TPW Driven by Subduction: Non-linear Rotation Theory

  • Roberto Sabadini
  • Bert Vermeersen
  • Gabriele Cambiotti
Chapter
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Abstract

This chapter deals with the development of a non-linear rotation theory, driven by internal density anomalies, as for those due to mantle convection, for a stratified, viscoelastic, incompressible Earth. We show how mantle convection TPW represents a very powerful constraint for the mantle viscosity profile, and our finding is that the lower mantle has to be definitively stiffer than the upper mantle.

Keywords

Lower Mantle Mantle Convection Inertia Tensor Love Number Geophysical Process 
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.
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References

  1. Gold, T. (1955). “Instability of the earth’s axis of rotation”. In: Nature 175, pp. 526–529.Google Scholar
  2. Goldreich, P. and A. Toomre (1969). “Some remarks on polar wandering”. In: J. Geophys. Res. 74, pp. 2555–2567.Google Scholar
  3. Lefftz, M., H. Legros, and J. Hinderer (1991). “Non-linear equations for the rotation of a viscoelastic planet taking into account the influence of a liquid core”. In: Celest. Mech. Dynamical Astron. 52, pp. 13–43.Google Scholar
  4. Milankovitch, M. (1934). “Der Mechanismus der Polverlagerungen und die daraus sich ergebenden Polbahnkurven”. In: Gerlands Beitr. z. Geophys. 42, pp. 70–97.Google Scholar
  5. Munk, W.H. and G.J.F. MacDonald (1960). The Rotation of the Earth: A Geophysical Discussion. Cambridge University Press, Cambridge, UK.Google Scholar
  6. Ricard, Y., L. Fleitout, and C. Froidevaux (1984). “Geoid heights and lithospheric stresses for a dynamic Earth”. In: Ann. Geophysicae 2, pp. 267–286.Google Scholar
  7. Ricard, Y., G. Spada, and R. Sabadini (1993). “Polar wandering of a dynamic Earth”. In: Geophys. J. Int. 113, pp. 284–298.Google Scholar
  8. Richards, M.A. and B.H. Hager (1984). “Geoid anomalies in a dynamic Earth”. In: J. Geophys. Res. 89, pp. 5987–6002.Google Scholar
  9. Vermeersen, L.L.A. and R. Sabadini (1997). “A new class of stratified viscoelastic models by analytical techniques”. In: Geophys. J. Int. 129, pp. 531–570.Google Scholar
  10. Wu, P. and W.R. Peltier (1982). “Viscous gravitational relaxation”. In: Geophys. J. R. Astron. Soc. 70, pp. 435–485.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • Roberto Sabadini
    • 1
  • Bert Vermeersen
    • 2
    • 3
  • Gabriele Cambiotti
    • 4
  1. 1.Section of GeophysicsUniversity of MilanMilanItaly
  2. 2.Delft University of TechnologyDelftThe Netherlands
  3. 3.Royal NIOZTexelThe Netherlands
  4. 4.University of MilanMilanItaly

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