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Combining Different Types of Gravity Observations in Regional Gravity Modeling in Spherical Radial Basis Functions

  • Conference paper
VIII Hotine-Marussi Symposium on Mathematical Geodesy

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 142))

Abstract

With the increasing number of high-resolution gravity observations, which became available in the recent years, global Earth gravity models can be regionally refined. While global gravity models are usually represented in spherical harmonic basis functions with global support, a very promising option to model the regional refinements is the use of spherical radial basis functions with quasi-compact support. We use the approach of regional gravity modeling in spherical radial basis functions, with parameter estimation to determine the coefficients of the signal representation, on a test data set provided by the IAG-ICCT study group JSG0.3. We demonstrate on the data set for Europe that the approach is well-suited for different types of observations, such as terrestrial, aerial, and satellite-based measurements, as well as their combination. Furthermore, our results contribute to the study group’s goal of inter-comparison of different modeling methodologies. Our regional modeling approach leads to relative errors of about 0.2–2% when compared to the validation data sets on the topography.

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References

  • Bentel K, Schmidt M, Gerlach C (2013) Different radial basis functions and their applicability for regional gravity field representation on the sphere. Int J Geomath 4:67–96. doi:10.1007/s13137-012-0046-1

    Article  Google Scholar 

  • Drinkwater MR, Haagmans R, Muzi D, Popescu A, Floberghagen R, Kern M, Fehringer M (2007) The GOCE gravity mission: ESAÕs first core Earth explorer. In: Proceedings of 3rd international GOCE user workshop, 6–8 November, 2006, Frascati, Italy, ESA SP-627, pp 1–8

    Google Scholar 

  • Freeden W, Gervens T, Schreiner M (1998) Constructive approximation on the sphere with applications to geoscience. Oxford Science, Oxford. ISBN 019853682

    Google Scholar 

  • Holschneider M, Chambodut A, Mandea M (2003) From global to regional analysis of the magnetic field on the sphere using wavelet frames. Phys Earth Planet Inter 135(2–3):107–124. doi:10.1016/S0031-9201(02)00210-8

    Google Scholar 

  • Koch KR, Kusche J (2002) Regularization of geopotential determination from satellite data by variance components. J Geod 76:259–268. doi:10.1007/s00190-002-0245-x

    Article  Google Scholar 

  • Panet I, Kuroishi Y, Holschneider M (2012) Flexible dataset combination and modelling by domain decomposition approaches. In: Sneeuw N, Novak P, Crespi M, Sanso F (eds) VII Hotine-Marussi Symposium on Mathematical Geodesy, International Association of Geodesy Symposia, vol 137. Springer, Berlin/Heidelberg, pp 67–73. doi:10.1007/978-3-642-22078-4_10

    Chapter  Google Scholar 

  • Schmidt M, Fengler M, Mayer-Gürr T, Eicker A, Kusche J, Sánchez L, Han SC (2007) Regional gravity modeling in terms of spherical base functions. J Geod 81(1):17–38. doi:10.1007/s00190-006-0101-5

    Article  Google Scholar 

  • Tapley B, Bettadpur S, Watkins M, Reigber C (2004) The gravity recovery and climate experiment: Mission overview and early results. Geophys Res Lett 31:L09607. doi:10.1029/2004GL019920

    Article  Google Scholar 

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Acknowledgements

This study was made possible through funding by a “DAAD Doktorandenstipendium” from the German Academic Exchange Service.

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Correspondence to Katrin Bentel .

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Bentel, K., Schmidt, M. (2015). Combining Different Types of Gravity Observations in Regional Gravity Modeling in Spherical Radial Basis Functions. In: Sneeuw, N., Novák, P., Crespi, M., Sansò, F. (eds) VIII Hotine-Marussi Symposium on Mathematical Geodesy. International Association of Geodesy Symposia, vol 142. Springer, Cham. https://doi.org/10.1007/1345_2015_2

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