大地测量与地球动力学2017,Vol.37Issue(10):1045-1048,4.DOI:10.14075/j.jgg.2017.10.012
基于归一化磁源强度的聚焦反演方法
Focus Inversion Method Based on Normalized Source Strength
摘要
Abstract
For the ferromagnetic materials inversion problems under the effects of remanent magnetization,we propose a method based on the focus regularized inversion method based on normalized source strength.First,we use normalized source strength as measured data to make the target inversion to weaken the influence of the remanent magnetization on the inversion results.Then,depth weighting matrix and minimal support matrix are added to the inversion model of Tikhonov regularization theoretical framework to obtain the objective function.This avoids the multiple results caused by the inversion problem caused by the number of inverse parameters being greater than observational points and effectively solves the kernel function.Finally,this function calculates the optimal physical parameters by singular value decomposition.We apply the Morozov deviation principle to adaptively determine the regularization parameter in the iterative process,increasing the iterative speed and the solution accuracy.关键词
归一化磁源强度/深度加权/最小支撑矩阵/奇异值分解/Morozov偏差原则Key words
normalized source strength/the depth weighting matrix/the minimum support matrix/the singular value decomposition/Morozov deviation principle分类
天文与地球科学引用本文复制引用
李金朋,张英堂,范红波,李志宁,尹刚,杜运超..基于归一化磁源强度的聚焦反演方法[J].大地测量与地球动力学,2017,37(10):1045-1048,4.基金项目
National Natural Science Foundation of China,No.51305454 ()
National Defense Scientific Project.国家自然科学基金(51305454) (51305454)
国防科研项目. ()