Deformation of the core-mantle boundary induced by spherical-shell, compressible convection

Physics

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Compressible Fluids, Convection, Earth Core, Earth Mantle, Geodynamics, Geophysical Fluids, Boundary Conditions, Deformation, Equations Of State, Field Theory (Physics), Viscous Fluids

Scientific paper

Single-mode, mean-field equations, for spherical-shell convection are derived, with variable viscosity and compressibility included. Core-mantle boundary (CMB) topography produced by whole mantle convection is computed for various rheologies and different thermal boundary conditions at CMB. Results for long-wavelength undulations show the extreme sensitivity of these signatures to rheological and equation of state parameters. In order to obtain excess ellipticity of about 1 km, the activation energy and volume in the lower mantle should be low, and the temperatures at CMB should be around 4500 K, in accord with recent experimental findings.

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