Simultaneous reconstruction and denoising of seismic data based on rank reduction and sparsity constraints
LI Wen-Jie1(), ZHANG Hua1(), REN Wang1, YE Hai-Long2, WU Zhao-Qi1, YANG Xi-Xi1, PENG Qing1
1. State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang 330013,China 2. Hydrogeological Brigade of Jiangxi Bureau of Geology, Nanchang 330013,China
Field seismic data contain various random noise and irregular channel missing. Their simultaneous reconstruction and denoising is necessary for subsequent data processing. Currently, most simultaneous reconstruction and denoising methods only use a single sparsity or rank reduction constraint. The sparsity constraint exhibits high efficiency but lacks adaptability to various data. In contrast, the rank reduction constraint can adapt to various data but shows a high computational cost. To take a full advantage of different constraints, this study proposed a method for simultaneous reconstruction and denoising of seismic data based on combined constraints. This method regards projection onto convex sets (POCS) based on Fourier transform as the sparsity constraint, and damped multichannel singular spectrum analysis (DMSSA) as the rank reduction constraint. It employs the truncated singular value decomposition (TSVD) algorithm and the exponential threshold equation, fully utilizing the high computational efficiency of the sparsity constraint and the strong adaptability of the rank reduction constraint. As indicated by the processing results of theoretical and field data, this method based on combined constraints can consider and utilize the spatio-temporal correlations of seismic data, achieving higher signal-to-noise ratios via fewer iterations compared to methods based on a single constraint.
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LI Wen-Jie, ZHANG Hua, REN Wang, YE Hai-Long, WU Zhao-Qi, YANG Xi-Xi, PENG Qing. Simultaneous reconstruction and denoising of seismic data based on rank reduction and sparsity constraints. Geophysical and Geochemical Exploration, 2024, 48(2): 479-488.
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