Open AccessBody waves in a weakly anisotropic medium—I. Plane waves
Author(s) -
Kiselev Alexei P.
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.tb03971.x
Subject(s) - anisotropy , isotropy , polarization (electrochemistry) , physics , homogeneous , wave propagation , perturbation (astronomy) , plane wave , classical mechanics , transverse plane , transverse wave , love wave , transverse isotropy , mechanical wave , longitudinal wave , computational physics , mechanics , geophysics , optics , statistical physics , quantum mechanics , chemistry , structural engineering , engineering
SUMMARY A systematic perturbation approach to elastic‐wave processes in a weakly anisotropic medium is discussed. As a simple practical example, the propagation of plane waves in a homogeneous medium is considered in detail. The limitations of perturbation theory are described. The second‐order corrections for velocity and polarization are found in the case of general weak anisotropy. The particular case of transverse isotropy is considered.