Mathematics – Logic
Scientific paper
Dec 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jgr....85.7031k&link_type=abstract
Journal of Geophysical Research, vol. 85, Dec. 10, 1980, p. 7031-7044. Research supported by the Australian National University
Mathematics
Logic
49
Convection, Earth Mantle, Geodynamics, Rheology, Earth Surface, Planetary Boundary Layer, Planetary Composition, Plates (Tectonics), Rayleigh Number, Seismic Energy, Spherical Harmonics
Scientific paper
An attempt is made to derive constraints on mantle convection from observed surface fields: plate velocities, gravity, topography and heat flow. The spherical harmonic spectra of the fields are expressed in terms of a spectral magnitude and slope, and requirements for the minimal representation of the equations for mantle convection are discussed. The effects of the boundary layer represented by the surface fields on convection at the mantle surface and at deeper levels are then examined, and a mean value of the effective mantle viscosity of approximately 10 to the 23rd g/cm per sec is obtained, together with values of 10 to the 8th and 10 to the 7th for the Rayleigh numbers of whole mantle and upper mantle convection, respectively. Consideration is then given to the compositional, thermal and rheological aspects of mantle convection, and it is pointed out that constraints on the depth and other properties of convection will require more detailed modeling using the relationships between the harmonic coefficients of the surface fields.
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