Open AccessTheory and Computation of Amplitudes of Terrestrial Line Spectra
Author(s) -
BenMenahem Ari,
Israel Moshe,
Levité Uri
Publication year - 1971
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1971.tb02194.x
Subject(s) - amplitude , computation , geology , dislocation , line (geometry) , spectral line , earth model , toroid , physics , geophysics , surface (topology) , geometry , computational physics , seismology , geodesy , mathematics , optics , quantum mechanics , condensed matter physics , plasma , algorithm
Summary Universal tables for spectral line amplitudes of surface displacements and strains of a gravitating radially‐heterogeneous earth, have been prepared. Given a structural model and a dislocation source of arbitrary orientation and depth, spheroidal and toroidal line‐amplitudes are calculable for l < 100, n < 4 everywhere on the Earth's surface. Using the observations of Benioff, Press & Smith and Nowroozi following the Chile earthquake of 1960 May 22, and the Alaskan earthquake of 1964 March 28, we have shown: (1) The combination of realistic earth models (such as the Jeffreys‐Bullen model or the Gutenberg‐Bullard model) together with finite dislocation source models, produce theoretical displacements and strains that match the observations. (2) The theoretical calculations of the spectral line amplitudes can be used as an additional tool for the investigation of earthquake source‐mechanism and the infra‐structure of the Earth's interior.