Potential fields and their partial derivatives produced by a 2D homogeneous polygonal source: A summary with some revisions | |
Jia, Zhen; Wu, Shiguo; Jia, Z (reprint author), Chinese Acad Sci, Inst Oceanol, Key Lab Marine Geol & Environm, Qingdao, Peoples R China | |
2011-07-01 | |
发表期刊 | GEOPHYSICS |
ISSN | 0016-8033 |
卷号 | 76期号:4页码:L29-L34 |
文章类型 | Article |
摘要 | We summarized and revised the present forward modeling methods for calculating the gravity-and magnetic-field components and their partial derivatives of a 2D homogeneous source with a polygonal cross section. The responses of interest include the gravity-field components and their first-and second-order partial derivatives and the magnetic-field components and their first-order partial derivatives. The revised formulas consist of several basic quantities that are common in all the formulations. A singularity appears when the observation point coincides with a polygon vertex. This singularity is removable for the gravity formulas but not for the others. The compact forms of the revised formulas make them easy to implement. We compare the gravity-and magnetic-field components and their partial derivatives produced by a 2D prism whose polygonal cross section approximates a cylinder with the corresponding analytical fields and partial derivatives of the cylinder. The perfect fittings presented by both data sets confirm the reliability of the updated formulas.; We summarized and revised the present forward modeling methods for calculating the gravity-and magnetic-field components and their partial derivatives of a 2D homogeneous source with a polygonal cross section. The responses of interest include the gravity-field components and their first-and second-order partial derivatives and the magnetic-field components and their first-order partial derivatives. The revised formulas consist of several basic quantities that are common in all the formulations. A singularity appears when the observation point coincides with a polygon vertex. This singularity is removable for the gravity formulas but not for the others. The compact forms of the revised formulas make them easy to implement. We compare the gravity-and magnetic-field components and their partial derivatives produced by a 2D prism whose polygonal cross section approximates a cylinder with the corresponding analytical fields and partial derivatives of the cylinder. The perfect fittings presented by both data sets confirm the reliability of the updated formulas. |
学科领域 | Geochemistry & Geophysics |
DOI | 10.1190/1.3587221 |
URL | 查看原文 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000292156200016 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.qdio.ac.cn/handle/337002/11517 |
专题 | 海洋地质与环境重点实验室 |
通讯作者 | Jia, Z (reprint author), Chinese Acad Sci, Inst Oceanol, Key Lab Marine Geol & Environm, Qingdao, Peoples R China |
作者单位 | Chinese Acad Sci, Inst Oceanol, Key Lab Marine Geol & Environm, Qingdao, Peoples R China |
第一作者单位 | 中国科学院海洋研究所 |
推荐引用方式 GB/T 7714 | Jia, Zhen,Wu, Shiguo,Jia, Z . Potential fields and their partial derivatives produced by a 2D homogeneous polygonal source: A summary with some revisions[J]. GEOPHYSICS,2011,76(4):L29-L34. |
APA | Jia, Zhen,Wu, Shiguo,&Jia, Z .(2011).Potential fields and their partial derivatives produced by a 2D homogeneous polygonal source: A summary with some revisions.GEOPHYSICS,76(4),L29-L34. |
MLA | Jia, Zhen,et al."Potential fields and their partial derivatives produced by a 2D homogeneous polygonal source: A summary with some revisions".GEOPHYSICS 76.4(2011):L29-L34. |
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