Phase estimation in bispectral domain based on conformal mapping and applications in seismic wavelet estimation
Yu Yong-Cai1, Wang Shang-Xu1, Yuan San-Yi1, and Qi Peng-Fei2
1. State Key Laboratory of Petroleum Resource and Prospecting, CNPC Key Laboratory of Geophysical Exploration, China University of Petroleum, Beijing 102249, China.
2. China University of Geosciences (Beijing), Beijing 100083, China.
Abstract：
Seismic wavelet estimation is an important part of seismic data processing and interpretation, whose preciseness is directly related to the results of deconvolution and inversion. Wavelet estimation based on higher-order spectra is an important new method.However, the higher-order spectra often have phase wrapping problems, which lead to wavelet phase spectrum deviations and thereby affect mixed-phase wavelet estimation. To solve this problem, we propose a new phase spectral method based on conformal mapping in the bispectral domain. The method avoids the phase wrapping problems by narrowing the scope of the Fourier phase spectrum to eliminate the bispectral phase wrapping infl uence in the original phase spectral estimation. The method constitutes least-squares wavelet phase spectrum estimation based on conformal mapping which is applied to mixed-phase wavelet estimation with the least-squares wavelet amplitude spectrum estimation. Theoretical model and actual seismic data verify the validity of this method. We also extend the idea of conformal mapping in the bispectral wavelet phase spectrum estimation to trispectral wavelet phase spectrum estimation.
YU Yong-Cai,WANG Shang-Xu,YUAN San-Yi et al. Phase estimation in bispectral domain based on conformal mapping and applications in seismic wavelet estimation[J]. APPLIED GEOPHYSICS, 2011, 8(1): 36-47.
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2011, Vol. 8 
