Some remarks about the degree-one deformation of the Earth.

Details Some remarks about the degree-one deformation of the Earth. Some remarks about the degree-one deformation of the Earth.

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997geoji.131..699g&link_type=abstract

Geophysical Journal International, Vol. 131, No. 3, p. 699 - 723

Physics

16

Earth: Deformation

Scientific paper

The degree-one deformation of the Earth (and the induced discrepancy between the figure centre and the mass centre of the Earth) is computed using a theoretical approach (Love numbers formalism) at short timescales (where the Earth has an elastic behaviour) as well as at long timescales (where the Earth has a viscoelastic or quasi-fluid behaviour). For a Maxwell model of rheology, the degree-one relaxation modes associated with the viscoelastic Love numbers have been investigated: the M0 mode does not exist and there is only one transition mode (instead of two) generated by a viscosity discontinuity. The translations at each interface of the incompressible layers of the Earth model (surface, 670 km depth discontinuity, core-mantle boundary (CMB) and inner-core boundary (ICB)) are computed. They are elastic with an order of magnitude of about 1 mm when the excitation source is the atmospheric continental loading or a magnetic pressure acting at the CMB. They are viscoelastic when the Earth is submitted to Pleistocene deglaciation, with an order of magnitude of about 1 m. In a quasi-fluid approximation (Newtonian fluid) because of the mantle density heterogeneity their order of magnitude is about 100 m (except for the ICB, which is in quasi-hydrostatic equilibrium at this timescale).

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