Abstract
One outstanding problem of great geophysical importance is the vertical extent of convection in the Earth's mantle1. Steady-state models of convection in the mantle have yet to produce a description of the mantle which is consistent with geochemical and geophysical observations. Here we present time-dependent numerical models of two-dimensional convection which simulate mantle convection. Starting from a fluid initially at rest with a purely conductive temperature profile, we now find that for a Rayleigh number (Ra) of 107, the model experiences a transient period of double-layer convection, which lasts on the order of hundreds of millions of years when scaled to the Earth's mantle. It is suggested that transient periods of double-layer convection in the Earth's mantle may have existed in the past, whether or not such a period exists today.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Schubert, G. A. Rev. Earth planet. Sci. 7, 289–342 (1979).
Davies, G. F. Geophys. J. R. astr. Soc. 49, 459–486 (1977).
Elsasser, W. M., Olson, P. & Marsh, B. D. J. geophys. Res. 84, 147–155 (1979).
Jeanloz, R. & Richter, F. M. J. geophys. Res. 84, 5497–5504 (1979).
Olson, P. J. geophys. Res. 86, 4881–4890 (1981).
Richter, F. M. & McKenzie, D. P. J. geophys. Res. 86, 6133–6142 (1981).
Schubert, G. & Spohn, T. Geophys. Res. Lett. 8, 951–954 (1981).
Fowler, A. C. Geophys. Res. Lett. 9, 816–819 (1982).
Kenyon, P. M. & Turcotte, D. L. J. geophys. Res. (submitted).
Spohn, T. & Schubert, G. J. geophys. Res. 87, 4682–4696 (1982).
Hofmann, A. W., White, W. M. & Whitford, D. J. Carnegie Instn Wash. Yb. 77, 548–562 (1978).
DePaolo, D. J. Nature 291, 193–196 (1981).
Jacobsen, S. B. & Wasserburg, G. J. Tectonophysics 75, 163–179 (1981).
Allegre, C. J. Tectonophysics 81, 109–132 (1982).
Christensen, U. Geophys. J. R. astr. Soc. 68, 487–497 (1982).
Olson, P. & Yuen, D. A. J. geophys. Res. 87, 3993–4002 (1982).
Richter, F. M. & McKenzie, D. P. J. geophys. Res. 86, 6133–6142 (1981).
Peltier, W. R. A. Rev. Earth planet. Sci. 9, 199–225 (1981).
Andrews, D. J. J. geophys. Res. 77, 6470–6481 (1972).
Young, R. E. J. Fluid Mech. 63, 695–721 (1974).
McKenzie, D. P., Roberts, J. M. & Weiss, N. O. J. Fluid Mech. 62, 465–538 (1974).
Schubert, G. & Young, R. E. Tectonophysics 35, 201–214 (1976).
Daly, S. F. Geophys. J. R. astr. Soc. 61, 519–547 (1980).
Arkani-Hamed, J., Toksoz, M. N. & Hsui, A. T. Tectonophysics 75, 19–30 (1981).
Houseman, G. & McKenzie, D. P. Geophys. J. R. astr. Soc. 68, 133–164 (1982).
Boss, A. P. & Sacks, I. S. Carnegie Instn Wash. Yb. 81, 543–550 (1982).
Lux, R. A. & Sacks, I. S. Carnegie Instn Wash. Yb. 79, 512–520 (1980).
Torrance, K. E. & Turcotte, D. L. J. Fluid Mech. 47, 113–125 (1971).
Schubert, G., Cassen, P. & Young, R. E. Phys. Earth planet. Interiors 20, 194–208 (1979).
Stevenson, D. J. Science 214, 611–619 (1981).
Basaltic Volcanism Study Project. Basaltic Volcanism on the Terrestrial Planets, 1163 (LPI, Houston, Texas, 1981).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Boss, A., Sacks, I. Time-dependent models of single- and double-layer mantle convection. Nature 308, 533–535 (1984). https://doi.org/10.1038/308533a0
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1038/308533a0
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.