多类重力场模型的精度分析  

Precision analysis of multi class gravity field model

作　　者：郭春喜 张盼盼[1] 马艳鸽 GUO Chunxi;ZHANG Panpan;MA Yange(School of Geology Engineering and Geomatics, Chang an University, Xi’an 710064, China;Geodetic Data Processing Center, State Bureau of Surveying and Mapping, Xi’an 710054, China)

机构地区：[1]长安大学地质工程与测绘学院,陕西西安710064 [2]国家测绘地理信息局大地测量数据处理中心,陕西西安710054

出　　处：《测绘工程》2019年第4期1-6,12,共7页Engineering of Surveying and Mapping

基　　金：国家自然科学基金资助项目(41574003);国家测绘地理信息局科技创新项目(2018KJ0205)

摘　　要：分析国际公布的EGM2008、GECO和EIGEN-6C4等超高阶重力场模型及GOCO03S、GOCONSGCF2DIRR5和GOCONSGCF2TIMR5等低阶重力场模型的内符合精度。利用实测的GNSS/水准数据对各模型进行外符合精度的检核。分析6个模型在不同阶次组合的精度,进而选取可靠的截断阶次确定组合重力场模型。计算结果表明:EGM2008、GECO、EIGEN-6C4及DIRR5四个重力场模型的阶方差均保持在mm级,而GOCO03S在191阶之后的精度达到dm级,TIMR5模型在228阶之后的精度达到dm级;6个重力场模型中,EIGEN-6C4模型的累计阶方差最小;EGM2008、GECO模型的互差阶方差在高频部分呈现差异,而在超高阶部分两种模型的互差阶方差符合性好;与EGM2008模型相比,其组合重力场模型高程异常精度最优可达0.063 m,精度提升幅度为15%,与GECO模型相比,其组合重力场模型高程异常精度最优可达0.060 m,精度提升幅度为23%,与EIGEN-6C4模型相比,其对应的组合重力场模型高程异常精度最优可达0.064 m,精度提升幅度为18%,因此,组合重力场模型能提高重力场模型高程异常的精度。The internal accuracy of ultra-high order gravity field models EGM2008, GECO, EIGEN-6C4 and low order gravity field models GOCO03S, GOCONSGCF2DIRR5 and GOCONSGCF2TIMR5 is analyzed. The measured GNSS/level data is used to check the accuracy of each model. This paper analyzes the accuracy of the 6 models in different order combinations, and then selects a reliable truncation order to determine the combined gravity field model. The calculation result shows that the order variance of four gravitational field models of EGM2008, GECO, EIGEN-6C4 and DIRR5 are all kept at mm level, while the accuracy of GOCO03 S after 191 orders reaches dm level, and the accuracy of TIMR5 model after 228 order reaches dm level;in the six gravity field models, the cumulative order variance of the EIGEN-6C4 model is the least;the cross order difference of EGM2008 and GECO models shows a great difference in the high-frequency part, while the difference order variance in the two models of super high order shows good consistency. Compared with EGM2008 model, the corresponding combination of gravity field model of height anomaly optimum precision are respectively up to 0.063 m,corresponding to improve the accuracy rate-15%;Compared with GECO model, the corresponding combination of gravity field model of height anomaly optimum precision are respectively up to 0.060 m, corresponding to improve the accuracy rate-23%;Compared with EIGEN-6C4 model, the corresponding combination of gravity field model of height anomaly optimum precision are respectively up to 0.064 m, corresponding to improve the accuracy rate-18%. Therefore, the combination of gravity field model can improve the gravity field model of precision.

关 键 词：重力场模型 内外符合精度 截断阶次 组合重力场模型 阶方差 

分 类 号：P224[天文地球—大地测量学与测量工程]