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《Chinese Journal of Geophysics》 2003-04
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GENERALIZED S TRANSFORM AND SEISMIC RESPONSE ANALYSIS OF THIN INTERBEDS

GAO JINGHUAI1 CHEN WENCHAO1 LI YOUMING2 TIAN FANG3 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  
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.
【Fund】: 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 ) .
【CateGory Index】: P631.42
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