Abstract
GFZ as part of the GRACE Science Data System (SDS) is routinely processing time-variable global gravity field models on monthly and weekly basis throughout the whole GRACE mission period. These operational products consist of spherical harmonic coefficients which are calculated based on the so-called dynamic method, i.e. integration of variational equations. As a matter of fact, these coefficients are imperfect due to different error sources such as inaccurate background models, instrument noise and inhomogeneous sampling and thus have to be filtered during post-processing in an appropriate way. Nevertheless, the current release named GFZ RL05 shows significant improvements compared to its precursors with an average error level of only about a factor of 6 above the pre-launch estimated baseline accuracy.
Additionally, an alternative approach using radial basis functions is developed at GFZ. This approach is based on the inversion of integral equations using gradient differences as in-situ observations. The resulting gravity field products can be directly derived as gridded data making this approach also suitable for regional applications. No post-filtering is necessary, as regularization is already applied during system inversion. Additionally applying a Kalman filter, higher temporal resolution can be achieved.
This paper gives a brief overview of the methodology of both approaches and their particular strengths and weaknesses are discussed. Results from GFZ RL05 and the latest results of the radial basis function approach are compared and also validated against independent data sources.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bettadpur S (2012) UTCSR level-2 processing standards document (for level-2 product release 0005). GRACE document 327–742. ftp://podaac.jpl.nasa.gov/allData/grace/docs/. Accessed 31 July 2013
Bruinsma SL, Lemoine J-M, Biancale R, Valès N (2010) CNES/GRGS 10-day gravity field models (release 02) and their evaluation. Adv Space Res 45:587–601. doi:10.1016/j.asr.2009.10.012
Dahle C, Flechtner F, Gruber C, König D, König R, Michalak G, Neumayer KH (2012) GFZ GRACE level-2 processing standards document for level-2 product release 0005. Scientific Technical Report STR12/02 - Data, Revised Edition, January 2013, Potsdam, 21 p. doi:10.2312/GFZ.b103-1202-25
Dahle C, Flechtner F, Gruber C, König D, König R, Michalak G, Neumayer KH (2014) GFZ RL05: An Improved Time-Series of Monthly GRACE Gravity Field Solutions. In: Flechtner F et al (eds) Observation of the system earth from space – CHAMP, GRACE, GOCE and Future Missions, Advanced Technologies in Earth Sciences. Springer, Berlin/Heidelberg. doi:10.1007/978-3-642-32135-1_4
Döll P, Kaspar F, Lehner B (2003) A global hydrological model for deriving water availability indicators: model tuning and validation. J Hydrol 270:105–134. doi:10.1016/S0022-1694(02)00283-4
Flechtner F, Dobslaw H, Fagiolini E (2014) AOD1B Product Description Document for Product Releases 05 (Rev. 4.2). GRACE Document 327–750
Gruber C, Moon Y, Flechtner F, Dahle C, Novák P, König R, Neumayer KH (2014) Submonthly GRACE Solutions from Localizing Integral Equations and Kalman Filtering. In: Rizos C and Willis P (eds) Earth on the edge: science for a sustainable planet, international association of geodesy symposia, vol 139. Springer, Berlin/Heidelberg. doi:10.1007/978-3-642-37222-3_51
Kim J (2000) Simulation study of a low-low satellite-to-satellite tracking mission. Dissertation, University of Texas, Austin
Kurtenbach E, Mayer-Gürr T, Eicker A (2009) Deriving daily snapshots of the Earth’s gravity field from GRACE L1B data using Kalman filtering. Geophys Res Lett 36:L17102. doi:10.1029/2009GL039564
Kusche J, Schmidt R, Petrovic S, Rietbroek R (2009) Decorrelated GRACE time-variable gravity solutions by GFZ, and their validation using a hydrological model. J Geodesy 83:903–913. doi:10.1007/s00190-009-0308-3
Liu X, Ditmar P, Siemes C, Slobbe DC, Revtova E, Klees R, Riva R, Zhao Q (2010) DEOS Mass Transport model (DMT-1) based on GRACE satellite data: methodology and validation. Geophys J Int 181:769–788. doi:10.1111/j.1365-246X.2010.04533.x
Mayer-Gürr T (2006) Gravitationsfeldbestimmung aus der Analyse kurzer Bahnbögen am Beispiel der Satellitenmissionen CHAMP und GRACE. Dissertation, University of Bonn
Meyer U, Jäggi A, Beutler G (2012) Monthly gravity field solutions based on GRACE observations generated with the celestial mechanics approach. Earth Planet Sci Lett 345:72–80. doi:10.1016/j.epsl.2012.06.026
Meyer U, Dahle C, Sneeuw N, Jäggi A, Beutler G, Bock H (2015) The effect of pseudo-stochastic orbit parameters on GRACE montly gravity fields – insights from lumped coefficents. Submitted to international association of geodesy symposia, VIII Hotine-Marussi Symposium, Rome, 2013
Novák P (2007) Integral inversion of SST data of type GRACE. Stud Geophys Geod 51:351–367. doi:10.1007/s11200-007-0020-9
Reigber C, Schmidt R, Flechtner F, König R, Meyer U, Neumayer KH, Schwintzer P, Zhu SY (2005) An earth gravity field model complete to degree and order 150 from GRACE: EIGEN-GRACE02S. J Geodyn 39:1–10. doi:10.1016/j.jog.2004.07.001
Rummel R (1975) Downward continuation of gravity information from satellite to satellite tracking or satellite gradiometry in local areas. Reports of the Department of Geodetic Science, vol 221. Ohio State University, Columbus, 50 pp
Schmidt R (2007) Zur Bestimmung des cm-Geoids und dessen zeitlicher Variationen mit GRACE. Dissertation, Scientific Technical Report STR07/04, April 2007, Potsdam, 141 p. doi:10.2312/GFZ.b103-07042
Shako R, Förste C, Abrikosov O, Bruinsma SL, Marty J-C, Lemoine J-M, Flechtner F, Neumayer KH, Dahle C (2014) EIGEN-6C: A High-Resolution Global Gravity Combination Model Including GOCE Data. In: Flechtner F et al (eds) Observation of the system earth from space – CHAMP, GRACE, GOCE and Future Missions, Advanced Technologies in Earth Sciences. Springer, Berlin/Heidelberg. doi:10.1007/978-3-642-32135-1_20
Steigenberger P, Hugentobler U, Lutz S, Dach R (2011) CODE contribution to the first IGS reprocessing campaign. Technical Report 1/2011, Institute for Astronomical and Physical Geodesy (IAPG), Technical University of Munich
Tapley BD, 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
Tesmer V, Steigenberger P, van Dam T, Mayer-Gürr T (2011) Vertical deformations from homogeneously processed GRACE and global GPS long-term series. J Geodesy 85:291–310. doi:10.1007/s00190-010-0437-8
Watkins M, Yuan DN (2012) JPL level-2 processing standards document for level-2 product release 05. GRACE document 327–744. ftp://podaac.jpl.nasa.gov/allData/grace/docs/. Accessed 31 July 2013
Werth S, Güntner A, Petrovic S, Schmidt R (2009) Integration of GRACE mass variations into a global hydrological model. Earth Planet Sci Lett 277:166–173. doi:10.1016/j.epsl.2008.10.021
Acknowledgements
This work has been funded by the German Federal Ministry of Education and Research (BMBF) with support code 03F0654A.
We would like to thank the German Space Operations Center (GSOC) of the German Aerospace Center (DLR) for providing continuously and nearly 100% of the raw telemetry data of the twin GRACE satellites.
We would also like to thank the editor, M. Weigelt, as well as U. Meyer and two anonymous reviewers for their helpful comments improving this manuscript.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Dahle, C., Gruber, C., Fagiolini, E., Flechtner, F. (2015). Gravity Field Mapping from GRACE: Different Approaches—Same Results?. 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_8
Download citation
DOI: https://doi.org/10.1007/1345_2015_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-24548-5
Online ISBN: 978-3-319-30530-1
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)