Open AccessAnisotropic tomography of P ‐wave traveltimes
Author(s) -
Mochizuki E.
Publication year - 1995
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.1995.tb06677.x
Subject(s) - isotropy , anisotropy , perturbation (astronomy) , euler's formula , euler angles , tomography , mathematical analysis , rotation (mathematics) , physics , seismic tomography , mathematics , classical mechanics , geometry , optics , quantum mechanics
The ray path of a P ‐wave is specified in terms of the ray parameter and three Euler angles. the P ‐wave traveltime depends only on the ray parameter for a spherically symmetric earth. If we introduce an aspherical perturbation, including general ani‐sotropy, the dependence on Euler angles can be expanded in terms of the rotation matrix for a fixed ray parameter. If the perturbation is isotropic, the expansion coefficients satisfy certain relations which may be used to obtain definite evidence for anisotropy rather than isotropic lateral heterogeneity.