| 分形脉冲反褶积方法 |
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| 引用本文： | 王嘉松,曹桂荣.分形脉冲反褶积方法[J].地球物理学报,1998,41(1):99-108. |
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| 作者姓名： | 王嘉松 曹桂荣 |
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| 作者单位： | 1. 南京大学数学系,南京,210093;
2. 南京邮电学院信息网络研究所,南京,210003 |
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| 摘 要： | 解地震反演问题的脉冲反褶积方法是基于反射系数白噪和子波为最小相位的假设下提出的．近几年的研究证明反射系数并不都是白噪，而是某种分形噪声，如果用一类分形反褶积方法，则将地震反演问题化为难以求解的非线性方程组．本文用反射系数的分形性质，推导出一个更为简单易解的线性方程组，称为分形脉冲反褶积．数值计算表明，本文的方法是有效的．
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| 关 键 词： | 地震反演 脉冲反褶积 白噪 分形噪声 分形反褶积 |
| 收稿时间： | 1996-01-22 |
THE METHOD OF FRACTAL IMPULSE DECONVOLUTION |
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| WANG JIA-SONG.THE METHOD OF FRACTAL IMPULSE DECONVOLUTION[J].Chinese Journal of Geophysics,1998,41(1):99-108. |
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| Authors: | WANG JIA-SONG |
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| Institution: | 1. Mathematics Department , Nanjing University, Nanjing 210093, China;
2. Research Group of the Information Natwork, Nanjing Institute of Posts and Telecomnmmication, Nanjing 210003, China |
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| Abstract: | To solve the seismic inverse problem, impulse deconvolution method is based on the assumptions that the reflection sequence is white noise and the wevelet has the property of least phase. Latest research has shown that the reflection sequence is fractal noise rather than white noise. Upon this fact some researchers have brought out a kind of methods called fractal deconvolution methods which turn the seismic inverse problem into a system of nonlinear equations difficulty to solve. Using fractal properties of reflection sequence, this paper deduce a much simple system of linear equations which is easily solved. Numerical results illustrate that this method is efficient. |
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| Keywords: | Seismic inverse Impulse deconvolution White noise Fractal noise Fractal deconvolution |
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