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- W2010023265 abstract "In the study of the postglacial isostatic readjustment process, deformation of the Earth is usually expressed as the superposition of normal modes. In order further to understand the properties of these normal modes in a stratified earth, analytical solutions for incompressible, non-self-gravitating, two-layer spherical Maxwell earth models are derived and presented. Since the main effect of non-self-gravitation is to increase the influence of gravity for small harmonics of deformation (n) and the number of eigenmodes is not affected, these analytical solutions are used to establish theoretically the number of eigenmodes for a particular earth model. It is found that a jump in density will introduce a buoyancy mode, whereas a discontinuity in the value of Maxwell time will introduce two viscoelastic (or ‘transition’) modes simultaneously. However, for an elastic lithosphere, only one extra mode is introduced. These analytical solutions also demonstrate that unstable eigenmodes exist whenever there is a density inversion. However, complex eigenmodes (which correspond to damped oscillations) are not found. Negative excitation strengths are also shown to be possible for the horizontal displacements—their magnitudes are generally small. A notable exception is when an elastic lithosphere is present, in which case the excitation strength for the dominant mode can be negative. Finally, a very simple method has been introduced to remove the problem of dense singularities during the numerical search for the eigenspectrum when the earth model is composed of a large number of uniform layers." @default.
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- W2010023265 date "1996-08-01" @default.
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- W2010023265 title "Some analytical solutions for the viscoelastic gravitational relaxation of a two-layer non-self-gravitating incompressible spherical earth" @default.
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- W2010023265 doi "https://doi.org/10.1111/j.1365-246x.1996.tb05300.x" @default.
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