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  • 1
    Monograph available for loan
    Monograph available for loan
    Oxford : Clarendon Press
    Call number: M 96.0280
    Type of Medium: Monograph available for loan
    Pages: XIII, 423 S.
    ISBN: 0198534817
    Series Statement: Oxford mathematical monographs
    Classification:
    C.1.6.
    Language: English
    Location: Upper compact magazine
    Branch Library: GFZ Library
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  • 2
    Publication Date: 2012-04-20
    Description: SUMMARY In the eighties, the analysis of satellite altimetry data leads to the major discovery of gravity lineations in the oceans, with wavelengths between 200 and 1400 km. While the existence of the 200 km scale undulations is widely accepted, undulations at scales larger than 400 km are still a matter of debate. In this paper, we revisit the topic of the large-scale geoid undulations over the oceans in the light of the satellite gravity data provided by the GRACE mission, considerably more precise than the altimetry data at wavelengths larger than 400 km. First, we develop a dedicated method of directional Poisson wavelet analysis on the sphere with significance testing, in order to detect and characterize directional structures in geophysical data on the sphere at different spatial scales. This method is particularly well suited for potential field analysis. We validate it on a series of synthetic tests, and then apply it to analyze recent gravity models, as well as a bathymetry data set independent from gravity. Our analysis confirms the existence of gravity undulations at large scale in the oceans, with characteristic scales between 600 and 2000 km. Their direction correlates well with present-day plate motion over the Pacific ocean, where they are particularly clear, and associated with a conjugate direction at 1500 km scale. A major finding is that the 2000 km scale geoid undulations dominate and had never been so clearly observed previously. This is due to the great precision of GRACE data at those wavelengths. Given the large scale of these undulations, they are most likely related to mantle processes. Taking into account observations and models from other geophysical information, as seismological tomography, convection and geochemical models and electrical conductivity in the mantle, we conceive that all these inputs indicate a directional fabric of the mantle flows at depth, reflecting how the history of subduction influences the organization of lower mantle upwellings.
    Print ISSN: 0956-540X
    Electronic ISSN: 1365-246X
    Topics: Geosciences
    Published by Oxford University Press on behalf of The Deutsche Geophysikalische Gesellschaft (DGG) and the Royal Astronomical Society (RAS).
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  • 3
    Publication Date: 2012-10-27
    Description: SUMMARY In this study we analyse the error distribution in regional models of the geomagnetic field. Our main focus is to investigate the distribution of errors when combining two regional patches to obtain a global field from regional ones. To simulate errors in overlapping patches we choose two different data region shapes that resemble that scenario. First, we investigate the errors in elliptical regions and secondly we choose a region obtained from two overlapping circular spherical caps. We conduct a Monte-Carlo simulation using synthetic data to obtain the expected mean errors. For the elliptical regions the results are similar to the ones obtained for circular spherical caps: the maximum error at the boundary decreases towards the centre of the region. A new result emerges as errors at the boundary vary with azimuth, being largest in the major axis direction and minimal in the minor axis direction. Inside the region there is an error decay towards a minimum at the centre at a rate similar to the one in circular regions. In the case of two combined circular regions there is also an error decay from the boundary towards the centre. The minimum error occurs at the centre of the combined regions. The maximum error at the boundary occurs on the line containing the two cap centres, the minimum in the perpendicular direction where the two circular cap boundaries meet. The large errors at the boundary are eliminated by combining regional patches. We propose an algorithm for finding the boundary region that is applicable to irregularly shaped model regions.
    Print ISSN: 0956-540X
    Electronic ISSN: 1365-246X
    Topics: Geosciences
    Published by Oxford University Press on behalf of The Deutsche Geophysikalische Gesellschaft (DGG) and the Royal Astronomical Society (RAS).
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  • 4
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    In:  Geophys. Res. Lett., Tokyo, Railway Tech. Res. Inst., vol. 32, no. 22, pp. 22-1 to 22-4, pp. L22312, (ISSN: 1340-4202)
    Publication Date: 2005
    Keywords: Aftershocks ; Seismicity ; Fault zone ; SAF ; USA ; Statistical investigations ; Fracture ; FractureT ; GRL ; 7230 ; Seismology: ; Seismicity ; and ; tectonics ; (1207, ; 1217, ; 1240, ; 1242) ; 7223 ; Earthquake ; interaction, ; forecasting, ; and ; prediction ; (1217, ; 1242) ; 8123 ; Tectonophysics: ; Dynamics: ; seismotectonics
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  • 5
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    In:  Geophys. J. Int., Tokyo, Railway Tech. Res. Inst., vol. 141, no. 1, pp. 115-135, pp. L12304, (ISSN: 1340-4202)
    Publication Date: 2000
    Keywords: Modelling ; SOC ; Inhomogeneity ; Seismicity ; Aftershocks ; Statistical investigations ; GJI ; Mouel ; Allegre
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  • 6
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    In:  Geophys. Res. Lett., Stockholm, 3-4, vol. 32, no. 3, pp. 245-263, pp. L03308, (ISSN: 1340-4202)
    Publication Date: 2005
    Description: We show that realistic aftershock sequences with space-time characteristics compatible with observations are generated by a model consisting of brittle fault segments separated by creeping zones. The dynamics of the brittle regions is governed by static/kinetic friction, 3D elastic stress transfer and small to moderate creep deformation compatible with laboratory experiments. The creeping parts are characterized by high ongoing creep velocities. These regions store stress during earthquake failures and then release it in the interseismic periods. The resulting postseismic deformation leads to aftershock sequences following the modified Omori law. The ratio of creep coefficients in the brittle and creeping sections determines the duration of the postseismic transients and the exponent p of the modified Omori law.
    Keywords: Aftershocks ; Omori ; Creep observations and analysis ; Friction ; Rheology ; Inhomogeneity ; Earthquake precursor: prediction research ; Seismicity ; Zoeller ; Zoller ; GRL ; 209 ; Seismology: ; Earthquake ; dynamics ; (1242) ; 7223 ; Earthquake ; interaction, ; forecasting, ; and ; prediction ; (1217, ; 1242) ; 7230 ; Seismicity ; and ; tectonics ; (1207, ; 1217, ; 1240, ; 1242) ; 7260 ; Theory ; 7290 ; Computational ; seismology
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  • 7
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    In:  Geophys. Res. Lett., Tokyo, Railway Tech. Res. Inst., vol. 30, no. 11, pp. 22-1 to 22-4, pp. 1568, (ISSN: 1340-4202)
    Publication Date: 2003
    Keywords: Chaotic behaviour ; FractureT ; Gutenberg-Richter magnitude frequency b-value ; Seismicity ; Modelling ; GRL ; Zoeller ; Zoller ; 7260 ; Theory ; and ; modeling ; 3299 ; Mathematical ; Geophysics: ; General ; or ; miscellaneous ; 7230 ; Seismology: ; Seismicity ; and ; seismotectonics
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  • 8
    Publication Date: 2014-01-22
    Description: [1]  We explore the concept of maximum possible earthquake magnitude, M , in a region represented by an earthquake catalog from the viewpoint of statistical testing. For this aim, we assume that earthquake magnitudes are independent events that follow a doubly-truncated Gutenberg-Richter distribution and focus on the upper truncation M . In earlier work, it has been shown that the value of M cannot be well constrained from earthquake catalogs alone. However, for two hypothesized values M and M ′, alternative statistical tests may address the question: Which value is more consistent with the data? In other words: Is it possible to reject a magnitude within reasonable errors, i.e. the error of the first and the error of the second kind? The results for realistic settings indicate that either the error of the first kind or the error of the second kind is intolerably large. We conclude that it is essentially impossible to infer M in terms of alternative testing with sufficient confidence from an earthquake catalog alone, even in regions like Japan with excellent data availability. These findings are also valid for frequency-magnitude distributions with different tail behavior, e.g. exponential tapering. Finally, we emphasize that different data may only be useful to provide additional constraints for M , if they do not correlate with the earthquake catalog, i.e. if they have not been recorded in the same observational period. In particular, longterm geological assessments might be suitable to reduce the errors, while GPS measurements provide overall the same information as the catalogs.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 9
    Publication Date: 2014-07-26
    Description: The Magnetosphere – Ionosphere – Thermosphere (MIT) dynamic system significantly depends on the highly variable solar wind conditions, in particular on changes of the strength and orientation of the Interplanetary Magnetic Field (IMF). The solar wind and IMF interactions with the magnetosphere drive the MIT system via the magnetospheric Field Aligned Currents (FACs). The global modeling helps us to understand the physical background of this complex system. With the present study we test the recently developed high resolution empirical FAC model MFACE. These FAC distributions were used as input of the time-dependent, fully self-consistent global Upper Atmosphere Model (UAM) for different seasons and various solar wind and IMF conditions. The modeling results for neutral mass density and thermospheric wind are directly compared with the CHAMP satellite measurements. In addition, we perform comparisons with the global empirical models: the thermospheric wind model (HWM07) and the atmosphere density model (NRLMSISE00). The theoretical model shows a good agreement with the satellite observations and an improved behaviour compared with the empirical models at high latitudes. Using the MFACE model as input parameter of the UAM model, we obtain a realistic distribution of the upper atmosphere parameters for the Northern and Southern Hemispheres during stable IMF orientation as well as during dynamic situations. This variant of the UAM can therefore be used for modeling the MIT system and space weather predictions.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 10
    Publication Date: 2012-06-30
    Description: In order to examine variations in aftershock decay rate, we propose a Bayesian framework to estimate the {K, c, p}-values of the modified Omori law (MOL), λ(t) = K(c + t)−p. The Bayesian setting allows not only to produce a point estimator of these three parameters but also to assess their uncertainties and posterior dependencies with respect to the observed aftershock sequences. Using a new parametrization of the MOL, we identify the trade-off between the c and p-value estimates and discuss its dependence on the number of aftershocks. Then, we analyze the influence of the catalog completeness interval [tstart, tstop] on the various estimates. To test this Bayesian approach on natural aftershock sequences, we use two independent and non-overlapping aftershock catalogs of the same earthquakes in Japan. Taking into account the posterior uncertainties, we show that both the handpicked (short times) and the instrumental (long times) catalogs predict the same ranges of parameter values. We therefore conclude that the same MOL may be valid over short and long times.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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