Journal ArticleDOI
Reflections, rays, and reverberations
TLDR
In this paper, the connection between conventional matrix methods for layered media and the reflection and transmission properties of a single layer is established, and an iterative approach to the calculation of reflection coefficients in multilayered media is proposed.Abstract:
The connection is established between conventional matrix methods for layered media and the reflection and transmission properties of a single layer. This interrelation is then used to set up an iterative approach to the calculation of reflection and transmission coefficients in multilayered media. This approach lends itself to a ray interpretation and allows estimates of errors involved in taking truncated partial ray expansions to be made. The special effects due to a free surface are also considered.read more
Citations
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Book
The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media
TL;DR: In this article, the authors present basic tools for elasticity and Hooke's law, effective media, granular media, flow and diffusion, and fluid effects on wave propagation for wave propagation.
MonographDOI
The Rock Physics Handbook
TL;DR: The third edition of the reference book as discussed by the authors has been thoroughly updated while retaining its comprehensive coverage of the fundamental theory, concepts, and laboratory results, and highlights applications in unconventional reservoirs, including water, hydrocarbons, gases, minerals, rocks, ice, magma and methane hydrates.
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
A review of wave motion in anisotropic and cracked elastic-media
TL;DR: A review of wave propagation in anisotropic media can be found in this paper, where the authors present consistent theoretical formulations for the numerical solution of a number of propagation problems, including body and surface wave polarizations.
Journal ArticleDOI
Seismic waves in a stratified half space.
Brian Kennett,N. J. Kerry +1 more
TL;DR: In this paper, the response of a stratified elastic half space to a general source may be represented in terms of the reflection and transmission properties of the regions above and below the source.
References
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Book ChapterDOI
The Dispersion of Surface Waves on Multilayered Media
TL;DR: 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.
Journal ArticleDOI
Computation of Synthetic Seismograms with the Reflectivity Method and Comparison with Observations
Karl Fuchs,G. Müller +1 more
TL;DR: In this article, the reflectivity method for the computation of synthetic seismograms is extended to include the elastic transmission losses and time shifts due to a stack of layers on top of the reflecting medium.
Journal ArticleDOI
Propagator matrices in elastic wave and vibration problems
Freeman Gilbert,George E. Backus +1 more
TL;DR: In this paper, the boundary value problem in elastic wave propagation in stratified media is formulated in terms of a finite number of linear, first order, ordinary differential equations with variable coefficients.
Journal ArticleDOI
Computation of modal solutions in layered, elastic media at high frequencies
TL;DR: A matrix formulation is presented that avoids numerical difficulties in modal calculations of wave propagation in layered, elastic media and gives a natural decomposition of the modal solutions into source and receiver parts.
Journal ArticleDOI
The crust-mantle transition in the Bering Sea
TL;DR: In this paper, a plane layered oceanic crustal model is investigated and the De Hoop9s modification of Cagniard9s method is used to obtain the exact transient response which is convolved with the source pulse shape and the instrumental system function.