联合使用位模型和地形信息的陆区航空重力向下延拓方法

doi:10.11947/j.AGCS.2015.20130751

测绘学报 ›› 2015, Vol. 44 ›› Issue (4): 355-362.doi: 10.11947/j.AGCS.2015.20130751

• 大地测量学与导航 • 下一篇

联合使用位模型和地形信息的陆区航空重力向下延拓方法

黄谟涛^1,2, 宁津生³, 欧阳永忠^1,3, 邓凯亮¹, 翟国君^1,2, 陆秀平¹, 吴太旗¹

1. 海军海洋测绘研究所, 天津 300061;
2. 海军工程大学导航工程系, 湖北武汉 430033;
3. 武汉大学测绘学院, 湖北武汉 430079

收稿日期:2014-01-01 修回日期:2014-12-31 出版日期:2015-04-20 发布日期:2015-04-27
作者简介:黄谟涛(1961—),男,博士生导师,研究方向为海洋重力场测定理论方法.E-mail:ouyangyz@sohu.com
基金资助:
国家973计划(613219);国家自然科学基金(41474012;41174062;41374018);国家重大科学仪器设备开发专项(2011YQ12004503)

Downward Continuation of Airborne Gravimetry on Land Using Geopotential Model and Terrain Information

HUANG Motao^1,2, NING Jinsheng³, OUYANG Yongzhong^1,3, DENG Kailiang¹, ZHAI Guojun^1,2, LU Xiuping¹, WU Taiqi¹

1. Naval Institute of Hydrographic Surveying and Charting, Tianjin 300061, China;
2. Department of Navigation, Naval University of Engineering, Wuhan 430033, China;
3. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China

Received:2014-01-01 Revised:2014-12-31 Online:2015-04-20 Published:2015-04-27
Supported by:
The National Basic Research Program of China(973 Program)(No.613219);The National Natural Science Foundation of China(Nos.41474012;41174062;41374018);The Great Scientific Instrument Development Project of China(No.2011YQ12004503)

摘要/Abstract

摘要： 为了规避传统逆Poisson积分向下延拓解算过程的不适定性问题,借鉴导航定位中的“差分”概念,利用超高阶位模型直接计算海域航空重力测量向下延拓改正数的方法.本文在此基础上提出联合使用重力位模型和地形高数据,计算陆部航空重力向下延拓总改正数的改进方案,以飞行高度面与地面对应点的位模型差分信息表征总改正数的中长波分量,以相对应的局部地形改正差分修正量表征总改正数的中高频成分,从而实现航空重力数据点对点向地面的全频段延拓.在地形变化不同区域,联合使用EGM2008位模型、地面实测重力和高分辨率高程数据进行了实际数值计算和精度评估,验证了该方法的有效性.

关键词: 航空重力测量, 向下延拓, EGM2008位模型, 数字高程模型(DEM), 局部地形改正

Abstract: In order to evade the ill-posedness of downward continuation for airborne gravity data using traditional inverse Poisson integral, in a recent published article,a practical downward continuation method of airborne gravity data was used for the sea surveying areas using the differential conception in navigation and location for reference, in which the continuation corrections are calculated using ultra-high-degree geopotential model. In this paper, we continue using the same idea and develop the method to the application for land surveying areas. It suggests that terrain Information can be used to improve the calculated accuracy of continuation correction from geopotential model. The differential of local topographic corrections on flying height and corresponding ground point is added to the continuation correction from geopotential model, and it makes up the total continuation correction. It is ultimately realized to continue airborne gravity measurements to the ground in full frequency extension. EGM2008 geopotential model, ground gravity data and digital elevation model in high resolution are used as a case study to prove the efficiency of the new method.

Key words: airborne gravimetry, downward continuation, EGM2008 geopotential model, digital elevation model(DEM), local topographic correction

中图分类号:

P223

黄谟涛, 宁津生, 欧阳永忠, 邓凯亮, 翟国君, 陆秀平, 吴太旗. 联合使用位模型和地形信息的陆区航空重力向下延拓方法[J]. 测绘学报, 2015, 44(4): 355-362.

HUANG Motao, NING Jinsheng, OUYANG Yongzhong, DENG Kailiang, ZHAI Guojun, LU Xiuping, WU Taiqi. Downward Continuation of Airborne Gravimetry on Land Using Geopotential Model and Terrain Information[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(4): 355-362.

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联合使用位模型和地形信息的陆区航空重力向下延拓方法

Downward Continuation of Airborne Gravimetry on Land Using Geopotential Model and Terrain Information

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