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Phase estimation in bispectral domain based on conformal mapping and applications in seismic wavelet estimation

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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 influence 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.

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Authors and Affiliations

  1. State Key Laboratory of Petroleum Resource and Prospecting, CNPC Key Laboratory of Geophysical Exploration, China University of Petroleum, Beijing, 102249, China

    Yong-Cai Yu, Shang-Xu Wang & San-Yi Yuan

  2. China University of Geosciences (Beijing), Beijing, 100083, China

    Peng-Fei Qi

Authors
  1. Yong-Cai Yu
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  2. Shang-Xu Wang
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  3. San-Yi Yuan
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  4. Peng-Fei Qi
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Additional information

This research was financially supported by National 973 Program (No. 2007CB209600).

Yu Yong-Cai received his Bachelor’s degree of Information and Calculation Science at China University of Petroleum (Beijing) in 2007. He is now a PhD candidate at China University of Petroleum (Beijing). His research interests mainly include seismic wavelet estimation, seismic data processing, and inversion.

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Yu, YC., Wang, SX., Yuan, SY. et al. Phase estimation in bispectral domain based on conformal mapping and applications in seismic wavelet estimation. Appl. Geophys. 8, 36–47 (2011). https://doi.org/10.1007/s11770-011-0269-1

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  • DOI: https://doi.org/10.1007/s11770-011-0269-1

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