Open AccessElastic wave propagation in a radially anisotropic medium
Author(s) -
Boström A.,
Johansson M.,
Svedberg T.
Publication year - 1994
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.1994.tb03972.x
Subject(s) - anisotropy , isotropy , physics , wave propagation , point source , shear (geology) , singularity , shear waves , scattering , optics , isotropic solid , plane wave , mechanics , classical mechanics , computational physics , geometry , geology , petrology , mathematics
SUMMARY The 2‐D propagation of horizontally polarized shear waves in a type of radially anisotropic elastic medium is considered. The shear moduli and the wave speeds are different in the radial and angular directions and the medium is thus both anisotropic and inhomogeneous, with a material singularity at the origin. Two simple wave‐propagation problems are considered: radiation by a point source in an unbounded radially anisotropic medium, and the scattering of a plane wave by a radially anisotropic disc in an isotropic surrounding. The results are displayed by contour plots of the displacement field in the vicinity of the point source or the disc. Results for both time‐harmonic disturbances and pulses are given. The most striking feature of the results is the focusing in the radial direction of the radiation from the point source that appears when the radial wave speed is greater than the angular one.