Seismic random noise suppression algorithm with automatic determination of the number of retained singular values
ZHU Yuefei1,2, CAO Jingjie1,2, YIN Hanjun1,2
1. Key Laboratory of Intelligent Detection and Equipment for Underground Space of Beijing-Tianjin-Hebei Urban Agglomeration, Ministry of Natural Resources, Shijiazhuang, Hebei 050031, China; 2. Hebei Key Laboratory of Strategic Critical Mineral Resources, Shijiazhuang, Hebei 050031, China
Abstract：The rank reduction-based method requires dividing the seismic data into different blocks during the noise suppression. However, each block corresponds to different numbers of singular values, and the number of valid singular values has to be estimated manually. It causes inefficient computation and cannot be industrialized. Therefore, we propose the adaptive damped multi-channel singular spectrum analysis (ADMSSA), which automatically determines the number of retained singular values by the Akaike information criterion during the seismic random noise suppression. Then the damped multi-channel singular spectrum analysis (DMSSA) is used for denoising. First, we introduce the denoising principle of the multi-channel singular spectrum analysis (MSSA) method, followed by the Akaike information criterion and empirical method to determine the number of valid singular values. The empirical method verifies the validity of the Akaike information criterion. Under the framework of DMSSA, ADMSSA just uses the range of dominant frequency to denoise automatically. The simulations and experiments with actual data show that ADMSSA can automatically determine the reliable number of singular values to achieve a high signal-to-noise ratio, breeding great potential for industrial applications.
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ZHU Yuefei, CAO Jingjie, YIN Hanjun. Seismic random noise suppression algorithm with automatic determination of the number of retained singular values. Oil Geophysical Prospecting, 2022, 57(3): 570-581.
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