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基于高维连续小波变换的地震资料不连续性检测方法研究
引用本文:王晓凯,高静怀,陈文超,杨长春,朱振宇.基于高维连续小波变换的地震资料不连续性检测方法研究[J].地球物理学报,2016,59(9):3394-3407.
作者姓名:王晓凯  高静怀  陈文超  杨长春  朱振宇
作者单位:1. 西安交通大学计算地球物理科学系, 西安 710049;2. 中国科学院地质与地球物理研究所, 北京 100029;3. 西安交通大学电子与信息工程学院, 西安 710049;4. 中海油研究总院, 北京 100027
基金项目:国家自然科学基金(41390454,41504092,41274125)、中国博士后基金(2016T90925,2015M572566)、中央高校基本科研业务费专项资金及北京数学与信息交叉科学协同创新中心油气勘探与开发平台联合资助.
摘    要:断层等不连续性结构的检测在地震勘探中具有重要的意义.本文简单介绍了高维连续小波变换的基本理论,包括:高维连续小波变换的定义、高维小波变换系数的切片以及快速实现方法等,利用典型的合成信号说明了高维连续小波变换具有更好的方向选择性(相比于常用的高维张量积小波变换),将高维连续小波变换引入地震资料不连续性检测,并提出了利用小尺度高维连续小波变换系数检测地震资料不连续性的方法,同时给出了方法的实现流程.合成信号以及实际三维地震数据处理效果验证了本文所提方法的有效性.

关 键 词:高维连续小波变换  快速傅里叶变换  不连续性  
收稿时间:2014-08-14

Detecting method of seismic discontinuities based on high dimensional continuous wavelet transform
WANG Xiao-Kai,GAO Jing-Huai,CHEN Wen-Chao,YANG Chang-Chun,ZHU Zhen-Yu.Detecting method of seismic discontinuities based on high dimensional continuous wavelet transform[J].Chinese Journal of Geophysics,2016,59(9):3394-3407.
Authors:WANG Xiao-Kai  GAO Jing-Huai  CHEN Wen-Chao  YANG Chang-Chun  ZHU Zhen-Yu
Institution:1. Institute of wave and information, Xi'an Jiaotong University, Xi'an 710049, China;2. Institute of Geology and Geophysics, The Chinese Academy of Sciences, Beijing 100029, China;3. School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China;4. Research Center of CNOOC, Beijing 100027, China
Abstract:Seismic discontinuous structures, such as faults, play an important role in seismic exploration. We first introduce the basic theory of high-dimensional continuous wavelet transform, including the definition of high-dimensional continuous wavelet transform, slices of high-dimensional continuous wavelet transform coefficients and the fast realization of high-dimensional continuous wavelet transform. We use a synthetic signal example to illustrate that the high-dimensional continuous wavelet transform has good angular resolution compared with high-dimensional separable wavelet transform. Then we introduce high-dimensional continuous wavelet transform to seismic discontinuity detection for the first time and propose a seismic discontinuities detecting method based on small-scale high-dimensional continuous wavelet transform coefficients. The realization procedures of the proposed method are also presented. Finally, synthetic signal examples and field examples confirm the effeteness of the proposed method.
Keywords:High dimensional CWT  Fast Fourier transform  Seismic discontinuities
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