Mapping the fluid flow and shear near the core surface using the radial and horizontal components of the magnetic field

Physics

Scientific paper

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Earth Core, Geomagnetism, Geophysical Fluids, Shear Flow, Boundary Layer Flow, Earth Mantle, Geostrophic Wind, Secular Variations

Scientific paper

The problem of calculating the temporal evolution of both the radial and horizontal poloidal components of a field, given an initial field and the flow and shear, is first considered. Attention is then given to the inverse problem of determining the flow and shear, given an initial field and its temporal evolution. The nonuniqueness inherent in such inversions is discussed, and it is shown that part of the nonuniqueness in the shear is closely related to that in the flow derived from just the radial induction equation.

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