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A Robust Adaptive Rank-Reduction Method for 3D Diffraction Separation and Imaging

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Abstract

Diffractions with good illumination carry valuable subwavelength information below the Rayleigh limit and can be used for high-resolution imaging of small-scale discontinuous features. As diffractions are characterized by weak energy, diffracted wavefield separation is a key step before imaging of discontinuities. The traditional multichannel singular-spectrum analysis (MSSA) for diffraction separation considers the constant rank strategy. It is challenging to estimate the appropriate rank for various data. In this study, we propose a robust adaptive rank-reduction method for 3D diffraction separation and imaging. It utilizes the low-rank characteristics of reflections in the common-offset or poststack domain based on the MSSA algorithm. The method considers the kinematic and dynamic differences of reflections and diffractions, and combines the energy intensity and smoothed curvature to accurately estimate the rank thresholds as well as the ranks of the reflections and diffractions. Three-dimensional multilayer and complex synthetic examples are used to demonstrate the feasibility of the proposed method in removing reflections and separating diffractions and achieving high-resolution imaging with diffractions, which is helpful for seismic data interpretation.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (grant no. 42022031,41874157), National Key Research and Development Program of China (grant no. 2020YFE0201300), Fundamental Research Funds for the Central Universities (grant no. 2020YQMT01), the 111 project (erant no. B18052) and Open Fund of State Key Laboratory of Coal Resources and Safe Mining (grant no. SKLCRSM19KFA10). We are grateful to the discussion with Rushan Wu and Xiaobi Xie in the WTOPI group of the University of California, Santa Cruz. We would like to thank the Peng Research Group at the CUMTB for help and partial support of this work.

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Authors and Affiliations

  1. State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology (Beijing), Beijing, 100083, China

    Peng Lin, Jingtao Zhao, Suping Peng, Xiaoqin Cui & Chuangjian Li

  2. Modeling and Imaging Laboratory, Earth and Planetary Sciences, University of California, Santa Cruz, CA, 95064, USA

    Peng Lin

  3. College of Earth Sciences and Engineering, Shandong University of Science and Technology, Qingdao, 266590, China

    Dongjing Xu

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  1. Peng Lin
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Correspondence to Jingtao Zhao.

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Lin, P., Zhao, J., Peng, S. et al. A Robust Adaptive Rank-Reduction Method for 3D Diffraction Separation and Imaging. Pure Appl. Geophys. 178, 2917–2931 (2021). https://doi.org/10.1007/s00024-021-02778-z

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