| 地震资料处理中小波函数的选取研究 |
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| 引用本文： | 高静怀,朱光明.地震资料处理中小波函数的选取研究[J].地球物理学报,1996,39(3):392-400. |
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| 作者姓名： | 高静怀 朱光明 |
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| 作者单位： | 1. 西安交通大学电子与信息工程学院，西安710049;
2. 西安地质学院信息工程系，西安710054;
3. 山东工业大学电子工程系，济南250014 |
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| 摘 要： | 本文给出了常见地震子波的一个模拟公式，可以很好地模拟零相位及混合相位子波，在一定意义上也可以近似模拟最大相位及最小相位子波．模拟出的子波加上适当的修正项后满足允许条件，可用作小波函数．与Ｍｏｒｌｅｔ小波类似，在实际应用中这些修正项在一定条件下可以略去，文中对Ｍｏｒｌｅｔ小波作了改造，使其能更好地适应于地震资料处理．研究了反射波能量及噪声等干扰波在时间－尺度域的分布特征与所选基本小波的关系．提出用地震子波（或与地震子波相近的函数）作为基本小波，对地震资料进行去噪及分频解释的方法．最后用实例证明方法的有效性．
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| 关 键 词： | 小波变换 小波函数 地震资料处理 |
| 收稿时间： | 1995-04-19 |
ON THE CHOICE OF WAVELET FUNCTIONS FOR SEISMIC DATA PROCESSING |
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| GAO JING-HUAI, WANG WEN-BING, ZHU GUANG-MING,PENG YU-HUA, WANG YU-GUI.ON THE CHOICE OF WAVELET FUNCTIONS FOR SEISMIC DATA PROCESSING[J].Chinese Journal of Geophysics,1996,39(3):392-400. |
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| Authors: | GAO JING-HUAI WANG WEN-BING ZHU GUANG-MING PENG YU-HUA WANG YU-GUI |
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| Institution: | 1. School of electronics&information engineering, Xian Jiaotong Univ., Xian., 710049, China;
2. Xian college of geology, Xian, 710054, China ;
3. Shandong Industrial Univ.Jinan, 250014, China |
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| Abstract: | In this paper, a formula is given to well simulate the usual seismic wavelet to make the wavelet zero phase, etc. It can also simulate the wavelets of maximum phase and minimum phase approximately. The proposed wavelets with the small correction terms can satisfy the admissible condition. Similar to Morlet wavelet, thesecorrection terms can be ignored under some conditions. The Morlet wavelet is modifiled to be more suitable for the seismic data processing.On the basis of the changing wavelet model, the relationship between the energy distribution of reflected wave in time-scale domains and the selected wavelet are investigated. To make a comparison, the energy distribution of other waves like noise are studied as well. As a conclusion, the proposed wavelets in the paper are suitable for denoting and interpretation of seismic data. The efficiency of the method have been proved by modeling and examples. |
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| Keywords: | Wavelet transform Wavelet functions Seismic data processing |
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