Coupled Rayleigh-Love Second Modes

Crampin, Stuart

doi:10.1111/j.1365-246x.1967.tb03118.x

Cited by 19 publications

(6 citation statements)

References 20 publications

(16 reference statements)

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“…Unfortunately, there are comparatively few observations of these modes in the period range of interest (6-15 s) as they are attenuated by inhomogeneities along the path. Crampin (1967) observed such coupled motion from a Ryukyu Islands earthquake at a number of stations across Asia, but at that time the numerical calculations were not yet developed. A further study of higher mode polarization at NORSAR and at Soviet stations in Eurasia (Crampin & King 1977), now suggests aligned anisotropy beneath much of Eurasia.…”

Section: Discussionmentioning

confidence: 99%

A review of the effects of anisotropic layering on the propagation of seismic waves

1977

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Summary. This paper reviews recent work, much of it unpublished, on the effects of anisotropy on seismic waves, and lays the theoretical background for some of the other papers in this number of the Geophysical Journal. The propagation of both body and surface waves in anisotropic media is fundamentally different from their propagation in isotropic media, although the differences in behaviour may be comparatively subtle and difficult to observe. One of the most diagnostic of these anomalies, which has been observed on some surface‐wave trains, and should be evident in body‐wave arrivals, is generalized, three‐dimensional polarization, where the Rayleigh motion is coupled to the Love, and the P and SV motion is coupled to the SH. This coupling introduces polarization anomalies which may be used to investigate anisotropy within the Earth.

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Section: Discussionmentioning

confidence: 99%

A review of the effects of anisotropic layering on the propagation of seismic waves

1977

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“…Inclined-Rayleigh particle motion has been observed by Crampin (1966Crampin ( , 1967 for Second Rayleigh/Second Love modes (Third Generalized mode) over many paths across the Russian shield. The observations show many different angles of inclination as we would expect from Fig 3 and 6.…”

Section: Discussionmentioning

confidence: 99%

Distinctive Particle Motion of Surface Waves as a Diagnostic of Anisotropic Layering

Crampin

1975

Geophysical Journal International

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109

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Surface waves propagating along particular directions in anisotropic media may have one of three distinctive particle motions indicating orientations of planes of anisotropic symmetry with respect to the direction of propagation and the free surface. The particle motion of surface waves in a medium with a horizontal plane of symmetry has been observed on seismograms and used to indicate the presence of such anisotropy within the Upper Mantle.

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“…There is a mounting body of evidence for anisotropy in the upper mantle beneath the Mohorovicic discontinuity (Hess 1964;Crampin 1967;Francis 1969), but much detailed study of the propagation of surface and body waves in the Earth will be required before any estimates of the degree of anisotropy can be made.…”

Section: Surface Wave Dispersion On An Olivine Upper Mantlementioning

confidence: 99%

The Dispersion of Surface Waves in Multilayered Anisotropic Media

Crampin

1970

Geophys J Int

109

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The matrix procedure, developed by W.'T. Thompson and N. A. Haskell, to obtain the phase velocity dispersion relations for Rayleigh and Love waves in multilayered isotropic media, is extended to obtain the dispersion relation for generalized surface waves in multilayered media, where the layers may be either isotropic or anisotropic. The procedure is extended to anisotropic layers by describing the anisotropy by the fourth-rank tensor of elastic coefficients, and by reorientating the tensor so that the direction of wave propagation is along the x-axis.

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Coupled Rayleigh-Love Second Modes

Cited by 19 publications

References 20 publications

A review of the effects of anisotropic layering on the propagation of seismic waves

A review of the effects of anisotropic layering on the propagation of seismic waves

Distinctive Particle Motion of Surface Waves as a Diagnostic of Anisotropic Layering

The Dispersion of Surface Waves in Multilayered Anisotropic Media

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