斜磁化条件下多磁源目标的边界识别方法

doi:10.3969/j.issn.1000-1093.2020.10.013

摘要/Abstract

摘要： 针对传统磁源边界识别方法在斜磁化条件下对多磁源目标识别能力较差的问题，提出斜磁化条件下多磁源目标的边界识别方法。根据矢量合成原理将磁场分量转化为总幅值异常以及方向余弦，利用改进K奇异值分解方法重建磁信号。利用归一化磁源强度与化极互相关的方法估计不同计算区域内磁源的磁化方向，将磁测数据转化为垂直磁化条件下的磁测数据。通过磁梯度张量矩阵特征值的绝对值之和与垂直条件下磁场沿z轴方向的分量在z轴方向上梯度的比值对磁源的水平边界进行求解，实现了对磁源水平边界的估计。仿真和试验结果表明，该方法能够准确识别斜磁化条件下多目标磁源的边界，且具有较强的抗噪性。

关键词: 磁源, 边界识别, 改进K奇异值分解, 磁化方向, 磁梯度张量

Abstract: The traditional edge detection method has poor recognition ability for multi-magnetic source targets under the condition of oblique magnetization. An edge detection method of multiple magnetic sources under the condition of oblique magnetization is proposed. The components of magnetic field are transformed into total magnitude anomaly and direction cosines according to vector composition principle, and an improved K singular value decomposition denoising model is proposed to reconstruct the magnetic data. The magnetization direction of each magnetic source is estimated by correlation between normalized magnetic source strength and a general phase transformation of the total magnetic intensity. The magnetic gradient tensor is transformed into the tensor data, which would be produced by the same sources with vertical magnetization. The horizontal edges of multiple magnetic sources are estimated from the ratio of the sum of the absolute values of the matrix eigenvalues of the transformed magnetic gradient tensor to the gradient component of magnetic field component along the direction of z axis in the direction of z axis. The method is tested both on synthetic magnetic data and real magnetic data. The results show that the proposed method considerably reduces the effects of oblique magnetization, and has a good ability to resist noise.

Key words: magneticsource, edgedetection, improvedKsingularvaluedecomposition, magnetizationdirection, magneticgradienttensor

中图分类号:

P318.6⁺3

李金朋，范红波，张英堂，李志宁，尹刚. 斜磁化条件下多磁源目标的边界识别方法[J]. 兵工学报, 2020, 41(10): 2033-2044.

LI Jinpeng, FANG Hongbo, ZHANG Yingtang, LI Zhining, YIN Gang. Edge Detection Method of Multiple Magnetic Sources under the Condition of Oblique Magnetization[J]. Acta Armamentarii, 2020, 41(10): 2033-2044.

参考文献

［1］舒晴,马国庆,刘财,等.全张量磁梯度数据解释的均衡边界识别及深度成像技术［J］. 地球物理学报, 2018, 61(4):1539-1548.
SHU Q, MA G Q, LIU C, et al. Balanced edge detection and depth imaging technique for the interpretation of full-tensor magnetic gradient data［J］. Chinese Journal of Geophysics, 2018, 61(4): 1539-1548. (in Chinese)
［2］李金朋, 张英堂, 范红波, 等. 强剩磁条件下磁性目标三维正则化聚焦反演方法［J］.兵工学报, 2018, 39(11):2202-2210.
LI J P, ZHANG Y T, FAN H B, et al. Three-dimensional focusing inversion of magnetic target in the presence of significant remanence［J］. Acta Armamentarii, 2018,39(11):2202-2210. (in Chinese)
［3］尹刚, 张英堂, 米松林, 等. 基于倾斜角和Helbig方法的多磁源目标反演技术［J］. 上海交通大学学报, 2017, 51(5):577-584.
YIN G, ZHANG Y T, MI S L, et al. Multiple magnetic target inversion technique based on tilt angle and Helbig method［J］. Journal of Shanghai Jiao Tong University, 2017, 51(5): 577-584. (in Chinese)
［4］郭华,韩松,郑强,等.全张量磁梯度数据的斜导数特征值边界识别方法研究［J］.地球物理学报,2019,62(9):3580-3590.
GUO H, HAN S, ZHENG Q, et al. Oblique derivative edge detection method research on full tensor magnetic gradient data［J］. Chinese Journal of Geophysics, 2019, 62(9):3580-3590. (in Chinese)
［5］李青竹, 李志宁, 张英堂, 等. 张量衍生不变关系下的磁源单点定位［J］. 光学精密工程, 2019, 27(8):1880-1893.
LI Q Z, LI Z N, ZHANG Y T, et al. Magnetic source single-point positioning by tensor derivative invariant relations［J］. Optics and Precision Engineering, 2019, 27(8):1880-1893. (in Chinese)
［6］ ROEST W R, VERHOEF J, PILKINGTON M. Magnetic interpretation using the 3-D analytic signal ［J］. Geophysics, 1992, 57(1): 116-125.
［7］ MILLER H G, SINGH V. Potential field tilt-a new concept for location of potential field sources ［J］. Journal of Applied Geophy- sics, 1994, 32(2/3): 213-217.
［8］ MA G Q. Edge detection of potential field data using improved local phase filter ［J］. Exploration Geophysics, 2013, 44(1): 36-41.
［9］ WIJNS C, PEREZ C, KOWALCZY P. Theta map: edge detection in magnetic data［J］. Geophysics, 2006, 71(3): L39-L43.
［10］ MA G Q, LI L L. Edge detection in potential fields with the normalized total horizontal derivative［J］. Computers & Geosciences, 2012, 41: 83-87.
［11］ LI L L, MA G Q, DU X J. Edge detection in potential-field data by enhanced mathematical morphology filter［J］. Pure and Applied Geophysics, 2013, 170(4): 645-653.
［12］ DU W, WU Y G, GUAN Y W, et al. Edge detection in potential filed using the correlation coefficients between the average and standard deviation of vertical derivatives［J］. Journal of Applied Geophysics, 2017, 143: 231-238.
［13］秦秀颖, 鲁光银, 朱自强, 等. 磁力张量数据的目标体边界识别方法探讨［J］. 物探化探计算技术, 2016, 38(1):19-29.
QIN X Y, LU G Y, ZHU Z Q, et al. Discussion of magnetic gradient tensor data target body boundary identification methods［J］. Computing Techniques for Geophysical and Geochemical Exploration, 2016, 38(1):19-29. (in Chinese)
［14］黄玉. 地磁场测量及水下磁定位技术研究［D］. 哈尔滨: 哈尔滨工程大学, 2011.
HUANG Y. Geomagnetic field measurement and study on underwater magnetic localization technology［D］. Harbin: Harbin Engineering University, 2011. (in Chinese)
［15］ ELAD M, AHARON M. Image denoising via sparse and redundant representations over learned dictionaries［J］. IEEE Transactions on Image Processing, 2006, 15(12): 3736-3745.
［16］陈海龙, 王长龙, 左宪章, 等. 磁记忆梯度张量测量信号预处理方法［J］. 系统工程与电子技术, 2017, 39(3):488-493.
CHENG H L, WANG C L, ZUO X Z, et al. Metal magnetic memory gradient tensor signal processing method［J］. Systems Engineering and Electronics, 2017, 39(3):488-493. (in Chinese)
［17］ CLARK D A. Methods for determining remanent and total magnetisations of magnetic sources-a review［J］. Exploration Geophysics, 2014,45(4): 271-304.
［18］ LI J P, ZHANG Y T, YIN G, et al. An approach for estimating the magnetization direction of magnetic anomalies［J］. Journal of Applied Geophysics, 2017, 137: 1-7.
［19］ YIN G, ZHANG Y T, MI S L, et al. Calculation of the magnetic gradient tensor from total magnetic anomaly field based on regularized method in frequency domain［J］. Journal of Applied Geophysics, 2016, 134: 44-54.
［20］ YIN G, ZHANG Y T, FAN H B, et al. One-step calibration of magnetic gradient tensor system with nonlinear least square me-thod［J］. Sensors and Actuators A: Physical, 2015, 229: 77-85.

第41卷第10期2020 年10月
兵工学报ACTA ARMAMENTARII
Vol.41No.10Oct. 2020

[1]	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.
[2]	贾文抖，林春生，孙玉绘，翟国君. 地磁场中磁目标的等效衰减磁矩定位方法[J]. 兵工学报, 2018, 39(2): 283-289.
[3]	李金朋，张英堂，范红波，李志宁，张光. 强剩磁条件下磁性目标三维正则化聚焦反演方法[J]. 兵工学报, 2018, 39(11): 2202-2210.
[4]	陈海龙，王长龙，左宪章，朱红运. 基于磁记忆梯度张量信号的缺陷二维反演研究[J]. 兵工学报, 2017, 38(5): 995-1001.
[5]	杨小龙，李德才，邢斐斐. 大间隙多级磁源磁性液体密封的实验研究[J]. 兵工学报, 2013, 34(12): 1620-1624.
[6]	1:谭庆昌、孟慧琴、修世超;2:彭履忠. 永磁轴承磁化方向的研究[J]. 兵工学报, 1993, 14(2): 59-63.