Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006geoji.167....1w&link_type=abstract
Geophysical Journal International, Volume 167, Issue 3, pp. 1-19.
Astronomy and Astrophysics
Astronomy
Analytical Approach, Dislocation, Normal Modes, Toroidal Relaxation, Viscoelasticity
Scientific paper
This paper is concerned with post-seismic toroidal deformation in a spherically symmetric, non-rotating, linear-viscoelastic, isotropic Maxwell earth model. Analytical expressions for characteristic relaxation times and relaxation strengths are found for viscoelastic toroidal deformation, associated with surface tangential stress, when there are two to five layers between the core-mantle boundary and Earth's surface. The multilayered models can include lithosphere, asthenosphere, upper and lower mantles and even low-viscosity ductile layer in the lithosphere. The analytical approach is self-consistent in that the Heaviside isostatic solution agrees with fluid limit. The analytical solution can be used for high-precision simulation of the toroidal relaxation in five-layer earths and the results can also be considered as a benchmark for numerical methods. Analytical solution gives only stable decaying modes-unstable mode, conjugate complex mode and modes of relevant poles with orders larger than 1, are all excluded, and the total number of modes is found to be just the number of viscoelastic layers between the core-mantle boundary and Earth's surface-however, any elastic layer between two viscoelastic layers is also counted. This confirms previous finding where numerical method (i.e. propagator matrix method) is used. We have studied the relaxation times of a lot of models and found the propagator matrix method to agree very well with those from analytical results. In addition, the asthenosphere and lithospheric ductile layer are found to have large effects on the amplitude of post-seismic deformation. This also confirms the findings of previous works.
Wang Hansheng
Wu Patrick
No associations
LandOfFree
Analytical approach for the toroidal relaxation of viscoelastic earth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Analytical approach for the toroidal relaxation of viscoelastic earth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical approach for the toroidal relaxation of viscoelastic earth will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-905734