Dispersion function of Rayleigh waves in porous layered half-space system
Yan Shou-Guo1, Xie Fu-Li2, Li Chang-Zheng3, and Zhang Bi-Xing1
1. Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China.
2. GoerTek Inc., Beijing 100190, China.
3. Yellow River Institute of Hydraulic Research, Zhengzhou 450003, China.
Abstract 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 low-frequency region when a porous layer is at the surface; otherwise, the difference is small.
This work is supported by National Sciences Foundation (No.11174321, 11174322, and 11574343).
Cite this article:
. Dispersion function of Rayleigh waves in porous layered half-space system[J]. APPLIED GEOPHYSICS, 2016, 13(2): 332-342.
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2016, Vol. 13 
