Scattering of Rayleigh waves by a shallow circular alluvial valley: High-frequency solution

A high-frequency analytical solution for scattering of Rayleigh waves by a shallow circular alluvial valley was derived using wave function expansion method, and the solution was utilized to analyze the effects of incident frequency, width of the valley, and depth of the valley, etc, on the wave sca...

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Bibliographic Details
Published inActa seismologica sinica Vol. 19; no. 2; pp. 183 - 190
Main Authors Liang, Jian-wen, Zhang, Qiu-hong, Li, Fang-jie
Format Journal Article
LanguageEnglish
Chinese
Published Beijing Springer Nature B.V 01.03.2006
Department of Civil Engineering, Tianjin University, Tianjin 300072, China
Subjects
Alluvium
Amplitudes
Displacement
Mathematical analysis
Mathematical models
Rayleigh waves
Scattering
Studies
Valleys
Wave functions
analytical solution
alluvial valley
scattering
Rayleigh waves
high-frequency
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Summary:A high-frequency analytical solution for scattering of Rayleigh waves by a shallow circular alluvial valley was derived using wave function expansion method, and the solution was utilized to analyze the effects of incident frequency, width of the valley, and depth of the valley, etc, on the wave scattering. Numerical results showed that, because of the alluvial valley, the distribution of surface displacement at the side where wave arrives becomes relatively complicated, but the displacement amplitude is not large; the distribution of the surface displacement at far side is relatively simple, but the displacement amplitude is relatively large, and in most cases the amplitude is larger than that at the alluvium.
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ISSN:1000-9116
1674-4519
1867-8777
1993-1344
DOI:10.1007/s11589-002-0183-y