Dispersion function of Rayleigh waves in porous layered half-space system

Rayleigh wave exploration is based on an elastic layered half-space model. If practical formations contain porous layers, these layers need to be simplified as an elastic medium. We studied the effects of this simplification on the results of Rayleigh wave exploration. Using a half-space model with...

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Bibliographic Details
Published in:Applied geophysics 2016-06, Vol.13 (2), p.333-342
Main Authors: Yan, Shou-Guo, Xie, Fu-Li, Li, Chang-Zheng, Zhang, Bi-Xing
Format: Article
Language:English
Subjects:
Digits
Dispersion (wave)
Earth and Environmental Science
Earth Sciences
Exploration
Geophysics
Geophysics/Geodesy
Geotechnical Engineering & Applied Earth Sciences
Half spaces
Mathematical models
Overflow
Rayleigh waves
Simplification
Studies
Surface acoustic waves
Transfer matrices
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Summary:Rayleigh wave exploration is based on an elastic layered half-space model. If practical formations contain porous layers, these layers need to be simplified as an elastic medium. We studied the effects of this simplification on the results of Rayleigh wave exploration. Using a half-space model with coexisting porous and elastic layers, we derived the dispersion functions of Rayleigh waves in a porous layered half-space system with porous layers at different depths, and the problem of transferring variables to matrices of different orders is solved. To solve the significant digit overflow in the multiplication of transfer matrices, we propose a simple, effective method. Results suggest that dispersion curves differ in a lowfrequency region when a porous layer is at the surface; otherwise, the difference is small.
ISSN:1672-7975
1993-0658
DOI:10.1007/s11770-016-0536-2