改进二维变分模态分解的磁源分离

李金朋; 任国全; 范红波; 李志宁

doi:10.3788/OPE.20202805.1200

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改进二维变分模态分解的磁源分离

信息科学 | 更新时间：2020-07-09

- 改进二维变分模态分解的磁源分离
- Source separation based on improved two-dimensional variational mode decomposition
- 光学精密工程 2020年28卷第5期页码：1200-1211
- 作者机构：
  
  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
- 作者简介：
  
  [ "李金朋(1991-)，男，吉林长春人，博士研究生，2014年于吉林大学获得学士学位，2016年于军械工程学院获得硕士学位，主要研究方向为测试技术与信号处理。E-mail：714741928@qq.com" ]
- 基金信息：
  
  国家自然科学基金资助项目(51305454)
- DOI：10.3788/OPE.20202805.1200
  中图分类号： TP212.9;TH762
- 收稿日期：2019-12-05，
  
  修回日期：2020-03-07，
  
  录用日期：2020-3-7，
  
  纸质出版日期：2020-05-25
- 稿件说明：
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李金朋, 任国全, 范红波, 等. 改进二维变分模态分解的磁源分离[J]. 光学精密工程, 2020,28(5):1200-1211.

Jin-peng LI, Guo-quan REN, Hong-bo FAN, et al. Source separation based on improved two-dimensional variational mode decomposition[J]. Optics and precision engineering, 2020, 28(5): 1200-1211.
李金朋, 任国全, 范红波, 等. 改进二维变分模态分解的磁源分离[J]. 光学精密工程, 2020,28(5):1200-1211. DOI： 10.3788/OPE.20202805.1200.

Jin-peng LI, Guo-quan REN, Hong-bo FAN, et al. Source separation based on improved two-dimensional variational mode decomposition[J]. Optics and precision engineering, 2020, 28(5): 1200-1211. DOI： 10.3788/OPE.20202805.1200.

摘要

为了解决延拓法对不同深度磁源的磁测数据进行分离时，向上延拓高度确定困难以及延拓导致深源信号损失的缺点，提出了在延拓法的基础上利用二维变分模态分解对磁性目标进行分离。首先，利用最佳延拓高度估计法对磁测数据进行第一次分离，得到分离后的局部异常与区域异常数据；然后，利用二维变分模态分解对分离后的浅源局部异常进行第二次分离，该过程无需计算延拓高度，能够自动对不同频率的磁测数据进行分离；最后，利用该方法对不同深度磁源进行识别，通过将分离得到的磁异常

分量数据转化为磁梯度张量数据，实现了对不同深度磁源的磁梯度张量数据进行分离，获得对不同深度磁源的识别结果。实验结果表明：实测中对小尺度磁性体组合磁源(高度差为26 cm)的分离数据与单目标观测数据的互相关系数在0.966 4以上。相比传统的延拓分离方法，提出的方法的分离精度更高，抗干扰能力更强。

Abstract

Using the continuation method

it is difficult to determine the upward continuation height of the upward continuation and shortcomings of the deep source signal loss caused by continuation when the magnetic data of magnetic sources with different depths are separated. A separation method for magnetic data based on improved two-dimensional variational mode decomposition was proposed to solve the disadvantages associated with the continuation method. First

the magnetic data was separated for the first time using the best continuation height estimation method to obtain separated local and regional magnetic anomaly data.Subsequently

a two-dimensional variational modal decomposition was used to perform a second separation of the separated shallow local magnetic anomalies. The process did not need to calculate the upward continuation height and could automatically separate magnetic data at different frequencies.Finally

this method was used to identify magnetic sources with different depths. By separatingthe magnetic anomaly

component and converting it into magnetic gradient tensor data

the magnetic gradient tensor data for magnetic sources with different depths could be separated

and the identification of magnetic sources with different depths was obtained. The experimental results show that the correlation between the separation data of small-scale magnetic sources (26 cm height difference) and observation data for a single target in an actual measurement is greater than 0.966 4.Compared with the traditional continuation separation method

the proposed method has a higher separation accuracy and stronger anti-interference ability.

关键词

Keywords

references

郑强 , 郭华 , 张贵宾 , 等 . 基于全张量磁梯度方向Theta法进行边界识别的研究与应用 . 地球物理学进展 , 2019 . 34 ( 4 ): 1568 - 1576 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dqwlxjz201904036 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dqwlxjz201904036 .

Q ZHENG , H GUO , G B ZHANG , 等 . Research and application of edge detection based on full tensor magnetic gradient direction Theta method . Progress in Geophysics , 2019 . 34 ( 4 ): 1568 - 1576 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dqwlxjz201904036 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dqwlxjz201904036 .

王彦国 , 罗潇 , 邓居智 , 等 . 基于改进tilt梯度的三维磁异常解释技术 . 石油地球物理勘探 , 2019 . 54 ( 3 ): 685 - 691+491 . http://d.old.wanfangdata.com.cn/Periodical/sydqwlkt201903024 http://d.old.wanfangdata.com.cn/Periodical/sydqwlkt201903024 .

Y G WANG , X LUO , J ZH DENG , 等 . 3D magnetic data interpretation based on improved tilt angle . Oil Geophysical Prospecting , 2019 . 54 ( 3 ): 685 - 691+491 . http://d.old.wanfangdata.com.cn/Periodical/sydqwlkt201903024 http://d.old.wanfangdata.com.cn/Periodical/sydqwlkt201903024 .

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 . 地球物理学报 , 2019 . 62 ( 9 ): 3580 - 3590 . http://d.old.wanfangdata.com.cn/Periodical/dqwlxb201909028 http://d.old.wanfangdata.com.cn/Periodical/dqwlxb201909028 .

H GUO , S HAN , Q ZHENG , 等 . Oblique derivative edge detection method research on full tensor magnetic gradient data . Chinese J. Geophys , 2019 . 62 ( 9 ): 3580 - 3590 . http://d.old.wanfangdata.com.cn/Periodical/dqwlxb201909028 http://d.old.wanfangdata.com.cn/Periodical/dqwlxb201909028 .

高向东 , 周晓虎 , 李彦峰 , 等 . 磁光成像漏磁特征在焊接缺陷轮廓重构中的应用 . 光学精密工程 , 2019 . 27 ( 8 ): 1863 - 1869 . http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201908022 http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201908022 .

X D GAO , X H ZHOU , Y F LI , 等 . Application of magneto-optical imaging magnetic flux leakage characteristics in contour reconstruction of welding defects . Opt.Precision Eng. , 2019 . 27 ( 8 ): 1863 - 1869 . http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201908022 http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201908022 .

柴国志 , 黄亮 , 乔亮 , 等 . 星上剩磁对惯性传感器的影响 . 中国光学 , 2019 . 12 ( 3 ): 515 - 525 . http://d.old.wanfangdata.com.cn/Periodical/zggxyyygxwz201903011 http://d.old.wanfangdata.com.cn/Periodical/zggxyyygxwz201903011 .

G Z CHAI , L HUANG , L QIAO , 等 . Effect of the on-board residual magnetism on inertial sensors . Chinese Optics , 2019 . 12 ( 3 ): 515 - 525 . http://d.old.wanfangdata.com.cn/Periodical/zggxyyygxwz201903011 http://d.old.wanfangdata.com.cn/Periodical/zggxyyygxwz201903011 .

H ZENG , D XU , H TAN . A model study for estimating optimum upward-continuation height for gravity separation with application to a Bouguer gravity anomaly over a mineral deposit, Jilin province, northeast China . Geophysics , 2007 . 72 ( 4 ): 145 - 150 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=46023004add8130b27d0f8fe4fe659b7 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=46023004add8130b27d0f8fe4fe659b7 .

R S PAWLOWSKI . Preferential continuation for potential-field anomaly enhancement . Geophysics , 1995 . 60 ( 2 ): 390 - 398 . http://cn.bing.com/academic/profile?id=36f663b0d0aedae4dcc6705962c12b2f&encoded=0&v=paper_preview&mkt=zh-cn http://cn.bing.com/academic/profile?id=36f663b0d0aedae4dcc6705962c12b2f&encoded=0&v=paper_preview&mkt=zh-cn .

X MENG , L GUO , Z CHEN , 等 . A method for gravity anomaly separation based on preferential continuation and its application . Applied Geophysics , 2009 . 6 ( 3 ): 217 - 225 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yydqwl200903002 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yydqwl200903002 .

L GUO , X MENG , Z CHEN , 等 . Preferential filtering for gravity anomaly separation . Computers & Geosciences , 2013 . 51 247 - 254 . http://cn.bing.com/academic/profile?id=bb2b925d611d98d875c803df7fad6eae&encoded=0&v=paper_preview&mkt=zh-cn http://cn.bing.com/academic/profile?id=bb2b925d611d98d875c803df7fad6eae&encoded=0&v=paper_preview&mkt=zh-cn .

郭良辉 , 孟小红 , 石磊 , 等 . 优化滤波方法及其在中国大陆布格重力异常数据处理中的应用 . 地球物理学报 , 2012 . 55 ( 12 ): 4078 - 4088 . http://d.old.wanfangdata.com.cn/Periodical/dqwlxb201212020 http://d.old.wanfangdata.com.cn/Periodical/dqwlxb201212020 .

L H GUO , X H MENG , L SHI , 等 . Preferential filtering method and its application to Bouguer gravity anomaly of Chinese continent . Chinese J.Geophys. , 2012 . 55 ( 12 ): 4078 - 4088 . http://d.old.wanfangdata.com.cn/Periodical/dqwlxb201212020 http://d.old.wanfangdata.com.cn/Periodical/dqwlxb201212020 .

徐智 , 唐刚 , 刘伟 , 等 . 基于变分模态分解参数优化的地震随机噪声去除方法 . 北京化工大学学报(自然科学版) , 2019 . 46 ( 5 ): 60 - 68 . http://d.old.wanfangdata.com.cn/Periodical/bjhgdxxb201905009 http://d.old.wanfangdata.com.cn/Periodical/bjhgdxxb201905009 .

ZH XU , G TANG , W LIU , 等 . Seismic random noise removal based on variational mode decomposition with parameter optimization . Journal of Beijing Universityof Chemical Technology (Natural Science) , 2019 . 46 ( 5 ): 60 - 68 . http://d.old.wanfangdata.com.cn/Periodical/bjhgdxxb201905009 http://d.old.wanfangdata.com.cn/Periodical/bjhgdxxb201905009 .

高佳程 , 朱永利 , 贾亚飞 , 等 . 基于二维变分模态分解和Hilbert变换的局放信号特征提取方法 . 电测与仪表 , 2019 . 56 ( 18 ): 25 - 33 . http://d.old.wanfangdata.com.cn/Periodical/dcyyb201918004 http://d.old.wanfangdata.com.cn/Periodical/dcyyb201918004 .

J CH GAO , Y L ZHU , Y F JIA , 等 . Feature extraction of partial discharge signals based on 2D variational mode decomposition and Hilbert transform . Electrical Measurement & Instrumentation , 2019 . 56 ( 18 ): 25 - 33 . http://d.old.wanfangdata.com.cn/Periodical/dcyyb201918004 http://d.old.wanfangdata.com.cn/Periodical/dcyyb201918004 .

N E HUANG , Z SHEN , S R LONG , 等 . The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis . Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences , 1998 . 454 903 - 995 . http://cn.bing.com/academic/profile?id=46b548aa17d217d7dd38acbf82205b2d&encoded=0&v=paper_preview&mkt=zh-cn http://cn.bing.com/academic/profile?id=46b548aa17d217d7dd38acbf82205b2d&encoded=0&v=paper_preview&mkt=zh-cn .

BVLOW T, SOMMER G. A novel approach to the 2D analytic signal[C] . International Conference on Computer Analysis of Images and Patterns, Springer, Berlin, Heidelberg , 1999: 25-32.

BERTSEKAS D P. Constrained Optimization and Lagrange Multiplier Methods [M]. US, Salt Lake City: Academic press, 2014.

M R HESTENES . Multiplier and gradient methods . Journal of optimization theory and applications , 1969 . 4 ( 5 ): 303 - 320 . http://d.old.wanfangdata.com.cn/Periodical/xbgydxxb201801015 http://d.old.wanfangdata.com.cn/Periodical/xbgydxxb201801015 .

郑建拥 , 范红波 , 张琪 , 等 . 利用磁梯度张量识别地下小型目标体 . 石油地球物理勘探 , 2019 . 54 ( 3 ): 692 - 699, 491 . http://d.old.wanfangdata.com.cn/Periodical/sydqwlkt201903025 http://d.old.wanfangdata.com.cn/Periodical/sydqwlkt201903025 .

J Y ZHENG , H B FAN , Q ZHANG , 等 . Underground small target recognition using magnetic gradient tensor . Oil Geophysical Prospecting , 2019 . 54 ( 3 ): 692 - 699, 491 . http://d.old.wanfangdata.com.cn/Periodical/sydqwlkt201903025 http://d.old.wanfangdata.com.cn/Periodical/sydqwlkt201903025 .

李青竹 , 李志宁 , 张英堂 , 等 . 磁梯度张量系统传感器阵列的快速旋转校准 . 光学精密工程 , 2018 . 26 ( 7 ): 1813 - 1826 . http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201807028 http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201807028 .

Q ZH LI , ZH N LI , Y T ZHANG , 等 . Fast rotation calibration of sensor array in magnetic gradient sensor system . Opt. Precision Eng. , 2018 . 26 ( 7 ): 1813 - 1826 . http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201807028 http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201807028 .

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 . 光学精密工程 , 2019 . 27 ( 8 ): 1880 - 1893 . http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201908024 http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201908024 .

Q ZH LI , ZH N LI , Y T ZHANG , 等 . Magnetic source single-point positioning by tensor derivative invariant relations . Opt.Precision Eng. , 2019 . 27 ( 8 ): 1880 - 1893 . http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201908024 http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201908024 .

G YIN , Y T ZHANG , S L MI , 等 . Calculation of the magnetic gradient tensor from total magnetic anomaly field based on regularized method in frequency domain . Journal of Applied Geophysics , 2016 . 134 44 - 54 . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=fd25a5525efb737b7d79bef3d1ad100a http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=fd25a5525efb737b7d79bef3d1ad100a .

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