Physics
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991geoji.104..331w&link_type=abstract
Geophysical Journal International (ISSN 0955-419X), vol. 104, Feb. 1991, p. 331-349.
Physics
9
Earth Mantle, Mathematical Models, Relaxation (Mechanics), Stress Distribution, Thermodynamic Properties, Viscoelasticity, Boundary Conditions, Harmonics, Relaxation Time, Velocity Distribution
Scientific paper
The postglacial relaxation phenomenon of a viscously compressible nonself-gravitating spherical-shell model is investigated. Analytical solutions to an exponentially depth-dependent viscosity are developed with various types of compressible density models such as those with an exponential dependence of the radius and an algebraic-root dependence of the radius. The solutions of a viscously compressible multilayered model with constant thermodynamic properties and viscosity are developed by the propagator matrix method. The results show that inferences of deep mantle viscosity from postglacial rebound would be hampered by mantle compressibility for long-wavelength harmonics because of the smaller excitation of compressible eigenfunctions in the lower mantle. The relaxation times and velocity fields are more sensitive to higher viscosity contrast for the exponentially varying viscosity than for models with discrete jumps in the viscosity structure.
Wu Jackson
Yuen Dave A.
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