Recovery of Low Frequency Components of Seismic Data via Sparsity Driven Inversion

Recovery of Low Frequency Components of Seismic Data via Sparsity Driven Inversion
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DOI：
10.3997/2214-4609.20131103
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发表时间：
2013-06
期刊：
--
影响因子：
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通讯作者：
L. Han;L. Han;Z. Tong;Y. Ye
L. Han;L. Han;Z. Tong;Y. Ye
中科院分区：
其他
文献类型：
--
作者：
L. Han;L. Han;Z. Tong;Y. Ye

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全波反演（FWI）一直是地球模型建立的热点之一。然而，缺乏足够的低频分量限制了真实的数据的FWI，特别是在初始模型不好的情况下。本文提出了一种基于稀疏约束反演技术的低频恢复方法。建立了一个L1范数约束反演问题，并采用快速迭代保持算法（FISTA）进行求解。恢复数据的低频分量和原始数据的高频分量被组合以重构时域数据。一个真实的例子被用来证明所提出的方法的性能。
Full Waveform Inversion (FWI) has been one of the hottest topics of earth model building. However, the lack of sufficient low frequency components restricts FWI for the real data, especially in the case that the initial model is not good. Based on inversion technique with a sparse constrain, we propose a low frequency recovery method in this paper. A L1 norm constrained inversion problem is established and solved by the Fast Iterative Thresholding Algorithm (FISTA). The low frequency components of the recovered data and high frequency components of the original data are combined to reconstruct the time domain data. A real example is used to demonstrate the performance of the proposed method.