基于频率域三维等效源的磁梯度张量转化方法

doi:10.3969/j.issn.1000-1093.2020.11.021

兵工学报 ›› 2020, Vol. 41 ›› Issue (11): 2326-2337.doi: 10.3969/j.issn.1000-1093.2020.11.021

基于频率域三维等效源的磁梯度张量转化方法

李金朋¹，范红波¹，张英堂¹，李志宁¹，尹刚²，孙富成³

（1.陆军工程大学石家庄校区车辆与电气工程系，河北石家庄 050003；2.中国空气动力研究与发展中心高速空气动力研究所，四川绵阳 621000； 3.63880部队，河南洛阳 471003）

上线日期:2020-12-04
作者简介:李金朋（1991—），男，博士研究生。E-mail: 18626648671@163.com
基金资助:
国防科研项目(2017年)

Magnetic Gradient Tensor Transformation Method Based on Three-dimensional Equivalent Source in Frequency Domain

LI Jinpeng¹, FANG Hongbo¹, ZHANG Yingtang¹, LI Zhining¹, YIN Gang², SUN Fucheng³

(1.Department of Vehicle and Electrical Engineering, Shijiazhuang Campus, Army Engineering University, Shijiazhuang 050003,Hebei, China;2. High Speed Aerodynamic Institute, China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan, China;3. Unit 63880 of PLA, Luoyang 471003, Henan, China)

Online:2020-12-04

摘要/Abstract

摘要： 针对传统空间域条件下等效源计算方法中存在参数设计复杂、受噪声影响较大的问题，提出基于频率域等效源的磁梯度张量正则化转化方法。给出基于频率域地下水平长方体层的磁梯度张量正演理论，为频率域的反演计算提供理论基础；构建频率域三维等效源，并利用迭代法自适应确定地下网格划分深度与精度，实现计算过程的自动化。采用C范数正则化选择方法对地下等效源模型的磁梯度张量数据进行正演计算，提高了计算结果的稳定性。仿真和试验结果表明，在噪声条件下，该方法能够准确还原磁性异常体的磁梯度张量数据，具有较好的抗噪性以及计算效率。

关键词: 等效源, 频率域, 磁梯度张量, 迭代法, C范数正则化

Abstract: A magnetic gradient tensor transformation method based on three-dimensional equivalent source in frequency domain is proposed for the complex design and great noise effect of the equivalent source calculation method under the condition of traditional space domain. Firstly,a magnetic gradient tensor forward modeling theory of the underground horizontal rectangular parallelepiped layer based on the frequency domain is proposed, which provides a theoretical basis for the inversion calculation of frequency domain. And then a three-dimensional equivalent source of frequency domain is constructed, and the iterative method is used to determine the depth and precision of the underground mesh division, which realizes the automation of the calculation process. Finally, the C-norm regularization selection method is used to perform forward calculation on the magnetic gradient tensor data of underground equivalent source model, which improves the stability of the calculated results. The simulated and experimental results show that the proposed method can accurately reflect the magnetic gradient tensor data of magnetic anomalies under noise conditions, and has good noise immunity and computational efficiency.

Key words: equivalentsource, frequencydomain, magneticgradienttensor, iterativemethod, C-normregularizationselectionmethod

中图分类号:

O441.2

李金朋, 范红波, 张英堂, 李志宁, 尹刚, 孙富成. 基于频率域三维等效源的磁梯度张量转化方法[J]. 兵工学报, 2020, 41(11): 2326-2337.

LI Jinpeng, FANG Hongbo, ZHANG Yingtang, LI Zhining, YIN Gang, SUN Fucheng. Magnetic Gradient Tensor Transformation Method Based on Three-dimensional Equivalent Source in Frequency Domain[J]. Acta Armamentarii, 2020, 41(11): 2326-2337.

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基于频率域三维等效源的磁梯度张量转化方法

Magnetic Gradient Tensor Transformation Method Based on Three-dimensional Equivalent Source in Frequency Domain

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