摘要：The conventional linear time-frequency analysis method cannot achieve high resolution and energy focusing in the time and frequency dimensions at the same time, especially in the low frequency region. In order to improve the resolution of the linear time-frequency analysis method in the low-frequency region, we have proposed a W transform method, in which the instantaneous frequency is introduced as a parameter into the linear transformation, and the analysis time window is constructed which matches the instantaneous frequency of the seismic data. In this paper, the W transform method is compared with the Wigner-Ville distribution (WVD), a typical nonlinear time-frequency analysis method. The WVD method that shows the energy distribution in the time-frequency domain clearly indicates the gravitational center of time and the gravitational center of frequency of a wavelet, while the time-frequency spectrum of the W transform also has a clear gravitational center of energy focusing, because the instantaneous frequency corresponding to any time position is introduced as the transformation parameter. Therefore, the W transform can be benchmarked directly by the WVD method. We summarize the development of the W transform and three improved methods in recent years, and elaborate on the evolution of the standard W transform, the chirp-modulated W transform, the fractional-order W transform, and the linear canonical W transform. Through three application examples of W transform in fluvial sand body identification and reservoir prediction, it is verified that W transform can improve the resolution and energy focusing of time-frequency spectra. Copyright 漏 2024,

ISSN号：1000-0747

卷、期、页：卷51期4：886-896

发表日期：2024-08-15

影响因子：0.000000

期刊分区（SCI为中科院分区）：二区

收录情况：SCI（科学引文索引印刷版）,EI（工程索引）,SCIE（科学引文索引网络版）

发表期刊名称：Shiyou Kantan Yu Kaifa/Petroleum Exploration and Development

参与作者：王仰华

第一作者：饶莹,赵振聪

论文类型：期刊论文

论文概要：王仰华,饶莹,赵振聪，The W transform and its improved methods for time-frequency analysis of seismic data，Shiyou Kantan Yu Kaifa/Petroleum Exploration and Development，2024，卷51期4：886-896

论文题目：The W transform and its improved methods for time-frequency analysis of seismic data