| 基于小波与分形理论的地震异常检测 |
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| 引用本文： | 曹茂森,任青文,王怀洪.基于小波与分形理论的地震异常检测[J].地球物理学报,2005,48(3):672-679. |
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| 作者姓名： | 曹茂森 任青文 王怀洪 |
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| 作者单位： | 1.河海大学土木工程学院，南京210098 2山东农业大学水利土木工程学院，泰安271018 3山东科技大学地球信息科学与工程学院，泰安271019 |
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| 基金项目： | 国家自然科学基金项目 (5 0 3 790 0 5 )，水利部科技创新基金资助项目 (SCX2 0 0 0 5 6)资助 |
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| 摘 要： | 为了提高地震异常检测精度，探讨了小波与分形结合的地震异常检测方法.首先采取功率谱密度对地震波的分形性质进行分析，得出其具有且仅在几个高频段具有自仿射分形性质，这为分形的合理应用提供了依据并揭示了现有单一综合分形维方法的不足；继而提出了频率、时间有序的无次采样小波包变换(FOTO NWPT)，该算法为地震波分形分析创造了优良平台.基于前两者，提出了小波与分形优势结合的地震异常检测方法：由FOTO NWPT将地震波分解在若干尺度上，依据尺度关联维分析构建地震剖面分形参数空间，参数奇异标志了地震异常.工程实验证明，该方法比现有方法的科学性和实用性更强，为实现度量参数化精细地震勘探提供了一条新的思路.
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| 关 键 词： | 地震波 分形性质 频率、时间有序的无次采样小波包算法 关联维 剖面分形维谱 异常检测 |
| 文章编号： | 0001-5733(2005)03-0672-08 |
| 收稿时间： | 2003-12-29 |
| 修稿时间： | 2004-12-29 |
A method of detecting seismic singularities using combined wavelet with fractal |
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| CAO Mao-sen,REN Qing-wen,WANG Huai-hong.A method of detecting seismic singularities using combined wavelet with fractal[J].Chinese Journal of Geophysics,2005,48(3):672-679. |
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| Authors: | CAO Mao-sen REN Qing-wen WANG Huai-hong |
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| Institution: | 1.College of Civil Engineering, Hohai University, Nanjing 210098, China 2 College of Water Conservancy and Civil Engineering, Shandong Agricultural University, Tai'an 271018, China 3 College of Geoinformation Science and Engineering, Shandong University o |
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| Abstract: | A new method of utilizing combined wavelet with fractal to detect seismic singularities is proposed aiming at improving the detecting precision. Firstly the fractal property of seismic wave is comprehensively investigated based on its power spectrum density analysis, and the conclusion is made that seismic wave is of self-affine fractal property only in several higher frequency bands. This not only provides the theoretic foundation for reasonably applying fractal into seismic wave analysis, but also reveals the shortage of employing single integrated fractal dimension to detect seismic singularities. Secondly an algorithm of frequency and time-ordered non-decimated wavelet packet transform is put forward to produce excellent platform for fractal analysis of seismic wave. On the basis of the above two aspects, a wavelet-fractal based method for detecting seismic singularities is developed, which consists of three successive steps: seismic wave is decomposed into multi-scale coefficient sequences, and then fractal-parameter space of seismic profile is constructed depending on the correlation dimension analysis of effective scale coefficient sequences; in the end, singular parameters are identified and they indicate the seismic singularities. An engineering example shows that the proposed method outperforms the existing wavelet and fractal concerned methods in rationality and practicability, so it provides a new approach for parameterized accurate seismic geophysical prospecting. |
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| Keywords: | Seismic wave Frequency and time-ordered non-decimated wavelet packet transform Correlation dimension Profile fractal dimension spectrum Singularity detection |
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