| 反射系数与子波同时迭代反演的预条件共轭梯度法 |
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| 引用本文： | 刘喜武,刘洪,李幼铭.反射系数与子波同时迭代反演的预条件共轭梯度法[J].物探化探计算技术,2006,28(3):211-215. |
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| 作者姓名： | 刘喜武 刘洪 李幼铭 |
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| 作者单位： | 1. 中国海洋大学,海洋地球科学学院,山东,青岛,266003
2. 中国科学院,地质与地球物理研究所,北京,100029 |
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| 摘 要： | 在反射系数白噪、子波最小相位的假设下,研究基于线性反演的地震反射系数和子波同时估计问题。在Cauchy准则稀疏反演求解中,应用预条件共轭梯度法实现反射系数和子波同时迭代反演。在迭代求解正则化方程时,用共轭梯度法求解相应的原问题,初猜子波求解也使用该策略。模型数据试算与比较,表明了该算法正确而有效。用实际数据检验算法的实用性,经研究表明,预条件共轭梯度法计算的反射系数和子波,要比直接稀疏反演精度高,而且收敛较快,数值稳定,实用性强。
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| 关 键 词： | 地震盲反褶积 Cauchy准则 迭代反演 预条件共轭梯度 |
| 文章编号： | 1001-1749(2006)03-0211-05 |
| 收稿时间： | 06 2 2005 12:00AM |
| 修稿时间： | 2005年6月2日 |
The preconditional conjugate gradient algorithm for inversion of reflectivity and wavelet by simutanneous iteration |
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| LIU Xi-wu,LIU Hong,LI You-ming.The preconditional conjugate gradient algorithm for inversion of reflectivity and wavelet by simutanneous iteration[J].Computing Techniques For Geophysical and Geochemical Exploration,2006,28(3):211-215. |
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| Authors: | LIU Xi-wu LIU Hong LI You-ming |
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| Abstract: | Assuming white noise reflectivity and minimum phase wavelet,the estimation of them simultaneously by linear inversion algorithm is studied.Under the Cauchy criteria,estimating reflectivity and wavelet simultaneously is implemented by the Pre-conditional Conjugate(PCG) schemes.In solving the inversion problems by CG,it is better to solve the original linear system rather than the normalized system for the good matrix condition number.The same measure is taken in solving the initially guessed wavelet.The model data example shows the validation of the algorithm.The advantages of PCG method is validated by real seismic data too.It can be concluded that the PCG sparseness inversion is better than direct sparseness inversion in numerical stability,converge and precision. |
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| Keywords: | seismic blind de-convolution cauchy criteria iterating inversion pre-conditional conjugate gradient |
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