Long-Wave Elastic Anisotropy Produced by Horizontal Layering

@article{Backus1962LongWaveEA,
  title={Long-Wave Elastic Anisotropy Produced by Horizontal Layering},
  author={George Backus},
  journal={Journal of Geophysical Research},
  year={1962},
  volume={67},
  pages={4427-4440}
}
  • G. Backus
  • Published 1 October 1962
  • Geology
  • Journal of Geophysical Research
A horizontally layered inhomogeneous medium, isotropic or transversely isotropic, is considered, whose properties are constant or nearly so when averaged over some vertical height l′. For waves longer than l′ the medium is shown to behave like a homogeneous, or nearly homogeneous, transversely isotropic medium whose density is the average density and whose elastic coefficients are algebraic combinations of averages of algebraic combinations of the elastic coefficients of the original medium… 

ANISOTROPIC Q AND VELOCITY DISPERSION OF FINELY LAYERED MEDIA1

When a seismic signal propagates through a finely layered medium, there is anisotropy if the wavelengths are long enough compared to the layer thicknesses. It is well known that in this situation,

Anisotropic parameters of layered media in terms of composite elastic properties

In elastic earth models, at a wide variety of scales, the subsurface is a layered sequence of different constituent media. It is therefore important to understand the elastic properties of such a

SYSTEMATIC CLASSIFICATION OF LAYER‐INDUCED TRANSVERSE ISOTROPY*

Waves propagating through a sequence of layers that are thin compared with the wavelength show effects of anisotropy: velocity and displacement direction depend on the angle between the plane of

Long-wave anisotropy in stratified media: A numerical test

When a seismic signal propagates in a stratified earth, there is anisotropy if the dominant wavelength is long enough compared to the layer thickness. In this situation, the layered medium can be

Propagation of Waves With Long-Wavelength In Thinly Layered And Cracked Media

-------___--__ _.__~ ..__. ._ SUMMARY an homogeneous transversely isotropic medium for Some heterogeneous materials, such as thinly long-wavelengths. To determine from which layered or cracked media,

Intrinsic anisotropy and thin multilayering—two anisotropy effects combined

SUMMARY Elastic wave propagation in1-D randomly layered media is characterized by frequencydependent anisotropy. We study the transmission of obliquely incident plane qP and qSV waves propagating

Quantitative Analysis of Fine Layering Effects: Medium Averaging Versus Synthetic Seismograms

The effects of fine layering on seismic wave propagation predicted by the long wavelength equivalent medium theory are compared with the computations from synthetic seismograms. Results are in

Reflection and transmission responses for layered transversely isotropic media with vertical and horizontal symmetry axes

Reflection and transmission (R/T) responses characterize the energy distributions for incident and generated waves across the subsurface interface. The R/T coefficients are considerably influenced by
...

References

SHOWING 1-10 OF 13 REFERENCES

Elastic wave propagation in layered anisotropic media

This is an analysis of the dispersive properties of transversely isotropic media. This kind of anisotropy is exhibited by hexagonal crystals, sediments, planar igneous bodies, ice sheets, and rolled

Elastic Wave Velocities in Laminated Media

The velocity of elastic waves traveling parallel and perpendicular to the layering in a laminated medium has been determined by means of static elasticity. The procedure is to assume the medium to be

The Dispersion of Surface Waves on Multilayered 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

VELOCITY ANISOTROPY IN STRATIFIED MEDIA

The phenomenon of velocity anisotropy in stratified rocks has been observed in surface outcrops by McCollum (1932), Weatherby (1934), Ricker (1953), White and Sengbush (1953), and their associates.

The Seismological Implications of Aeolotropy in Continental Structure

Summary The seismological consequences of a departure from isotropy in the surface layers of the Earth are discussed. It is noted that erroneous values of the focal depth and the thickness of the

Transmission of Elastic Waves through a Stratified Solid Medium

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

CONTINUOUS VELOCITY LOGGING

A method for obtaining a continuous well log of formation acoustic compressional velocity is described. The instrument is composed of an acoustic pulse generator separated from a receiver by a

Sur les équations différentielles linéaires à coefficients périodiques

© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1883, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www.

Wave propagation in a stratified medium

A periodic structure consisting of alternating plane, parallel, isotropic, and homogeneous elastic layers can be replaced by a homogeneous, transversely isotropic material as far as its gross‐scale

Parametrische Darstellung der elastischen Wellen in anisotropischen Medien

  • 1911