On the interaction between small- and large-scale convection and postglacial rebound flow in a power-law mantle

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Convective Flow, Earth Mantle, Geophysical Fluids, Lithosphere, Rheology, Anisotropy, Flow Geometry, Rayleigh Number, Shear Flow, Stress Distribution, Viscous Flow

Scientific paper

The constitutive law for multiple-scale, non-Newtonian flows is derived, and some consequences which will arise in a non-Newtonian mantle if flows of different kind or scale would occur at the same time are considered. It was found that, for the superimposed flows, the apparent viscosities are anisotropic, and, depending on spatial variations of the flow stress field, heterogeneous. For the special case of one flow having a significantly larger magnitude than the other, the apparent anisotopy is quantified showing that the viscosities for different stress components differ by the factor of n, where n is the power of power-law rheology. Applying the results to postglacial rebound flow superimposed on a convecting mantle, it is argued that lateral variations of the apparent rebound viscosity of the order of at least 3 should be expected and that the flow geometry and relaxation time might be different from the Newtonian case. Furthermore, convective flow may be enhanced or retarded in rebound areas.

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