Regularized Multiresolution Recovery of the Mass Density Distribution from Satellite Data of the Earth's Gravitational Field

  • The inverse problem of recovering the Earth's density distribution from satellite data of the first or second derivative of the gravitational potential at orbit height is discussed. This problem is exponentially ill-posed. In this paper a multiscale regularization technique using scaling functions and wavelets constructed for the corresponding integro-differential equations is introduced and its numerical applications are discussed. In the numerical part the second radial derivative of the gravitational potential at 200 km orbit height is calculated on a point grid out of the NASA/GSFC/NIMA Earth Geopotential Model (EGM96). Those simulated derived data out of SGG satellite measurements are taken for convolutions with the introduced scaling functions yielding a multiresolution analysis of harmonic density variations in the Earth's crust.

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Metadaten
Author:Volker Michel
URN (permanent link):urn:nbn:de:hbz:386-kluedo-12542
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (257)
Document Type:Preprint
Language of publication:English
Year of Completion:2003
Year of Publication:2003
Publishing Institute:Technische Universität Kaiserslautern
Tag:gravimetry; harmonic density; scaling functions; wavelets
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):31B20 Boundary value and inverse problems
65R30 Improperly posed problems
65T60 Wavelets
86A20 Potentials, prospecting
86A22 Inverse problems [See also 35R30]

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