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Time-Variable Gravity Field and Global Deformation of the Earth

  • Jürgen Kusche
Reference work entry

Abstract

The analysis of the Earth’s time-variable gravity field and its changing patterns of deformation plays an important role in Earth system research. These two observables provide, for the first time, a direct measurement of the amount of mass that is redistributed at or near the surface of the Earth by oceanic and atmospheric circulation and through the hydrological cycle. In this chapter, we will first reconsider the relations between gravity and mass change. We will in particular discuss the role of the hypothetical surface mass change that is commonly used to facilitate the inversion of gravity change to density. Then, after a brief discussion of the elastic properties of the Earth, the relation between surface mass change and the three-dimensional deformation field is considered. Both types of observables are then discussed in the framework of inversion. None of our findings are entirely new; we merely aim at a systematic compilation and discuss some frequently made assumptions. Finally, some directions for future research are pointed out.

Keywords

International GNSS Service Gravity Change Love Number Spherical Harmonic Coefficient Superconducting Gravimeter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Bettadpur S, Ries J, Save H (2008) Time-variable gravity, low Earth orbiters, and bridging gaps. In: GRACE Science Team Meeting 2008, San Francisco, 12–13 Dec 2008Google Scholar
  2. Blewitt G (2003) Self-consistency in reference frames, geocenter definition, and surface loading of the solid Earth. J Geophys Res 108(B2):2103. doi:10.1029/2002JB002082CrossRefGoogle Scholar
  3. Blewitt G, Clarke P (2003) Inversion of Earth’s changing shape to weigh sea level in static equilibrium with surface mass redistribution. J Geophys Res 108(B6):2311. doi:10.1029/2002JB002290CrossRefGoogle Scholar
  4. Chao BF (2005) On inversion for mass distribution from global (time-variable) gravity field. J Geodyn 39:223–230CrossRefGoogle Scholar
  5. Farrell W (1972) Deformation of the Earth by surface loads. Rev Geophys Space Phys 10(3):761–797CrossRefGoogle Scholar
  6. Flechtner F (2007) AOD1B Product Description Document for Product Releases 01 to 04 (Rev. 3.1, 13 Apr 2007), GR-GFZ-AOD-0001, GFZ PotsdamGoogle Scholar
  7. Ilk KH, Flury J, Rummel R, Schwintzer P, Bosch W, Haas C, Schröter J, Stammer D, Zahel W, Miller H, Dietrich R, Huybrechts P, Schmeling H, Wolf D, Götze HJ, Riegger J, Bardossy A, Güntner A, Gruber T (2005) Mass transport and mass distribution in the Earth system. Contribution of the new generation of satellite gravity and altimetry missions to geosciences, GFZ PotsdamGoogle Scholar
  8. Jansen MWF, Gunter BC, Kusche J (2009) The impact of GRACE, GPS and OBP data on estimates of global mass redistribution. Geophys J Int. doi:10.1111/j.1365-246X.2008.04031.xGoogle Scholar
  9. Kusche J (2007) Approximate decorrelation and non-isotropic smoothing of time-variable GRACE-type gravity fields. J Geodesy 81(11):733–749CrossRefzbMATHGoogle Scholar
  10. Kusche J, Schrama EJO (2005) Surface mass redistribution inversion from global GPS deformation and Gravity Recovery and Climate Experiment (GRACE) gravity data. J Geophys Res 110:B09409. doi:10.1029/2004JB003556Google Scholar
  11. Mendes Cerveira P, Weber R, Schuh H (2006) Theoretical aspects connecting azimuth-dependent Load Love Numbers, spatiotemporal surface geometry changes, geoid height variations and Earth rotation data. In: WIGFR2006, Smolenice Castle, 8–9 May 2006Google Scholar
  12. Métivier L, Greff-Lefftz M, Diament M (2005) A new approach to computing accurate gravity time variations for a realistic earth model with lateral heterogeneities. Geophys J Int 162:570–574CrossRefGoogle Scholar
  13. Michel V (2005) Regularized wavelet-based multiresolution recovery of the harmonic mass density distribution from data of the Earth’s gravitational field at satellite height. Inverse Probl 21:997–1025CrossRefzbMATHGoogle Scholar
  14. Neumeyer J, Barthelmes F, Dierks O, Flechtner F, Harnisch M, Harnisch G, Hinderer J, Imanishi Y, Kroner C, Meurers B, Petrovic S, Reigber C, Schmidt R, Schwintzer P, Sun H-P, Virtanen H (2006) Combination of temporal gravity variations resulting from superconducting gravimeter (SG) recordings, GRACE satellite observations and global hydrology models. J Geodesy 79:573–585CrossRefGoogle Scholar
  15. Plag H-P, Gross R (2008) Exploring the link between Earth’s gravity field, rotation and geometry in order to extend the GRACE-determined terrestrial water storage to non-GRACE times. In: GRACE science team meeting 2008, San Francisco, 12–13 Dec 2008Google Scholar
  16. Plag H-P, Jüttner H-U, Rautenberg V (1996) On the possibility of global and regional inversion of exogenic deformations for mechanical properties of the Earth’s interior. J Geodyn 21(3):287–308CrossRefGoogle Scholar
  17. Rietbroek R, Brunnabend S-E, Dahle C, Kusche J, Flechtner F, Schröter J, Timmermann R (2009) Changes in total ocean mass derived from GRACE, GPS, and ocean modeling with weekly resolution. J Geophys Res 114:C11004. doi:10.1029/2009JC005449CrossRefGoogle Scholar
  18. Wahr J, Molenaar M, Bryan F (1998) Time variability of the Earth’s gravity field: hydrological and oceanic effects and their possible detection using GRACE. J Geophys Res 103(B12):30205–30229CrossRefGoogle Scholar
  19. Wang R (1991) Tidal deformations on a rotating, spherically asymmetric, visco-elastic and laterally heterogeneous Earth. Peter Lang, Frankfurt/MainGoogle Scholar
  20. Wu X, Heflin MB, Ivins ER, Fukumori I (2006) Seasonal and interannual global surface mass variations from multisatellite geodetic data. J Geophys Res 111:B09401. doi:10.1029/2005JB004100Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Astronomical, Physical and Mathematical Geodesy GroupBonn UniversityBonnGermany

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