航空矢量重力测量水平分量的带限直接地形影响

doi:10.13485/j.cnki.11-2089.2014.0144

测绘学报 ›› 2014, Vol. 43 ›› Issue (10): 1019-1024.doi: 10.13485/j.cnki.11-2089.2014.0144

航空矢量重力测量水平分量的带限直接地形影响

周波阳¹,²,罗志才²,³,⁴,宁津生²,³,钟波³,⁵

1. 广东工业大学测绘工程系
2. 武汉大学　测绘学院
3. 武汉大学地球空间环境与大地测量教育部重点实验室
4. 测绘遥感信息工程国家重点实验室
5. 武汉大学测绘学院

收稿日期:2013-12-05 修回日期:2014-03-14 出版日期:2014-10-20 发布日期:2014-10-24
通讯作者: 周波阳 E-mail:byzhou@whu.edu.cn
基金资助:
国家自然科学基金;国家973计划项目;地球空间环境与大地测量教育部重点实验室开放基金

Band-limited Direct Topographical Effects of Horizontal Components in Airborne Vector Gravimetry

ZHOU Boyang¹,²,LUO Zhicai²,³,⁴,NING Jinsheng²,⁴,ZHONG Bo²,⁴

1. Department of Surveying and Mapping, Guangdong University of Technology
2. School of Geodesy and Geomatics, Wuhan University
3. State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing
4. Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University

Received:2013-12-05 Revised:2014-03-14 Online:2014-10-20 Published:2014-10-24
Contact: ZHOU Boyang E-mail:byzhou@whu.edu.cn

摘要/Abstract

摘要：

基于第二类Helmert凝聚法的级数展开式，独立推导了航空矢量重力测量水平分量带限直接地形影响的计算公式。在中国西部山区选取了两条沿纬圈方向4000m航线高度上的航线，采用的数字高程模型基于解析核计算了水平分量的直接地形影响，经低通滤波后与基于带限公式计算的地形影响进行了比较。数值计算结果表明，二者吻合较好，本文给出的带限地形影响公式可用于航空矢量重力测量水平分量的地形归算。

关键词: 航空矢量重力测量, 水平分量, 带限直接地形影响, 第2类Helmert凝集法

Abstract:

Based on the series-expanded expression of Helmert’s 2nd condensation method, formulae of band-limited direct topographical effect of horizontal components in airborne vector gravimetry are deduced independently. Using a digital elevation model, direct topographical effects of the horizontal components are computed based on the analytical kernel along selected flight lines in western area of China with flight height of 4000m, these values are processed by low-pass filter and compared to values computed by the band-limited formulae. It turns out that both topographical effects have a good consistence, and the band-limted formulae can be used for topography reduction for horizontal components of airborne vector gravimetry.

Key words: airborne vector gravimetry, horizontal components, band-limited direct topographical effect, Helmert’s 2nd condensation method

中图分类号:

P207

周波阳罗志才宁津生钟波. 航空矢量重力测量水平分量的带限直接地形影响[J]. 测绘学报, 2014, 43(10): 1019-1024.

ZHOU Boyang LUO Zhicai NING Jinsheng ZHONG Bo. Band-limited Direct Topographical Effects of Horizontal Components in Airborne Vector Gravimetry[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(10): 1019-1024.

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航空矢量重力测量水平分量的带限直接地形影响

Band-limited Direct Topographical Effects of Horizontal Components in Airborne Vector Gravimetry

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