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arXiv 1703.02461physics.geo-phphysics.data-an
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双稀疏字典学习联合地震资料去噪与插值

Joint Seismic Data Denoising and Interpolation with Double-Sparsity Dictionary Learning

Lingchen Zhu, Entao Liu, James H. McClellan

摘要:

地震资料质量对地球物理应用至关重要,因此数据恢复方法,包括去噪和插值,是震测资料处理流程中常见的初始步骤。提出了一种基于双稀疏字典学习的同时插值和去噪的方法。这扩展了以前仅用于去噪的工作。原始的双稀疏字典学习算法进行修改,通过定义一个屏蔽算子,被集成到字典的稀疏表示跟踪与丢失的数据的痕迹。采用加权低秩近似算法将字典更新问题转化为屏蔽算子约束下的稀疏恢复优化问题。与传统的具有固定字典的稀疏变换缺乏适应复杂数据结构的能力相比,双稀疏字典学习方法从受损地震资料的选定块中自适应地学习信号,同时保持紧凑的正变换和逆变换算子。对合成地震资料的数值实验表明,与其他方向多尺度变换方法(如曲波)相比,该方法在不引入伪Gibbs伪影的情况下保留了数据集中更细微的特征。

英文摘要:

Seismic data quality is vital to geophysical applications, so methods of data recovery, including denoising and interpolation, are common initial steps in the seismic data processing flow. We present a method to perform simultaneous interpolation and denoising, which is based on double-sparsity dictionary learning. This extends previous work that was for denoising only. The original double sparsity dictionary learning algorithm is modified to track the traces with missing data by defining a masking operator that is integrated into the sparse representation of the dictionary. A weighted low-rank approximation algorithm is adopted to handle the dictionary updating as a sparse recovery optimization problem constrained by the masking operator. Compared to traditional sparse transforms with fixed dictionaries that lack the ability to adapt to complex data structures, the double-sparsity dictionary learning method learns the signal adaptively from selected patches of the corrupted seismic data while preserving compact forward and inverse transform operators. Numerical experiments on synthetic seismic data indicate that this new method preserves more subtle features in the dataset without introducing pseudo-Gibbs artifacts when compared to other directional multiscale transform methods such as curvelets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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