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Bulletin of the Seismological Society of America; January 1953; v. 43; no. 1; p. 17-34
© 1953 Seismological Society of America
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The dispersion of surface waves on multilayered media*

N. A. HASKELL

GEOPHYSICS RESEARCH DIRECTORATE AIR FORCE CAMBRIDGE RESEARCH CENTER

Abstract

A matrix formalism developed by W. T. Thomson is used to obtain the phase velocity dispersion equations for elastic surface waves of Rayleigh and Love type on multilayered solid media. The method is used to compute phase and group velocities of Rayleigh waves for two assumed three-layer models and one two-layer model of the earth's crust in the continents. The computed group velocity curves are compared with published values of the group velocities at various frequencies of Rayleigh waves over continental paths. The scatter of the observed values is larger than the difference between the three computed curves. It is believed that not all of this scatter is due to observational errors, but probably represents a real horizontal heterogeneity of the continental crusts.

Footnotes

* Manuscript received for publication June 5, 1951.




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W. SILVA
Body waves in a layered anelastic solid
Bulletin of the Seismological Society of America, October 1, 1976; 66(5): 1539 - 1554.
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B. J. MITCHELL, L. W. B. LEITE, Y. K. YU, and R. B. HERRMANN
Attenuation of Love and Rayleigh waves across the Pacific at periods between 15 and 110 seconds
Bulletin of the Seismological Society of America, August 1, 1976; 66(4): 1189 - 1202.
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W. B. JOYNER, R. E. WARRICK, and A. A. OLIVER III
Analysis of seismograms from a downhole array in sediments near San Francisco Bay
Bulletin of the Seismological Society of America, June 1, 1976; 66(3): 937 - 958.
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L. J. KATZ
Microtremor analysis of local geological conditions
Bulletin of the Seismological Society of America, February 1, 1976; 66(1): 45 - 60.
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J. R. MURPHY and R. A. HEWLETT
Analysis of seismic response in the city of Las Vegas, Nevada: A preliminary microzonation
Bulletin of the Seismological Society of America, December 1, 1975; 65(6): 1575 - 1597.
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W. L. RODI, P. GLOVER, T. M. C. LI, and S. S. ALEXANDER
A fast, accurate method for computing group-velocity partial derivatives for Rayleigh and Love modes
Bulletin of the Seismological Society of America, October 1, 1975; 65(5): 1105 - 1114.
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W. B. JOYNER and A. T. F. CHEN
Calculation of nonlinear ground response in earthquakes
Bulletin of the Seismological Society of America, October 1, 1975; 65(5): 1315 - 1336.
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L. W. BRAILE and G. R. KELLER
Fine structure of the crust inferred from linear inversion of Rayleigh-wave dispersion
Bulletin of the Seismological Society of America, February 1, 1975; 65(1): 71 - 83.
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L. S. LEONG
Crustal structure of the Baltic Shield beneath Umea, Sweden, from the spectral behavior of long-period P waves
Bulletin of the Seismological Society of America, February 1, 1975; 65(1): 113 - 126.
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B. L. N. KENNETT
Reflections, rays, and reverberations
Bulletin of the Seismological Society of America, December 1, 1974; 64(6): 1685 - 1696.
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S. GREGERSEN and L. E. ALSOP
Amplitudes of horizontally refracted Love waves
Bulletin of the Seismological Society of America, June 1, 1974; 64(3-1): 535 - 553.
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J. ANDERSON and J. DORMAN
Local geological effects on short-period Rayleigh waves around New York City
Bulletin of the Seismological Society of America, August 1, 1973; 63(4): 1487 - 1497.
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E. KAUSEL and F. SCHWAB
Contributions to love-wave transformation theory: Earth-flattening transformation for love waves from a point source in a sphere
Bulletin of the Seismological Society of America, June 1, 1973; 63(3): 983 - 993.
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F. SCHWAB and L. KNOPOFF
Love waves and the torsional free modes of a multilayered anelastic sphere
Bulletin of the Seismological Society of America, June 1, 1973; 63(3): 1107 - 1117.
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R. P. MASSE, D. G. LAMBERT, and D. G. HARKRIDER
Precision of the determination of focal depth from the spectral ratio of Love/Rayleigh surface waves
Bulletin of the Seismological Society of America, February 1, 1973; 63(1): 59 - 100.
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L. A. DRAKE
Rayleigh waves at a continental boundary by the finite element method
Bulletin of the Seismological Society of America, October 1, 1972; 62(5): 1259 - 1268.
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R. M. LASTRICO, C. M. DUKE, and Y. OHTA
Effects of site and propagation path on recorded strong earthquake motions
Bulletin of the Seismological Society of America, August 1, 1972; 62(4): 933 - 954.
[Abstract] [PDF]




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