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Book ChapterDOI

The Dispersion of Surface Waves on Multilayered Media

Norman A. Haskell
- 01 Jan 1953 - 
- Vol. 43, Iss: 1, pp 17-34
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TLDR
In this paper, a matrix formalism developed by W. T. Thomson is used to obtain the phase velocity dispersion equations for elastic surface waves of Rayleigh and Love type on multilayered solid media.
Abstract
A matrix formalism developed by W. T. Thomson is used to obtain the phase velocity dispersion equations for elastic surface waves of Rayleigh and Love type on multilayered solid media. The method is used to compute phase and group velocities of Rayleigh waves for two assumed three-layer models and one two-layer model of the earth9s crust in the continents. The computed group velocity curves are compared with published values of the group velocities at various frequencies of Rayleigh waves over continental paths. The scatter of the observed values is larger than the difference between the three computed curves. It is believed that not all of this scatter is due to observational errors, but probably represents a real horizontal heterogeneity of the continental crusts.

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Citations
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Journal ArticleDOI

Long-Wave Elastic Anisotropy Produced by Horizontal Layering

TL;DR: In this article, a horizontally layered inhomogeneous medium is considered, whose properties are constant or nearly so when averaged over some vertical height l′, and conditions on the five elastic coefficients of a homogeneous transversely isotropic medium are derived which are necessary and sufficient for the medium to be "long-wave equivalent" to a horizontally-layered inhomogenous medium.
Journal ArticleDOI

Estimation of near‐surface shear‐wave velocity by inversion of Rayleigh waves

TL;DR: In this paper, an iterative solution technique to the weighted equation proved very effective in the high frequency range when using the Levenberg-Marquardt and singular value decomposition techniques.
Journal ArticleDOI

Geophysical inversion with a neighbourhood algorithm—I. Searching a parameter space

TL;DR: In this article, a derivative-free search method for finding models of acceptable data fit in a multidimensional parameter space is presented, which falls into the same class of method as simulated annealing and genetic algorithms, which are commonly used for global optimization problems.
Book

Seismic Wave Propagation in Stratified Media

TL;DR: In this paper, the authors focus on elastic wave propagation in stratified media and show how the excitation of elastic waves, within a horizontally stratified structure, can be conveniently developed in terms of reflection and transmission matrices.
Journal ArticleDOI

Ground-motion characteristics estimated from spectral ratio between horizontal and vertical components of microtremor

TL;DR: In this article, the spectral ratio between horizontal and vertical components (H/V) of microtremors measured at the ground surface has been used to estimate fun-damental periods and amplification factors of a site.
References
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Journal ArticleDOI

Transmission of Elastic Waves through a Stratified Solid Medium

TL;DR: In this article, the transmission of a plane elastic wave at oblique incidence through a stratified solid medium consisting of any number of parallel plates of different material and thickness is studied theoretically.
Journal ArticleDOI

Elastic Waves at the Surface of Separation of Two Solids

TL;DR: In this article, the possibility of the existence of a seismic disturbance along the junction of strata, or within a certain stratum, so that the energy is dissipated by internal viscosity without the occurrence of any appreciable surface displacement is investigated.