Chinese Science Bulletin

, Volume 49, Issue 19, pp 2017–2021 | Cite as

Simple scaling relations in geodynamics: The role of pressure in mantle convection and plume formation



Scaling relations are important in extrapolating laboratory experiments to the Earth’s mantle. In planetary interiors, compression becomes an important parameter and it is useful to explore scalings that involve volume. I use simple volume scaling relations that allow one to extrapolate laboratory experiments and upper mantle behavior, in a thermodynamically self-consistent way, to predict lower mantle behavior. The relations are similar to the quasi-harmonic approximation. Slabs and plates have characteristic dimensions of hundreds of kilometers and time constants of 100 million years, but the volume scalings predict order of magnitude higher values in the deep mantle. The scaling relations imply that the deep mantle is a sluggish system with ancient features. They imply irreversible chemical stratification and do not favor the plume hypothesis.


scaling relations volume-dependent properties sluggish flow in deep mantle chemical stratification no mantle plumes 


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  1. 1.
    Birch, F., Elasticity and constitution of the Earth’s Interior, Journal of Geophysical Research, 1952, 57: 227–286.CrossRefGoogle Scholar
  2. 2.
    Anderson, Don L., A seismic equation of state, II. Shear properties and thermodynamics of the lower mantle, Physics of Earth and Planetary Interiors, 1987, 45: 307–323.CrossRefGoogle Scholar
  3. 3.
    Anderson, Don L., Theory of the Earth, Boston: Blackwell Scientific Publications, 1989, 366. 1989.001Google Scholar
  4. 4.
    Elder, J., The Bowels of the Earth, Oxford: Oxford Univ. Press, 1976.Google Scholar
  5. 5.
    Dziewonski, A., Global seismic tomography: past, present and future, in Problems in Geophysics for the New Millennium (eds. Boschi, E., Ekstrom, G., Morelli, A.), Bologna: Editrice Compositori, 2000.Google Scholar
  6. 6.
    van den Berg, A. P., Yuen, D. A., Allwardt, J. R. et al, Non-linear effects from variable thermal conductivity and mantle internal heating, Phys. Earth Planet. Int., 2002, 129: 359–375.CrossRefGoogle Scholar
  7. 7.
    Gaffney, E. S., Anderson, Don L., The effect of low-spin Fe on the composition of the lower mantle, J. Geophys. Res., 1973, 78(29): 7005–7014.CrossRefGoogle Scholar
  8. 8.
    Badro, J., Fiquet, G., Guyot, F., Iron partitioning in Earth’s mantle, Science, 2003, 300: 789–791.PubMedCrossRefGoogle Scholar
  9. 9.
    Anderson, Don L., Top-Down Tectonics? Science, 2001, 293: 2016–2018.PubMedCrossRefGoogle Scholar
  10. 10.
    Anderson, Don L., The case for irreversible chemical stratification of the mantle, International Geology Review, 2002, 44: 97–116.CrossRefGoogle Scholar
  11. 11.
    Organov, A. R., Brodholt, J. P., Price, G. D., The elastic constants of MgSiO3 perovskite at pressures and temperatures of the Earth’s mantle, Nature, 2001, 411: 934–936.CrossRefGoogle Scholar
  12. 12.
    Campbell, I. H., Griffiths, R. W., Implications of mantle plume structure for the evolution of flood basalts, Earth and Planetary Science Letters, 1990, 99: 79–93.CrossRefGoogle Scholar
  13. 13.
    Tackley, P., Three dimensional simulations of mantle convection with a thermo-chemical basal boundary layer, in the Core-Mantle Boundary Region, Geodynamics Series (eds. Gurnis, M., Wysession, M. E., Knittle, E. et al.), Washington, D.C.: American Geophysical Union, 1998, 28: 231–353.Google Scholar
  14. 14.
    Morgan, W. J., Deep mantle convection plumes and plate motions, Bulletin of the American Association of Petroleum Geologists, 1972, 56: 203–213.Google Scholar
  15. 15.
    Courtillot, V., Davaille, A., Besse, J. et al., Three distinct types of hotspots in the Earth’s mantle, Earth and Planetary Science Letters, 2003, 205: 295–308.CrossRefGoogle Scholar

Copyright information

© Science in China Press 2004

Authors and Affiliations

  1. 1.Seismological LaboratoryCalifornia Institute of TechnologyPasadenaUSA

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