HR: 11:10h
AN: IN22A-04 INVITED     [Abstracts]
TI: Analysis of Hydrology Induced Gravity Variations Observed by GRACE --- and Other Applications of Spherical Wavelets
AU: * Michel, V
EM: michel@mathematik.uni-kl.de
AF: Volker Michel, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, P.O. Box 3049, Kaiserslautern, 67653 Germany
AB: A spherical wavelet analysis of monthly GRACE gravity data is presented. We observe strong correlations to gravity variations predicted by some common hydrology models, in particular in the Amazon, Zambezi and Ganges area. A time series analysis of the predicted gravity due to surface density changes in comparison to spherical wavelet coefficients of the GRACE potential demonstrates the advantages of spherical wavelets. Whereas a spherical harmonics expansion always implicitly includes a global averaging process, wavelets represent localizing basis functions that are much better able to analyze regional variations of a considered data set. Moreover, it is demonstrated that the spherical wavelet approach due to W. Freeden and U. Windheuser can be extended to a larger set of problems including the modelling of functions on balls, i.e. not only on the spherical surface. Examples of applications, such as the volume density recovery from simulated SGG gravity data (cf. planned satellite mission GOCE) are demonstrated. References: M.J. Fengler, W. Freeden, A. Kohlhaas, V. Michel, T. Peters: Wavelet Modelling of Regional and Temporal Variations of the Earth's Gravitational Potential Observed by GRACE, Schriften zur Funktionalanalysis und Geomathematik, 21 (2005), preprint, article submitted to Journal of Geodesy, 2005. V. Michel: Regularized Wavelet--based Multiresolution Recovery of the Harmonic Mass Density Distribution from Data of the Earth's Gravitational Field at Satellite Height, Inverse Problems, 21 (2005), 997-1025.
UR: http://www-user.rhrk.uni-kl.de/~vmichel
DE: 1217 Time variable gravity (7223, 7230)
DE: 1219 Gravity anomalies and Earth structure (0920, 7205, 7240)
DE: 1240 Satellite geodesy: results (6929, 7215, 7230, 7240)
DE: 1899 General or miscellaneous
DE: 3280 Wavelet transform (3255, 4455)
SC: Earth and Space Science Informatics [IN]
MN: Fall Meeting 2005