Open AccessA solution of the elastodynamic equation in an anelastic earth model
Author(s) -
AlAttar David
Publication year - 2007
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.2007.03517.x
Subject(s) - eigenfunction , relaxation (psychology) , rotation (mathematics) , earth's rotation , earth model , mathematical analysis , earth (classical element) , classical mechanics , mathematics , physics , geology , geophysics , geometry , geodesy , eigenvalues and eigenvectors , mathematical physics , psychology , social psychology , quantum mechanics
SUMMARY A formal solution to the elastodynamic equation in an anelastic earth model is presented. The derivation also incorporates the effects of aspherical structure, rotation, self‐gravitation, and pre‐stress. It is found that the solution can be expressed as a sum of the normal modes of the earth model along with additional terms accounting for anelastic relaxation processes. However, the derivation does not assume that such an eigenfunction expansion is possible, and so avoids difficulties previously encountered due to the non self‐adjointness of the problem.