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Book Chapter

Elastic Wave Velocities in Laminated Media

By
J. E. White
J. E. White
Fidd Research Laboratories, Magnolia Petroleum Company, Dallas, Texas (Received October 5, 1954)
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F. A. Angona
F. A. Angona
Fidd Research Laboratories, Magnolia Petroleum Company, Dallas, Texas (Received October 5, 1954)
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Published:
January 01, 2000
Publication history
05 October 1954

Abstract

The velocities of elastic waves in a laminated medium have been determined by calculating the effective elastic parameters and the effective density. The procedure is to assume the medium to be in static equilibrium and exposed to certain stresses. The stresses are of such a nature as to generate strains similar to those which would exist during the passage of an elastic wave through the medium. From the application of Hooke’s law, an effective stiffness constant for the medium is obtained. The ratio of this effective stiffness to the effective density is the square of the velocity of the elastic wave. For a medium consisting of layers of two materials with the same density but with a velocity contrast of two (2), the velocity of compressional waves traveling parallel to the layering is 20 percent higher than the velocity of the same wave traveling perpendicular to the layers. The SB shear wave has a velocity which is 25 percent higher than the SV shear wave for the same laminated medium.

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Contents

Society of Exploration Geophysicists Geophysics Reprint Series

Seismic Wave Propagation: Collected Works of J. E. White

J. E. White
J. E. White
Professor Emeritus, Colorado School of Mines
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Society of Exploration Geophysicists
Volume
21
ISBN electronic:
9781560802471
Publication date:
January 01, 2000

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