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Elastic Wave Propagation in Layered Anisotropic Media

Anderson, Don L. (1961) Elastic Wave Propagation in Layered Anisotropic Media. Journal of Geophysical Research, 66 (9). pp. 2953-2963. ISSN 0148-0227. doi:10.1029/JZ066i009p02953. https://resolver.caltech.edu/CaltechAUTHORS:20140507-125219883

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Abstract

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.


Item Type:Article
Related URLs:
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http://dx.doi.org/10.1029/JZ066i009p02953DOIArticle
http://onlinelibrary.wiley.com/doi/10.1029/JZ066i009p02953/abstractPublisherArticle
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.
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)DA-04-495 Ord. 1808
Advanced Research Projects Agency (ARPA)AF-49(638)910
NSF Predoctoral FellowshipUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Caltech Division of Geological Sciences1036
Issue or Number:9
DOI:10.1029/JZ066i009p02953
Record Number:CaltechAUTHORS:20140507-125219883
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140507-125219883
Official Citation:Anderson, D. L. (1961), Elastic wave propagation in layered anisotropic media, J. Geophys. Res., 66(9), 2953–2963, doi:10.1029/JZ066i009p02953.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45576
Collection:CaltechAUTHORS
Deposited By: Aucoeur Ngo
Deposited On:07 May 2014 20:06
Last Modified:10 Nov 2021 17:14

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