Article(id=1322570914747757443, tenantId=1146029695717560320, journalId=1281212831689347082, issueId=1322570898712937423, articleNumber=null, orderNo=null, doi=10.14075/j.jgg.2025.06.212, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1750694400000, receivedDateStr=2025-06-24, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1793255078254, onlineDateStr=2026-10-29, pubDate=1778774400000, pubDateStr=2026-05-15, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793255078254, onlineIssueDateStr=2026-10-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793255078254, creator=13701087609, updateTime=1793255078254, updator=13701087609, issue=Issue{id=1322570898712937423, tenantId=1146029695717560320, journalId=1281212831689347082, year='2026', volume='46', issue='5', pageStart='522', pageEnd='661', issueExtLink='null', onlineDate='null', pubDate='1778774400000', pubDateStr='2026-05-15', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793255074432, creator='13701087609', updateTime=1793255074432, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=541, endPage=550, ext={EN=ArticleExt(id=1322570915154604932, articleId=1322570914747757443, tenantId=1146029695717560320, journalId=1281212831689347082, language=EN, title=Application of Coupling Effect between Mobile Gravity and Geomagnetic Fields in Short-Term and Imminent Earthquake Prediction, columnId=null, journalTitle=Journal of Geodesy and Geodynamics, columnName=null, runingTitle=null, highlight=null, articleAbstract=

Based on multi-period ground gravity and geomagnetic observation data from 2016 to 2021 in western Yunnan, this study investigates the 2021 Yangbi M6.4 earthquake using a joint analysis method of gravity and magnetic fields. It analyzes the coupling characteristics of the gravity field and geomagnetic field during the seismogenic process and proposes a new short-term and imminent earthquake prediction method. The synchronously observed gravity and total magnetic intensity variation data were normalized, and the kernel density distribution and correlation coefficient changes of both within the same region were analyzed to study the epicenter location and the imminence of the earthquake occurrence. The results show that: 1) The gravity field changes and total magnetic intensity changes in the epicentral area are coupled, both exhibiting minor variations at the epicenter but significant changes in the surrounding areas. As the time of the earthquake approaches, the trends of both changes become consistent, while they rapidly diverge after the earthquake. 2) For the Yangbi earthquake, within a 1°×1° grid, the region with the largest overlap area of the annual variation kernel density curves of the gravity and magnetic fields is located between 25°-26°N and 99°-100°E, which is highly consistent with the actual epicenter of the Yangbi earthquake. 3) The joint analysis method also demonstrates practical applicability for earthquakes below magnitude 6 in the study area.

, authors=Yufei ZHAO1, Dong LIU1, 2, *, Siyuan ZHOU1, Zhe NI1, Yuqin WU1, authorsList=Yufei ZHAO, Dong LIU, Siyuan ZHOU, Zhe NI, Yuqin WU, authorCompany=null, correspAuthors=Dong LIU, authorNote=null, 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=1322570923526435735, articleId=1322570914747757443, tenantId=1146029695717560320, journalId=1281212831689347082, language=CN, title=流动重力-地磁场耦合效应在地震短临预测中的应用, columnId=1281933709121138897, journalTitle=大地测量与地球动力学, columnName=地球动力学, runingTitle=null, highlight=null, articleAbstract=

基于2016-2021年滇西地区多期地面重力与地磁观测资料, 采用重磁场联合分析方法对2021年漾濞6.4级地震进行研究, 分析孕震中重力场和地磁场的耦合情况, 并提出一种新的地震短临预报方法。对同步观测的重力和磁场总强度变化数据进行归一化处理, 分析二者在相同区域内的核密度分布和相关系数变化, 对该区域范围内的地震震中位置、发震时刻的紧迫性进行研究。结果显示: 1)震中区域的重力场变化和磁场总强度变化具有耦合性, 均表现为震中变化微弱但是周边区域剧烈, 且随着发震时刻的临近, 二者的变化态势趋于一致, 震后变化态势快速背离; 2)对于漾濞地震, 在1°×1°的格网范围内, 重磁场年变化核密度曲线重叠面积最大的区域位于25°~26°N、99°~100°E之间, 这一区域与漾濞地震的实际震中位置高度一致; 3)联合分析方法对于研究区域内的6级以下地震也具有一定的实际应用效果。

, authors=赵育飞1, 刘东1, 2, *, 周思远1, 倪喆1, 吴宇琴1, authorsList=赵育飞, 刘东, 周思远, 倪喆, 吴宇琴, authorCompany=null, correspAuthors=刘东, authorNote=

赵育飞, 工程师, 主要从事地磁场观测与地震关系研究, E-mail:

, correspAuthorsNote=
刘东, 高级工程师, 主要从事重力场测量与应用研究, 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=Yl0YOy2fzFk2w3NAafwdGw==, magXml=GxC4r6iYYo/4sFkoqAzWSQ==, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=RKEB+oDhxQkqidCH5Brt0g==, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=AyI71NPeW+ojpEwgHpdUTw==, mapNumber=null, fund=null)}, authors=[Author(id=1322570926009463711, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=1850430662@qq.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322570926147875745, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, authorId=1322570926009463711, language=EN, stringName=Yufei ZHAO, firstName=Yufei, middleName=null, lastName=ZHAO, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=1, address=1 Yunnan Earthquake Agency, Kunming 650224, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322570926491808674, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, authorId=1322570926009463711, language=CN, stringName=赵育飞, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=1, address=1 云南省地震局, 昆明, 650224, bio={"content":"

赵育飞, 工程师, 主要从事地磁场观测与地震关系研究, E-mail:

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赵育飞, 工程师, 主要从事地磁场观测与地震关系研究, E-mail:

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tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=EN, label=Fig. 1, caption=Distribution of gravity measurement points/lines and geomagnetic measurement points in Yunnan province, figureFileSmall=TV8tu9a0O8BNOjojO+EB+A==, figureFileBig=RKEB+oDhxQkqidCH5Brt0g==, tableContent=null), ArticleFig(id=1322570937006928839, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=CN, label=图1, caption=云南省重力测点测线和地磁测点分布, figureFileSmall=TV8tu9a0O8BNOjojO+EB+A==, figureFileBig=RKEB+oDhxQkqidCH5Brt0g==, tableContent=null), ArticleFig(id=1322570937342473160, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=EN, label=Fig. 2, caption=Gravity field and lithospheric magnetic field intensity variations around Yangbi during 2019 to 2020, figureFileSmall=3Sp1ZHCQK3cZ+Bcz/4Hqjw==, figureFileBig=rlyoXb42/dlLH9Ddb9qIgQ==, tableContent=null), 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2016 to 2019 (before the Yangbi earthquake) and 2020 to 2021 (coseismic period), figureFileSmall=d9XZZj5XXLi5LB96WlFTWg==, figureFileBig=yL0m4SKDWq/t5xyveSRDvQ==, tableContent=null), ArticleFig(id=1322570939674506191, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=CN, label=图5, caption=漾濞地震前2016—2019年和同震2020—2021年重磁场联合数据变化特征, figureFileSmall=d9XZZj5XXLi5LB96WlFTWg==, figureFileBig=yL0m4SKDWq/t5xyveSRDvQ==, tableContent=null), ArticleFig(id=1322570939854861264, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=EN, label=Fig. 6, caption=Distribution of moderate and strong earthquakes in Yunnan province from May 2020 to July 2021, figureFileSmall=7/Qh+oF/UbkS+mQvKajBXg==, figureFileBig=+A/KyTCHEBZjU1i/St1XKQ==, tableContent=null), ArticleFig(id=1322570939947135953, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=CN, label=图6, 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caption=Kernel density curves distribution of annual variation data of gravity and magnetic fields in grid cells in Yunnan province during 2017 to 2018, figureFileSmall=N4HyGM8Q9BY8PqPBgpgKqQ==, figureFileBig=6g57Yks3XLnjlVy1azew3g==, tableContent=null), ArticleFig(id=1322570940781802453, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=CN, label=图8, caption=2017—2018年云南省单元格网内重磁场年变化数据核密度曲线分布, figureFileSmall=N4HyGM8Q9BY8PqPBgpgKqQ==, figureFileBig=6g57Yks3XLnjlVy1azew3g==, tableContent=null), ArticleFig(id=1322570940865688534, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=EN, label=Fig. 9, caption=Distribution of moderate and strong earthquakes in Yunnan province during 2018 to 2019, figureFileSmall=Rauu3ZJu22eBbr3LsIuVhA==, figureFileBig=sBdMF6ADYdyQ21iv6UdeAw==, tableContent=null), ArticleFig(id=1322570941117346775, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=CN, label=图9, caption=2018—2019年云南省中强震分布, figureFileSmall=Rauu3ZJu22eBbr3LsIuVhA==, figureFileBig=sBdMF6ADYdyQ21iv6UdeAw==, tableContent=null), ArticleFig(id=1322570941205427160, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=EN, label=Tab. 1, caption=

Proportion of positive and negative area identified by image recognition of annual variations in gravity and magnetic fields before the Yangbi earthquake (2016 to 2021)

, figureFileSmall=null, figureFileBig=null, tableContent=
年份 重力 岩石圈磁场总强度
正变化面积占比/% 负变化面积占比/% 正变化面积占比/% 负变化面积占比/%
2016—2017 17.46 82.54 21.28 78.72
2017—2018 60.63 39.37 30.22 69.78
2018—2019 10.02 89.98 34.21 65.79
2019—2020 52.26 47.74 57.67 42.33
2020—2021 28.55 71.45 68.28 31.72
), ArticleFig(id=1322570941310284761, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=CN, label=表1, caption=

2016—2021年漾濞地震前重磁场年度变化正负区域图像识别面积占比

, figureFileSmall=null, figureFileBig=null, tableContent=
年份 重力 岩石圈磁场总强度
正变化面积占比/% 负变化面积占比/% 正变化面积占比/% 负变化面积占比/%
2016—2017 17.46 82.54 21.28 78.72
2017—2018 60.63 39.37 30.22 69.78
2018—2019 10.02 89.98 34.21 65.79
2019—2020 52.26 47.74 57.67 42.33
2020—2021 28.55 71.45 68.28 31.72
), ArticleFig(id=1322570941524194266, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=EN, label=Tab. 2, caption=

Statistics of kernel density curve characteristics of combined gravity and magnetic fields data in Yunnan province (2016 to 2021)

, figureFileSmall=null, figureFileBig=null, tableContent=
年份 重力 磁场总强度 峰值差 重合面积
坐标值 峰值 坐标值 峰值
2016—2017 -0.197 6 2.081 8 -0.197 3 1.569 8 -0.512 0 0.838 1
2017—2018 0.297 4 0.802 1 -0.076 0 1.695 7 0.893 6 0.663 8
2018—2019 -0.201 7 1.530 8 0.058 4 1.270 4 -0.260 4 0.612 9
2019—2020 -0.179 5 1.209 4 0.277 0 1.149 4 -0.060 0 0.798 3
2020—2021 0.065 3 2.064 3 0.022 8 1.412 3 -0.652 0 0.784 2
), ArticleFig(id=1322570941603886043, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322570914747757443, language=CN, label=表2, caption=

2016—2021年云南省重磁场联合数据核密度曲线特征统计

, figureFileSmall=null, figureFileBig=null, tableContent=
年份 重力 磁场总强度 峰值差 重合面积
坐标值 峰值 坐标值 峰值
2016—2017 -0.197 6 2.081 8 -0.197 3 1.569 8 -0.512 0 0.838 1
2017—2018 0.297 4 0.802 1 -0.076 0 1.695 7 0.893 6 0.663 8
2018—2019 -0.201 7 1.530 8 0.058 4 1.270 4 -0.260 4 0.612 9
2019—2020 -0.179 5 1.209 4 0.277 0 1.149 4 -0.060 0 0.798 3
2020—2021 0.065 3 2.064 3 0.022 8 1.412 3 -0.652 0 0.784 2
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流动重力-地磁场耦合效应在地震短临预测中的应用
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赵育飞 1 , 刘东 1, 2, * , 周思远 1 , 倪喆 1 , 吴宇琴 1
大地测量与地球动力学 | 地球动力学 2026,46(5): 541-550
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大地测量与地球动力学 |地球动力学 2026 , 46 (5) : 541 -550
流动重力-地磁场耦合效应在地震短临预测中的应用
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赵育飞1 , 刘东1, 2, * , 周思远1, 倪喆1, 吴宇琴1
作者信息
  • 1 云南省地震局, 昆明, 650224
  • 2 武汉大学测绘学院, 武汉, 430079
通讯作者:
刘东, 高级工程师, 主要从事重力场测量与应用研究, E-mail:
作者简介:

赵育飞, 工程师, 主要从事地磁场观测与地震关系研究, E-mail:

Application of Coupling Effect between Mobile Gravity and Geomagnetic Fields in Short-Term and Imminent Earthquake Prediction
Yufei ZHAO1 , Dong LIU1, 2, * , Siyuan ZHOU1, Zhe NI1, Yuqin WU1
Affiliations
  • 1 Yunnan Earthquake Agency, Kunming 650224, China
  • 2 School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China
出版时间: 2026-05-15 doi: 10.14075/j.jgg.2025.06.212
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基于2016-2021年滇西地区多期地面重力与地磁观测资料, 采用重磁场联合分析方法对2021年漾濞6.4级地震进行研究, 分析孕震中重力场和地磁场的耦合情况, 并提出一种新的地震短临预报方法。对同步观测的重力和磁场总强度变化数据进行归一化处理, 分析二者在相同区域内的核密度分布和相关系数变化, 对该区域范围内的地震震中位置、发震时刻的紧迫性进行研究。结果显示: 1)震中区域的重力场变化和磁场总强度变化具有耦合性, 均表现为震中变化微弱但是周边区域剧烈, 且随着发震时刻的临近, 二者的变化态势趋于一致, 震后变化态势快速背离; 2)对于漾濞地震, 在1°×1°的格网范围内, 重磁场年变化核密度曲线重叠面积最大的区域位于25°~26°N、99°~100°E之间, 这一区域与漾濞地震的实际震中位置高度一致; 3)联合分析方法对于研究区域内的6级以下地震也具有一定的实际应用效果。

重力场  /  地磁场  /  耦合效应  /  地震短临预测  /  滇西地区

Based on multi-period ground gravity and geomagnetic observation data from 2016 to 2021 in western Yunnan, this study investigates the 2021 Yangbi M6.4 earthquake using a joint analysis method of gravity and magnetic fields. It analyzes the coupling characteristics of the gravity field and geomagnetic field during the seismogenic process and proposes a new short-term and imminent earthquake prediction method. The synchronously observed gravity and total magnetic intensity variation data were normalized, and the kernel density distribution and correlation coefficient changes of both within the same region were analyzed to study the epicenter location and the imminence of the earthquake occurrence. The results show that: 1) The gravity field changes and total magnetic intensity changes in the epicentral area are coupled, both exhibiting minor variations at the epicenter but significant changes in the surrounding areas. As the time of the earthquake approaches, the trends of both changes become consistent, while they rapidly diverge after the earthquake. 2) For the Yangbi earthquake, within a 1°×1° grid, the region with the largest overlap area of the annual variation kernel density curves of the gravity and magnetic fields is located between 25°-26°N and 99°-100°E, which is highly consistent with the actual epicenter of the Yangbi earthquake. 3) The joint analysis method also demonstrates practical applicability for earthquakes below magnitude 6 in the study area.

gravity field  /  geomagnetic field  /  coupling effect  /  short-term and imminent earthquake prediction  /  western Yunnan region
赵育飞, 刘东, 周思远, 倪喆, 吴宇琴. 流动重力-地磁场耦合效应在地震短临预测中的应用. 大地测量与地球动力学, 2026 , 46 (5) : 541 -550 . DOI: 10.14075/j.jgg.2025.06.212
Yufei ZHAO, Dong LIU, Siyuan ZHOU, Zhe NI, Yuqin WU. Application of Coupling Effect between Mobile Gravity and Geomagnetic Fields in Short-Term and Imminent Earthquake Prediction[J]. Journal of Geodesy and Geodynamics, 2026 , 46 (5) : 541 -550 . DOI: 10.14075/j.jgg.2025.06.212
目前的地震预测技术虽在长期和中期预测方面取得了一定进展,但在短临阶段的预测能力仍极为有限[1]。流动重力场和地磁场作为地震孕育的重要响应指标,蕴含着丰富的地震前兆信息,二者能反映地壳岩石圈的质量分布变化、地壳内部物质成分改变、地质构造及应力等变化。越来越多的学者发现在一些地震前,重力场和地磁场会出现异常变化,特别是强震发震前,重力场在震前出现持续的升高或降低变化,地磁场也出现短周期的扰动和异常变化,且两者的异常变化在时间和空间上具有一定的对应关系[2-3]。利用流动重力观测到的高梯度带等重力场异常变化信号,对汶川地震、芦山地震等进行了较为准确的中期预测,特别是强震震中位置的预测,效果较好。利用地磁场的总强度、水平矢量等分量的弱变区域分布,可以对震级及震中位置进行中长期的预测。但是,目前的研究均发现,无论是利用重力异常还是磁场异常进行地震预测分析,如近年来发生的漾濞6.4级地震、马尔康6.0级地震以及积石山6.2级地震,其短临预测地震三要素的准确率均较低,误报漏报现象严重。
在地学的不同研究领域中,学者们均发现重力场和地磁场存在耦合关系。Mandea等[4]在利用重力场和地磁场研究地核的变化中,发现磁场的二阶导数年际变化和重力场的年际变化一致。Saraswati等[5]发现地表地磁场主要由核心动力学产生,提供有关核心顶部流体运动变化的信息,流体核心的动力学也与核心内部的质量分布变化有关,并产生引力场时间波动。二者在构造活动作用下具有一定的耦合关系,但是内在的驱动机制仍然不清晰。Liu等[6]在分析云南地区6级以上地震的过程中,发现强震前重力场和地磁场年际变化存在一致性,且二者的一致性程度随着震级的增强而愈发明显。
联合重力场和地磁场的变化在地震监测预报中能够综合二者的优点,更好地揭示地震的孕育和发震机理,有望在预报方面取得更好的效果。在2008年汶川地震和2010年玉树地震之后,国内学者通过流动重力和地磁数据的联合分析,揭示了震前地壳物理场的变化特征,并尝试构建地震预测模型[7]。长安大学重磁团队在研究中使用了多源重磁数据融合技术,通过结合不同来源的重力和磁力数据,提高了对地质构造的解析能力[8-9]。刘东等[10]采用重磁场的联合分析方法,对马尔康地震的震前预测进行相关研究,发现该方法对6级以上地震的震前特征分析具有较好的效果。
在此背景下,本文以2021年漾濞6.4级地震为例,对震中及附近区域2016—2021年的重力场异常变化和岩石圈磁场总强度变化进行联合分析,量化地震活动与重磁场变化之间的耦合关系,并尝试将其应用于地震震中位置和发震时刻这2个要素的短临预报,利用重磁场震前的耦合关系探索一种地震短临预测的新方法,通过深入挖掘重磁场数据的潜在信息,为提高地震预测精度提供新的思路和方法。
云南地区流动重力测点和流动地磁测点的分布情况如图 1所示。区域内共有流动重力测点252个,能满足0.5°×0.5°的空间分辨率要求,其中包括10个绝对重力点,绝对观测采用FG-5绝对重力仪,观测精度为2 μGal;相对观测采用CG-5相对重力仪,观测精度为10 μGal。地磁矢量测点共130个,满足0.63°×0.63°的空间分辨率要求。
地面重力数据依次进行零漂、潮汐等改正后,采用经典最小二乘法[11-12]与绝对重力联合平差。经过平差计算,2016—2021年的10期数据,最大点值精度为9.7 μGal,最小为7.0 μGal,平均为8.59 μGal。地面测量的磁场数据先使用邻近台站的连续观测数据进行日变通化改正,以消除观测数据中的规则日变场和其他外源场,然后使用自然正交模型进行长期变化改正,消除主磁场和其他变化成分[13],最终得到岩石圈磁场并计算其年度变化数值,得到的岩石圈磁场总强度年变化精度优于2 nT。
重磁场联合分析的方法流程为:1)分别对重力变化值和地磁总强度值进行相同年份格网化处理;2)对各自的变化值进行归一化处理,得到区间在[-1, 1]之间的标量数据;3)归纳统计重力变化值和岩石圈磁场总强度值在相同年份内的数量分布情况,并绘制数量分布的核密度曲线。
归一化处理计算公式为:
$X_{\mathrm{norm}}=\frac{X}{|X|_{\max }}$
式中,X为变化量值;|X|max为年际变化量值中绝对值最大值。
核密度计算公式为:
$\hat{f}_h(x)=\frac{1}{n} \sum\limits_{i=1}^n K_h\left(x-x_i\right)=\frac{1}{n h} \sum\limits_{i=1}^n K\left(\frac{x-x_i}{h}\right)$
式中,h为平滑参数;xi为样本点(指经过相同年份网格化处理后得到的重力年度变化值、岩石圈磁场总强度值的归一化标量数据);K为核密度函数,并且满足:
$K(x) \geqslant 0, \int K(x) \mathrm{d} x=1 $
常用的核函数有多种,如linear kernel、polynomial kernel、Gaussian kernel和exponential kernel等。考虑对数据噪声抗干扰的能力、保证数据不失真等因素,文中采用Gaussian kernel作为核函数绘制重磁场年变化的核密度曲线。最后,将重磁场年变化数据进行融合分析,分析归一化后的二者变化量在[-1, 1]区间的数量分布情况,并用核密度曲线来直观表示二者的重叠情况。核密度曲线下方所围成的面积即为重磁场年变化趋势一致区域,区域面积越大,表示二者变化量一致的格网点越多,变化趋势越一致。核密度曲线峰值表示重力场或地磁场的年变化归一化后的集中程度,二者峰值差越小,表示重磁场的变化趋势越一致。
为了量化重力年度变化和岩石圈磁场总强度年度变化在研究区域内的正、负区间面积,分析二者的一致性变化情况,采用对同时期2个场源年际变化图进行正负变化色彩像素提取的方法。首先使用相同的色标尺绘制2个场源的变化图,然后对彩色变化图进行正负颜色的像素提取,获取正负颜色像素的数量,并分别计算像素的总数量,得出区域范围内的正负变化范围面积比。
正负不同颜色像素提取的原理为:
$S_{\text {color }}=\left\{\begin{array}{l}1, R>\omega \text { 且 } G>\psi \text { 且 } B>υ \\0, \text { 其余情况 }\end{array}\right.$
式中,Scolor为提取的满足三原色阈值条件的像素点数;R、G、B为三原色;ω、ψ、υ为三原色的阈值。
对提取出的正值变化区间的像素赋值1,对相同区域面积的图像进行逐个像素判断,累加统计值为1的像素个数,计算出正变化区间面积占比。同理,可以得到图像内负值区间面积占比。
2021-05-21云南漾濞发生6.4级地震,震中(25.67°N,99.87°E)位于南涧-巍山断裂带西侧12 km处。震前(2019—2020年)重力场和岩石圈磁场总强度年变化情况如图 2所示。
从图 2可以看到,震前震中及周边区域重力场和岩石圈磁场总强度均有较大幅度的变化,且二者的变化较为一致,零值变化线大致沿102°E分布,整个区域呈西负东正的变化分布。为了分析多年期震前及震后的重力及地磁场总强度年际变化情况,对2016—2021年的重磁场的年际变化进行分析(图 3)。
为了准确计算重磁场的变化情况,将年度变化归一化结果绘制成图像,并采用像素识别计算方法,得到震前云南地区的变化图像正负面积占比。计算识别结果为:发震前的2019—2020年度,在重力场年变化图中,正、负面积占比为52.26%、47.74%;在岩石圈磁场总强度年变化图中, 正、负面积占比为57.67%、42.33%(表 1)。为了比较分析孕震过程中重磁场变化趋势一致性情况,分别计算震前2016—2017年、2017—2018年、2018—2019年及同震2020—2021年重磁场正负变化的面积占比,结果如图 3所示,同年度内的重磁异常变化正负面积占比计算结果如表 1所示。
通过图像像素识别的计算方法,可以对测区内2个场源变化的像素进行识别,量化重力场和岩石圈磁场总强度正、负变化的面积占比,取代人工判读,便于进行计算机智能分析。通过像素识别计算可知,发震前的2019—2020年度,重力场在云南省区域范围的正负变化面积占比和岩石圈磁场总强度的正负面积占比几乎一致。在图 1中,重力场变化零值线大致沿102°E将研究区域划分为东西2个部分,且左侧大部分区域为重力场负变化,右侧大部分区域为重力场正变化;岩石圈磁场总强度年度零值线分布、正负变化区间和重力场的变化相似。
重磁场数据经归一化处理后,震前2019—2020年的重力场年变化和岩石圈磁场总强度年度变化数据联合核密度曲线分布情况如图 4所示。
2019—2020年的重磁场年际变化联合数据核密度曲线图中,重力场年变化曲线峰值为1.209 4,岩石圈磁场总强度年变化曲线峰值为1.149 4,峰值差为-0.060 0;重磁场联合数据核密度曲线的重合区域面积为0.798 3。
为了进一步分析漾濞地震孕育过程中重磁场联合数据核密度曲线特征的变化情况,对2016年以来震中及周边区域的年际重磁场动态变化进行分析,计算重力场和岩石圈磁场总强度年度变化核密度曲线的峰值差和重合面积。计算得到震前2016—2017年、2017—2018年、2018—2019年及同震2020—2021年的重磁场变化联合分析结果,联合数据核密度曲线峰值和2条曲线的重合面积分布如图 5所示。
根据图 5中2016—2021年云南省重磁场年变化数据联合分析结果,得到2016—2017年、2017—2018年、2018—2019年、2019—2020年和2020—2021年的重力场、岩石圈磁场总强度年际变化峰值和峰值对应横坐标值,二者核密度曲线的重合区域面积结果如表 2所示。
2016—2021年峰值差和重合面积变化情况表明,在发震前1 a重磁场联合数据核密度曲线峰值变化相当且重合性较好。2017年开始,区域范围内的联合数据峰值差逐年减小,数据重合面积增大,并且在同震年份2020—2021年的观测数据中,联合数据峰值差的量值急剧增大,重合面积减小。
将研究区域进行1°×1°格网划分,针对每个格网内的重磁场归一化数据,分别分析每个格网内的联合数据的核密度重叠面积及核密度峰值差情况。震中及周边区域5行×6列的格网区间分布如图 6所示。
对研究区域进行1°×1°的格网划分,并分别计算每个单元格网范围内重磁场年度变化联合数据核密度曲线图,单元格网图按照实际经纬度位置进行排列,计算结果如图 7所示。
重磁场核密度曲线重合情况最好的区域为(25°~26°N,99°~100°E),即为最危险区域,其次为(24°~25°N,102°~103°E)、(26°~27°N,102°~103°E)、(27°~28°N,102°~103°E)。漾濞震中位置为25.67°N、99.87°E,正好位于核密度曲线重合最好区域内。震中位于青藏高原东南缘川滇块体的西边界,区域内分布着多条活动断裂带,且其中的维西-乔后断裂带、红河断裂带等均呈NW向分布。震源区构造应力场呈SSE向(174.57°)低倾伏角(18.79°)挤压,及SWW向(-93.65°)近水平(5.21°)拉张状态,属于典型的走滑应力机制,这种应力场与川滇块体与滇南块体形成的右旋走滑边界有关[14]。受该区域的地质构造特征影响,在此次漾濞地震孕育过程中,物质能量在该区域急剧积累变化,并在地震活动破裂发生前,震中及周边区域重磁场变化表现出明显的一致性,重力场变化和岩石圈磁场总强度变化在震前出现明显的耦合特性。
为进一步证明联合分析方法在震前的预测效果,选取区域内2018-09-08发生的墨江5.9级地震,对震前2017年、2018年的重磁场观测资料进行分析,得到震前2017—2018年云南区域的1°×1°单元格网内重磁场联合数据核密度曲线分布情况,如图 8所示。2018—2019年云南省中强震分布如图 9所示。
图 8中,重力场年变化和岩石圈磁场总强度年变化曲线一致性最好的格网区间为(23°~24°N,100°~102°E),而墨江5.9级地震的震中位置为23.28°N、101.53°E,正好位于2017—2018年重磁场数据联合分析核密度曲线重合最好的区域。利用重磁场变化的震前耦合特性方法,对墨江地震的震中位置进行判断,同样具有较好的效果。
通过分析漾濞6.4级地震及区域内其他地震,发现重力场年度变化与岩石圈磁场总强度年度变化在震前呈现显著耦合关系,具体表现为以下3个方面:
1) 变化趋势的时空一致性。震前随着发震时刻的临近,二者变化态势逐渐趋同,震中区域变化微弱而周边区域变化剧烈,零值变化线分布相似(如漾濞震前零值线均大致沿102°E经线,呈西负东正分布)。核密度曲线显示,2019—2020年(震前1 a)磁场与重力峰值差仅为-0.060 0,为震前最小;2017年起峰值差逐年减小、重合面积增大,至震前达到最优耦合状态;震后(2020—2021年)峰值差骤增至-0.652 0,重合面积下降,变化态势快速背离。
2) 正负变化面积的趋同性。图像像素量化结果显示,2019—2020年重力场正、负变化面积占比为52.26%、47.74%,岩石圈磁场正、负变化面积占比为57.67%、42.33%,二者正负区域占比高度接近;而震前更早年份(如2016—2017年)两者差异显著(重力正占比为17.46%、磁场正占比为21.28%),表明震前1 a正负变化面积一致性显著增强。
3) 空间分布的关联性。1°×1°格网分析显示,重磁场核密度曲线重叠面积最大的区域(25~26°N,99~100°E)与漾濞地震实际震中(25.67°N,99.87°E)高度吻合,墨江5.9级地震也呈现类似特征,说明震前耦合性最强的区域与震中空间对应性显著。
这种耦合源于孕震过程中地壳应力积累导致的物质重新分布(影响重力场)与岩石磁性变化(影响磁场)的协同响应,二者共同反映了震前地壳内部物质与能量调整的统一性。
目前重磁场异常变化在震前耦合关系的具体物理机制尚不明晰,本文基于震前区域范围内的岩石结构特性变化、岩石波速结构等的研究成果,尝试对震前重力场和岩石圈磁场总强度的年际变化存在耦合特性进行解释。
在地震孕育过程中,地壳内的构造应力不断积累和调整,会引起岩石的变形和破裂,这种应力应变的变化会导致岩石的密度、磁性等物理性质发生改变,当应力超过岩石的强度极限时,会产生断层活动或微破裂,这些地质构造运动和变化使地壳物质的分布和密度发生不均匀调整,从而造成重力场和地磁场的异常变化,并且这种变化在地震活动区往往具有一定的同步性和一致性。地震活动使地壳岩石受到强烈的机械破坏和物理化学作用,岩石的微观结构和矿物成分发生改变,从而影响其密度、磁性等物理性质。震源区重力场和岩石圈磁场总强度变化在孕震中满足趋势一致性的特征,对大范围内进行小尺度格网划分能更精确地判定出强震震中位置,融合不同场源分析方法对震中位置的确定具有一定的指导意义。
重磁场耦合效应是地壳内部物理过程的一种综合反映,其物理意义涵盖了地壳物质与能量变化、构造活动以及岩石圈物质与能量交换等多个方面。深入研究重磁场耦合效应的物理机制,对于提高地震预测水平、探测地壳内部结构和物质运动以及理解地球内部的动力学过程具有重要意义。在未来的研究中,需要进一步加强跨学科的交叉研究,结合地质学、地球物理学、地球化学等多个学科的理论和方法,深入探索重磁场耦合效应的本质和规律,为解决地震预测这一全球性科学难题提供更加有力的支持。
本研究以2016—2021年滇西地区多期流动重力和地磁观测数据为基础,系统分析了2021年漾濞6.4级地震前后重力场与地磁场的变化特征,提出了一种基于重磁场耦合效应的地震短临预测新方法,并取得以下几个方面的重要认识:
1) 重力场与地磁场在孕震过程中表现出显著的耦合特性。漾濞地震前,二者在震中区域变化微弱而在周边区域变化剧烈,二者年变趋势高度一致,且随着发震时刻临近,耦合性逐渐增强;震后则快速背离。这一现象通过归一化数据处理与核密度重叠面积分析得到量化验证。
2) 重磁场联合分析对地震震中位置具有良好指示性。在1°×1°格网划分下,2019—2020年度重磁场核密度曲线重叠面积最大区域(25°~26°N,99°~100°E)与实际漾濞地震震中高度吻合。类似地,该方法在2018年墨江5.9级地震中也表现出良好的映震能力。
3) 本研究提出的图像像素识别与核密度分析方法有效实现了重磁场变化区域面积和趋势一致性的量化,能替代传统人工判读,提升了地震预测的客观性与可计算性,尤其适用于6级以上强震的短临预测。
尽管重磁场耦合的物理机制(如应力积累导致的岩石密度与磁性变化、深部物质迁移等)尚未完全明确,但其作为地壳动力过程的综合响应,对理解孕震机理与提升预测准确性具有重要意义。未来需进一步开展多学科交叉研究,结合地质构造、地球物理和数值模拟,深化对重磁耦合机制的认识,推动地震短临预测由经验性向物理机制驱动型迈进。总之,本研究不仅为滇西地区强震预测提供了新的技术途径,也为全国其他地震危险区的短临预测研究提供了有益参考。
  • 中国地震局震情跟踪课题(CEA-ZQGZ-202501040)
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2026年第46卷第5期
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doi: 10.14075/j.jgg.2025.06.212
  • 接收时间:2025-06-24
  • 首发时间:2026-10-29
  • 出版时间:2026-05-15
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  • 收稿日期:2025-06-24
基金
中国地震局震情跟踪课题(CEA-ZQGZ-202501040)
作者信息
    1 云南省地震局, 昆明, 650224
    2 武汉大学测绘学院, 武汉, 430079

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刘东, 高级工程师, 主要从事重力场测量与应用研究, 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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