@Article{IJNAM-12-2,
author = {},
title = {On the Comparison of Properties of Rayleigh Waves in Elastic and Viscoelastic Media},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2015},
volume = {12},
number = {2},
pages = {254--267},
abstract = {<p style="text-align: justify;">Dispersion properties of Rayleigh-type surface waves are widely used in environmental 
and engineering geophysics to image and characterize a shallow subsurface. In this paper, we
numerically study the Rayleigh-type surface waves and their properties in 2D viscoelastic media.
A finite difference method in a time-space domain is proposed, with an unsplit convolutional
perfectly matched layer (C-PML) absorbing boundary condition. For two models that have analytical 
expressions of wave fields/dispersion curves, we calculate their wave fields and compare the
analytical and numerical solutions to demonstrate the validity of this method. For the case where
a medium has a high Poisson&#39;s ratio, say 0.49, traditional finite difference methods with a PML
boundary condition are not stable when modeling Rayleigh waves but the proposed method is stable. 
For a laterally heterogeneous viscoelastic media model (Model 1) and a two-layer viscoelastic
media model (Model 2) with a cavity, we use this method to obtain their corresponding Rayleigh
waves. For several quality factors, the dispersion properties of these Rayleigh waves are analyzed.
The results of Model 1 show that in a shallow subsurface, the phase velocity of a fundamental
mode of the Rayleigh waves increases considerably with a quality factor $Q$ decreasing; the phase
velocity increases with Poisson&#39;s ratio increasing. The results of Model 2 indicate that the energy
of higher modes of the Rayleigh waves become strong when $Q$ decreases.</p>},
issn = {2617-8710},
doi = {https://doi.org/2015-IJNAM-487},
url = {https://global-sci.com/article/83286/on-the-comparison-of-properties-of-rayleigh-waves-in-elastic-and-viscoelastic-media}
}