| 断层模型重力异常反演的正则化算法 |
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| 引用本文： | 刘唐伟,徐定华.断层模型重力异常反演的正则化算法[J].宁夏大学学报(自然科学版),2006,27(2):115-118. |
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| 作者姓名： | 刘唐伟 徐定华 |
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| 作者单位： | 东华理工学院,计算科学系,江西,抚州,344000 |
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| 基金项目： | 国家自然科学基金;江西省自然科学基金;江西省教育厅科研项目 |
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| 摘 要： | 研究了一类垂直断层效应反演问题．该问题可转化为第一类Fredholm积分方程的求解，为了克服该问题数值求解的不适定性，采用Tikhonov正则化策略进行求解，并基于条件稳定性进行了算法设计．
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| 关 键 词： | 垂直断层反演问题 第一类积分方程 Tikhonov正则化算法 数值计算 |
| 文章编号： | 0253-2328（2006）02-0115-04 |
| 收稿时间： | 2006-04-10 |
| 修稿时间： | 2006-04-10 |
A Regularization Algorithm of the Integral Equation for an Gravity Anomaly Inverse Problem of Faultage Effect |
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| Liu Tangwei,Xu Dinghua.A Regularization Algorithm of the Integral Equation for an Gravity Anomaly Inverse Problem of Faultage Effect[J].Journal of Ningxia University(Natural Science Edition),2006,27(2):115-118. |
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| Authors: | Liu Tangwei Xu Dinghua |
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| Institution: | Department of Computational Science, East China Institute of Technology, Fuzhou 344000, China |
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| Abstract: | In this paper, a class of inverse problems of perpendicular faultage effect is discussed. The solving of problem is transformed to solving the first kind Fredholm integral equation. The Tikhonov regularization method is used to solve the ill-posed integral equation problem . Based on the conditional stability, a stabilized algorithm is presented. |
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| Keywords: | inverse problem of faultage effect the first kind integral equation Tikhonov regularization algorithm numerical computation |
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