汤井田^1,2,,
史庆斌³,
胡双贵^1,2,,,
任政勇^1,2,
肖晓^1,2,
曲毅^1,2,
杨磊^1,2,
侯振隆⁴,
庞成⁵
1. 中南大学地球科学与信息物理学院, 长沙 410083
2. 中南大学有色金属成矿预测与地质环境监测教育部重点实验室, 长沙 410083
3. 中铁工程设计咨询集团有限公司, 北京 100055
4. 东北大学资源与土木工程学院, 沈阳 110819
5. 江苏华东八一四地球物理勘查有限公司, 南京 210014

基金项目: 国家高技术研究发展计划（2014AA06A602），国家重点研发计划"深地资源勘查开采"重点专项资助（2018YFC0603202），国家自然科学基金（41574120）和中南大学创新驱动计划（2016CX005）联合资助


详细信息

作者简介: 汤井田, 男, 1965年生, 博导, 主要从事信号处理及电磁法数值模拟研究.E-mail:jttang@csu.edu.cn

通讯作者: 胡双贵, 男, 1988年生, 博士研究生, 从事重磁数据处理与解释研究.E-mail:hushuanggui808@csu.edu.cn

中图分类号: P631

收稿日期:2018-07-05
修回日期:2019-03-12
上线日期:2019-05-05

Edge detection based on curvature of gravity gradient tensors

TANG JingTian^1,2,,
SHI QingBin³,
HU ShuangGui^1,2,,,
REN ZhengYong^1,2,
XIAO Xiao^1,2,
QU Yi^1,2,
YANG Lei^1,2,
HOU ZhenLong⁴,
PANG Cheng⁵
1. School of Geosciences and info-physics of Central South University, Changsha 410083, China
2. The Key Laboratory of Metallogenic Prediction of Nonferrous Metals of Ministry of Education, Central South University, Changsha 410083, China
3. China Railway Engineering Consulting Group Company Limited, Beijing 100055, China
4. School of Resources and Civil Engineering, Northeastern University, Shenyang 110819, China
5. East China 814 Geophysical Prospecting Company Limited, Nanjing 210014, China


More Information

Corresponding author: HU ShuangGui,E-mail:hushuanggui808@csu.edu.cn

MSC: P631

--> Received Date: 05 July 2018
Revised Date: 12 March 2019
Available Online: 05 May 2019


摘要
摘要:重力梯度张量曲率目前广泛用于重力数据的处理和解释中.为了拓宽重力梯度张量曲率的应用，本文回顾了重力梯度张量曲率的定义，从等位面的曲率定义出发，讨论了正确计算曲率的测量参考系及局部旋转的相关理论，并以单个球体和棱柱体为例来说明曲率的正确计算方式.然后，在正确计算重力梯度张量曲率的基础上，将重力梯度张量曲率应用到重力数据的边界识别中，通过理论模型和实际数据详细分析和比较了各种曲率在重力边界识别中的应用效果.结果表明：基于等位面的局部旋转坐标系是各种曲率正确计算的先决条件，纠正了曲率计算的误区；在边界识别中，局部坐标系下所计算的高斯曲率进行边界识别能够较好的圈定地下地质体的边界.
关键词: 重力梯度/
张量曲率/
等位面/
局部旋转坐标系/
边界识别

Abstract:Recently, the curvature of gravity gradient tensors is widely used in processing and interpretation of gravity data. In order to extend the application of this parameter, the local reference system based on the related theory of local rotation is discussed for the correct calculation of curvature using gravity vectors and gradient tensors. And a single sphere and prism as an example is taken to illustrate the correctness of this theory. Then, the correctly calculated curvature of gravity gradient tensors is applied to the edge detection of gravity data. Finally, using the synthetic models and real data, the application effect of various curvatures in edge detection was analyzed and discussed. The results show that the local rotation coordinate system based on the equipotential surface is a prerequisite for correct calculation of various curvatures, which corrects the misunderstanding in the calculation of the curvature. In the edge detection, the Gauss curvature calculated in the local coordinate system can better delineate the edge of the underground geological body.
Key words:Gravity gradient tensor/
Curvature/
Equipotential surface/
Local rotational coordinate system/
Edge detection



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