Physics
Scientific paper
Oct 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982pepi...30....1o&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 30, Issue 1, p. 1-11.
Physics
11
Scientific paper
A study is conducted of the asymptotic behavior of the gravity modes of an incompressible spherical oceanic layer, surrounding a rigid Earth, as its radius goes to infinity. The flat-layered Earth dispersion relation c=sqrt(gh) for the phase velocity of the tsunami wave is derived, and the existence of only one branch of tsunami modes is proved, a result fundamental for the use of mode theory in marigram synthesis. Studied further are the influence of such parameters as finite incompressibility in the ocean, and finite rigidity of the ocean floor, on the dispersion of tsunami modes, both theoretically and numerically for a number of models. It is concluded that for all physically acceptable models of both the ocean and its floor, tsunami dispersion is not significantly affected by either. This includes in particular the case of a sedimentary layer, which is found to have no effect on tsunami propagation. The maximum (and extremely small) rigidity allowed in the fluid before the tsunami modes disappear is also derived.
No associations
LandOfFree
Mode-wave equivalence and other asymptotic problems in tsunami theory 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 Mode-wave equivalence and other asymptotic problems in tsunami theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mode-wave equivalence and other asymptotic problems in tsunami theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1032100