小波变换及其在薄储层识别中的应用

Wavelet transform and its application in the recognition of thin-reservoir

长春地质学院, 长春130026

Chang Chun University of Earth Science, Chang Chun 130016

本文详细研究了小波变换的定义及小波变换的特性, 并就其特性与傅里叶变换性质的区别进行了研究。通过分析我们选择了零通小波变换用于薄储层的识别, 计算了小坡变换对Sine函数的分解和用小波重构原始记录。文中给出了不同模型下的合成记录及其分解围, 推断出用相位个数的增加来判别薄层存在的标准及用这种方法所能分辨的地层厚度为λ／6。小波变换分解法同时也可以识别多薄层组合的存在。

In this paper, a detailed study is made on the definition and the characters of the wavelettransform, and the difference between the wavelet transform and Fourier transform. A particularwavclet-zero-crossing wavelet transform is selected to reeognize thin-reservoir through analysis.The wavelet decomposition of Sine function and the wavelet reconstruction of the original recordare computod respectively. Rreords from different models and their wavelet decomposition diagramare presented. The standard to recognize the existence of thin-rcscrvoir by virtue of theinereasement of wavelet decomposition's phase numbers is given. With this method thin-bedthickness up to λ/6 can be recognized. And at the same time, the existence of thin-reservoir seriescan also be recognized.