基于正交基函数的矢量磁梯度异常探测

doi:10.3969/j.issn.1000-1093.2021.11.017

摘要/Abstract

摘要： 磁异常探测技术是一种快速有效的非接触式感知手段。针对传统的标量正交基函数(OBF)检测器获取的磁场信息有限，而矢量OBF检测器得到的磁场信息受地球磁场晃动影响显著的问题，推导一种兼具丰富磁场信息以及抗晃动性能的矢量磁梯度OBF检测器。证明当测量噪声服从高斯独立同分布时，矢量OBF检测器相较于标量OBF检测器具有更低的检测虚警率，且空间采样长度是影响OBF检测器性能的关键因素。仿真和实测结果表明：矢量磁梯度OBF检测器相对于传统检测器具有更优的检测性能，降低空间采样长度可以明显提升其探测性能；矢量磁梯度OBF检测器在低信噪比条件下可以反演得到磁性目标的磁矢量梯度信号，利用粒子群参数估计算法能估计得到目标的位置参数和磁矩参数。

关键词: 磁梯度异常, 正交基函数, 矢量磁梯度, 参数估计算法, 空间采样长度

Abstract: The conventional scalar orthogonal basis function (OBF) detector is used to obtain limited magnetic field information，while the vector OBF detector is significantly influenced by the swaying motion of magnetic field of the earth. To solve above problems，an OBF detector with rich magnetic field information and anti-swaying performance is presented for vector magnetic gradient detection. When measurement noise obeys Gauss's independent distribution， the vector OBF detector has the lower false alarm rate compared with scalar OBF detector，and the spatial sampling length is the main factor affecting the performance of OBF detector. The simulated and experimental results show that the vector magnetic gradient OBF detector has better detection performance than traditional detector， and the performance of the detector can be improved by shortening the spatial sampling length. In addition, based on the vector magnetic gradient signal retrieved by the vector magnetic gradient OBF detector under the condition of low signal-to-noise ratio, the position parameters and magnetic moment parameters of target can be obtained by the particle swarm optimization (PSO) parameter estimation algorithm.

Key words: magneticgradientanomaly, orthonormalbasisfunction, vectormagneticgradient, parameterestimationalgorithm, spatialsamplinglength

中图分类号:

TJ61⁺7

马剑飞，颜冰，林春生. 基于正交基函数的矢量磁梯度异常探测[J]. 兵工学报, 2021, 42(11): 2433-2443.

MA Jianfei， YAN Bing， LIN Chunsheng. Magnetic Vector Gradient Anomaly Detection Based on OBF[J]. Acta Armamentarii, 2021, 42(11): 2433-2443.

参考文献

［1］ LIN J， WANG M C， ZHAO J. Review: progress in SQUID-based geophysical precision measurement technology[J]. Journal of Harbin Institute of Technology (New Series)，2020， 27(3):101-115.
[2] ALLEN G I，MATTHEWS R，WYNN M. Mitigation of platform generated magnetic noise impressed on a magnetic sensor mounted in an autonomous underwater vehicle[C]∥Proceedings of MTS/IEEE Oceans 2001. Honolulu， HI， US: IEEE，2001.
[3] ALLEN G I，SULZBERGER G，BONO J T，et al．Initial evaluation of the new real-time tracking gradiometer designed for small unmanned underwater vehicles[C]∥Proceedings of MTS/IEEE Oceans 2005. Washington，DC， US： IEEE，2005．
[4] GINZBURG B，FRUMKIS L，KAPLAN B Z. Processing of magnetic scalar gradiometer signals using orthonormalized functions[J]. Sensors and Actuators A: Physical，2002， 102(1/2):67-75.
[5] SHEINKER A，MOLDWIN M B. Magnetic anomaly detection (MAD) of ferromagnetic pipelines using principal component analysis (PCA) [J]. Measurement Science & Technology，2016， 27(4): 045104.
[6] SHEINKER A，SALOMONSKI N， GINZBURG B，et al. Magnetic anomaly detection using entropy filter[J].Measurement Science and Technology，2008，19(4): 045205．
[7] SHEINKER A，GINZBURG B，SALOMONSKI N，et al.Magnetic anomaly detection using high-order crossing method[J].IEEE Transactions on Geoscience & Remote Sensing，2012， 50(4):1095-1103.
[8] SHEINKER A，SHKALIM A，SALOMONSKI N， et al. Processing of a scalar magnetometer signal contaminated by 1/f^α noise[J]. Sensors and Actuators A: Physical，2007， 138(1): 105-111．
[9] SCHMELZ M，STOLZ R，ZAKOSARENKO V，et al. Field-stable SQUID magnetometer with sub-fT Hz^-1/2 resolution based on sub-micrometer cross-type Josephson tunnel junctions[J].Superconductor Science & Technology，2011，24(6):065009.
[10] SCHMELZ M，ZAKOSARENKO V， CHWALA A，et al.Thin-film based ultralow noise SQUID magnetometer[J].IEEE Transactions on Applied Superconductivity， 2016，26(5): 1600804.
[11] 张光，张英堂，李志宁，等．载体平动条件下的磁梯度张量定位方法[J]. 华中科技大学学报(自然科学版)，2013，41(1): 21-24．
ZHANG G，ZHANG Y T，LI Z N，et al. Localizing method of magnetic field gradient tensor under carriers moving parallelly[J]. Journal of Huazhong University of Science＆Technology (Natural Science Edition)，2013，41(1):21-24.（in Chinese）
[12] 于振涛，吕俊伟，许素琴，等.运动平台的磁性目标实时定位方法[J]. 哈尔滨工程大学学报，2015，36(5): 606-610．
YU Z T， L J W， XU S Q，et al．A real-time localization method of a magnetic target based on moving flat[J].Journal of Harbin Engineering University， 2015， 36(5):606-610. （in Chinese）
[13] 迟铖，任建存，吕俊伟，等.基于磁梯度张量的目标多测量点线性定位方法[J].探测与控制学报，2017，39(5): 58-62，70．
CHI C，REN J C，L J W，et al.Linear localization method based on magnetic gradient tensor of muliti-points[J]. Journal of Detection & Control，2017，39(5):58-62，70.（in Chinese）
[14] CHWALA A，SCHMELZ M， ZAKOSARENKO V，et al.Underwater operation of a full tensor SQUID gradiometer system[J].Superconductor Science and Technology，2019，32(2): 024003.
[15] 钟炀，管彦武，石甲强，等.利用IGRF模型计算全张量地磁梯度[J].物探与化探，2020，44(3):582-590.
ZHONG Y，GUAN Y W，SHI J Q，et al．The calculation method of full tensor geomagnetic gradient based on IGRF model[J]. Geophysical and Geochemical Exploration，2020，44(3):582-590.（in Chinese）
[16] GINZBURG B，FRUMKIS L，KAPLAN B Z. An efficient method for processing scalar magnetic gradiometer signals[J].Sensors and Actuators A: Physical，2004，114(1):73-79.
[17] FRUMKIS L， GINZBURG B， SALOMONSKI N，et al. Optimization of scalar magnetic gradiometer signal processing[J]. Sensors and Actuators A: Physical，2005，121(1):88-94.
[18] 张朝阳，肖昌汉，高俊吉，等．磁性物体磁偶极子模型适用性的试验研究[J]. 应用基础与工程科学学报，2010，18(5):862-868．
ZHANG C Y，XIAO C H，GAO J J，et al．Experiment research of magnetic dipole model applicability for a magnetic object[J]. Journal of Basic Science and Engineering，2010，18( 5): 862-868．（in Chinese）
[19] KENNEDY J，EBERHART R.Particle swarm optimization[C]∥Proceedings of the 4th International Conference on Neural Networks. Perth， WA，Australia：IEEE，1995：1942-1948．

第42卷第11期2021 年11月
兵工学报ACTA ARMAMENTARII
Vol.42No.11Nov.2021

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