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Mantle Flow with Existence of Plates and Generation of the Toroidal Field

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Mechanics Problems in Geodynamics Part II

Part of the book series: Pageoph Topical Volumes ((PTV))

Abstract

The observed plate velocities contain two types of motions. The poloidal component is related to the formation of ridges and subduction zones and the toroidal field expresses the shearing of surface plates. One very important consideration in modeling flow in the earth’s mantle is the existence and motion of the lithospheric plates. The motion of plates represents a large-scale circulation with strong viscous coupling to the mantle underneath. The mantle flow probably is neither a purely free convection driven by buoyancy forces due to nonadiabatic temperature gradients in the mantle nor a forced convection generated by boundary forces, but a mixed convection that combines the effects of boundary and buoyancy forces. We present, in this paper, the mixed convection model resulting in a surface velocity field that contains both the observed poloidal and toroidal components.

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References

  • Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability (Oxford Clarendon Press, 1961 ).

    Google Scholar 

  • Forsyth, D., and Uyeda, A. (1975), On the Relative Importance of the Driving Forces of Plate Motion, Geophys. J. R. Astr. Soc. 43, 163–200.

    Google Scholar 

  • Forte, A. M., and Peltier, W. R. (1987), Plate Tectonics and Aspherical Earth Structure: The Importance of Poloidal-toroidal Coupling, J. Geophys. Res. 92 (B5), 3645–3679.

    Article  Google Scholar 

  • Hager, B. H., and O’Connell, R. J. (1978), Subduction Zone Dip Angles and Flow Driven by Plate Motion. Tectonophysics 50, 111–133.

    Article  Google Scholar 

  • Hager, B. H., and O’Connell, R. J. (1981), A Simple Global Model of Plate Dynamics and Mantle Convection, J. Geophys. Res. 86, 4843–4867.

    Google Scholar 

  • Minster, J. B., and Jordan, T. H. (1978), Present-day Plate Motions, J. Geophys. Res. 83, 5331–5354.

    Article  Google Scholar 

  • Parmentier, E. M., and Turcotte, D. L. (1976), Studies of Finite Amplitude non-Newtonian Thermal Convection with Application to Convection in the Earth’s Mantle, J. Geophys. Res. 81, 1839–1846.

    Article  Google Scholar 

  • Peltier, W. R., Jarvis, G. T., Forte, A. M., and Solheim, L. P., The radial structure of mantle general circulation. In Mantle Convection (ed. Peltier, W. R.) (Gordon and Breach, New York, 1989 ) pp. 765–816.

    Google Scholar 

  • Ricard, Y., and Vigny, C. (1989), Mantle Dynamics with Induced Plate Tectonics, J. Geophys. Res. 94 (B12), 17543–17559.

    Article  Google Scholar 

  • Richter, F. M. (1973), Dynamical Models for Sea Floor Spreading, Rev. Geophys. Space Phys. 11, 223–287.

    Article  Google Scholar 

  • Richter, F. M., and Parson, B. (1975), On the Interactions of Two Scales of Convection in the Mantle, J. Geophys. Res. 80, 2529–2541.

    Google Scholar 

  • Tritton, D. J., Physical Fluid Dynamics (Van Nostrand Reinhold Company, 1977 ).

    Book  Google Scholar 

  • Ye, Z. R., and Hong, M. D. (1983), The Action of the Mantle Asthenosphere on the Plates: Driving or Dragging, Acta Geophys. Sinica. 26, Suppl. 651–660 (in Chinese, with English abstract).

    Google Scholar 

  • Ye, Z. R., Teng, C. K., and BAI, W. M. (1993), A Mantle Convection Model to Fit in with the Surface Observations, Phys. Earth Planet. Inter. 76, 35–41.

    Article  Google Scholar 

  • Ye, Z. R., Teng, C. K., and Zhang, X. W. (1995), Coupling between Mantle Convection and Lithospheric Plates (I) the Free Convection in a Spherical Shell, Acta Geophys. Sinica. 38, 174–181 (in Chinese, with English abstract).

    Google Scholar 

  • Zebib, A., Schubert, G., and Straus, J. M. (1980), Infinite Prandtl Number Thermal Convection in a Spherical Shell, J. Fluid Mech. 97, 257–277.

    Article  Google Scholar 

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© 1996 Birkhäuser Verlag, Basel

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Ye, ZR., Zhang, XW., Teng, CK. (1996). Mantle Flow with Existence of Plates and Generation of the Toroidal Field. In: Wang, R., Aki, K. (eds) Mechanics Problems in Geodynamics Part II. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9200-1_9

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  • DOI: https://doi.org/10.1007/978-3-0348-9200-1_9

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-7643-5412-1

  • Online ISBN: 978-3-0348-9200-1

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