Abstract
The thermal profile in the Earth's interior is influenced by many factors. One of the least understood and studied processes is that resulting from adiabatic heating and viscous dissipation. With the exception of the work by Jarvis and McKenzie1 very little has been done on the effects of compressibility on mantle circulation. It is quite common for geophysicists to add the adiabatic temperature gradient a posteriori2 to temperature profiles derived from Boussinesq (incompressible) equations. Recently it has been shown3 with the mean-field method4 that there exists a strong coupling between the Theological parameters, such as the activation volume, and the thermodynamic constants governing adiabatic heating. Here we point out the important consequences brought about by incorporating the effects of equations of state and rheology in the dissipative heating term of the energy equation. We demonstrate explicitly the ways in which compression may raise the interior mantle temperature and illustrate how this effect can, in turn, be used for constraining some of the intrinsic parameters associated with the equation of state in the mantle.
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
Rent or buy this article
Get just this article for as long as you need it
$39.95
Prices may be subject to local taxes which are calculated during checkout
References
Jarvis, G. T. & McKenzie, D. P. J. Fluid Mech. 96, 515–583 (1980).
Jeanloz, R. & Morris, S. A. Rev. Earth planet. Sci. 14, 377–416 (1986).
Quareni, F., Yuen, D. A. & Saari, M. R. Geophys. Res. Lett. 13, 38–41 (1986).
Gough, D. O., Spiegel, E. A. & Toomre, J. J. Fluid Mech. 68, 695–719 (1975).
Yuen, D. A. & Fleitout, L. M. Nature 313, 125–128 (1985).
Spera, F. J., Yuen, D. A., Clark, S. & Hong, H. J. Geophys. Res. Lett. 86, 153–156 (1986).
Roberts, P. H. J. Fluid Mech. 30, 33–49 (1967).
Sammis, C. G., Smith, J. C., Schubert, G. & Yuen, D. A. J. geophys. Res. 82, 3747–3761 (1977).
Boehler, R. J. geophys. Res. 86, 7159–7162 (1981).
Knittle, E., Jeanloz, R. & Smith, G. L. Nature 319, 214–216 (1986).
Zebib, A. F., Schubert, G. & Straus, J. M. J. Fluid Mech. 97, 257–277 (1980).
Olson, P. L. J. geophys. Res. 86, 4881–4890 (1981).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yuen, D., Quareni, F. & Hong, HJ. Effects from equation of state and rheology in dissipative heating in compressible mantle convection. Nature 326, 67–69 (1987). https://doi.org/10.1038/326067a0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/326067a0
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.
