Surface deformation, gravity and the geoid from a three-dimensional convection model at low Rayleigh numbers

Physics

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Convective Flow, Earth Gravitation, Earth Mantle, Geoids, Rayleigh Number, Three Dimensional Flow, Three Dimensional Models, Deformation, Gravitational Fields, Green'S Functions

Scientific paper

The two-dimensional surface deformation, gravity field, and geoid are calculated from the temperature fields of a number of numerical models of constant-viscosity three-dimensional convective flows, heated from within and from below. The surface deformation and the geoid are insensitive to the short-wavelength features of the temperature variation; the gravity field is less smooth, although it still does not clearly indicate the narrowness of the upwelling and downwelling regions at large Rayleigh numbers. The results indicate that the convective upwelling beneath regions showing positive geoid and residual depth anomalies is more localized than the horizontal extent of these features would suggest. The results are relevant to attempts to understand the behavior of the earth mantle.

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