Open AccessSurface Rayleigh-Lamb waves in stratified substrate
Author(s) -
Anna Avershyeva
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/869/5/052028
Subject(s) - rayleigh wave , rayleigh scattering , crust , geophysics , surface wave , geology , love wave , dispersion (optics) , lamb waves , wave propagation , mechanics , longitudinal wave , mechanical wave , optics , physics
Propagation of Rayleigh - Lamb waves has shortage of theoretical studies and demands in deeper analyses. Understanding the process of propagation of Rayleigh-Lamb waves depending on the geometrical and acoustical properties of the individual layers within the Earth’s crust is of great importance for the NDT of Earth exploration and development of seismic protection of buildings and structures. Propagation of these waves in the Earth’s crust upper layers is studied by analytical methods. A mathematical model for analyzing Rayleigh -Lamb waves propagating in stratified media is worked out. The analytical solution is constructed using Cauchy complex formalism and the method called Modified Transfer Matrix (MTM). As an example a multilayer system modeling the Earth’s crust, consisting of sedimentary rocks, a layer of granite, basalt and mantle, is considered. Equation for dispersion relations is derived. Fundamental modes of the dispersion curves for a stratified media are obtained.