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基于最大相关熵准则的压缩感知地震道重建方法
焦叙明1,杜启振2,3,4,赵强2,3,4
(1.中海油服物探事业部物探研究院,天津 300000;2.中国石油大学(华东)深层油气重点实验室,山东青岛 266580;3.青岛海洋科学与技术国家实验室海洋矿产资源评价与探测技术功能实验室,山东青岛 266237;4.中国石油大学(华东)CNPC物探重点实验室,山东青岛 266580)
摘要:
从含异常振幅噪声的缺失地震道重建问题出发,引入信息论中的最大相关熵准则,构建以最大化相关熵为目标函数的鲁棒地震道重建模型,降低异常振幅噪声在残差度量中的影响;利用最大相关熵的导数构建伪观测数据,并利用迭代阈值算法进行直接求解,进而实现异常振幅噪声干扰下的地震道鲁棒重建。结果表明,欠采样数据中的异常振幅噪声会严重影响传统压缩感知地震信号重建方法的重建精度,而最大相关熵准则可有效抑制噪声对重建过程的影响,可有效提高重建方法的精度及稳定性。
关键词:  地震道重建  异常振幅噪声压制  最大相关熵  鲁棒残差度量
DOI:10.3969/j.issn.1673-5005.2020.03.004
分类号::P 631.4
文献标识码:A
基金项目:国家自然科学基金项目(41930429,41774139);中海油外协项目(G1915B-0712G014)
Compressed sensing seismic data reconstruction based on maximum correntropy criterion
JIAO Xuming1, DU Qizhen2,3,4, ZHAO Qiang2,3,4
(1.Geophysical Research and Development Institute, Geophysical-COSL, Tianjin 300000, China;2.Key Laboratory of Deep Oil and Gas in China University of Petroleum (East China), Qingdao 266580, China;3.Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266237, China;4.Key Laboratory of Geophysical Prospecting, CNPC, China University of Petroleum (East China), Qingdao 266580, China)
Abstract:
For robust reconstruction of under-sampled and noisy data, the maximum correntropy criterion (MCC), which is widely used in the field of information theoretic learning, is introduced to measure the distance between the observed data and the recovered signal, reducing the influence of erratic noise on misfit estimation. With the help of MCC-based reconstruction model, an iterative shrinkage algorithm is applied to solve the nonlinear problem and robust reconstruction in the presence of erratic noise is achieved. Several seismic examples show that erratic noise present in the under-sampled data indeed influences the reconstruction accuracy with conventional compressive sensing methods, whereas the proposed MCC-based method can effectively attenuate the influence of erratic noise and provide superior accuracy and stability.
Key words:  seismic data reconstruction  erratic noise attenuation  maximum correntropy  robust misfit metric
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