测绘学报

• 学术论文 •    

顾及地形与完全球面布格异常梯度项改正的区域似大地水准面精化

李姗姗1,吴晓平2,张传定1,欧阳永忠3   

  1. 1. 信息工程大学测绘学院
    2. 解放军信息工程大学测绘学院一系
    3. 海军海洋测绘研究所
  • 收稿日期:2011-11-22 修回日期:2012-02-08 出版日期:2012-08-25 发布日期:2012-08-25
  • 通讯作者: 李姗姗

Regional Quasi-Geoid Refined Considering Terrain and Gradient of the Refined Spherical Bouguer Anomalies Correction

  • Received:2011-11-22 Revised:2012-02-08 Online:2012-08-25 Published:2012-08-25

摘要: 本文推证了顾及地形与完全球面布格异常梯度改正的完全到一阶项的物理大地测量边值问题的严密解式,并在某实验区综合利用地形、重力、GPS/水准等数据进行了区域似大地水准面的计算与检验。通过对高程异常计算绝对与相对精度的比较分析,结果表明,完全球面布格异常梯度改正项对高程异常的影响能够达到厘米的量级。因此,为提高区域似大地水准面的建模精度,尤其是在地形起伏较大的区域,除需顾及地形改正项影响外,还应考虑完全球面布格异常梯度改正项对高程异常的影响。

Abstract: Rigorous formulae of the boundary problem in physical geodesy had been proved considering terrain and gradient of the refined spherical Bouguer anomalies correction. Regional quasi-geoid had been calculated and tested using terrain data, gravity and GPS / leveling data with formulae derived in this paper. Results show that the effect extent by gradient of the refined spherical Bouguer anomalies correction could be up to centimeters. In order to improve the precision of the modeling, gradient of the refined spherical Bouguer anomalies correction should be considered besides terrain correction, especially in the region with great undulation.

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