Doctoral Dissertations
Abstract
"Transient spherical waves in a generalized Voigt model were investigated in this study. Both Laplace and fourier transform solutions of the spherical wave equation for a generalized Voigt model were obtained by means of the correspondence principle. Laplace transform solutions were inverted numerically into the domain for the study of the characteristics of the wave forms, and Fourier transform solutions were utilized for the analysis of frequency dependency attenuation in the models. Generalized Voigt models A and B in which a dashpot is connected in series with spring and dashpot components were unable to represent a solid which would simulate the real waves. The spherical wave parameters in the 4-element and 6-element models were shown to correlate with real waves as to wave shape and the r ate of attenuation of peak values at very short distances from the source. The major difference between real waves and the spherical waves of these models was the instantaneous arrival time in the latter as opposed to the much later arrival of real waves. A study of the dependency of attenuation on frequency in the 4-element and 6-element models was made. If a choice of the damping coefficients of the models is made, an attenuation exponent results which approximately a linear function of frequency range of seismic work. This is comparable with some published data"--Abstract, page ii.
Advisor(s)
Rechtien, Richard Douglas
Committee Member(s)
Clark, George Bromley, 1912-
Zenor, Hughes M., 1908-2001
Rupert, Gerald B., 1930-2016
Beveridge, Thomas R. (Thomas Robinson), 1918-1978
Wesley, James Paul
Department(s)
Geosciences and Geological and Petroleum Engineering
Degree Name
Ph. D. in Geophysics
Publisher
University of Missouri--Rolla
Publication Date
1969
Pagination
xvi, 169 pages
Note about bibliography
Includes bibliographical references (pages 136-141).
Rights
© 1969 Liang-Juan Tsay, All rights reserved.
Document Type
Dissertation - Open Access
File Type
text
Language
English
Subject Headings
Seismic waves
Seismic waves -- Mathematical models
Elastic wave propagation
Transients (Dynamics)
Thesis Number
T 2305
Print OCLC #
6013229
Electronic OCLC #
841389222
Link to Catalog Record
Recommended Citation
Tsay, Liang-Juan, "A five parameter study of spherical transient waves in a generalized Voigt model" (1969). Doctoral Dissertations. 2103.
https://scholarsmine.mst.edu/doctoral_dissertations/2103