Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Wave transport of deep mantle material

Abstract

Fluid with a certain density and viscosity can rise by buoyant Poiseuille flow through a conduit1 within a second fluid of greater density and viscosity. Such conduits exhibit a rich behaviour characteristic of nonlinear systems, an aspect of which is the formation of solitary waves2,3. Here we present theoretical and experimental studies of these systems. Both approaches reveal that solitary waves trap material in a cell with closed streamlines and that the central streamline velocity is faster than the wave speed. Hence, parcels of deep material are transported directly upward over large distances. This is in contrast to the usual situation in which wave propagation through a medium causes only small displacement of fluid particles. Material in these parcels will be far less contaminated by diffusion from the surroundings than would be material in ordinary pipe flow. In addition, solitary waves are more efficient than buoyant spheres at conveying material upward. We suggest that such waves might exist in the Earth's mantle, conveying uncontaminated deep mantle material to the surface of the Earth.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

References

  1. Whitehead, J. A. & Luther, D. S. J. geophys. Res. 80, 705–717 (1975).

    Article  ADS  Google Scholar 

  2. Scott, D. S., Stevenson, D. L. & Whitehead, J. A. Nature 319, 759–761 (1986).

    Article  ADS  Google Scholar 

  3. Olson, P. & Christensen, U. J. geophys. Res. 91, 6367–6374 (1986).

    Article  ADS  Google Scholar 

  4. Huppert, H. E., Sparks, R. S. J., Whitehead, J. A. & Hallworth, M. A. J. geophys. Res. 91, 6113–6122 (1986).

    Article  ADS  Google Scholar 

  5. Stacey, F. D. & Loper, D. E. Phys. Earth planet. Inter. 33, 45–55 (1983).

    Article  ADS  Google Scholar 

  6. Olson, P., Schubert, G. & Anderson, C. Nature 327, 409–412 (1987).

    Article  ADS  Google Scholar 

  7. Skilbeck, J. N. & Whitehead, J. A. Nature 272, 499–501 (1978).

    Article  ADS  Google Scholar 

  8. Whitehead, J. A. Geophys. J. R. astr. Soc. 70, 415–433 (1982).

    Article  ADS  Google Scholar 

  9. Whitehead, J. A. Am. J. Phys. 55, 998–1003 (1987).

    Article  ADS  Google Scholar 

  10. Scott, D. S. thesis, California Institute of Technology, California (1987).

  11. Taylor, G. I. Proc. R. Soc. A219, 186–203 (1953).

    ADS  CAS  Google Scholar 

  12. Taylor, G. I. Proc. R. Soc. A225, 473–477 (1954).

    ADS  CAS  Google Scholar 

  13. Turcotte, D. L. & Schubert, G. Geodynamics (Wiley, New York, 1982).

    Google Scholar 

  14. Hofmann, A. W. Terra Cognita 4, 157–165 (1984).

    Google Scholar 

  15. Griffiths, R. W. Earth planet. Sci. Lett. 78, 435–446 (1986).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Whitehead, J., Helfrich, K. Wave transport of deep mantle material. Nature 336, 59–61 (1988). https://doi.org/10.1038/336059a0

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/336059a0

This article is cited by

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.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing