Physics
Scientific paper
Dec 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005agufmin23a1203j&link_type=abstract
American Geophysical Union, Fall Meeting 2005, abstract #IN23A-1203
Physics
1214 Geopotential Theory And Determination (0903), 1219 Gravity Anomalies And Earth Structure (0920, 7205, 7240), 1541 Satellite Magnetics: Main Field, Crustal Field, External Field, 3037 Oceanic Hotspots And Intraplate Volcanism, 3280 Wavelet Transform (3255, 4455)
Scientific paper
Modelling and analyzing geopotential fields is an efficient way to study the properties of planets interiors and changes of their near environment. As soon as large areas are considered, one has to work on a sphere. For instance, when dealing with satellite data, sphericity has to be taken into account, especially for small planets or satellites like Mars or the Moon. The spherical harmonics expansion is thus widely used, but drawbacks appear as soon as the data distribution is not regular or if the modelled area does not cover the whole sphere. To overcome these drawbacks, we developed a wavelet-based representation of potential fields on the sphere. We chose to use the Poisson multipole wavelets (Holschneider et al. , 2003) which allow fast calculations. The discrete wavelet model is computed by a regularized least-square inversion. We tested different regularizations for gravity and magnetic field modelling. We compute the wavelet model following an iterative procedure. We first compute the large-scale components, and then progressively refine the model in an area of interest through an iterative procedure. We validated our method on synthetic tests (Chambodut et al., 2005) and as an example, we derive new gravity and magnetic models in the South Central Pacific area, based on satellite gravity and magnetic data. Moreover, we show that thanks to the properties of the Poisson multipole wavelets, a continuous analysis of the models can easily be derived and related to the internal densities/magnetization distribution. Such an analysis is very useful to underline geophysical features in the fields at varying spatial scales. It allowed us to highlight new structures in the fields, bringing thus new constraints for the understanding of the geodynamic evolution of the considered area.
Chambodut Aude
Diament Michel
Holschneider Matthias
Jamet O.
Panet Isabelle
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