Open AccessRay‐mode duality for SH waves in earth models with crust and mantle discontinuities—I. The case of one discontinuity
Author(s) -
Wang C.,
Cleary J. R.,
Anderssen R. S.
Publication year - 1978
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.1978.tb04261.x
Subject(s) - classification of discontinuities , discontinuity (linguistics) , overtone , geology , crust , mantle (geology) , seismogram , duality (order theory) , geophysics , core–mantle boundary , mathematical analysis , geometry , physics , mathematics , seismology , spectral line , pure mathematics , astronomy
Summary. The method of phase correlation devised by Brune for the evaluation of overtone eigenfrequencies of the Earth from body‐wave data involves the explicit use of a ray‐mode duality for strictly continuous earth models. Consequently, investigation of the application of the ray‐mode duality approach to models containing discontinuities is desirable. McNabb, Anderssen & Lapwood have obtained an equation for the behaviour of overtone eigenfrequencies from discontinuous earth models. By means of a novel method for the decomposition of multiply‐reflected body waves, it can be shown that, for earth models with a single discontinuity between the surface and the core—mantle boundary, the McNabb et al. formulation can be derived from an adaptation of Brune's formula to multiply‐reflected SH body waves at small epicentral distances. This establishes a basis for a ray‐mode duality for models with a single discontinuity.