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Published September 1961 | Published
Journal Article Open

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 metal sheets where the unique axis is perpendicular to the direction of surface wave propagation and the other axes are distributed randomly in the plane of the layers. Period equations are derived for waves of Rayleigh, Stoneley, and Love types, and comparisons are made, in certain cases, with ray theoretical and plane stress solutions. Anisotropy can have a pronounced effect on both the range of existence and the shape of the dispersion curves and can lead to an apparent discrepancy between Love and Rayleigh wave data. Attention is focused in this initial paper on a single solid layer in vacuo (i.e. a free plate) and a solid layer in contact with a fluid halfspace. The single layer solutions are generalized to n-layer media by the use of Haskell matrices.

Additional Information

© 1961 American Geophysical Union. Manuscript Received: 25 MAY 1961. Contribution 1036, Division of Geological Sciences, California Institute of Technology, Pasadena, California. I wish to thank Dr. Frank Press for his advice and encouragement throughout this work, and to acknowledge helpful discussions with R. Phinney, C. Archambeau, and D. Harkrider. This research was partially supported by contract DA-04-495 Ord. 1808 (Model Seismology) of the U.S. Army Research Office, Durham, and contract AF-49(638)910 of the Air Force Technical Applications Center as part of the Advanced Research Projects Agency project Vela. I gratefully acknowledge the support of a National Science Foundation predoctoral fellowship during the course of this work.

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