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Model studies on the effect of a sloping interface on Rayleigh waves

1963; American Geophysical Union; Volume: 68; Issue: 22 Linguagem: Inglês

10.1029/jz068i022p06187

2156-2202

John T. Kuo, George A. Thompson,

Seismic Imaging and Inversion Techniques

Journal of Geophysical Research (1896-1977)Volume 68, Issue 22 p. 6187-6197 Model studies on the effect of a sloping interface on Rayleigh waves John T. Kuo, John T. KuoSearch for more papers by this authorGeorge A. Thompson, George A. ThompsonSearch for more papers by this author John T. Kuo, John T. KuoSearch for more papers by this authorGeorge A. Thompson, George A. ThompsonSearch for more papers by this author First published: 15 November 1963 https://doi.org/10.1029/JZ068i022p06187Citations: 20AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract Seismic models were studied to determine the effect of a sloping interface on the propagation of Rayleigh waves. The two-dimensional model, 1/16 inch thick, consisted of a plexiglass surface layer and a panelyte half-space. The surface layer ranged from ¼ to ¾ inch in width with a dip of approximately 2½°. When the variation in layer thickness is linear and gradual, a region of sloping interface (or a wedge-shaped structure sufficiently remote from its vertex) may be represented to a good approximation by an infinite number of stepped flat layers. The phase velocity of Rayleigh waves determined from a pair of adjacent stations in the region of sloping interface is an ‘effective phase velocity.’ As the distance between the stations approaches zero, the effective phase velocity approaches a limiting value defined as local phase velocity/which is independent of the direction of wave propagation. Outside the region of sloping interface and away from the points of discontinuous slope change, the Rayleigh wave velocities are those appropriate for the flat layer thicknesses; they seem to be unaffected by the nearby sloping interface. As an example, the phase velocities of Rayleigh waves for a generalized crust-mantle structure with a sloping interface are given. References Brekhovskikh, L. M., Waves in Layered Media, 561, Academic Press, New York, 1960. De Bremaecker, J. C., Transmission and reflection of Rayleigh waves at corners, Geophysics, 23, 253–266, 1958. DeNoyer, J., The effect of variation in layer thickness on Love waves, Bull. Seismol. Soc. Am., 51, 227–236, 1961. Ewing, M., W. Jardetzky, F. Press, Elastic Waves in Layered Media, 380, McGraw-Hill Book Company, New York, 1957. Homma, S., Love waves in a surface layer of varying thickness, Geophys. Mag., Tokyo, 24, 9–14, 1952. Jeffreys, H., The surface waves of earthquakes, Monthly Notices Roy. Astron. Soc., Geophys. Suppl., 3, 253–261, 1935. Kuo, J., J. Nafe, Period equation of Rayleigh waves in a layer overlying a half-space with a sinusoidal interface, Bull. Seismol. Soc. Am., 52, 807–822, 1962. Nafe, J., J. Brune, Observations of phase velocity for Rayleigh waves in the period range 100 to 400 seconds, Bull. Seismol. Soc. Am., 50, 427–439, 1960. Nagumo, S., Elastic wave propagation in a liquid layer overlying the sloping rigid bottom, Zisin, 14, 189–197, 1961. Oliver, J., Elastic wave dispersion in a cylindrical rod by a wide-band short duration pulse technique, J. Acoust. Soc. Am., 29, 189–194, 1957. Oliver, J., F. Press, M. Ewing, Two-dimensional model seismology, Geophysics, 19, 202–219, 1954. Citing Literature Volume68, Issue2215 November 1963Pages 6187-6197 ReferencesRelatedInformation