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 lowfrequency region when a porous layer is at the surface; otherwise, the difference is small.
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This work is supported by National Sciences Foundation (No.11174321, 11174322, and 11574343).
Yan Shou-Guo, Institute of Acoustics, Chinese Academy of Sciences, received his Ph. D. in 2014 from the University of Chinese Academy of Sciences. His main research fields are Nondestructive Testing and Evaluation, and acoustical propagation in complex media. Email: yanshouguo@mail.ioa.ac.cn
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Yan, SG., Xie, FL., Li, CZ. et al. Dispersion function of Rayleigh waves in porous layered half-space system. Appl. Geophys. 13, 333–342 (2016). https://doi.org/10.1007/s11770-016-0536-2
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DOI: https://doi.org/10.1007/s11770-016-0536-2