| 广义S变换与薄互层地震响应分析 |
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| 引用本文： | 高静怀,陈文超,李幼铭,田芳.广义S变换与薄互层地震响应分析[J].地球物理学报,2003,46(4):526-532. |
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| 作者姓名： | 高静怀 陈文超 李幼铭 田芳 |
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| 作者单位： | 1.西安交通大学电子与信息工程学院波动与信息研究所，西安 710049 2 中国科学院地质与地球物理研究所，北京 100029 3 大庆油田公司勘探开发研究院方法室，大庆 163712 |
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| 基金项目： | 国家自然科学基金项目 ( 4 0 1740 3 2 )，科技部和国家自然科学基金重大项目 ( 4 9894190 ) . |
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| 摘 要： | Stockwell等人提出的S变换虽然与Fourier谱能保持直接联系，然而，由于S变换中的基本小波不适用于地震资料处理. 为此本文采用两个步骤对S变换加以推广，得到两种新变换（统称为广义S变换）. 首先， 用带有4个待定参数的调幅简谐波来代替S变换中的基本小波,定义广义S变换1，给出对应的逆变换；然后，以第一步中的基本小波的线性组合为新的基本小波，定义广义S变换2，并构造其逆变换公式. 最后，分别使用S变换及广义S变换对几种典型的薄互层模型进行分析计算. 结果表明，后者比前者有更强的探测能力， 后者可准确地确定厚度为1/8波长的薄互层中波阻抗界面位置，但前者却不能. 文中还用实际资料处理的结果，证明了广义S变换方法的有效性.
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| 关 键 词： | S变换 广义S变换 小波变换 薄互层探测 地震响应分析 |
| 文章编号： | 0001-5733(2003)04-0526-07 |
| 收稿时间： | 2002-3-8 |
| 修稿时间： | 2003-3-7 |
GENERALIZED S TRANSFORM AND SEISMIC RESPONSE ANALYSIS OF THIN INTERBEDS |
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| GAO JINGHUAI.GENERALIZED S TRANSFORM AND SEISMIC RESPONSE ANALYSIS OF THIN INTERBEDS[J].Chinese Journal of Geophysics,2003,46(4):526-532. |
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| Authors: | GAO JINGHUAI |
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| Institution: | 1.Institute of Wave and Information, School of Electronic and Information Engineering, Xi'an Jiaotong University, Beijing 710049, China 2 Institute of Geology and Geophysics, Chinese Academy of Science, Beijing 100029, China 3 Institute of Exploration and Exploitation for Oil, Daqing Oil Field Limited Company, Daqing 163712, China |
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| Abstract: | S transform (ST) proposed by Stockwell et al. is the unique transform that provides frequency-dependent resolution while maintaining a direct relationship with the Fourier spectrum. This feature is very important for applications. However, the ST can't work well for seismic data analysis since its basic wavelet is not appropriate. In this paper, the ST is generalized with two steps, and two kinds of new transforms are obtained, which are called generalized S transform (GST). First, the basic wavelet in ST is replaced by a modulated harmonic wave with four undetermined coefficients, and then a new transform and its inverse are given, called GST1. Second, taking a linear combination of the basic wavelets in step 1 as a new basic wavelet, called GST2, and its inverse is constructed. To compare ST and GST, the ST and GST methods are used to analyze several typical models of thin beds, respectively. The results show that GST has a better resolution than ST. The GST methods can detemine the location of interfaces of acoustic impedance in thin beds of thickness being only an eighth wavelength, while ST method can't. In this study, the effectiveness of GST method is also verified by real data. |
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| Keywords: | S transform Generalized S transform Wavelet transform Detection of thin beds Seismic response analysis |
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