用过采样小波变换提高地震资料分辨率

Enhancement of seismic resolution by over-sampling wavelet transform

1. 中国石化胜利油田物探研究院,山东东营257000;2. 中国科学院地质与地球物理研究所,北京100101;3. 中国科学院研究生院,北京100039;4. 中国石油大庆油田勘探开发研究院,黑龙江大庆163712;5. 中国石油勘探开发研究院;北京100083

1. Geophysical Research Institute, Shengli Oilfield, Dongying 257000, China;2. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100101, China;3. The Graduate School of the Chinese Academy of Sciences, Beijing 100039, China; 4. Exploration and Exploitation Research Institute, Daqing Oilfield, Daqing 163712, China;5. CNPC Exploration and Exploitation Research Institute, Beijing 100083, China

小波分析具有时频局部化优点, 被誉为“数学显微镜”。讨论了利用小波变换提高地震资料分辨率, 在阐述小波原理的基础上, 给出小波分频带能量合理补偿提高分辨率的方法。考虑到快速小波变换分解尺度数目与信号样点数有关, 借鉴通讯系统中的过采样技术, 提出过采样小波变换提高地震资料分辨率方法。实际资料试算表明, 过采样小波变换方法可以有效提高地震资料分辨率, 是对小波变换方法的扩展。

Wavelet analysis is a localization tool in both time and frequency domain, and is praised "the mathematical microscope". Applications to Geophysics are now very popular and effective. This paper discussed the enhancement of seismic resolution by wavelet transform. Considering that the number of decomposition scales for wavelet transform is related to the number of signal samples, a method for enhancement of seismic resolution was developed by virtue of over-sampling theory of communication system. The results from real data showed this method is more effective than conventional wavelet transform based methods.