摘要
利用近7万个湖南及邻近省份重力观测数据、502个GNSS/水准控制点及数字高程模型,以EIGEN-6C4全球重力场模型作参考重力场,采用顾及地球曲率影响的各类地形质量位及引力的第二类Helmert凝集法严密算法,利用高分辨率地形数据恢复甚短波扰动重力场,确定空间分辨率2′×2′的高精度湖南省似大地水准面模型(HNGG2017)。经外部检核,模型整体精度均优于±0.022m。与历史模型相比,新模型在湖南北部常德汉寿、西南部永州江永等地区精度得到显著改善。
Using nearly 70 000 gravity observation data,SRTM topographic data and GNSS/leveling control points data from Hunan and nearby districts,the EIGEN-6C4 global gravity fields model is taken to be the reference gravity field.And the Stokes-Helmert approach and spherical cap harmonic analysis are conducted to construct the 2′×2′resolution Hunan GNSS gravity geoid model(HNGG2017).The precision test shows that the external error range is±0.022 m.Compared to the historic model,the error of the new model in north areas such as Changde Hanshou and southwest areas such as Yongzhou Jiangyong are significantly reduced.
引文
[1]宁津生,李建成,晁定波,等.WDM94 360阶地球重力场模型研究[J].武汉测绘科技大学学报,1994,19(4):283-291(Ning Jinsheng,Li Jiancheng,Chao Dingbo,et al.The Research of the Earth’s Gravity Field Model WDM94Complete to Degree 360[J].Journal of Wuhan Technical University of Surveying and Mapping,1994,19(4):283-291)
[2]管泽霖,李建成,晁定波,等.WZD94中国重力大地水准面研究[J].武汉测绘科技大学学报,1994,19(4):292-297(Guan Zelin,Li Jiancheng,Chao Dingbo,et al.The Research of Gravity Geoid WZD94in China[J].Journal of Wuhan Technical University of Surveying and Mapping,1994,19(4):292-297)
[3]陈俊勇,李建成,宁津生,等.中国新一代高精度、高分辨率大地水准面的研究和实施[J].武汉大学学报:信息科学版,2001,26(4):283-289(Chen Junyong,Li Jiancheng,Ning Jinsheng,et al.A New Chinese Geoid with High Resolution and High Accuracy[J].Geomatics and Information Science of Wuhan University,2001,26(4):283-289)
[4]魏子卿,王刚.用地球位模型和GPS/水准数据确定我国大陆似大地水准面[J].测绘学报,2003,32(1):1-5(Wei Ziqing,Wang Gang.Determination of Quasi-Geoid in Mainland China Using Geopotential Model and GPS/Leveling Data[J].Acta Geodaetica et Cartographic Sinica,2003,32(1):1-5)
[5]李建成.最新中国陆地数字高程基准模型:重力似大地水准面CNGG2011[J].测绘学报,2012,41(5):651-660(Li Jiancheng.The Recent Chinese Terrestrial Digital Height Datum Model:Gravimetric Quasi-Geoid CNGG2011[J].Acta Geodaetica et Cartographica Sinica,2012,41(5):651-650)
[6]杨翼飞,唐长增.基于EGM2008地球重力场模型的广西似大地水准面优化研究[J].测绘通报,2014(1):50-53(Yang Yifei,Tang Changzeng.The Guangxi Quasi-Geoid Optimization Research Based on EGM2008[J].Bulletin of Surveying and Mapping,2014(1):50-53)
[7]佟洞,李昱春,宋玉兵.江苏省陆海统一测绘基准的建设探讨[J].现代测绘,2017,40(4):49-52(Tong Dong,Li Yuchun,Song Yubing.Discussion on Land and Sea Unified Mapping Benchmark Construction in Jiangsu Province[J].Modern Surveying and Mapping,2017,40(4):49-52)
[8]刘鹏程,戴建清,匡志威.长沙市高精度似大地水准面模型的确定[J].城市勘测,2014(1):113-116(Liu Pengcheng,Dai Jianqing,Kuang Zhiwei.The Establishment of Changsha High Accuracy Quasi-Geoid Refinement Model[J].Urban Geotechnical Investigation&Surveying,2014(1):113-116)
[9]杜向锋,张兴福,段杰.应用卫星定位技术确定韶关市区似大地水准面[J].导航定位学报,2014,2(3):83-86(Du Xiangfeng,Zhang Xingfu,Duan Jie.Determination of Shaoguan City Quasi-Geoid by Using Satellite Positioning Data[J].Journal of Navigation and Positioning,2014,2(3):83-86)
[10]唐秋祥,伍百发.湖南省似大地水准面的精度检测和特征分析[J].测绘科学,2013,38(3):10-13(Tang Qiuxiang,Wu Baifa.Precision Testing and Characteristics Analysis of Quasi-Geoid in Hunan Province[J].Science of Surveying and Mapping,2013,38(3):10-13)
[11]唐秋祥,伍百发.省级似大地水准面的局部再精化[J].测绘科学,2013,38(4):7-9(Tang Qiuxiang,Wu Baifa.Further Refining Provincial Local Quasi-Geoid[J].Science of Surveying and Mapping,2013,38(4):7-9)
[12]Vaní8ek P,Huang J,Novák P,et al.Determination of the Boundary Values for the Stokes-Helmert Problem[J].Journal of Geodesy,1999,73(4):180-192
[13]冯进凯,王庆宾,黄佳喜,等.多个超高阶重力场模型精度分析[J].测绘科学技术学报,2017,34(4):358-363(Feng Jinkai,Wang Qingbin,Huang Jiaxi,et al.The Accuracy Analysis of Multiple Ultra-High-Degree Gravity Field Models[J].Journal of Geomatics Science and Technology,2017,34(4):358-363)