给定内插高程异常值的精度时对GPS水准网格间距的考虑

Density Design for a GPS Leveling Gridded Network within the Given Accuracy of the Height Anomaly

在已布设GPS水准网的地区,若需内插其中任意一点的高程异常值时,应该了解该内插值的精度。导出了该内插点高程异常值的精度评定方法,并具体给出在我国C级GPS水准网中,该内插点高程异常推估值精度和该地区的地形和栅格重力异常分辨率的数学关系式和实例。在给定内插点高程异常值精度的局域大地水准面时,按不同地形和栅格重力异常分辨率的密度,根据这些数学关系式,可以设计间距合理的B级或C级GPS水准网。

The accuracy evaluation technique has been developed for the height anomaly at any point, which is located in a local GPS leveling gridded network. It has been demonstrated in the paper that the accuracy of the interpolation point depends not only on the accuracy of the local GPS leveling network but also on the topography and the resolution of the gridded gravity network in the corresponding area. The accuracy evaluation formulae and the practical example for the evaluation in a China C order GPS leveling network are also given in the paper. So it is very useful to design the density, i.e. the separation between the stations of a local GPS Leveling Network, when the needed accuracy of the height anomaly is given, and the local topography as well as the resolution of gravity points in the local area is known.