基于3D Curvelet变换的频率域高效地震数据插值方法研究  

Efficient seismic data interpolation using three-dimensional Curvelet transform in the frequency domain

作　　者：王本锋 陆文凯[2] 陈小宏[3] 王志凯[3] WANG Benfeng;LU Wenkai;CHEN Xiaohong;WANG Zhikai(School of Ocean and Earth Science,Tongji University,Shanghai 200092,China;State Key Laboratory of Intelligent Technology,Department of Automation,Tsinghua University,Beijing 100084,China;State Key Laboratory of Petroleum Resources and Prospecting,China University of Petroleum,Beijing 102249,China)

机构地区：[1]同济大学海洋与地球科学学院,上海200092 [2]清华大学自动化系,智能技术与系统国家重点实验室,北京100084 [3]中国石油大学(北京)油气资源与探测国家重点实验室,北京102249

出　　处：《石油物探》2018年第1期65-71,共7页Geophysical Prospecting For Petroleum

基　　金：中国博士后科学基金项目(2016M590102)、国家自然科学基金项目(41604096,41674116)以及国家科技重大专项课题(2016ZX05024001004,2016ZX05024001005)联合资助。

摘　　要：插值重建的计算效率很大程度上依赖于数据的规模,对规模减半的频率数据体进行插值重建,可有效提高插值重建的计算效率。从理论上分析了有效频率数据体表征原数据的可行性,针对3D不规则地震数据,基于3D Curvelet变换,利用凸集投影方法,借助时间信号频谱的共轭对称性,研究了频率域3D高效地震数据插值重建方法。模拟算例以及实际资料处理表明,该方法能在保证插值重建效果的同时,有效提高插值重建的计算效率,在最大有效频率选取为奈奎斯特频率时,计算效率提高约1倍。We analyzed the theoretical feasibility that certain effective frequency components could characterize the original data.An efficient three dimensional(3D)seismic data interpolation method in the frequency domain is proposed for application to 3D irregular seismic data,which uses the spectral conjugate symmetry property of seismic data and the projection onto convex sets method based on 3D Curvelet transform.This method performs interpolation on frequency data halved in size.Synthetic data and field data tests demonstrated that the proposed method could effectively improve the efficiency while guaranteeing the interpolation performance.In particular,the interpolation efficiency can be increased by approximately one time when the maximum effective frequency equals the Nyquist frequency.

关 键 词：3D CURVELET变换 凸集投影方法 共轭对称 频谱 计算效率 

分 类 号：P631[天文地球—地质矿产勘探]