Mathematics – Metric Geometry
Scientific paper
Jan 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992geoji.108..198k&link_type=abstract
Geophysical Journal International (ISSN 0956-540X), vol. 108, Jan. 1992, p. 198-214.
Mathematics
Metric Geometry
32
Earth Mantle, Free Convection, Geoids, Planetary Mantles, Topography, Venus (Planet), Aspect Ratio, Convective Heat Transfer, Mathematical Models, Nusselt Number, Rayleigh Number, Thermal Boundary Layer, Viscosity, Volcanology
Scientific paper
A variety of evidence suggests that at least some hotspots are formed by quasi-cylindrical mantle plumes upwelling from deep in the mantle. Such plumes are modeled in cylindrical, axisymmetric geometry with depth-dependent, Newtonian viscosity. Cylindrical and sheet-like, Cartesian upwellings have significantly different geoid and topography signatures. However, Rayleigh number-Nusselt number systematics in the two geometries are quite similar. The geoid anomaly and topographic uplift over a plume are insensitive to the viscosity of the surface layer, provided that it is at least 1000 times the interior viscosity. Increasing the Rayleigh number or including a low-viscosity asthenosphere decreases the geoid anomaly and the topographic uplift associated with an upwelling plume.
Hager Bradford H.
Kiefer Walter Scott
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