Article(id=1322506516633080609, tenantId=1146029695717560320, journalId=1281212831689347082, issueId=1322506406058635943, articleNumber=null, orderNo=null, doi=10.14075/j.jgg.2024.10.486, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1729785600000, receivedDateStr=2024-10-25, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1793239724548, onlineDateStr=2026-10-29, pubDate=1763136000000, pubDateStr=2025-11-15, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793239724548, onlineIssueDateStr=2026-10-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793239724548, creator=13701087609, updateTime=1793239724548, updator=13701087609, issue=Issue{id=1322506406058635943, tenantId=1146029695717560320, journalId=1281212831689347082, year='2025', volume='45', issue='11', pageStart='1101', pageEnd='1210', issueExtLink='null', onlineDate='null', pubDate='1763136000000', pubDateStr='2025-11-15', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793239698184, creator='13701087609', updateTime=1793239698184, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=1101, endPage=1109, ext={EN=ArticleExt(id=1322506516817629986, articleId=1322506516633080609, tenantId=1146029695717560320, journalId=1281212831689347082, language=EN, title=Differences between the IGRF13 Model and Aeromagnetic Data in Localized Regions of China, columnId=null, journalTitle=Journal of Geodesy and Geodynamics, columnName=null, runingTitle=null, highlight=null, articleAbstract=

We investigate the deviation between IGRF13 model data and unmanned aerial vehicle(UAV) geomagnetic data in localized regions of China. By analyzing the differences in total geomagnetic field intensity, as well as the northward, eastward, vertical, and horizontal components of geomagnetic field between IGRF13 model data and aeromagnetic data in Weishui in Shaanxi province and Yuyao in Zhejiang province. The results show that the difference in total geomagnetic field intensity between IGRF13 model data and geomagnetic data in localized regions of China ranges from 100 to 200 nT. In the northwestern region of China, the difference is approximately 100 nT, while in the eastern coastal region, it is around 200 nT. After systematic calibration, the mean absolute error between the two datasets is less than 50 nT.

, authors=Weibao ZOU1, Libin CHEN2, Yibo WEI1, *, Daheng HAN1, Guowei MAO1, Weifeng ZHAO1, Jiangbo XI1, Wei QU1, authorsList=Weibao ZOU, Libin CHEN, Yibo WEI, Daheng HAN, Guowei MAO, Weifeng ZHAO, Jiangbo XI, Wei QU, authorCompany=null, correspAuthors=Yibo WEI, authorNote=

ZOU Weibao, PhD, associate professor, majors in geomagnetic navigation and geomagnetic field modeling, E-mail:

, correspAuthorsNote=null, copyrightStatement=All rights reserved. Unauthorized reproduction is prohibited., copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1322506524413514573, articleId=1322506516633080609, tenantId=1146029695717560320, journalId=1281212831689347082, language=CN, title=IGRF13模型与我国局部区域航测地磁场数据差异, columnId=1322506242858271689, journalTitle=大地测量与地球动力学, columnName=地球物理解释, runingTitle=null, highlight=null, articleAbstract=

研究IGRF13模型数据与我国局部区域的无人机航测地磁数据的偏差。分析陕西省渭水和浙江省余姚2个区域IGRF13模型数据与航测数据的地磁场总场强、北向、东向、垂直和水平分量的差异发现, IGRF13模型数据与我国局部区域的地磁场总场强的差异在100~200 nT之间; 在我国西北区域, 两者的差异在100 nT左右; 在东部沿海区域, 两者的差异在200 nT左右。通过系统校正后, 两者之间的平均绝对误差小于50 nT。

, authors=邹维宝1, 陈利斌2, 魏毅博1, *, 韩大恒1, 毛国伟1, 赵卫锋1, 席江波1, 瞿伟1, authorsList=邹维宝, 陈利斌, 魏毅博, 韩大恒, 毛国伟, 赵卫锋, 席江波, 瞿伟, authorCompany=null, correspAuthors=魏毅博, authorNote=

邹维宝, 博士, 副教授, 主要研究方向为地磁导航与地磁场建模, E-mail:

, correspAuthorsNote=

魏毅博, 硕士生, 主要研究方向为地磁导航, E-mail:

WEI Yibo, postgraduate, majors in geomagnetic navigation, E-mail:

, copyrightStatement=版权所有,未经授权,不得转载。, copyrightOwner=大地测量与地球动力学编辑部, extLink=null, articleAbsUrl=null, sourceXml=LFimjTe7lHXckJwbBR7SFg==, magXml=w3+2Ls1p4NT9bv8UuPosCQ==, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=Z5DxILD7WJ6hr2QvuqPuGQ==, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=2o4PT0HTazWeKqQo2EYJXw==, mapNumber=null, fund=null)}, authors=[Author(id=1322506524841333589, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=wb.zou@chd.edu.cn, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322506524921025367, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, authorId=1322506524841333589, language=EN, stringName=Weibao ZOU, firstName=Weibao, middleName=null, lastName=ZOU, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=1, address=1 School of Geological Engineering and Geomatics, Chang'an University, 126 Yanta Road, Xi'an 710054, China, bio={"content":"

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ZOU Weibao, PhD, associate professor, majors in geomagnetic navigation and geomagnetic field modeling, E-mail:

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邹维宝, 博士, 副教授, 主要研究方向为地磁导航与地磁场建模, E-mail:

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邹维宝, 博士, 副教授, 主要研究方向为地磁导航与地磁场建模, E-mail:

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articleId=1322506516633080609, language=EN, label=Fig. 6, caption=F-value of IGRF13 model data corresponding to the measured aeromagnetic points, figureFileSmall=JM2p4LFTtrvuRgaaKVoc7g==, figureFileBig=nZeOkD4MBFmURFVRxpA2UQ==, tableContent=null), ArticleFig(id=1322506530390397839, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=图6, caption=与实测航磁点对应的IGRF13模型数据的F值, figureFileSmall=JM2p4LFTtrvuRgaaKVoc7g==, figureFileBig=nZeOkD4MBFmURFVRxpA2UQ==, tableContent=null), ArticleFig(id=1322506530491061138, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Fig. 7, caption=Surface grid of F-value based on IGRF13 model, figureFileSmall=9KEP3CVjnoCDL/ZLPiwiaA==, figureFileBig=RLGpz0VFREgB4pgZNIV42w==, tableContent=null), ArticleFig(id=1322506530566558611, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=图7, caption=IGRF13模型F值曲面格网, figureFileSmall=9KEP3CVjnoCDL/ZLPiwiaA==, figureFileBig=RLGpz0VFREgB4pgZNIV42w==, tableContent=null), ArticleFig(id=1322506530688193428, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Fig. 8, caption=Variation of 4 components of IGRF13 model in Yuyao survey area, figureFileSmall=MYVSHiG1WD57ZZaURSQYaA==, figureFileBig=qHzRBGhIHBvMxZNDaN/URQ==, tableContent=null), ArticleFig(id=1322506530751107989, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=图8, caption=余姚测区IGRF13模型4个分量变化, figureFileSmall=MYVSHiG1WD57ZZaURSQYaA==, figureFileBig=qHzRBGhIHBvMxZNDaN/URQ==, tableContent=null), ArticleFig(id=1322506530818216854, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Fig. 9, caption=Surface grid of 4 components of IGRF13 model in Yuyao survey area, figureFileSmall=wnp2fItzCdh1uvxbwqa3LQ==, figureFileBig=zCOqd+dUQek67GSsf6Bsng==, tableContent=null), ArticleFig(id=1322506530889520023, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=图9, caption=余姚测区IGRF13模型4个分量的曲面格网, figureFileSmall=wnp2fItzCdh1uvxbwqa3LQ==, figureFileBig=zCOqd+dUQek67GSsf6Bsng==, tableContent=null), ArticleFig(id=1322506530965017496, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Fig. 10, caption=Comparison of measured F-value and IGRF13 model F-value in Yuyao survey area, figureFileSmall=YMmcyBEseN8Si47RHbH8cA==, figureFileBig=IBG0wR7WvKDGglJigCXcGw==, tableContent=null), ArticleFig(id=1322506531048903577, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=图10, caption=余姚测区实测F值与IGRF13模型F值对比, figureFileSmall=YMmcyBEseN8Si47RHbH8cA==, figureFileBig=IBG0wR7WvKDGglJigCXcGw==, tableContent=null), ArticleFig(id=1322506531120206746, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Fig. 11, caption=Deviation between measured F-value and IGRF13 model F-value in Yuyao survey area, figureFileSmall=AqmBbnH22Snzo9f2sJcRYg==, figureFileBig=zSj5aiPkkSsZLcA3iHmvBQ==, tableContent=null), ArticleFig(id=1322506531183121307, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=图11, caption=余姚测区实测F值与IGRF13模型F值的偏差, figureFileSmall=AqmBbnH22Snzo9f2sJcRYg==, figureFileBig=zSj5aiPkkSsZLcA3iHmvBQ==, tableContent=null), ArticleFig(id=1322506531317339036, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Fig. 12, caption=F-value of measured data and corrected IGRF13 model data in Yuyao survey area, figureFileSmall=9FXyGLirZaYyKdxom/papQ==, figureFileBig=WTdIJ25LGz7Zry7CzfpOQg==, tableContent=null), 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caption=渭水测区实测数据与校正后的IGRF13模型数据的F值, figureFileSmall=3UlM6bXIZBWQqT7FsTXI8g==, figureFileBig=HC88ErTjocchm0O7BUbLyg==, tableContent=null), ArticleFig(id=1322506534760862635, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Fig. 19, caption=Comparison of component values between measured data and IGRF13 model data in Weishui survey area, figureFileSmall=/epRx2Kwu0BQA5heRyYvUA==, figureFileBig=QwbjszxysPQvBVsnvI7txg==, tableContent=null), ArticleFig(id=1322506534827971500, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=图19, caption=渭水测区实测数据与IGRF13模型数据的分量值对比, figureFileSmall=/epRx2Kwu0BQA5heRyYvUA==, figureFileBig=QwbjszxysPQvBVsnvI7txg==, tableContent=null), ArticleFig(id=1322506534895080365, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Fig. 20, caption=Comparison of component values between measured data and corrected IGRF13 model data in Weishui survey area, figureFileSmall=3lTjPi/iBwTp/Ha1Im41fg==, figureFileBig=dHdzUcfsLjR7WaplsTf7QQ==, tableContent=null), ArticleFig(id=1322506535083824046, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=图20, caption=渭水测区实测数据与校正后的IGRF13模型数据的分量值对比, figureFileSmall=3lTjPi/iBwTp/Ha1Im41fg==, figureFileBig=dHdzUcfsLjR7WaplsTf7QQ==, tableContent=null), ArticleFig(id=1322506535188681647, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Tab. 1, caption=

Information of aeromagnetic points in Yuyao survey area

, figureFileSmall=null, figureFileBig=null, tableContent=
测线号 架次号 航磁点号 采集时间
(北京时间)
时间间隔/s 数据量 采集日期
1 一 1~2 661 10:27:49.8—10:36:41.8 532.0 2 661 2022-01-14
2 一 2 662~5 235 10:37:11.8—10:45:46.4 514.6 2 574 2022-01-14
⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮
16 八 39 288~41 872 15:20:19.4—15:28:56.2 516.8 2 585 2022-01-14
17 九 41 873~44 468 12:17:13.8—12:25:52.8 519.0 2 596 2022-01-15
⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮
21 十一 52 265~54 881 11:50:27.8—11:59:11.0 523.2 2 617 2022-01-15
), ArticleFig(id=1322506535515837360, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=表1, caption=

余姚测区航磁点信息

, figureFileSmall=null, figureFileBig=null, tableContent=
测线号 架次号 航磁点号 采集时间
(北京时间)
时间间隔/s 数据量 采集日期
1 一 1~2 661 10:27:49.8—10:36:41.8 532.0 2 661 2022-01-14
2 一 2 662~5 235 10:37:11.8—10:45:46.4 514.6 2 574 2022-01-14
⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮
16 八 39 288~41 872 15:20:19.4—15:28:56.2 516.8 2 585 2022-01-14
17 九 41 873~44 468 12:17:13.8—12:25:52.8 519.0 2 596 2022-01-15
⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮
21 十一 52 265~54 881 11:50:27.8—11:59:11.0 523.2 2 617 2022-01-15
), ArticleFig(id=1322506535629083569, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Tab. 2, caption=

Spatial range of Yuyao survey area

, figureFileSmall=null, figureFileBig=null, tableContent=
经度/(°) 纬度/(°) GPS高程/m
最小 121.007 603 9 30.267 821 23 122.704
最大 121.028 400 6 30.295 669 44 141.023
差值 0.020 796 7 0.027 848 21 18.319
), ArticleFig(id=1322506535935267762, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=表2, caption=

余姚测区空间范围

, figureFileSmall=null, figureFileBig=null, tableContent=
经度/(°) 纬度/(°) GPS高程/m
最小 121.007 603 9 30.267 821 23 122.704
最大 121.028 400 6 30.295 669 44 141.023
差值 0.020 796 7 0.027 848 21 18.319
), ArticleFig(id=1322506537512326067, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Tab. 3, caption=

Spatial range of aeromagnetic points from No.1 to No.36 674 in Yuyao survey area

, figureFileSmall=null, figureFileBig=null, tableContent=
经度/(°) 纬度/(°) GPS高程/m
最小 121.007 603 9 30.267 821 23 122.704
最大 121.021 135 3 30.295 669 44 140.287
差值 0.013 531 4 0.027 848 21 17.583
), ArticleFig(id=1322506537592017844, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=表3, caption=

余姚测区第1~36 674号航磁点空间范围

, figureFileSmall=null, figureFileBig=null, tableContent=
经度/(°) 纬度/(°) GPS高程/m
最小 121.007 603 9 30.267 821 23 122.704
最大 121.021 135 3 30.295 669 44 140.287
差值 0.013 531 4 0.027 848 21 17.583
), ArticleFig(id=1322506537684292533, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Tab. 4, caption=

Feature parameters of IGRF13 model in Yuyao survey area

, figureFileSmall=null, figureFileBig=null, tableContent=
地磁要素 最小值/nT 最大值/nT 变化幅度/nT 平均值/nT 变化特征
总场强F 48 616.85 48 635.18 18.33 48 626.01 从东南向西北方向增大
北向分量X 33 633.94 33 648.89 14.95 33 641.43 从东南向西北方向增大
东向分量Y -3 568.15 -3 564.41 3.74 -3 566.28 从东北向西南方向增大
垂直分量Z 34 909.48 34 948.23 38.75 34 928.84 从东北向西南方向增大
水平分量H 33 822.68 33 837.17 14.49 33 829.93 从东北向西南方向增大
), ArticleFig(id=1322506537759790006, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=表4, caption=

余姚测区IGRF13模型的特征量参数

, figureFileSmall=null, figureFileBig=null, tableContent=
地磁要素 最小值/nT 最大值/nT 变化幅度/nT 平均值/nT 变化特征
总场强F 48 616.85 48 635.18 18.33 48 626.01 从东南向西北方向增大
北向分量X 33 633.94 33 648.89 14.95 33 641.43 从东南向西北方向增大
东向分量Y -3 568.15 -3 564.41 3.74 -3 566.28 从东北向西南方向增大
垂直分量Z 34 909.48 34 948.23 38.75 34 928.84 从东北向西南方向增大
水平分量H 33 822.68 33 837.17 14.49 33 829.93 从东北向西南方向增大
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Deviation between measured data and IGRF13 model data before and after correction in Yuyao survey area

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F/nT X/nT Y/nT Z/nT H/nT
校正前MAE 91.55 63.37 6.71 65.74 63.72
校正前RMSE 97.20 67.27 7.13 69.80 67.65
模型校正值 91.55 63.36 -6.71 65.74 63.72
校正后MAE 27.14 18.77 1.99 19.49 18.88
校正后RMSE 32.65 22.59 2.39 23.46 22.72
校正后MAE降幅/% 70.35 70.38 70.34 70.35 70.37
校正后RMSE降幅/% 66.41 66.42 66.48 66.39 66.42
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余姚测区实测数据与校正前后的IGRF13模型数据的偏差

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F/nT X/nT Y/nT Z/nT H/nT
校正前MAE 91.55 63.37 6.71 65.74 63.72
校正前RMSE 97.20 67.27 7.13 69.80 67.65
模型校正值 91.55 63.36 -6.71 65.74 63.72
校正后MAE 27.14 18.77 1.99 19.49 18.88
校正后RMSE 32.65 22.59 2.39 23.46 22.72
校正后MAE降幅/% 70.35 70.38 70.34 70.35 70.37
校正后RMSE降幅/% 66.41 66.42 66.48 66.39 66.42
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Information of aeromagnetic points in Weishui survey area

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测线号 架次号 航磁点号 采集时间
(北京时间)
时间间隔/s 数据量 采集日期
1 一 1~2 596 11:22:34.0—11:31:13.2 519.2 2 596 2021-08-01
2 一 2 597~5 155 11:32:02.2—11:40:34.0 511.8 2 559 2021-08-01
⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮
14 七 33 304~35 850 19:31:15.6—19:39:45.0 509.4 2 547 2021-08-01
15 八 35 851~38 916 08:59:29.0—09:09:42.2 613.2 3 066 2021-08-03
⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮
21 十一 54 307~57 387 10:42:37.0—10:52:53.2 616.2 3 081 2021-08-03
), ArticleFig(id=1322506538103722938, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=表6, caption=

渭水测区航磁点信息

, figureFileSmall=null, figureFileBig=null, tableContent=
测线号 架次号 航磁点号 采集时间
(北京时间)
时间间隔/s 数据量 采集日期
1 一 1~2 596 11:22:34.0—11:31:13.2 519.2 2 596 2021-08-01
2 一 2 597~5 155 11:32:02.2—11:40:34.0 511.8 2 559 2021-08-01
⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮
14 七 33 304~35 850 19:31:15.6—19:39:45.0 509.4 2 547 2021-08-01
15 八 35 851~38 916 08:59:29.0—09:09:42.2 613.2 3 066 2021-08-03
⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮
21 十一 54 307~57 387 10:42:37.0—10:52:53.2 616.2 3 081 2021-08-03
), ArticleFig(id=1322506538187609019, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=EN, label=Tab. 7, caption=

Deviation between measured data and IGRF13 model data before and after correction in Weishui survey area

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F/nT X/nT Y/nT Z/nT H/nT
校正前MAE 184.23 109.84 7.91 147.69 110.12
校正前RMSE 194.34 115.88 8.34 155.79 116.18
模型校正值 -184.23 -109.84 7.91 -147.69 -110.12
校正后MAE 45.07 26.92 1.91 36.10 26.98
校正后RMSE 61.87 36.93 2.63 49.57 37.02
校正后MAE降幅/% 75.53 75.49 75.85 75.56 75.50
校正后RMSE降幅/% 68.16 68.13 68.47 68.18 68.14
), ArticleFig(id=1322506538258912188, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322506516633080609, language=CN, label=表7, caption=

渭水测区实测数据与校正前后的IGRF13模型数据的偏差

, figureFileSmall=null, figureFileBig=null, tableContent=
F/nT X/nT Y/nT Z/nT H/nT
校正前MAE 184.23 109.84 7.91 147.69 110.12
校正前RMSE 194.34 115.88 8.34 155.79 116.18
模型校正值 -184.23 -109.84 7.91 -147.69 -110.12
校正后MAE 45.07 26.92 1.91 36.10 26.98
校正后RMSE 61.87 36.93 2.63 49.57 37.02
校正后MAE降幅/% 75.53 75.49 75.85 75.56 75.50
校正后RMSE降幅/% 68.16 68.13 68.47 68.18 68.14
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IGRF13模型与我国局部区域航测地磁场数据差异
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邹维宝 1 , 陈利斌 2 , 魏毅博 1, * , 韩大恒 1 , 毛国伟 1 , 赵卫锋 1 , 席江波 1 , 瞿伟 1
大地测量与地球动力学 | 地球物理解释 2025,45(11): 1101-1109
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大地测量与地球动力学 |地球物理解释 2025 , 45 (11) : 1101 -1109
IGRF13模型与我国局部区域航测地磁场数据差异
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邹维宝1 , 陈利斌2, 魏毅博1, * , 韩大恒1, 毛国伟1, 赵卫锋1, 席江波1, 瞿伟1
作者信息
  • 1 长安大学地质工程与测绘学院, 西安市雁塔路126号, 710054
  • 2 中国船舶集团有限公司系统工程研究院, 北京市丰贤东路1号, 100094
通讯作者:

魏毅博, 硕士生, 主要研究方向为地磁导航, E-mail:

WEI Yibo, postgraduate, majors in geomagnetic navigation, E-mail:

作者简介:

邹维宝, 博士, 副教授, 主要研究方向为地磁导航与地磁场建模, E-mail:

Differences between the IGRF13 Model and Aeromagnetic Data in Localized Regions of China
Weibao ZOU1 , Libin CHEN2, Yibo WEI1, * , Daheng HAN1, Guowei MAO1, Weifeng ZHAO1, Jiangbo XI1, Wei QU1
Affiliations
  • 1 School of Geological Engineering and Geomatics, Chang'an University, 126 Yanta Road, Xi'an 710054, China
  • 2 CSSC Systems Engineering Research Institute, 1 East-Fengxian Road, Beijing 100094, China
  • ZOU Weibao, PhD, associate professor, majors in geomagnetic navigation and geomagnetic field modeling, E-mail:

出版时间: 2025-11-15 doi: 10.14075/j.jgg.2024.10.486
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研究IGRF13模型数据与我国局部区域的无人机航测地磁数据的偏差。分析陕西省渭水和浙江省余姚2个区域IGRF13模型数据与航测数据的地磁场总场强、北向、东向、垂直和水平分量的差异发现, IGRF13模型数据与我国局部区域的地磁场总场强的差异在100~200 nT之间; 在我国西北区域, 两者的差异在100 nT左右; 在东部沿海区域, 两者的差异在200 nT左右。通过系统校正后, 两者之间的平均绝对误差小于50 nT。

IGRF13模型  /  地磁场  /  航测地磁数据  /  地磁导航

We investigate the deviation between IGRF13 model data and unmanned aerial vehicle(UAV) geomagnetic data in localized regions of China. By analyzing the differences in total geomagnetic field intensity, as well as the northward, eastward, vertical, and horizontal components of geomagnetic field between IGRF13 model data and aeromagnetic data in Weishui in Shaanxi province and Yuyao in Zhejiang province. The results show that the difference in total geomagnetic field intensity between IGRF13 model data and geomagnetic data in localized regions of China ranges from 100 to 200 nT. In the northwestern region of China, the difference is approximately 100 nT, while in the eastern coastal region, it is around 200 nT. After systematic calibration, the mean absolute error between the two datasets is less than 50 nT.

IGRF13 model  /  geomagnetic field  /  aeromagnetic data  /  geomagnetic navigation
邹维宝, 陈利斌, 魏毅博, 韩大恒, 毛国伟, 赵卫锋, 席江波, 瞿伟. IGRF13模型与我国局部区域航测地磁场数据差异. 大地测量与地球动力学, 2025 , 45 (11) : 1101 -1109 . DOI: 10.14075/j.jgg.2024.10.486
Weibao ZOU, Libin CHEN, Yibo WEI, Daheng HAN, Guowei MAO, Weifeng ZHAO, Jiangbo XI, Wei QU. Differences between the IGRF13 Model and Aeromagnetic Data in Localized Regions of China[J]. Journal of Geodesy and Geodynamics, 2025 , 45 (11) : 1101 -1109 . DOI: 10.14075/j.jgg.2024.10.486
近年来,地磁导航因其独特的优势受到广泛关注,成为研究热点。与卫星导航和惯性导航相比,地磁导航具有成本低、抗干扰能力强和无误差累积等优点。地磁场测量主要分为地面测量和航磁测量,其中无人机航磁测量技术发展迅速,可快速实现大面积测量,弥补了地面测量费时费力、受地形限制的不足。
目前,可用地磁场数据主要包括实测数据和模型数据[1-7]。实测数据能准确反映地磁场真实情况,但受技术和经济成本限制,高精度数据覆盖范围小,难以获取全球数据。而模型数据如国际地磁参考场(IGRF)和世界地磁场模型(WMM),虽易于获取且可分析大尺度时空变化,但精度较低,难以反映区域特征(如IGRF模型仅使用我国少数台站的年均值,难以体现我国地磁场的区域性特征)。因此,修正地磁场模型精度和建立区域模型是获取精确地磁数据的关键,众多学者已就此展开大量研究[5-6, 8-12]。
本文通过无人机实测我国东西部2个不同地貌区域的地磁数据,分析IGRF13模型在这些区域的误差,为建立高精度地磁场模型和获取高精度地磁数据进行探索。
在浙江省余姚市选取一个总面积为2 km×3 km(横向×纵向),格网大小为100 m×7 m(横向×纵向)的航磁测量区域。该区域大部分为水域,右下角有部分农田,地势平坦,人烟稀少,外界人为磁干扰少,适合大面积航磁测量。
地磁场通常具有日变效应,使得航测地磁数据中包含地磁日变误差。为消除这种误差,需要航测无人机在起飞前0.5 h至落地后10 min内,在地面日变站连续观测地磁日变。此外,为获得地磁日变的基点值,需要在日变站对日变数据进行超过24 h的连续观测。地面站位置的选择对航测数据的日变改正至关重要。一般来说,地面日变站的选址原则有:1)高精度磁测时,日变站距离航磁测量作业区原则上不大于25 km[13];2)日变站架设地点及周围的地磁场变化平稳、地形起伏平缓,且外界磁干扰少[7]。
该测区的日变站设在距作业区东部约400 m的农田里,坐标为30°16′21.452″N、121°01′58.187″E,GPS高程为13.76 m。
在余姚测区采集54 881个航磁点,测线分布和航磁点信息见图 1和表 1,篇幅所限,表 1中只给出部分航磁点信息。无人机采集地磁数据的具体飞行空间区域信息见表 2,其三维空间见图 2,该曲面图也显示出航磁点的空间分布情况。
对获取的原始航磁数据进行误差补偿和日变改正处理。
1) 航磁误差补偿。航磁误差补偿主要包括补偿模型构建、补偿测量和补偿参数求解3个部分。其中,无人机磁干扰场补偿测量的具体步骤为:在地表选取一个磁场较为稳定的低干扰区域,安排2名去磁人员手执无人机分别在90°、0°、270°、180°航向位置上依次完成侧滚、俯仰、侧滑3组飞行姿态的模拟动作。通过上述补偿测量方式获取地磁数据,然后基于改进的Tolles-Lawson模型求取综合补偿参数,最后使用综合补偿参数对获取的原始航磁数据进行误差补偿。
2) 日变改正。首先,在架设的日变站对日变数据进行24 h以上的连续观测;然后,选取连续变化稳定的1 441个地磁场观测值计算日变站的日变基点值;最后,根据计算得到的日变基点值对航磁数据进行日变改正。
本节主要分析航测区内地磁场的变化情况,测区内所有航磁点的总场强F值见图 3,图中红色数字表示航磁点所对应的测线,蓝色曲线表示实测区内航磁点F值变化情况。可以发现,由南向北飞行时,航磁点F值逐渐增加,所有航磁点的F值呈现出一条“M”型曲线;测区内54 881个航磁点的F值变化幅度约在48 550~49 050 nT之间,每条测线的F值由南向北增加的总幅度约为100 nT。F值空间变化情况见图 4。
从图 3、4可以看出,1~16号测线上航磁点的F值变化比较平缓,17~21号测线上航磁点的F值有较大增幅,这主要是因为两部分地磁数据的采集时间不同。1~16号测线上的数据采集于2022-01-14,17~21号测线上的数据采集于2022-01-15。从图中还可以发现,15~21号测线上航磁点的F值起伏较大,在这7条测线的下方可能存在较大的磁异常区域,而1~14号测线上的地磁数据变化较平稳。为得到可靠的研究结果,在后续研究中,选取1~14号测线(对应1~36 674号航磁点)上的航磁数据进行分析,其空间分布信息见表 3,F值曲线见图 5。
为研究地磁场模型数据与实测地磁数据的差异,获取时间和空间位置与1~14号测线上实测航磁点相对应的IGRF13模型数据的F值,按照与实测航磁点编号相同的顺序绘制成图 6,F值的三维曲面格网见图 7。
对比图 5、6可以发现,IGRF13模型数据与实测航磁数据的F值变化趋势一致,即由南向北逐渐增加,然后由北向南逐渐减小,整个区域的总场强F值曲线呈“M”型变化。南北跨度3 km,每条测线上总场强F值变化幅度约为15.65 nT;东西跨度1.3 km,总场强F值变化幅度约为2.68 nT。该区域IGRF13模型数据的F值变化幅度为18.33 nT,比实测F值的变化幅度112.84 nT小很多,说明IGRF13模型数据的F值比较平稳。
计算与实测航磁点对应的IGRF13模型数据的北向分量X、东向分量Y、垂直分量Z和水平分量H值,并与实测航磁数据进行对比分析(图 8、9)。从图 8可以看出,4个分量与图 6所示F值的变化特点一样,都呈“M”型变化。图 9所示的4个分量的空间变化趋势与图 7所示F值的变化趋势一致,即由南向北逐渐增加,将其变化特点用5个参数来表示,具体见表 4,需要说明的是,表中数值符号仅表示方向。
选择数据变化平稳的1~14号测线分析模型数据F值与实测数据F值的偏差情况,具体见图 10。从图中可以看出,实测F值与IGRF13模型数据F值变化趋势相同,变化步调基本一致,2条曲线都呈“M”型。
实测F值与IGRF13模型数据F值的偏差见图 11,可以看出,除个别航磁点外,实测F值均大于IGRF13模型数据F值。其中,偏差最小的是位于5号测线上的第10 528号航磁点,该点实测值比模型值小13.97 nT;偏差最大的是位于2号测线上的第3 064号航磁点,该点实测值比模型值大167.21 nT。
经量化分析可知,偏差值在60~130 nT之间的航磁点数量占总数的71.52%,在20~150 nT之间的航磁点数量占总数的97.43%。此外,该测区所有实测航磁点的F值均值为48 717.56 nT,IGRF13模型数据的F值均值为48 626.01 nT,两者相差91.55 nT。
由上述分析和图 10可知,IGRF13模型可以较好地反映余姚测区地磁场的变化趋势,但由于IGRF13模型只使用我国少数几个地磁台站的年均值,导致余姚测区IGRF13模型F值和实测F值之间存在91.55 nT的系统偏差。将IGRF13模型F值以91.55 nT进行系统校正,得到图 12。
采用平均绝对误差(MAE)和均方根误差(RMSE)来评价实测F值与IGRF13模型F值的偏差情况。通过计算可得,余姚测区实测F值与IGRF13模型数据F值之间的MAE为91.55 nT,RMSE为97.20 nT。
将实测数据的4个分量值与IGRF13模型数据的4个分量值进行对比分析,结果见图 13。从图中可以看出,在所有4个分量中,除极个别航磁点外,实测数据值均大于对应的IGRF13模型值。特别注意到,东向分量Y数值前的负号仅表示方向,即西向,故从地磁数据的绝对值来看,东向分量Y的实测值大于模型值。
从图 13还可以发现,东向分量Y和垂直分量Z的模型数据与实测数据的变化趋势完全一致,与前述F值的变化情况一样;北向分量X和水平分量H的模型数据与实测数据的变化趋势则正好相反,可能是由于局部地磁场数据的模型值与实测值存在差异,这也正是本文希望通过研究分析得到的有意义的信息。
实测数据与模型数据各分量偏差的MAE和RMSE见表 5。对模型数据F值和各分量进行校正,校正方法是将模型数据增加模型校正值量,其中,东向分量增加-6.71 nT。校正后的模型数据与实测数据4个分量的对比情况见图 14。从表 5可以看出,模型数据校正后,其F值和各地磁分量与实测数据之间的MAE降幅都在70%左右,RMSE降幅都在66%左右。
综上可知,在余姚测区,无人机实测数据F值与IGRF13模型数据F值存在91.55 nT的偏差,该偏差可以看作是实测数据与模型数据之间的系统偏差。
选取陕西省渭水某区域采集地磁数据,并进行相关研究分析。该区域面积与浙江余姚测区相同,均为2 km×3 km(横向×纵向)。该航磁测区整个区域均为陆地,其中大部分是城市建筑区域,少部分是农田。航磁测区及周围整体地势平坦,相对于浙江余姚区域,渭水航测区域人口较多,存在一定的外界磁干扰因素。
该测区的日变站位于航磁作业区的北东方向,在西安市高陵区张卜街道张家村一处农田里,距作业区约23 km。日变站远离城市等人文干扰磁场,地形平缓,从地貌和磁场环境来看符合选址要求,坐标为34°28′11.217″N、109°08′40.969″E,GPS高程为331.70 m。
在渭水区域采集航磁测区内规划的21条主测线上的航磁数据,共57 387个航磁点,测线平面分布见图 15,航磁点三维空间分布见图 16,篇幅所限,表 6仅给出部分航磁点信息。
采用同样方法对在渭水区域获取的原始航磁数据进行误差补偿、日变改正等处理,得到精度可靠的航磁数据。
与分析余姚测区地磁数据的方法一样,对渭水测区实测地磁数据与IGRF13模型数据的F值和4个分量的差异进行对比分析。图 17(a)为实测数据与模型数据的F值,可以看出,IGRF13模型数据F值变化比较平滑稳定,其幅值在52 800 nT上下浮动;实测数据F值变化幅度比模型值大,其幅值在52 600 nT上下浮动。除个别航磁点外,IGRF13模型数据F值总体上大于实测数据F值。图 17(b)为实测数据F值与模型数据F值的偏差,由于实测数据小于模型数据,其差值为负值。可以看出,两者之间偏差的绝对值基本在200 nT左右。
渭水区域实测数据F值与IGRF13模型数据F值的偏差在-300~100 nT之间的航磁点数量占总数的91.40%。此外,航磁点实测数据的F值均值为52 653.01 nT,IGRF13模型数据的F值均值为52 837.24 nT,两者均值相差-184.23 nT,两者的MAE为184.23 nT,RMSE为194.34 nT。
通过分析可知,实测F值与IGRF13模型数据F值之间存在-184.23 nT的系统偏差,即实测值比模型值小184.23 nT。这与余姚测区不同,余姚区域的实测值基本都大于模型值。将渭水区域的IGRF13模型数据F值以-184.23 nT进行系统校正,结果见图 18。校正后的偏差值显著减小,偏差值在-100~100 nT之间的航磁点数量占总数的91.56%。经过校正后,两者的MAE为45.07 nT,RMSE为61.87 nT。与校正前相比,校正后MAE下降75.53%,RMSE下降68.16%。
根据地磁七要素之间的几何关系,解算得到渭水区域地磁场4个分量的实测值,各地磁分量与相应的模型数据见图 19。可以看出,除极个别航磁点外,实测数据的X、Z和H分量基本都小于相应的模型分量;实测数据的Y分量也小于模型数据,其数值符号(即负号)代表方向。从地磁数据的绝对值来看,东向分量Y的实测数据小于模型数据。因此,渭水区域实测数据的4个地磁分量都小于相应的模型数据。从各个地磁分量随航磁点的变化趋势来看,随着航磁点号的增加,Y和Z分量的实测值与IGRF13模型值具有相似的变化趋势;X和H分量的实测值与IGRF13模型值的变化趋势则相反,这与余姚测区的情况一样。
对模型数据的各地磁分量也进行整体校正,校正后的曲线见图 20,地磁实测数据与模型数据校正前后的偏差见表 7。从表中可以看出,模型数据校正后,其F值和各地磁分量与实测数据之间的MAE降幅都在75%左右,RMSE降幅都在68%左右。
本文利用无人机采集我国东西部2个不同地貌区域的地磁场数据,研究分析实测地磁数据与IGRF13模型数据的各地磁特征量的差异。
余姚测区位于我国东部近海地区,该测区包括陆地和海域2种地貌。通过与IGRF13模型数据进行对比发现,该区域实测地磁数据的F值均值大于相应的模型数据的F值均值,两者的系统偏差为91.55 nT,接近100 nT;北向分量、垂直分量和水平分量的偏差在63 nT左右,东向分量的偏差在7 nT左右。对IGRF13模型数据进行系统校正后,实测数据与模型数据的RMSE大幅降低66%左右,两者的MAE大幅降低70%左右,F值的偏差为27 nT;北向分量、垂直分量和水平分量的偏差经过校正后达到19 nT左右,东向分量的偏差经过校正后只有2 nT左右。可以看出,经过系统校正后,IGRF13模型数据与该局部区域的实测地磁数据非常接近。
渭水测区位于我国西北内陆地区,整个测区均为陆地区域。通过与IGRF13模型数据进行对比发现,该区域实测地磁数据的F值均值小于相应的模型数据的F值均值,两者的系统偏差为184.23 nT,接近200nT;北向分量、垂直分量和水平分量的偏差在110~150 nT之间,东向分量的偏差最小,为8 nT左右。对IGRF13模型数据进行系统校正后,实测数据与模型数据的RMSE大幅降低68%左右,两者的MAE大幅降低75%左右;F值的偏差为45 nT,北向分量、垂直分量和水平分量的偏差经过校正后达到30 nT,东向分量的偏差经过校正后只有2 nT左右。可以看出,经过系统校正后,IGRF13模型数据更加接近该局部区域的实测地磁数据。
本文利用2021-08和2022-01分别在我国西北地区(陕西省渭水)和东部地区(浙江省余姚)采集的无人机地磁数据,与对应区域的IGRF13地磁模型数据进行分析对比,得到以下结论:
1) 地磁场在我国局部区域内具有明显的变化特征。我国地磁场F值由东向西呈现逐步增加的趋势,西北部区域的F值均值在52 600 nT左右,而东部沿海区域的F值均值在48 700 nT左右,两者的差异在3 900 nT左右。
2) IGRF13模型数据与实测航磁数据存在系统偏差,且该系统偏差在我国东西部地区有所不同。在我国西北部区域,两者的差异较小,约为100 nT;而在东部沿海区域,两者的差异略大,约为200 nT。经过系统校正后,IGRF13模型数据与我国局部区域的实测地磁数据的差异明显减小,两者F值的MAE不大于50 nT。
  • 国家自然科学基金(42174006)
  • 国防科技创新项目(19-163-KX-002-030-01)
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文章信息
doi: 10.14075/j.jgg.2024.10.486
  • 接收时间:2024-10-25
  • 首发时间:2026-10-29
  • 出版时间:2025-11-15
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  • 收稿日期:2024-10-25
基金
National Natural Science Foundation of China(42174006)
国家自然科学基金(42174006)
National Defense Science and Technology Innovation Project(19-163-KX-002-030-01)
国防科技创新项目(19-163-KX-002-030-01)
作者信息
    1 长安大学地质工程与测绘学院, 西安市雁塔路126号, 710054
    2 中国船舶集团有限公司系统工程研究院, 北京市丰贤东路1号, 100094

通讯作者:

魏毅博, 硕士生, 主要研究方向为地磁导航, E-mail:

WEI Yibo, postgraduate, majors in geomagnetic navigation, E-mail:

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Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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