New seismic attribute: Fractal scaling exponent based on gray detrended fluctuation analysis
Huang Ya-Ping1, Geng Jian-Hua2, and Guo Tong-Lou3
1. The School of Resource and Geosciences, China University of Mining and Technology, Xuzhou 221116, China.
2. State Key Laboratory of Marine Geology, School of Ocean and Earth science, Tongji University, Shanghai 200092, China.
3. Exploration Branch Company of China Petroleum and Chemical Corporation, Chengdu 610041, China.
Abstract Seismic attributes have been widely used in oil and gas exploration and development. However, owing to the complexity of seismic wave propagation in subsurface media, the limitations of the seismic data acquisition system, and noise interference, seismic attributes for seismic data interpretation have uncertainties. Especially, the antinoise ability of seismic attributes directly affects the reliability of seismic interpretations. Gray system theory is used in time series to minimize data randomness and increase data regularity. Detrended fluctuation analysis (DFA) can effectively reduce extrinsic data tendencies. In this study, by combining gray system theory and DFA, we propose a new method called gray detrended fluctuation analysis (GDFA) for calculating the fractal scaling exponent. We consider nonlinear time series generated by the Weierstrass function and add random noise to actual seismic data. Moreover, we discuss the antinoise ability of the fractal scaling exponent based on GDFA. The results suggest that the fractal scaling exponent calculated using the proposed method has good antinoise ability. We apply the proposed method to 3D poststack migration seismic data from southern China and compare fractal scaling exponents calculated using DFA and GDFA. The results suggest that the use of the GDFA-calculated fractal scaling exponent as a seismic attribute can match the known distribution of sedimentary facies.
This work was supported by the Fundamental Research Funds for the Central Universities (Grant No. 2012QNA62), the Natural Science Foundation of Jiangsu Province (Grant No. BK20130201), the Chinese Postdoctoral Science Foundation (Grant No. 2014M551703), and the National Natural Science Foundation of China (Grant No. 41374140).
Cite this article:
Huang Ya-Ping,Geng Jian-Hua,Guo Tong-Lou. New seismic attribute: Fractal scaling exponent based on gray detrended fluctuation analysis[J]. APPLIED GEOPHYSICS, 2015, 12(3): 343-352.
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2015, Vol. 12 
