大间距地震记录的插值辅助稀疏反演傅立叶重建算法  

Interpolation aided Fourier reconstruction algorithm of sparse seismic record inversion with large gap

作　　者：周亚同[1] 穆向阳[2] 姜焕[1] 

机构地区：[1]河北工业大学信息工程学院,天津300401 [2]西安石油大学电子工程学院,陕西西安710065

出　　处：《西安石油大学学报（自然科学版）》2013年第4期17-22,6,共6页Journal of Xi’an Shiyou University（Natural Science Edition）

基　　金：国家自然科学基金(编号:60972106);天津市自然科学基金(编号:11JCYBJC00900)

摘　　要：针对经典的稀疏反演傅立叶重建(FRSI)算法无法进行大间距地震记录插值重建问题,结合常规插值与非均匀采样信号重建理论,提出了一种新的插值辅助稀疏反演傅立叶重建(IA-FRSI)算法.该算法首先在常规插值法的辅助下,于大间距地震记录的间隙中生成若干"控制道",用于减少空间采样间距,使之满足FRSI的重建前提条件;然后借助经典FRSI完成缺失地震道的重建.大间距理论模型以及实际海洋和陆上地震记录重建实验表明:IA-FRSI算法重建精度高;重建记录不仅保持了原始地震记录特征,而且波形连续自然,具有良好的实用价值和应用前景.Classical Fourier reconstruction sparse inversion(FRSI) algorithm can not reconstruct the seismic record with large gap.Focusing on this problem,a novel interpolation aided Fourier reconstruction sparse inversion(IA-FRSI) algorithm is proposed by the traditional interpolation method with reconstruction theory of nonuniformly sampling signal.Firstly,some control traces are generated between the seismic records with large gap by combining aid of the traditional interpolation method,which can reduce the spatial sampling interval in order to meet the reconstruction conditions of FRSI algorithm,and then the missing records are reconstructed using classical FRSI algorithm.The reconstruction experiments of theoretical model and field seismic records with large gaps demonstrate that IAFRSI has high reconstruction accuracy.The reconstructed records preserve the characteristics of original records,and their waveform is continuous and natural.The proposed algorithm is good application prospects.

关 键 词：大间距地震记录 稀疏反演傅立叶重建 非均匀采样 

分 类 号：P315[天文地球—地震学]