Geoid anomalies and dynamic topography from convection in cylindrical geometry - Applications to mantle plumes on earth and Venus

Mathematics – Metric Geometry

Scientific paper

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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.

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