石油地球物理勘探2024，Vol.59Issue(3)：433-442,10.DOI:10.13810/j.cnki.issn.1000-7210.2024.03.006
三参数W变换的可逆性
Reversibility of three-parameter W transform
摘要
Abstract
The three-parameter W transform(TPWT)is an effective tool for analyzing non stationary sig-nals,and it has been successfully used in oil and gas reservoir identification.However,the reversibility of TPWT has not been discussed in detail in previous studies.Therefore,this paper first reviewed the basic principles of TPWT and theoretically analyzed the reversibility of TPWT.Both the theoretical analysis and numerical calculation results show that:①TPWT not only solves the problems of low time resolution at low-frequencies and shift of the distribution centroid of the time-frequency spectral energy toward higher frequen-cies in S transform(ST)but also overcomes the amplitude splitting phenomenon of the time frequency spec-trum at the dominant frequency in W transform(WT),which can characterize hydrocarbon reservoirs more accurately and is more beneficial for seismic interpretation.②In theory,TPWT is not strictly reversible but an approximately reversible transform tool,which is different from Fourier transform(FT)and ST.③The numerical calculation results of a synthetic seismogram and a real seismogram show that compared with origi-nal seismic data,the relative errors of seismic data reconstructed by inverse TPWT are 11.47％～21.35％,or in other words,the theoretical irreversibility leads to significant reconstruction errors,seriously affecting the application range of TPWT.TPWT is not applicable in fields that require data reconstruction such as de-noising and high-resolution processing.关键词
时—频谱/三参数W变换/振幅分裂/重建地震数据Key words
time-frequency spectrum/three-parameter W transform/amplitude splitting/reconstruction of seis-mic data分类
天文与地球科学引用本文复制引用
刘保童,刘启源,黄翼坚,康学福,刘东林,姜英爽..三参数W变换的可逆性[J].石油地球物理勘探,2024,59(3):433-442,10.基金项目
本项研究受国家自然科学基金项目"基于全局非线性最优化与形态学的井间地震波场高保真分离方法研究"(41264002)资助. （41264002）
