Title

Application and extraction of Teager-Kaiser energy based on the fractional Gabor transform

单位

(1.成都理工大学地球探测与信息技术教育部重点实验室，四川成都610059;2.成都理工大学地球物理学院，四川成都610059;3.成都理工大学工程技术学院，四川乐山614000;4.电子科技大学光电信息学院，四川成都610054)

Organization

(1.Key Labortary of Earth Exploration & Information Techniques of Ministry of Education, Chengdu University of Technology,Chengdu 610059,China; 2.College of Geophysics,Chengdu University of Technology,Chengdu 610059,China; 3.Engineering and Technical College,Chengdu University of Technology,Leshan 614000,China; 4.School of Opto-Electronic Information, University of Electronic Science and Technology of China,Chengdu 610054,China)

摘要

含油气储层可引起地震信号的能量密度异常，Teager-Kaiser(T-K)能量是刻画地震信号能量密度、表征地震波场能量分布的一种重要属性。借助于分数阶Gabor变换(FrGT)优良的局部时频能量聚集特性，将基于FrGT的时频分析方法引入地震信号T-K非线性能量的计算中，提出了基于FrGT的时频域T-K能量储层预测方法。该方法根据测不准原理确定紧支撑时宽-带宽积下的FrGT最优阶，利用最优阶FrGT将地震信号分解为一系列单频分量，计算并提取单频分量的T-K能量的瞬时属性。理论信号仿真和实际资料的处理结果表明，FrGT可有效应用于地震信号的时频分析，T-K主能量可作为储层预测的一种有效属性。

Abstract

There are energy density anomalies of seismic signal from hydrocarbon reservoirs.Teager-Kaiser energy is an important attribute for featuring energy density of seismic signals,to characterize energy distribution of seismic wavefield.By means of excellent local time frequency energy gathering features of the fractional Gabor transform (FrGT),the time-frequency analysis method based on FrGT is introduced into calculation of T-K energy of seismic signal.Firstly,the optimal order FrGT under compactly supported timewidth-bandwidth product is determined by the uncertainty principle.Secondly,by using the optimal order FrGT,the seismic signal is decomposed into a series of single frequency components.Thirdly,T-K energy instantaneous attributes of single frequency components are calculated and extracted.The theoretical signal simulation and actual data processing show that FrGT is feasible for seismic signal time-frequency analysis and T-K energy is an effective attribute for reservoir prediction.

关键词：

储层预测; T-K能量; 分数阶Gabor变换(FrGT); 最优阶; 时频分析;

Keywords:

reservoir prediction; Teager-Kaiser energy; fractional Gabor transform (FrGT); optimal order; time-frequency analysis;

基金项目

DOI

10.3969/j.issn.1000-1441.2014.05.013

基于分数阶Gabor变换的Teager-Kaiser能量提取及应用