Seismic data two-step recovery approach combining sparsity-promoting and hyperbolic Radon transform methods
Seismic data two-step recovery approach combining sparsity-promoting and hyperbolic Radon transform methods
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DOI：
10.1088/1742-2132/12/3/465
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发表时间：
2015-06
影响因子：
1.4
通讯作者：
Han-Chuang Wang;Shengchang Chen;H. Ren;Donghui Liang;Huamin Zhou;Deping She
中科院分区：
文献类型：
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作者：
Han-Chuang Wang;Shengchang Chen;H. Ren;Donghui Liang;Huamin Zhou;Deping She
在目前的地震数据恢复问题研究中，稀疏性提升方法在零道处往往恢复效果不理想。双曲Radon变换（HRT）方法可用于近似双曲同相轴的地震数据恢复问题。受真实的走时曲线与理想走时曲线双曲线特征偏差的影响，常引入虚假同相轴，中远炮检距道的恢复效果比近炮检距道差。稀疏促进恢复主要取决于稀疏变换域中地震数据的稀疏性（即，取决于局部波形特性），而HRT恢复受到地震事件的全局特性的严重影响。在此基础上，结合地震数据的局部和全局特性，提出了一种稀疏提升和时不变HRT相结合的两步恢复方法。详细介绍了两种实施策略，并讨论了相关策略的选择标准。仿真和真实的数据的数值算例表明，该方法能够同时克服稀疏促进恢复和HRT恢复的缺点，获得更好的恢复效果。
In current research of seismic data recovery problems, the sparsity-promoting method usually produces an insufficient recovery result at the locations of null traces. The HRT (hyperbolic Radon transform) method can be applied to problems of seismic data recovery with approximately hyperbolic events. Influenced by deviations of hyperbolic characteristics between real and ideal travel-time curves, some spurious events are usually introduced and the recovery effect of intermediate and far-offset traces is worse than that of near-offset traces. Sparsity-promoting recovery is primarily dependent on the sparsity of seismic data in the sparse transform domain (i.e. on the local waveform characteristics), whereas HRT recovery is severely affected by the global characteristics of the seismic events. Inspired by the above conclusion, a two-step recovery approach combining sparsity-promoting and time-invariant HRT methods is proposed, which is based on both local and global characteristics of the seismic data. Two implementation strategies are presented in detail, and the selection criteria of the relevant strategies is also discussed. Numerical examples of synthetic and real data verify that the new approach can achieve a better recovery effect by simultaneously overcoming the shortcomings of sparsity-promoting recovery and HRT recovery.