal variability cannot be ruled out.

云层和地球辐射能量系统的卫星观测结果表明,地球的能量失衡已经翻了一番,从本世纪头十年的 0.5 ± 0.2 Wm-2 增加到过去十年的 1.0 ± 0.2 Wm-2。这是因为吸收太阳辐射(ASR)增加了 0.9 ± 0.3 Wm-2,而外向长波辐射(OLR)增加了 0.4 ± 0.25 Wm-2,部分抵消了吸收太阳辐射的增加。尽管在间歇期(2000-2010 年)、向厄尔尼诺过渡时期(2010-2016 年)和后厄尔尼诺时期(2016-2022 年),吸收太阳辐射和外向长波辐射的趋势存在明显差异,但大气层顶净通量(NET)的趋势仍然保持在每十年 0.1 Wm-2 的范围内,这意味着气候变暖在稳步加速。由于微弱的 ASR 和 OLR 半球趋势差异的补偿作用,南北半球的净通量趋势一致为每十年 0.06 ± 0.31 Wm-2。我们发现,亚热带平流云和中云的大量减少以及中纬度低云和中云的减少是北半球 ASR 趋势增加的主要原因。这些变化在太平洋东部和北部尤为明显,与海面温度(SST)的大幅上升相吻合。北半球亚热带地区云量的减少和较高的 SST 导致无云地区的 OLR 显著增加,从而部分弥补了北半球 ASR 的增加。中云反射的减少和低云反射的较弱减少是南半球 ASR 增加的原因,而 OLR 变化较弱。云层变化对海温上升的响应意味着对气候变化的反馈,但也不能排除辐射强迫或内部变率的影响。
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引用次数: 0
Far-Zone Effects for Spherical Integral Transformations I: Formulas for the Radial Boundary Value Problem and its Derivatives 球面积分变换的远区效应 I:径向边界值问题及其衍生物的公式
IF 4.6 2区 地球科学 Q1 Earth and Planetary Sciences Pub Date : 2024-05-03 DOI: 10.1007/s10712-023-09818-4
Michal Šprlák, Martin Pitoňák

Integral transformations represent an important mathematical tool for gravitational field modelling. A basic assumption of integral transformations is the global data coverage, but availability of high-resolution and accurate gravitational data may be restricted. Therefore, we decompose the global integration into two parts: (1) the effect of the near zone calculated by the numerical integration of data within a spherical cap and (2) the effect of the far zone due to data beyond the spherical cap synthesised by harmonic expansions. Theoretical and numerical aspects of this decomposition have frequently been studied for isotropic integral transformations on the sphere, such as Hotine’s, Poisson’s, and Stokes’s integral formulas. In this article, we systematically review the mathematical theory of the far-zone effects for the spherical integral formulas, which transform the disturbing gravitational potential or its purely radial derivatives into observable quantities of the gravitational field, i.e. the disturbing gravitational potential and its radial, horizontal, or mixed derivatives of the first, second, or third order. These formulas are implemented in a MATLAB software and validated in a closed-loop simulation. Selected properties of the harmonic expansions are investigated by examining the behaviour of the truncation error coefficients. The mathematical formulations presented here are indispensable for practical solutions of direct or inverse problems in an accurate gravitational field modelling or when studying statistical properties of integral transformations.

积分变换是重力场建模的重要数学工具。积分变换的一个基本假设是数据覆盖全球,但高分辨率和精确引力数据的可用性可能受到限制。因此,我们将全局积分分解为两部分:(1) 通过对球冠内的数据进行数值积分计算得出的近区效应;(2) 通过谐波展开合成的球冠外数据得出的远区效应。对于球面上的各向同性积分变换,例如霍廷积分公式、泊松积分公式和斯托克斯积分公式,经常对这种分解的理论和数值方面进行研究。在本文中,我们系统地回顾了球面积分公式的远区效应数学理论,这些公式将扰动引力势或其纯径向导数转化为引力场的可观测量,即扰动引力势及其一阶、二阶或三阶径向、水平或混合导数。这些公式在 MATLAB 软件中实现,并在闭环模拟中得到验证。通过检查截断误差系数的行为,研究了谐波展开的某些特性。本文介绍的数学公式对于实际解决精确引力场建模中的直接或逆问题,或研究积分变换的统计特性都是不可或缺的。
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Surveys in Geophysics
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