Limits of transversely isotropic elastic parameters for the existence of classical Rayleigh waves

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• 作者：S. N. Bhattacharya
• 关键词：Computation of Rayleigh wave dispersion
• 刊名：Journal of Seismology
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：21
• 期：1
• 页码：237-241
• 全文大小：
• 刊物类别：Earth and Environmental Science
• 刊物主题：Geophysics/Geodesy; Structural Geology; Hydrogeology; Geotechnical Engineering & Applied Earth Sciences;
• 出版者：Springer Netherlands
• ISSN：1573-157X
• 卷排序：21

文摘

Solutions of P-SV equations of motion in a homogeneous transversely isotropic elastic layer contain a factor exp(±ν_jz), where z is the vertical coordinate and j = 1, 2. For computing Rayleigh wave dispersion in a multi-layered half space, ν_j is computed at each layer. For a given phase velocity (c), ν_j becomes complex depending on the transversely isotropic parameters. When ν_j is complex, classical Rayleigh waves do not exist and generalised Rayleigh waves propagate along a path inclined to the interface. We use transversely isotropic parameters as α_H, β_V, ξ, ϕ and η and find their limits beyond which ν_j becomes complex. It is seen that ν_j depends on ϕ and η, but does not depend on ξ. The complex ν_j occurs when ϕ is small and η is large. For a given c/β_V, the region of complex ν_j in a ϕ -η plane increases with the increase of α_H/β_V. Further, for a given α_H/β_V, the complex region of ν_j increases significantly with the decrease of c/β_V. This study is useful to compute dispersion parameters of Rayleigh waves in a layered medium.