煤炭工程 ›› 2022, Vol. 54 ›› Issue (1): 142-147.doi: 10.11799/ce202201026

• 研究探讨 • 上一篇    下一篇

改进离散S变换算法及其在槽波信号提取中的应用研究

吴涛,杨思通,魏久传,施龙青,毛庆福,高学亮,刘震   

  1. 1. 山东科技大学
    2. 山东科技大学地球科学与工程学院
    3. 山东济矿鲁能煤电股份有限公司阳城煤矿
  • 收稿日期:2021-09-18 修回日期:2021-11-15 出版日期:2022-01-14 发布日期:2022-07-07
  • 通讯作者: 杨思通 E-mail:skd991902@sdust.edu.cn

An improved discrete S-transform algorithm and its application in channel wave signal extraction

  • Received:2021-09-18 Revised:2021-11-15 Online:2022-01-14 Published:2022-07-07

摘要: 采用调整离散频率域高斯窗函数离散变量取值的方法对传统离散S变换算法进行改进。通过对比分析传统和改进两种离散S变换算法的槽波地震数据时频谱,验证了改进离散S变换算法保持了离散频率域高斯窗函数的对称性,实现了负频率时频谱不再失真并与正频率时频谱对称的效果。对比分析数值模拟槽波地震数据和实测槽波地震数据的两种离散S变换槽波信号提取的应用效果,表明相对于传统离散S变换,改进离散S变换时频谱中槽波信号在时频域的分布与原槽波信号在时频域的实际分布较为一致,对改进离散S变换时频谱进行槽波信号时频域滤波和反S变换可以实现对槽波信号的保幅提取。

关键词: 改进的离散S变换, 槽波地震探测, 时频谱, 滤波, 信号提取

Abstract: Channel wave seismic exploration is an important method for fine detection of hidden small structures inside the coal mining face. Extraction of channel wave signal from seismic data is the most key step in channel wave seismic exploration. However, the channel wave is a kind of dispersion wave. At present, it is a difficulty to extract high-precision amplitude preservation channel wave signal from the complex seismic signals in which various wave patterns interfere with each other and overlap. S-transform can analyze signals in time domain and frequency domain at the same time, and has advantages in time-frequency characteristic analysis of non-stationary dispersion channel wave signal. However, the Gaussian window function of the traditional discrete S-transform algorithm loses symmetry. As a result, the negative frequency part of the time-frequency spectrum of the signal is distorted after the traditional discrete S-transform. When the traditional discrete S-transform is used to seismic data filtering and channel wave signal extracting in time-frequency domain from the channel wave seismic data, due to the distortion of time-frequency spectrum in the negative frequency part, the energy distribution in the time-frequency spectrum is inconsistent with the actual time-frequency distribution of seismic signal energy, so time-frequency spectrum of negative frequency cannot participate in filtering and inverse transformation, resulting in the amplitude reduction of time domain channel wave signal after filtering and inverse transformation only with positive frequency time-frequency spectrum. The improved discrete S-transform algorithm proposed in this paper can effectively overcome the time-frequency spectrum distortion of traditional discrete S-transform at negative frequency. By comparing and analyzing the time-frequency spectrum of channel wave seismic data obtained by two discrete algorithms of S-transform, it is verified that the improved discrete S-transform algorithm realizes the symmetry of Gaussian window function, and makes the transformed time-frequency spectrum in negative frequency part no longer distorted and symmetrical with the time-frequency spectrum of positive frequency part. Through applications of time-frequency domain filtering and channel wave signal extraction of numerical simulation and measured channel wave seismic data, it shows that compared with the traditional discrete S-transform, the actual distribution of spectral energy in time domain and frequency domain of the improved discrete S-transform is more consistent with that of the original signal in time domain and frequency domain, amplitude preservation extraction of channel wave signal can be realized by filtering and inverse S-transform in time domain and frequency domain.

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