Topography and geoid induced by a convecting mantle beneath an elastic lithosphere

Computer Science

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Scientific paper

Thermal convection that occurs in terrestrial planetary bodies induces density anomalies but also dynamic topographies of the main interfaces. Both contribute to the shape of the geoid. While a classical approach now is to combine gravity and altimetry measurements to infer the internal structure of a planet [1], our complementary approach consists in computing synthetic dynamic topography and geoid from thermal convection calculations in order to understand their relationship. Here, we couple the deformation of an elastic shell (mimicking a planetary lithosphere) with the viscous convective flow below it. The viscous flow is computed using a 3D numerical tool for a spherical shell (OEDIPUS [2]) using a finite difference method that allows large lateral viscosity variations. The deformation of the elastic layer is computed using a semispectral method. We show that introducing the total traction force (instead of a simplified coupling involving only the radial component of the traction force as often assumed in earlier studies) results in a larger filtering effect caused by the elastic lithosphere (especially for thin elastic layers). In a last step, we will apply our hybrid tool to simple thermal convection calculations and compute the associated topography and geoid maps. Spectral characteristics of these synthetic signals are presented and discussed.

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