Analysis of geomagnetic data using wavelet frames

• Applicant: Professor Dr. Matthias Holschneider
• Subject Area: Geophysics
• Term: from 2005 to 2010
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5444159

• Final Report Year: 2012

Final Report Abstract

We have explored the possibilities of using Poisson wavelets for the parametrization of potential fields, in particular of the Geomagnetic field. This has been applied to the regional modeling using only local expansions. In order to take into account the smoothness of the fields at sattellite level, we have devised a data reduction strategy based on local expansions into harmonic polynomials at sattellite alittude. The wavelet methods we have devolped significantly helped in preparing and analysing the data for the World Digital Magnetic Anomaly Map.

Publications

• New insights on intraplate volcanism in French Polynesia from wavelet analysis of GRACE, CHAMP and seasurface data. Journal of Geophysical Research, 111, B09403, 2006
  Panet, I., A. Chambodut, M. Diament, M. Holschneider and O. Jamet
  (See online at https://doi.org/10.1029/2005JB004141)
• Geomagnetic repeat station biases and vectorial anomaly maps for Germany. Geophys. J. Int., 170, 81 - 92, 2007
  Korte, M. and E. Thebault
  
• On long-term trends of the European geomagnetic observatory biases. Earth, Planets and Space, 59, 685 - 695, 2007
  Verbanac, G., M. Korte and M. Mandea
  
• Local model of the Beattie Magnetic Anomaly in South Africa. Tectonophysics, 478, 111-118, 2009
  Quesnel, Y., U. Weckmann, O. Ritter, J. Stankiewicz, V. Lesur, M. Mandea, B. Langlais, C. Sotin, A. Galdeano
  
• Local multi-polar expansions in potential field modelling. Earth Planets Space, 61, 1127-1141, 2009
  Minchev, B., A. Chambodut, M. Holschneider, I. Panet, E. Scholl and M. Mandea
  
• Error distribution in regional inversion of potential fields from satellite data. Geophys. J. Int. 1428-1440, 2010
  Reyko Schachtschneider, Matthias Holschneider, and Mioara Mandea