基于归一化磁源强度的聚焦反演方法

摘要

针对剩磁条件下铁磁物质反演中存在的问题,提出基于归一化磁源强度的聚焦反演方法.首先,利用归一化磁源强度作为实测数据对磁性目标进行反演,减弱剩余磁化对反演结果的影响;然后,利用深度加权矩阵和最小支撑矩阵对经典Tikhonov正则化理论框架下的反演模型进行约束得到目标函数,并有效解决了核函数随深度增大而快速衰减的问题;最后,通过对目标函数进行迭代奇异值分解获得最佳物性参数,并根据Morozov偏差原则自适应地确定目标函数在迭代过程中的正则化参数,提高了迭代速度和求解精度.%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.