| 线性方程组的正则化解法及其应用 |
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| 引用本文： | 焦荣昌.线性方程组的正则化解法及其应用[J].物探与化探,1994,18(3):200-208. |
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| 作者姓名： | 焦荣昌 |
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| 作者单位： | 上海油气勘探开发研究院, 上海 200120 |
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| 摘 要： | 在重力资料反演解释中,正则化法解线性方程组是一个行之有效的方法。这种方法的特点是引入正则化因子,求泛函极小和构组一族正则化近似并从中寻求最佳解。在求解过程中,要求对所求的解答预先有一个初步的推断解释。为此,要求对所解释的问题先进行一番研究,并对综合利用各种方法和手段所获得的先验资料进行对比,提出比较合适的基望值。本文给出了一个参数为已知的理论模型体的横剖面,与正则化法和其它线性方程解法的结果作对比,说明正则化法的有效性。文章也给出了利用正则化法对横穿吕宋岛、马尼拉海沟的一段地质地球物理剖面以及中国南黄海海域内─地质地球物理调查剖面进行反演解释的应用效果。
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| 关 键 词： | 重力资料反演 正则化解法 线性方程组 |
| 收稿时间： | 1991-01-21 |
| 修稿时间： | 1991-03-20 |
THE REGULARIZED SOLUTION OF LINEAR EQUATIONS SET AND ITS APPLICATION |
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| Institution: | Shanghai Academy of Oil and Gas Exploration and Development, Shanghai 200120 |
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| Abstract: | In inverse interpretation of gravity data,the regularized solution of linear equa-tionsset is an effective method.This method is characterized by introducing regularized factorsevaluating functional minimum and constructing a group of regularized approximate solutions with the desire of seeking for optimum solution.In the process of estimation,it is necessary that there exists in advance a preliminary inference and interpretation for the solution to be obtained.Therefore,one must first make fairly detailed study on the problem to be interpreted,and carry out a comparison on apriori data obtained by integrated utilization of various methods and meansso as to put forward a comparatively desirable fundamental expected value.The present paper gives a transverse profile of theoretical model with known parameters,and a comparison of the result of the regularization method and that of other methods for solutionof linear equations set shows the effectiveness of the regularization method.The paper also describes the effectiveness of utilizing the regularization method to make inverse interpretationfor a geological-geophysical profife across Luzon island and Manila Trench as well as a geologic al-geophysical investigation profile in the sea area of South Yellow Sea. |
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| Keywords: | inversion of gravity data regularized solution linear equations set |
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