GPS高程拟合方法的对比试验研究

发布时间：2018-04-25 13:51

本文选题：GPS高程拟合 + 多项式曲面拟合　；参考：《城市地质》2016年03期

【摘要】：GPS测量的高程是大地高,而我们日常使用的高程是正常高,这中间存在一个高程异常值,由于地球质量分布不均,这个高程异常值不是个常数。本文简要介绍了常用高程系统及相互的转换关系,重点介绍了多项式曲面拟合和多面函数拟合两种GPS高程拟合方法。结合北京市地面沉降监测项目,利用研究区范围内监测点已有的A级GPS测量数据和一等水准测量数据,采用了五种拟合方法,通过不同的选点方式,再经过MATLAB软件编程计算,对研究区进行了高程拟合,并对各项试验结果分别进行了拟合精度的评定。通过对每个拟合模型进行分析,对拟合结果进行比较和对五种拟合方法进行比较,最后得出结论,选择适当的高程拟合模型进行高程拟合能达到四等水准测量精度,采用二次、三次曲面拟合和多面函数拟合方法均能较好的对研究区进行高程拟合。
[Abstract]:The height measured by GPS is geodetic height, and the height we use in our daily use is normal height. There is a height anomaly in the middle, which is not a constant because of the uneven distribution of the mass of the earth. This paper briefly introduces the commonly used elevation system and the transformation relationship between them, and emphatically introduces two kinds of GPS height fitting methods: polynomial surface fitting and multi-plane function fitting. Combined with the monitoring project of ground subsidence in Beijing, using the A grade GPS survey data and the first class leveling data of the monitoring points in the study area, five fitting methods were adopted, and then the MATLAB software was used to program the calculation through different selection methods. The height fitting of the study area was carried out, and the fitting accuracy of each test result was evaluated. Through analysis of each fitting model, comparison of fitting results and comparison of five fitting methods, it is concluded that selecting appropriate height fitting model for height fitting can achieve fourth-grade leveling accuracy and adopt second order. The methods of cubic surface fitting and polyhedral function fitting can fit the height of the study area well.
【作者单位】：北京市地质工程勘察院;
【分类号】：P228.4

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