Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999geoji.137..856t&link_type=abstract
Geophysical Journal International, Volume 137, Issue 3, pp. 856-872.
Astronomy and Astrophysics
Astronomy
10
Glacial Rebound, Mantle Viscosity, Normal Modes, Viscoelasticity
Scientific paper
We apply the general theory described in Paper I to the special case of a spherically symmetric, self-gravitating, linear viscoelastic earth model. We begin by deriving equations governing the biorthogonality relations, normalization conditions and energy partitioning of the associated normal modes. Our numerical tests indicate that radially dependent profiles of gravitational- and bulk-energy density provide a characterization of the normal modes that is distinct from the shear-energy density profile considered in previous studies. We formulate expressions governing the response of the earth model to an arbitrary surface-mass load. To facilitate comparison with previous work, we recast these expressions into an impulse-response, Love-number formalism. Our new expressions are mathematically compact, and involve only the inverse decay times and eigenfunctions associated with the homogeneous problem. Numerical tests verify the validity of our new expressions, and confirm the general theory outlined in Paper I.
Mitrovica Jerry X.
Tromp Jeroen
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