重力梯度之地形改正方法与研究

简要介绍地形起伏对地面点重力梯度的影响,推导棱柱法计算重力梯度改正的严格积分公式并和积分核累加法对比验证了其正确性;将积分区域划分为中央区和远区,中央区采用严格的棱柱法进行计算,远区采用线性积分的方式逼近真实值,简化了积分过程;根据重力梯度应用的要求针对不同类型地形设定了中央区划分准则。实验表明:根据文中提出的方法和分区准则,相比于传统的积分法和棱柱法,计算速度得到提高,且精度要求相比于积分核累加法优于0.01E。

Methods of terrain correction on gravity gradiometry

This paper presents the influence of gravity gradient caused by topographic relief on ground points briefly.Strict integral formula of gradient correction is deduced in Performance Prism,whose correctness is verified compared with Integral Nuclear Accumulation Method. The integration zone is divided in two parts,one of which is the center zone,and the other is the outside zone.The integration process is simplified using linear integral approximation to the real values in outside zone and time is shorten using the rules of partition for different types of terrain.Experiments show that computing time is shorter and accuracy is better than the 0.01 E compared with Integral Nuclear Accumulation Method based on the method and the partition criterion proposed in this paper.