Magnetic and magnetic gradient fields due to a finite line segment

IF 2.2 3区 地球科学 Q2 GEOSCIENCES, MULTIDISCIPLINARY
Hyoungrea Rim , Mengli Zhang , Yaoguo Li
{"title":"Magnetic and magnetic gradient fields due to a finite line segment","authors":"Hyoungrea Rim ,&nbsp;Mengli Zhang ,&nbsp;Yaoguo Li","doi":"10.1016/j.jappgeo.2025.105682","DOIUrl":null,"url":null,"abstract":"<div><div>We derive the closed-form expressions for the magnetic field and magnetic gradient tensor produced by a finite line segment with uniform magnetization. Following the classical approach, we firstly derive the gravitational potential for a line segment by a line integral and derive the gravity vector and gravity gradient tensor through differentiations with respect to Cartesian axis. The magnetic field expression is then obtained from the gravity gradient tensor using Poisson's relation. We verify the validity of the solutions numerically through comparison with the result from a different formulation as well as with a dipolar field. The results provide an efficient means to calculate the ground and drone-measured magnetic responses in environmental and engineering applications such as locating abandoned ferromagnetic pipe lines and characterizing well casings and flow lines in the legacy oil and gas fields.</div></div>","PeriodicalId":54882,"journal":{"name":"Journal of Applied Geophysics","volume":"237 ","pages":"Article 105682"},"PeriodicalIF":2.2000,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Geophysics","FirstCategoryId":"89","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0926985125000631","RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"GEOSCIENCES, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

We derive the closed-form expressions for the magnetic field and magnetic gradient tensor produced by a finite line segment with uniform magnetization. Following the classical approach, we firstly derive the gravitational potential for a line segment by a line integral and derive the gravity vector and gravity gradient tensor through differentiations with respect to Cartesian axis. The magnetic field expression is then obtained from the gravity gradient tensor using Poisson's relation. We verify the validity of the solutions numerically through comparison with the result from a different formulation as well as with a dipolar field. The results provide an efficient means to calculate the ground and drone-measured magnetic responses in environmental and engineering applications such as locating abandoned ferromagnetic pipe lines and characterizing well casings and flow lines in the legacy oil and gas fields.
有限线段的磁场和磁场梯度场
导出了均匀磁化有限线段所产生的磁场和磁梯度张量的封闭表达式。在经典方法的基础上,首先通过线积分推导出线段的引力势,然后通过对笛卡尔轴的微分推导出重力矢量和重力梯度张量。然后利用泊松关系从重力梯度张量得到磁场表达式。通过与另一种公式和偶极场的结果比较,验证了解的数值有效性。该结果为计算环境和工程应用中的地面和无人机测量的磁响应提供了一种有效手段,例如定位废弃的铁磁管线,以及表征传统油气田的套管和流线。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Journal of Applied Geophysics
Journal of Applied Geophysics 地学-地球科学综合
CiteScore
3.60
自引率
10.00%
发文量
274
审稿时长
4 months
期刊介绍: The Journal of Applied Geophysics with its key objective of responding to pertinent and timely needs, places particular emphasis on methodological developments and innovative applications of geophysical techniques for addressing environmental, engineering, and hydrological problems. Related topical research in exploration geophysics and in soil and rock physics is also covered by the Journal of Applied Geophysics.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信