Influence of viscoelastic coupling on the axial rotation of the earth and its fluid core

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Earth Core, Earth Mantle, Earth Rotation, Geophysical Fluids, Linear Equations, Rotating Fluids, Viscoelasticity, Coupled Modes, Geodynamics, Love Waves, Mathematical Models

Scientific paper

The effect of mantle viscoelasticity upon the differential rotation of the earth's core with respect to the mantle is investigated, and a general formalism for this problem is presented. Three eigenfrequencies for the axial perturbations in rotation are found. The first one is relative to friction acting at the core-mantle boundary, and the others are relaxation modes associated with viscoelastic Love numbers. Attention is given to the differential rotation of the core when the earth is subjected to zonal geophysical excitations like glaciation and deglaciation, tidal torque or other processes occurring at the core-mantle boundary (CMB). It is shown that the tidal deceleration involves an eastward drift of the core with respect to the mantle. For precise values of the mantle viscosity and of the frictional constant at the CMB, the last deglaciation is found to involve a westward drift of the core with respect to the mantle, which may be correlated with the observed westward drift of the earth's geomagnetic field.

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