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物探与化探  2021, Vol. 45 Issue (2): 473-479    DOI: 10.11720/wtyht.2021.1307
  方法研究·信息处理·仪器研制 本期目录 | 过刊浏览 | 高级检索 |
理论模型分析卡尔曼滤波在航空全张量磁力梯度测量中的应用效果
孟庆奎1,2(), 周坚鑫1,2, 舒晴1,2, 高维2, 徐光晶2, 王晨阳2
1.自然资源部 航空地球物理与遥感地质重点实验室,北京 100083
2.中国自然资源航空物探遥感中心,北京 100083
Application effect of Kalman filter in airborne full tensor magnetic gradient measurement based on theoretical model
MENG Qing-Kui1,2(), ZHOU Jian-Xin1,2, SHU Qing1,2, GAO Wei2, XU Guang-Jing2, WANG Chen-Yang2
1. Key Laboratory of Airborne Geophysics and Remote Sensing Geology, Ministry of Natural Resources, Beijing 100083, China
2. China Aero Geophysical Survey and Remote Sensing Center for Natural Resources, Beijing 100083, China
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摘要 

航空全张量磁力梯度测量数据中包含非常复杂的运动噪声,在频谱图中从低频至高频均有分布,并以白噪声为主,如何有效压制运动噪声是一个较大的挑战。传统的数字滤波只能滤除指定频段的噪声,对于混叠在全张量磁力梯度有用信号中的噪声不能有效分离。鉴于卡尔曼滤波是一种快速、高效和实时的最优估计方法,笔者将其应用到航空全张量磁力梯度数据处理中,搭建合理的状态方程和观测方程,通过模型实验验证了方法的有效性,结果显示全区噪声衰减因子优于0.92,即能够去除92%以上噪声成分,全区均方误差优于10 pT/m,可应用于航空全张量磁力梯度数据实时处理。

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孟庆奎
周坚鑫
舒晴
高维
徐光晶
王晨阳
关键词 全张量磁力梯度卡尔曼滤波白噪声数据处理    
Abstract

The aero full tensor magnetic gradient data contain complex motion noise, which is distributed from low frequency to high frequency in the spectrum, and is mainly white noise. So, how to effectively suppress the motion noise is a great challenge. The traditional digital filtering can only filter the noise with the specified frequency band, but it can not effectively separate the noise mixed in the full tensor magnetic gradient useful signal. In view of the fact that Kalman filter is a fast, efficient and real-time optimization estimation method, the authors applied it to the aero magnetic full tensor gradient data processing, and built the state equation and observation equation reasonably. Model test proves that the method is effective and can be applied to real-time processing of aeromagnetic full tensor gradient data.

Key wordsfull tensor magnetic gradient    Kalman filter    white noise    data processing
收稿日期: 2020-06-16      出版日期: 2021-04-29
:  P631  
基金资助:航空物探遥感中心青年创新基金(2020YFL16);国家重点研发计划(2017YFC0601601)
作者简介: 孟庆奎(1987-),男,硕士,工程师,主要从事应用地球物理方法研究和数据处理解释工作。Email: qingkui_meng@163.com
引用本文:   
孟庆奎, 周坚鑫, 舒晴, 高维, 徐光晶, 王晨阳. 理论模型分析卡尔曼滤波在航空全张量磁力梯度测量中的应用效果[J]. 物探与化探, 2021, 45(2): 473-479.
MENG Qing-Kui, ZHOU Jian-Xin, SHU Qing, GAO Wei, XU Guang-Jing, WANG Chen-Yang. Application effect of Kalman filter in airborne full tensor magnetic gradient measurement based on theoretical model. Geophysical and Geochemical Exploration, 2021, 45(2): 473-479.
链接本文:  
https://www.wutanyuhuatan.com/CN/10.11720/wtyht.2021.1307      或      https://www.wutanyuhuatan.com/CN/Y2021/V45/I2/473
Fig.1  球体模型全张量磁力梯度
Fig.2  加噪球体模型全张量磁力梯度
Fig.3  滤波后全张量磁力梯度立体图
Fig.4  BxxByyBzz滤波前后对比(剖面Y=500 m)
Fig.5  BxyBxzByz滤波前后对比(剖面Y=500 m)
Fig.6  全区噪声衰减因子及全区均方误差
Bxx Byy Bzz Bxy Bxz Byz
噪声衰减因子 0.9212 0.9668 0.9613 0.9413 0.9560 0.9593
均方误差/(pT·m-1) 8.5 5.7 6.7 7.5 6.6 6.2
Table 1  典型剖面(Y=500 m)卡尔曼滤波效果定量统计
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