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  • 1
    Call number: 6/M 05.0196 ; 6/M 05.0196/2.Ex.
    In: International Association of Geodesy symposia
    Type of Medium: Monograph available for loan
    Pages: XVIII, 620 S.
    ISBN: 3540240551
    Series Statement: International Association of Geodesy symposia 128
    Classification:
    Geodesy
    Location: Reading room
    Location: Reading room
    Branch Library: GFZ Library
    Branch Library: GFZ Library
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  • 2
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical prospecting 40 (1992), S. 0 
    ISSN: 1365-2478
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences , Physics
    Notes: Gravity data inversion can provide valuable information on the structure of the underlying distribution of mass.The solution of the inversion of gravity data is an ill-posed problem, and many methods have been proposed for solving it using various systematic techniques.The method proposed here is a new approach based on the collocation principle, derived from the Wiener filtering and prediction theory.The natural multiplicity of the solution of the inverse gravimetric problem can be overcome only by assuming a substantially simplified model, in this case a two-layer model, i.e. with one separation surface and one density contrast only. The presence of gravity disturbance and/or outliers in the upper layer is also taken into account.The basic idea of the method is to propagate the covariance structure of the depth function of the separation surface to the covariance structure of the gravity field measured on a reference plane.This can be done since the gravity field produced by the layers is a functional (linearized) of the depth.Furthermore, in this approach, it is possible to obtain the variance of the estimation error which indicates the precision of the computed solution.The method has proved to be effective on simulated data, fulfilling the a priori hypotheses.In real cases which display the required statistical homogeneity, good preliminary solutions, useful for a further quantitative interpretation, have also been derived.A case study is discussed.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Advances in Space Research 11 (1991), S. 79-83 
    ISSN: 0273-1177
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Surveys in geophysics 14 (1993), S. 395-402 
    ISSN: 1573-0956
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract The calculus of spherical harmonic representation of fields of geodetic interest is often performed by applying integral formulas to block-averaged quantities. Due to the dependence of the block areas on latitude, it is difficult to perform a rigorous computation; in this paper the effects of approximations related to the loss of orthogonality in the discretization and averaging procedures are numerically studied; a simple numerical approach to improve the efficiency of the estimates is presented.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of geodesy 73 (1999), S. 555-567 
    ISSN: 1432-1394
    Keywords: Key words. Positive definite functions ; Harmonic covariance functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying
    Notes: Abstract. Three methods to construct positive definite functions with compact support for the approximation of general geophysical harmonic covariance functions are presented. The theoretical background is given and simulations carried out, for three types of covariance functions associated with the determination of the anomalous gravity potential from gravity anomalies. The results are compared with those of the finite covariance function of Sansò and Schuh (1987).
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of geodesy 73 (1999), S. 427-435 
    ISSN: 1432-1394
    Keywords: Key words. Scalar geodetic boundary problem angular ; potential coordinates intermadiate Schauder estimates
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying
    Notes: Abstract. A new local existence and uniqueness theorem is obtained for the scalar geodetic boundary-value problem in spherical coordinates. The regularities H α and H 1+α are assumed for the boundary data g (gravity) and v (gravitational potential) respectively.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of geodesy 73 (1999), S. 436-447 
    ISSN: 1432-1394
    Keywords: Key words. Slepian ; Polar gap ; Spherical harmonics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying
    Notes: Abstract. The Slepian problem consists of determining a sequence of functions that constitute an orthonormal basis of a subset of ℝ (or ℝ2) concentrating the maximum information in the subspace of square integrable functions with a band-limited spectrum. The same problem can be stated and solved on the sphere. The relation between the new basis and the ordinary spherical harmonic basis can be explicitly written and numerically studied. The new base functions are orthogonal on both the subspace and the whole sphere. Numerical tests show the applicability of the Slepian approach with regard to solvability and stability in the case of polar data gaps, even in the presence of aliasing. This tool turns out to be a natural solution to the polar gap problem in satellite geodesy. It enables capture of the maximum amount of information from non-polar gravity field missions.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Surveys in geophysics 14 (1993), S. 339-371 
    ISSN: 1573-0956
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract This paper deals with the basic definitions and the numerical techniques used nowaday in the estimation of the gradiometric geoid. After a first introductory paragraph, the so-called 3-steps remove/restore method is presented. The computation and the use of global models is analysed in Section 2; the computation of topographic corrections, with particular care to the residual terrain correction, is presented in Section 3; the central solution or estimation of the anomalous potential either by solving a Molodensky's problem, or by applying the collocation theory, is examined in Section 4; the restore step is finally presented in Section 5.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Surveys in geophysics 14 (1993), S. 461-475 
    ISSN: 1573-0956
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract This paper deals with spectral techniques applied to geodetic problems. The solutions of the Inverse Stokes problem and of the Overdetermined Boundary Value Problem have been obtained applying The Wiener principle directly in the spectral domain. The resulting estimator for the Inverse Stokes problem is a low pass filter which is tuned by the covariance structure of the data while the one solving the Overdetermined Boundary Value Problem is nearly a weighted mean of the two spectra of the boundary data. Numerical examples on simulated data have been carried out to test the derived estimators.
    Type of Medium: Electronic Resource
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  • 10
    Publication Date: 2013-09-10
    Description: The discontinuity surface between Earth crust and mantle, the so-called Moho, is commonly estimated by means of seismic or gravimetric methods. Usually these methods do not yield the same result since they are based on different geological and geophysical hypotheses, as well as different data types, also in terms of quality and spatial distribution. In particular, global crust models based only on seismic data (e.g. the CRUST2.0 model) can be locally very accurate since seismic profiles give an almost direct observation of the actual crust structure, but can be quite uninformative in large regions where no data are available or they are too inhomogeneous. On the contrary, when using satellite gravity observations like those provided by the ESA mission GOCE, information on the Moho can be inferred from a uniform and global data set. However, Moho models estimated by gravity data are in general characterized by simplified hypotheses to guarantee the uniqueness of the solution of the inverse gravitational problem. The aim of this work is to attenuate these drawbacks by combining the seismic global model CRUST2.0 with gravity observations from the GOCE satellite mission. More specifically, the used GOCE data are grid values at mean satellite altitude estimated by the so-called space-wise approach. After reducing the data to a two-layer model by removing the effect of topography, bathymetry and sediments, a combined inversion driven by a priori information on the CRUST2.0 accuracy and by the error covariance structure of the GOCE grids is performed. In addition, the observation errors as well as the error due to the data reduction are tentatively taken into account to estimate the accuracy of the final Moho model. The result is an update of the CRUST2.0 Moho model with a 0.5°  x 0.5° resolution, which at the same time contains seismic and geological information and it is consistent, at 20 mE level, to the actually observed gravity field. A first comparison with the CRUST2.0 Moho shows that in the continental crust the mean difference between the two models is of the order of 1.5 km with standard deviations depending on the considered region. As expected, the main variations (standard deviation of the order of 7 km) are located in South America, Africa and Antarctica where very few data in the CRUST2.0 were originally used. In the rest of the world, differences have a standard deviation of about 4 km. As for the oceanic crust, it can be noted that the corrections to the CRUST2.0 model are of the order of 3 km (mean value) with a standard deviation of 6 km. Finally, the solution computed in this paper has been compared with a set of Moho models at different scales from global to local ones showing that it is reasonably consistent (differences of about 5 km standard deviation) also with seismic observations.
    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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