基于改进匹配追踪傅里叶插值的地震数据规则化重构  

Regularized reconstruction of seismic data based on improved matching pursuit Fourier interpolation

作　　者：张春枫 杜启振[1,2] 张富源 符力耘 魏国华 ZHANG Chunfeng;DU Qizhen;ZHANG Fuyuan;FU Liyun;WEI Guohua(Shandong Provincial Key Laboratory of Deep Oil&gas,China University of Petroleum(East China),Qingdao 266580;Qingdao National Laboratory for Marine Science and Technology,Laboratory for Marine Mineral Resources,Qingdao 266237,China;Geophysical Research Institute,Sinopec Shengli Qilfield Company,Dongying 257022,China)

机构地区：[1]中国石油大学(华东)山东省深层油气重点实验室,山东青岛266580 [2]青岛海洋科学与技术试点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 [3]中国石化胜利油田分公司物探研究院,山东东营257022

出　　处：《大庆石油地质与开发》2023年第6期132-139,共8页Petroleum Geology & Oilfield Development in Daqing

基　　金：国家自然科学基金重点项目“弹性全波形反演与逆时偏移成像”(41930429)。

摘　　要：由于地表条件的限制,野外采集的地震数据难以做到规则采样,不规则采样地震数据影响了地震数据处理与解释。针对这一问题,采用匹配追踪傅里叶插值算法对不规则地震数据进行重构,并在该插值算法中的迭代部分作出改进,使其只在频率-波数域中计算傅里叶系数谱,减少了迭代中大量的正反傅里叶变换,以降低匹配追踪傅里叶插值算法的计算时间,并将改进后的方法应用到随机欠采样凹陷正演地震记录、Marmousi正演地震记录以及实际CMP地震资料中进行规则化重构。结果表明:改进后的匹配追踪傅里叶插值算法可以将随机欠采样地震数据规则化,重构后其同相轴变得连续,频波谱能量收敛,有效信号得以恢复,且改进后该算法的重构时间明显降低,其加速比在30倍以上,表明了该方法的正确性与可行性。改进后的匹配追踪算法为不规则地震数据的重构提供了新的理论依据。Due to the limitation of surface conditions,it is difficult to conduct regular sampling for seismic data collected in the field,and irregular sampling of seismic data affects seismic data processing and interpretation.To solve this problem,matching pursuit Fourier interpolation algorithm is used to reconstruct irregular seismic data,and iterative part of interpolation algorithm is improved,so that it only calculates Fourier coefficient spectrum in frequency wavenumber domain,reducing a large amount of forward and inverse Fourier transforms in iteration,so as to reduce calculation time of matching pursuit Fourier interpolation algorithm.The improved method is applied to forward seismic records of random undersampling graben,Marmousi forward seismic records and actual CMP seismic data for regular reconstruction.The results show that improved matching pursuit Fourier interpolation algorithm can regularize random undersampling seismic data.After reconstruction,its events become continuous,frequency spectrum energy converges,and effective signal are recovered.Moreover,the reconstruction time of improved algorithm is significantly reduced,and its acceleration ratio is more than 30 times,indicating the correctness and feasibility of the method.Improved matching pursuit algorithm provides new theoretical basis for reconstruction of irregular seismic data.

关 键 词：地震数据规则化 地震数据重构 地震数据插值 匹配追踪 傅里叶变换 

分 类 号：P631[天文地球—地质矿产勘探]