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解释重磁资料中最优化选择法的若干问题
引用本文:周熙襄,钟本善,冯敬英.解释重磁资料中最优化选择法的若干问题[J].地球物理学报,1980,23(1):66-83.
作者姓名:周熙襄  钟本善  冯敬英
作者单位:成都地质学院
摘    要:本文中我们将拟牛顿法应用到磁力、重力资料的自动解释中来,通过计算对比说明,在收敛的稳定性上拟牛顿法比常用的阻尼最小二乘法大为优越。文中又讨论了最优化选择法的收敛性、多解性、模型体的选择、参量的选择和约束,以及解释三个矿区磁异常的实例。

关 键 词:最优化选择  叠代过程  阻尼最小二乘法  重磁资料  多解性  拟牛顿法  长方体  收敛速度  磁异常  组合模型  
收稿时间:1978-03-21

CERTAIN PROBLEMS OF THE CURVE-MATCHING OPTIMIZATION METHOD IN THE INTERPRETATION OF MAGNETIC AND GRAVITY DATA
Zhou Xi-xiang,Zhong Ben-shan,Feng Jing-ying.CERTAIN PROBLEMS OF THE CURVE-MATCHING OPTIMIZATION METHOD IN THE INTERPRETATION OF MAGNETIC AND GRAVITY DATA[J].Chinese Journal of Geophysics,1980,23(1):66-83.
Authors:Zhou Xi-xiang  Zhong Ben-shan  Feng Jing-ying
Institution:Chengtu Geological Institute
Abstract:In this paper, we applied the Quasi-Newton method of non-linear optimization to the automatic interpretation of magnetic and gravity anomalies. A comparison of the results of computations indicates that Quasi-Newton method is more efficient than damped least squares (Marquardt's) method in stability of convergence. We also dis-cussed convergence, ambiguity, choice of models and their parameters and constraints of the curve-matching optimization method. Three examples of interpertation of magne-tic anomalies by the optimization method are given.
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