{"title":"Evaluation Procedures for the Potential Harmonic Coefficients of a Generally Shaped Polyhedron","authors":"Georgia Gavriilidou, Dimitrios Tsoulis","doi":"10.1007/s10712-023-09802-y","DOIUrl":"10.1007/s10712-023-09802-y","url":null,"abstract":"<div><p>Two computational strategies for the evaluation of the spherical harmonic coefficients of the gravitational potential due to a generally shaped homogeneous polyhedral source are examined in detail. The techniques are implemented numerically for the known asteroid shape models of Eros and Didymos. The aim of the investigation is to quantify specific numerical aspects of the two algorithms, such as the accuracy of the techniques compared to a closed analytical solution for varying distance between source and computation point, the band-limited spectral analysis of the obtained spherical harmonic models and the convergence behavior of the corresponding series expansion in the vicinity of the characteristic Brillouin sphere. From a computational point of view, the line integral approach demands approximately three times the CPU time of Werner’s method. The two sets of spherical harmonic coefficients are 100% correlated up to degree 45 for Eros and up to degree 49 for Didymos. Approaching degree 100, the correlation by degree decreases by 0.0004% for Eros and by 0.004% for Didymos, the corresponding values for the correlation by order being 0.0002% and 0.304%. Inside the Brillouin sphere and approaching its boundary, the numerical agreement of the gravitational potential between the line integral method and the analytical solution is at the 1E-4 level, while with Werner’s approach at the 1E-7 level. At a distance of 33.5 km outside the Brillouin sphere for Eros and 2.2 km for Didymos, both methods are identical, reaching an agreement level with the analytical solution of 1E-11 level for Eros and 1E-14 for Didymos. In terms of spherical harmonic representation, the series defined by the line integral approach converges faster to the analytical value for the gravitational potential by 4 degrees.</p></div>","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"45 2","pages":"315 - 348"},"PeriodicalIF":4.9,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49616698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"PC Index as a Ground-Based Indicator of the Solar Wind Energy Incoming into the Magnetosphere: (2) Relation of PC Index to Magnetic Disturbances","authors":"O. A. Troshichev","doi":"10.1007/s10712-023-09799-4","DOIUrl":"10.1007/s10712-023-09799-4","url":null,"abstract":"<div><p>The paper summarizes the issues related to relationships between the <i>PC</i> index and magnetic disturbances: threshold level of the <i>PC</i> index required for the disturbances beginning, delay time in response of magnetic substorms and storms to the <i>PC</i> index growth, relation of <i>PC</i> index to magnetospheric field-aligned currents in course of substorm, different types of magnetic substorms (isolated, expanded, delayed, sawtooth) and magnetic storms (classic, pulsed and composite) and their relation to different regularities in the <i>PC</i> index alterations, linear dependence of the substorm and storm intensities on value of the preceding of <i>PC</i> index, special features of magnetic activity in the winter and summer polar caps, variations of <i>PC</i> index and magnetic disturbances in course of the 23/24 solar activity cycles. New aspects that have arisen due to the <i>PC</i> index application are concerned with the threshold-dependent mode of the substorm development and regular repeateness of sawtooth substorms occurring under conditions of steady powerful <i>E</i><sub><i>KL</i></sub> field. The experimental results examined in the paper are indicative that the <i>PC</i> index serves as an indicator of the solar wind energy which comes in the magnetosphere and then realizes in the form of magnetosphere disturbances. This paper follows the review of Troshichev (Front Astron Space Sci 9:1069470, 2022), where the relationships between the solar wind electric field <i>E</i><sub><i>KL</i></sub> and <i>PC</i> index have been examined.</p></div>","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"45 1","pages":"55 - 82"},"PeriodicalIF":4.9,"publicationDate":"2023-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44062251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gregory C. Johnson, Felix W. Landerer, Norman G. Loeb, John M. Lyman, Michael Mayer, Abigail L. S. Swann, Jinlun Zhang
{"title":"Closure of Earth’s Global Seasonal Cycle of Energy Storage","authors":"Gregory C. Johnson, Felix W. Landerer, Norman G. Loeb, John M. Lyman, Michael Mayer, Abigail L. S. Swann, Jinlun Zhang","doi":"10.1007/s10712-023-09797-6","DOIUrl":"10.1007/s10712-023-09797-6","url":null,"abstract":"<div><p>The global seasonal cycle of energy in Earth’s climate system is quantified using observations and reanalyses. After removing long-term trends, net energy entering and exiting the climate system at the top of the atmosphere (TOA) should agree with the sum of energy entering and exiting the ocean, atmosphere, land, and ice over the course of an average year. Achieving such a balanced budget with observations has been challenging. Disagreements have been attributed previously to sparse observations in the high-latitude oceans. However, limiting the local vertical integration of new global ocean heat content estimates to the depth to which seasonal heat energy is stored, rather than integrating to 2000 m everywhere as done previously, allows closure of the global seasonal energy budget within statistical uncertainties. The seasonal cycle of energy storage is largest in the ocean, peaking in April because ocean area is largest in the Southern Hemisphere and the ocean’s thermal inertia causes a lag with respect to the austral summer solstice. Seasonal cycles in energy storage in the atmosphere and land are smaller, but peak in July and September, respectively, because there is more land in the Northern Hemisphere, and the land has more thermal inertia than the atmosphere. Global seasonal energy storage by ice is small, so the atmosphere and land partially offset ocean energy storage in the global integral, with their sum matching time-integrated net global TOA energy fluxes over the seasonal cycle within uncertainties, and both peaking in April.</p></div>","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"45 6","pages":"1785 - 1797"},"PeriodicalIF":4.9,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10712-023-09797-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44575564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Electromagnetic Modeling Using Adaptive Grids – Error Estimation and Geometry Representation","authors":"Klaus Spitzer","doi":"10.1007/s10712-023-09794-9","DOIUrl":"10.1007/s10712-023-09794-9","url":null,"abstract":"<div><p>This review paper addresses the development of numerical modeling of electromagnetic fields in geophysics with a focus on recent finite element simulation. It discusses ways of estimating errors of our solutions for a perfectly matched modeling domain and the problems that arise from its insufficient representation. After a brief outline of early methods and modeling approaches, the paper mainly discusses the capabilities of the finite element method formulated on unstructured grids and the advantages of local h-refinement allowing for both a flexible and largely accurate representation of the geometries of the multi-scale geomaterial and an accurate evaluation of the underlying functions representing the physical fields. In summary, the accuracy of the solution depends on the geometric mapping, the choice of the mathematical model, and the spatial discretization. Although the available error estimators do not necessarily provide reliable error bounds for our complex geomodels, they are still useful to guide grid refinement. Therefore, an overview of the most common a posteriori error estimators is given. It will be shown that the sensitivity is the most important function in both guiding the geometric mapping and the local refinement.</p></div>","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"45 1","pages":"277 - 314"},"PeriodicalIF":4.9,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10712-023-09794-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52328743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Inès N. Otosaka, M. Horwath, R. Mottram, S. Nowicki
{"title":"Mass Balances of the Antarctic and Greenland Ice Sheets Monitored from Space","authors":"Inès N. Otosaka, M. Horwath, R. Mottram, S. Nowicki","doi":"10.1007/s10712-023-09795-8","DOIUrl":"https://doi.org/10.1007/s10712-023-09795-8","url":null,"abstract":"","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"44 1","pages":"1615 - 1652"},"PeriodicalIF":4.6,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44268683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pauline A. Dibi-Anoh, Moussa Koné, Helena Gerdener, Jürgen Kusche, Christophe K. N’Da
{"title":"Correction: Hydrometeorological Extreme Events in West Africa: Droughts","authors":"Pauline A. Dibi-Anoh, Moussa Koné, Helena Gerdener, Jürgen Kusche, Christophe K. N’Da","doi":"10.1007/s10712-023-09796-7","DOIUrl":"10.1007/s10712-023-09796-7","url":null,"abstract":"","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"44 6","pages":"2043 - 2044"},"PeriodicalIF":4.6,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48294102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Theories of Growth and Propagation of Parallel Whistler-Mode Chorus Emissions: A Review","authors":"Miroslav Hanzelka, Ondřej Santolík","doi":"10.1007/s10712-023-09792-x","DOIUrl":"10.1007/s10712-023-09792-x","url":null,"abstract":"<div><p>The significant role of nonlinear wave–particle interactions in the macrodynamics and microdynamics of the Earth’s outer radiation belt has long been recognised. Electron dropouts during magnetic storms, microbursts in atmospheric electron precipitation, and pulsating auroras are all associated with the rapid scattering of energetic electrons by the whistler-mode chorus, a structured electromagnetic emission known to reach amplitudes of about <span>(1%)</span> of the ambient magnetic field. Despite the decades of experimental and theoretical investigations of chorus and the recent progress achieved through numerical simulations, there is no definitive theory of the chorus formation mechanism, not even in the simple case of parallel (one-dimensional) propagation. Here we follow the evolution of these theories from their beginnings in the 1960s to the current state, including newly emerging self-consistent excitation models. A critical review of the unique features of each approach is provided, taking into account the most recent spacecraft observations of the fine structure of chorus. Conflicting interpretations of the role of resonant electron current and magnetic field inhomogeneity are discussed. We also discuss the interplay between nonlinear growth and microscale propagation effects and identify future theoretical and observational challenges stemming from the two-dimensional aspects of chorus propagation.</p></div>","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"45 1","pages":"1 - 54"},"PeriodicalIF":4.9,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10712-023-09792-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45041323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yihao Wu, Jiangtao Han, Guoqing Ma, Yunhe Liu, Fuxing Han, Lijia Liu, Lei Guo, Ye Guan, Yinghui Zhang
{"title":"The Magma Emplacement of a Composite Volcanic-Intrusive System and Its Mineralization","authors":"Yihao Wu, Jiangtao Han, Guoqing Ma, Yunhe Liu, Fuxing Han, Lijia Liu, Lei Guo, Ye Guan, Yinghui Zhang","doi":"10.1007/s10712-023-09793-w","DOIUrl":"10.1007/s10712-023-09793-w","url":null,"abstract":"<div><p>Magma emplacement can restrict the nature and distribution of an ore deposit, and is an important topic for the study of mineralization mechanisms. Previous studies of magma emplacement have focused mainly on the superimposed mineralization of multi-stage magma in time, whereas the superimposed characteristics and mineralization of different magma emplacement in space are unclear. We estimate a 3-D multiple geophysical model in the Shuangjianzishan Ag–Pb–Zn district, northeastern China, using gravity, magnetic, magnetotelluric and seismic data. The model describes the distribution of buried magmatic rocks related to mineralization in the ore district and highlights the detailed structure and connection of volcanism and intrusion. The volcanism is characterized by a tree-like structure consisting of a near-conical channel and an annular fault system; the intrusion appears as a dome-shaped structure, and its lateral distribution is controlled by faults. The geophysical results reveal a deep fault system connecting volcanism and intrusion. Combining the results with regional geology, petrophysical properties and borehole information, we propose a composite metallogenic model for the ore district, which is that the volcanism caused the ore-bearing magma to migrate to the present-day location of the base of the ore deposit through the deep fault system, and formed an intrusive complex with the ore-bearing magma emplaced in a dome below the present-day location of the deposit. This resulted in the formation of complex and fault-controlled ore bodies. Reviewing the global metallogenic characteristics related to magmatism, our results demonstrate the magma emplacement pattern of a composite volcanic-intrusive system may be an important factor for the formation of super-large deposits.</p></div>","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"45 1","pages":"83 - 115"},"PeriodicalIF":4.9,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42068863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Towards Millimeter-Level Accuracy in GNSS-Based Space Geodesy: A Review of Error Budget for GNSS Precise Point Positioning","authors":"Xianjie Li, Jean-Pierre Barriot, Yidong Lou, Weixing Zhang, Pengbo Li, Chuang Shi","doi":"10.1007/s10712-023-09785-w","DOIUrl":"10.1007/s10712-023-09785-w","url":null,"abstract":"<div><p>The aim of the new generation of Global Geodetic Observing System is a millimeter-level accuracy in positioning, with a crucial role to be played by Global Navigation Satellites Systems (GNSS) in the Precise Point Positioning (PPP) mode. This is of course because GNSS constellations and receivers provide an efficient stand-alone technique with a homogeneous performance over large areas (positions, navigation and meteorology) when used in conjunction with the PPP mode, with also an ever-increasing data flow and different satellite line-of-sights. The requirement of accuracies reaching the millimeter or sub-millimeter implies a knowledge at this level of each line in the GNSS-PPP error budget, including, but not restricted to: clock biases, troposphere and ionosphere delays, multipath and ground deformations. In this review study, we consider this millimeter-/submillimeter level GNSS-PPP error budget, and possible mitigations and improvements in the frame of the existing global constellations: GPS, Galileo, GLONASS and BDS, in view of augmented constellations and/or Low Earth Orbit constellations, which will be available in the near future. We also pay a special attention to systematic biases that can/could exist between constellations.</p></div>","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"44 6","pages":"1691 - 1780"},"PeriodicalIF":4.6,"publicationDate":"2023-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52328731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jozef Bódi, Peter Vajda, Antonio G. Camacho, Juraj Papčo, José Fernández
{"title":"On Gravimetric Detection of Thin Elongated Sources Using the Growth Inversion Approach","authors":"Jozef Bódi, Peter Vajda, Antonio G. Camacho, Juraj Papčo, José Fernández","doi":"10.1007/s10712-023-09790-z","DOIUrl":"10.1007/s10712-023-09790-z","url":null,"abstract":"<div><p>Thin elongated sources, such as dykes, sills, chimneys, inclined sheets, etc., often encountered in volcano gravimetric studies, pose great challenges to gravity inversion methods based on model exploration and growing sources bodies. The Growth inversion approach tested here is based on partitioning the subsurface into right-rectangular cells and populating the cells with differential densities in an iterative weighted mixed adjustment process, in which the minimization of the data misfit is balanced by forcing the growing subsurface density distribution into compact source bodies. How the Growth inversion can cope with thin elongated sources is the subject of our study. We use synthetic spatiotemporal gravity changes caused by simulated sources placed in three real volcanic settings. Our case studies demonstrate the benefits and limitations of the Growth inversion as applied to sparse and noisy gravity change data generated by thin elongated sources. Such sources cannot be reproduced by Growth accurately. They are imaged with smaller density contrasts, as much thicker, with exaggerated volume. Despite this drawback, the Growth inversion can provide useful information on several source parameters even for thin elongated sources, such as the position (including depth), the orientation, the length, and the mass, which is a key factor in volcano gravimetry. Since the density contrast of a source is not determined by the inversion, but preset by the user to run the inversion process, it cannot be used to specify the nature of the source process. The interpretation must be assisted by external constraints such as structural or tectonic controls, or volcanological context. Synthetic modeling and Growth inversions, such as those presented here, can serve also for optimizing the volcano monitoring gravimetric network design. We conclude that the Growth inversion methodology may, in principle, prove useful even for the detection of thin elongated sources of high density contrast by providing useful information on their position, shape (except for thickness) and mass, despite the strong ambiguity in determining their differential density and volume. However, this yielded information may be severely compromised in reality by the sparsity and noise of the interpreted gravity data.</p></div>","PeriodicalId":49458,"journal":{"name":"Surveys in Geophysics","volume":"44 6","pages":"1811 - 1835"},"PeriodicalIF":4.6,"publicationDate":"2023-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44700663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}