Open AccessLove and Rayleigh waves in non‐uniform media
Author(s) -
BenHador Ronen,
Buchen Peter
Publication year - 1999
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 - 10.1046/j.1365-246x.1999.00790.x
Subject(s) - wavenumber , rayleigh wave , love wave , phase velocity , perturbation (astronomy) , amplitude , rayleigh scattering , wavelength , mathematical analysis , dispersion relation , physics , mathematics , classical mechanics , wave propagation , group velocity , mechanical wave , optics , longitudinal wave , quantum mechanics
Summary This paper is concerned with the dispersion of Love and Rayleigh waves in multilayered models with smooth and weakly non‐parallel boundaries. Perturbation formulae for the phase, frequency, wavenumber, phase velocity, group velocity and amplitude are derived from first‐order perturbation theory of Whitham’s equation for dispersive waves in non‐uniform media. Derivation of the average Lagrangian for Love and Rayleigh waves is obtained as required by the perturbation formulae. Explicit formulae are given for Love waves in the long‐wavelength limit and comparisons with related studies are made. In order to demonstrate the results, numerical calculations for the perturbation in frequency, wavenumber, amplitude and phase are performed. The models consist of non‐uniform media of one and two layers over a half‐space. The perturbed parameter is the layer depth, sampled at different locations.