
Research Note the Matrix Element For A Transversely Isotropic Earth Model
Author(s) -
Shibata Naoki,
Suda Naoki,
Fukao Yoshio
Publication year - 1990
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1990.tb02488.x
Subject(s) - transverse isotropy , isotropy , earth model , earth (classical element) , hydrostatic equilibrium , matrix (chemical analysis) , coupling (piping) , geology , element (criminal law) , geophysics , physics , geometry , mathematics , materials science , optics , composite material , mathematical physics , quantum mechanics , political science , law
SUMMARY The matrix element, which is necessary for evaluating the effect of aspherical perturbations on the splitting and coupling of modes of the Earth's free oscillations, is derived for a transversely isotropic earth model. the terms associated with the hydrostatic ellipticity are expressed in a form which does not include the derivatives of model parameters. It is also shown that the previous results for the isotropic case equire some corrections.