Mantle flow due to internal vertical forces

Physics

Scientific paper

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Earth Mantle, Geophysical Fluids, Shear Stress, Tectonics, Viscous Fluids, Wall Flow, Fourier Analysis, Gibbs Phenomenon, Green'S Functions, Stokes Law (Fluid Mechanics), Subduction (Geology)

Scientific paper

Stokes flow image theories are used to study simple approximations of the flow due to vertical forces arising from density inhomogeneities in the earth's mantle. The results are used to estimate the amount of uplift which should occur at the surface when a subduction zone ceases subducting beneath. Calculation of the flow induced in the mantle shows that much of the flattening at the bottom of old detached subducted slabs such as Tonga and the New Hebrides would occur even in a constant-viscosity mantle. It does not require high viscosity at or beneath the bottoms of the slabs. Hager and O'Connell's (1981) theory for the forces involved in the 'ridge-push' mechanism for oceanic plate propulsion is rederived using a method which is not only simpler than that of Hager and O'Connell but also free of the Gibbs phenomenon.

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