Skip to main content

A Closed-Loop Simulation on Regional Modelling of Gravity Changes from GRACE

  • Conference paper
  • First Online:
Earth on the Edge: Science for a Sustainable Planet

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 139))

Abstract

A closed-loop simulation is set up in order to study in detail regional gravity modelling from GRACE-type observations. Thereby, potential differences between two satellites are simulated from a pre-defined mass trend signal, superimposed to a static background gravity model. These simulated observations are used for regional gravity field analysis with spherical radial basis functions. Finally, we use EOF analysis to identify the trend in gravity potential from a time series of 15-days quasi-static snapshots. Regional gravity modelling on the sphere is fairly complex and introduces approximation errors and artificial effects. In order not to mix up these errors with noise from the observations, we currently use noise-free observations. The model provides a versatile tool for detailed investigation of the data analysis method. Validation of the results is performed by comparison of input and output gravity change.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Bentel K, Gerlach C (2010) Observability of regional cryosphere signals with satellite gravity missions of GRACE-type. In: Lacoste-Francis H (ed) Proceedings of the ESA living planet symposium special publication SP-686. ESA Communications, ESTEC, The Netherlands

    Google Scholar 

  • Dowdeswell JA, Benham TJ, Strozzi T, Hagen JO (2008) Iceberg calving flux and mass balance of the Austfonna ice cap on Nordaustlandet, Svalbard. J Geophys Res 113. doi:10.1029/2007JF000905

    Google Scholar 

  • Flechtner F, Bettadpur S, Watkins M, Kruizinga G (2007) GRACE science data system monthly report January 2007. Tech. rep., GFZ Potsdam

    Google Scholar 

  • Freeden W, Schreiner M (2005) Spaceborne gravitational field determination by means of locally supported wavelets. J Geodes 79:431–446

    Article  Google Scholar 

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

    Google Scholar 

  • Han SC (2003) Efficient determination of global gravity field from satellite-to-satellite tracking mission. Celest Mech Dynam Astron 88:69–102

    Article  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). doi:10.1016/S0031-9201(02)00210-8

    Google Scholar 

  • Jekeli C (1999) The determination of gravitational potential differences from satellite-to-satellite tracking. Celest Mech Dynam Astron 75:85–101

    Article  Google Scholar 

  • Jolliffe IT (2002) Principal component analysis. Springer series in statistics, 2nd edn. Springer, New York

    Google Scholar 

  • Klees R, Tenzer R, Prutkin I, Wittwer T (2008) A data-driven approach to local gravity field modelling using spherical radial basis functions. J Geodes 82(8). doi:10.1007/s00190-007-0196-3

    Google Scholar 

  • Luthcke SB, Arendt AA, Rowlands DD, McCarthy JJ, Larsen CF (2008) Recent glacier mass changes in the Gulf of Alaska region from GRACE mascon solutions. J Glaciol 54:1–11

    Article  Google Scholar 

  • Preisendorfer RW (1988) Principal component analysis in meteorology and oceanography. Developments in atmospheric sciences, vol 17. Elsevier, Amsterdam

    Google Scholar 

  • Ramillien G, Lombard A, Cazenave A, Ivins E, Llubes M, Remy F, Biancale R (2006) Interannual variations of the mass balance of the Antarctica and Greenland ice sheets from GRACE. Global Planet Change 53(3):198–208

    Article  Google Scholar 

  • Rangelova E, van der Wal W, Braun A, Sideris MG, Wu P (2007) Analysis of gravity recovery and climate experiment time-variable mass redistribution signals over North America by means of principal component analysis. J Geophys Res 112. doi:10.1029/2006JF000615

    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. doi:10.1007/s00190-006-0101-5

    Google Scholar 

  • Schrama EJO, Wouters B (2011) Revisiting Greenland ice sheet mass loss observed by GRACE. J Geophys Res 116. doi:10.1029/2009JB006847

    Google Scholar 

  • Schrama EJO, Wouters B, Lavalleé DA (2007) Signal and noise in gravity recovery and climate experiment (GRACE) observed surface mass variations. J Geophys Res 12. doi:10.1029/2006JB004882

    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

    Google Scholar 

  • Velicogna I (2009) Increasing rates of ice mass loss from the Greenland and Antarctic ice sheets revealed by GRACE. Geophys Res Lett 36(19). doi:10.1029/2009GL040222

    Google Scholar 

  • Visser P, Sneeuw N, Gerlach C (2003) Energy integral method for gravity field determination from satellite orbit coordinates. J Geodes 77:207–216

    Article  Google Scholar 

  • Wolff M (1969) Direct measurements of the Earth’s gravitational potential using a satellite pair. J Geophys Res 74(22):5295–5300

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Katrin Bentel .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bentel, K., Gerlach, C. (2014). A Closed-Loop Simulation on Regional Modelling of Gravity Changes from GRACE. In: Rizos, C., Willis, P. (eds) Earth on the Edge: Science for a Sustainable Planet. International Association of Geodesy Symposia, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37222-3_11

Download citation

Publish with us

Policies and ethics