Reservoir information extraction using a fractional fourier transform and a smooth pseudo Wigner-Ville distribution

Currently, it is difficult for people to express signal information simultaneously in the time and frequency domains when analyzing acoustic logging signals using a simple-time or frequency-domain method. It is difficult to use a single type of time-frequency analysis method, which affects the feasi...

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Bibliographic Details
Published in:Applied geophysics 2012-12, Vol.9 (4), p.391-400
Main Authors: Wang, Zhu-Wen, Wang, Xiao-Li, Xiang, Min, Liu, Jing-Hua, Zhang, Xue-Ang, Yang, Chuang
Format: Article
Language:English
Subjects:
Acoustics
Arrays
Earth and Environmental Science
Earth Sciences
Feasibility
Fourier transforms
Frequency analysis
Frequency distribution
Geophysics
Geophysics/Geodesy
Geotechnical Engineering & Applied Earth Sciences
Logging
Rayleigh waves
Reservoirs
Rotational
Stratigraphy
Waves
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Summary:Currently, it is difficult for people to express signal information simultaneously in the time and frequency domains when analyzing acoustic logging signals using a simple-time or frequency-domain method. It is difficult to use a single type of time-frequency analysis method, which affects the feasibility of acoustic logging signal analysis. In order to solve these problems, in this paper, a fractional Fourier transform and smooth pseudo Wigner-Ville distribution (SPWD) were combined and used to analyze array acoustic logging signals. The time-frequency distribution of signals with the variation of orders of fractional Fourier transform was obtained, and the characteristics of the time-frequency distribution of different reservoirs under different orders were summarized. Because of the rotational characteristics of the fractional Fourier transform, the rotation speed of the cross terms was faster than those of primary waves, shear waves, Stoneley waves, and pseudo Rayleigh waves. By choosing different orders for different reservoirs according to the actual circumstances, the cross terms were separated from the four kinds of waves. In this manner, we could extract reservoir information by studying the characteristics of partial waves. Actual logging data showed that the method outlined in this paper greatly weakened cross-term interference and enhanced the ability to identify partial wave signals.
ISSN:1672-7975
1993-0658
DOI:10.1007/s11770-012-0352-2