地震信号分数阶Gabor变换谱分解方法及应用

摘要

本文将分数阶Gabor变换(FrGT)引入到地震信号的分析与处理中,即利用新近兴起的分数域时频分析技术及其良好的局部时频能量聚集特性,进行地震信号的分数域谱分解及特征分析.论文在基本Gobor变换原理基础上推导了FrGT的公式及紧支撑时频带宽积下的最优阶次确定方法,建立了FrGT的一般流程,并进行了信号的数值仿真和性能分析.最后,将该方法应用于实际地震信号的时频分析,可获得最优阶下的各个高分辨率的单频剖面.解释结果表明,该方法具有潜在优势,可为地震储层预测,尤其是储层流体识别应用提供一条新的途径.%In this paper, the fractional Gabor transform (FrGT) is introduced into the study of seismic signal. It uses the fractional domain time-frequency analysis technology and its high energy-focusing performance in the fractional domain to carry out seismic signal fraction spectrum decomposition and characteristic analysis. The paper derived the formula of FrGT on the basis of classic Gabor transform and provided a method for selecting the optimal order under the condition of compact support of time-bandwidth product. And also the paper established a general flow of FrGT algorithm and carried out the numerical simulation and performance analysis of the signal. Finally the method was applied to the actual time-frequency analysis of seismic signals, which can obtain various high-resolution single-frequency sections under the optimal order. The results show that the method has potential advantages, which provides a new way for reservoir prediction, especially for fluid discrimination.