Fast seismic data recovery by combined minimum norm algorithm in DTCW domain

Fast seismic data recovery by combined minimum norm algorithm in DTCW domain
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DTCW域组合最小范数算法快速地震数据恢复

DOI:
10.1080/17415977.2012.753442
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发表时间:
2013-10
影响因子:
1.3
通讯作者:
Yang, Haoxing
Yang, Haoxing
中科院分区:
工程技术4区
文献类型:
--
作者:
Wang, Hongxia;Chen, Bo;Yang, Haoxing

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摘要 随着高密度采样技术和高精度地震学的发展,随着采样率和分辨率要求急剧增加的计算成本在地震数据恢复中变得极具挑战性。一种双重(后面似乎还有内容未给出完整)
Abstract With the development of high-density sampling technology and high-precision seismology, the computational cost that dramatically increases with the sampling rate and resolution requirement becomes very challenging in seismic data recovery. A dual tree complex wavelet (DTCW)-based sparsity-preserving minimization model for seismic data recovery is studied in this paper. Different to other orthogonal transforms, the multi-dimensional DTCW transform (DTCWT) is shift invariant and direction sensitive, which ensures the sparse representation and stable recovery of seismic reflections. Compared with other over-complete transforms, DTCWT is superior in less redundancy and computation complexity. Based on these advantages, a modified split Bregman iterative algorithm in DTCW domain for solving the combined norm minimization model is proposed and its convergence is then established. As a crucial step of the algorithm, how to choose model parameters optimally for over-complete transforms is specifically discussed in this paper. We apply this method to recovery seismic data from severe noisy background. Numerical results show that the proposed DTCWT-based algorithm appears to give significant improvements over the fully decimated orthogonal wavelet transform (DWT) or non-decimated wavelet transform (DyDWT) based-ones both in SNR and visual quality of the results. Its memory and computation cost is much lower than DyDWT and discrete curvelet transform (DCurT)-based methods. Meanwhile, the artificial reflections in the results of the proposed method are much less than some other redundant transform-based ones. So, the DTCWT-based iteration algorithm is applicable in real seismic applications.
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