Liu Gaigai, Zhang Yingzi, Liu Wenyi
State Key Laboratory of Dynamic Measurement Technology, North University of China, Taiyuan 030051, China.
Sensors (Basel). 2024 Jun 24;24(13):4083. doi: 10.3390/s24134083.
Magnetic anomaly detection (MAD) technology based on the magnetic gradient tensor (MGT) has broad application prospects in fields such as unexploded ordnance detection and mineral exploration. The difference approximation method currently employed in the MGT measurement system introduces measurement errors. Designing reasonable geometric structures and configuring optimal structural parameters can effectively reduce measurement errors. Based on research into differential MGT measurement, this paper proposes three simplified planar MGT measurement structures and provides the differential measurement matrix. The factors that affect the design of the baseline distance of the MGT measurement system are also theoretically analyzed. Then, using the magnetic dipole model, the error analysis of the MGT measurement structures is carried out. The results demonstrate that the planar cross-shaped structure is optimal, with the smallest measurement error, only 3.15 × 10 T/m. Furthermore, employing the control variable method, the impact of sensor resolution constraints, noise level, target magnetic moment, and detection distance on the design of the optimal baseline distance of the MGT measurement system is simulated and verified. The results indicate that the smaller the target magnetic moment, the farther the detection distance, the lower the magnetometer resolution, the greater the noise, and the greater the baseline distance required. These conclusions provide reference and guidance for the construction of the MGT measurement system based on triaxial magnetometers.
基于磁梯度张量(MGT)的磁异常探测(MAD)技术在未爆弹药探测和矿产勘探等领域具有广阔的应用前景。目前MGT测量系统中采用的差分近似方法会引入测量误差。设计合理的几何结构并配置最优的结构参数可有效降低测量误差。基于对差分MGT测量的研究,本文提出了三种简化的平面MGT测量结构并给出了差分测量矩阵。还从理论上分析了影响MGT测量系统基线距离设计的因素。然后,利用磁偶极子模型对MGT测量结构进行了误差分析。结果表明,平面十字形结构最优,测量误差最小,仅为3.15×10 T/m。此外,采用控制变量法,模拟并验证了传感器分辨率约束、噪声水平、目标磁矩和探测距离对MGT测量系统最优基线距离设计的影响。结果表明,目标磁矩越小、探测距离越远、磁力计分辨率越低、噪声越大,所需的基线距离就越大。这些结论为基于三轴磁力计的MGT测量系统的构建提供了参考和指导。