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On seismic rays and waves (Part One)

Fu, C. Y. (1947) On seismic rays and waves (Part One). Bulletin of the Seismological Society of America, 37 (4). pp. 331-346. ISSN 0037-1106. https://resolver.caltech.edu/CaltechAUTHORS:20140731-155231534

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Abstract

The equations of motion of an elastico-viscous medium in which the material constants vary with position are deduced. These can be put into the form of a wave equation only when the gradients of the constants are small. By the method of Sommerfeld and Runge these equations are compared with the equation of the characteristic function, whence the condition for the validity of the ray method is obtained. It is similar to De Broglie's criterion in wave mechanics. Expressed in terms of measurable quantities in seismology, the condition is applied to the data recently obtained by Gutenberg for the upper layers of the earth's crust. The equation of the characteristic function is used in deriving the forms of the ray paths for several particular velocity functions, following a method previously used by Epstein.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://bssa.geoscienceworld.org/content/37/4/331.full.pdf+htmlPublisherArticle
Additional Information:Copyright © 1947, by the Seismological Society of America. Manuscript received for publication April 7, 1947.
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Balch Graduate School of the Geological Sciences Contribution381
Issue or Number:4
Record Number:CaltechAUTHORS:20140731-155231534
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140731-155231534
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47745
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:01 Aug 2014 14:35
Last Modified:03 Oct 2019 06:56

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