"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.
Rechtien, Richard Douglas
Clark, George Bromley, 1912-
Zenor, Hughes M., 1908-2001
Rupert, Gerald B., 1930-2016
Beveridge, Thomas R. (Thomas Robinson), 1918-1978
Wesley, James Paul
Geosciences and Geological and Petroleum Engineering
Ph. D. in Geophysics
University of Missouri--Rolla
xvi, 169 pages
© 1969 Liang-Juan Tsay, All rights reserved.
Dissertation - Open Access
Library of Congress Subject Headings
Seismic waves -- Mathematical models
Elastic wave propagation
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Tsay, Liang-Juan, "A five parameter study of spherical transient waves in a generalized Voigt model" (1969). Doctoral Dissertations. 2103.