Lame's problem of gravitational viscoelasticity - The isochemical, incompressible planet

Details Lame's problem of gravitational viscoelasticity - The isochemical, incompressible planet Lame's problem of gravitational viscoelasticity - The isochemical, incompressible planet

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994geoji.116..321w&link_type=abstract

Geophysical Journal International, vol. 116, p. 321

Physics

13

Viscoelasticity, Gravitational Effects, Planetary Structure, Incompressible Fluids, Hydrostatics, Elastic Deformation, Geophysical Fluids, Perturbation, Green'S Functions, Load Distribution (Forces)

Scientific paper

We consider a spherical, isochemical, incompressible, nonrotating fluid planet and study infinitesimal, quasi-static, gravitational-viscoelastic perturbations, induced by surface loads, of a hydrostatic initial state. The analytic solution to the incremental field equations and interface conditions governing the problem is derived using a formulation in terms of the isopotential incremental pressure measuring the increment of the hydrostatic initial pressure with respect to a particular level surface of the gravitational potential. This admits the decoupling of the incremental equilibrium equation from the incremental potential equation. As result, two mutually independent (4 x 4) and (2 x 2) first-order ordinary differential systems in terms of the mechanical and gravitational quantities, respectively, are obtained, whose integration is algebraically easier than that of the conventional (6 x 6) differential system. In support of various types of application, we provide transfer functions, impulse-response functions and Green's functions for the full range of incremental field quantities of interest in studies of planetary deformations.

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