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Application of RAKSVD method with automatic optimization of regularization parameters in seismic weak signal denoising
YUE Youxi1, YANG Jiefei1, CHEN Yidu1, WU Jiawei1, YANG Tao2
(1.School of Geosciences in China University of Petroleum (East China), Qingdao 266580, China;2.Yellow River Engineering Consulting Company Limited, Zhengzhou 450003, China)
Abstract:
Due to the ill conditioned problem of K-means singular value decomposition(KSVD) denoising method, it is necessary to introduce a regularization term to improve the stability of the method. In this paper, by improving the regularization parameter setting, and taking advantage of the approximate KSVD(AKSVD) method for weak signal recognition, a regularized approximate K-means singular value decomposition(RAKSVD) denoising method with automatic optimization of regularization parameters is proposed. Model test and practical application show that this method not only achieves the expected denoising effect, but also pays more attention to the protection of weak signal. After denoising, the weak seismic signal has no distortion, which is beneficial to the extraction and recognition of weak signal. In addition, the calculation efficiency is also improved.Therefore, this method has certain practical application value.
Key words:  seismic weak signal  KSVD dictionary  regularization  denoising