Geoid effects in a convecting system with lateral viscosity variations

Physics

Scientific paper

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Convection-Diffusion Equation, Earth Mantle, Geoids, Geophysical Fluids, Stream Functions (Fluids), Viscous Fluids, Dynamic Response, Steady State, Viscous Flow

Scientific paper

The geoid signal and the flow patterns of two-dimensional steady state convection models with exponential temperature- and depth dependent viscosity are compared with results for an equivalent stratified viscosity structure. In analogy to Richards and Hager (1989), the latter are computed by a 'dynamic response' approach. The flow fields obtained with this approach are quite different from the full solution; the geoid signals are similar but the amplitudes differ significantly. The differences are analyzed in the horizontal wavenumber domain and in the spatial domain. They may lead to an overestimation of the viscosity contrast of the earth's mantle derived by modeling the earth's geoid with dynamic response functions. There are implications on the interpretation of observed geoid anomalies in terms of up- or downwelling flow structures.

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