顾及地球重力场模型的GNSS高程转换方法
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摘要
针对使用单纯数学模型在进行GNSS高程拟合过程中,只能体现测区高程异常的大致趋势,无法表现出细节变化,进而影响GNSS高程转换精度的问题。提出了地球重力场模型与数学函数相结合的"移去-拟合-恢复"GNSS高程转换方法,以安徽省淮南市某矿工作面走向线为例,分别采用单纯数学模型和顾及EIGEN-6C4、EIGEN-6C2、EGM2008地球重力场模型的"移去-拟合-恢复"法进行了高程转换研究,并将各种高程转换的结果进行了对比分析。结果表明,多面函数相对二次曲面的转换精度较好,顾及地球重力场模型的"移去-拟合-恢复"法较单纯数学模型的高程转换精度有了大幅度的提高;顾及EIGEN-6C4地球重力场模型的GNSS高程转换精度,优于顾及EIGEN-6C2地球重力场模型的转换精度,优于顾及EGM2008地球重力场模型的转换精度。
In the process of GNSS elevation fitting with purely mathematical model,only the general trend of elevation anomaly in the survey area can be shown,the detail change can't be shown,thus affecting the accuracy of GNSS elevation transformation.In this paper,we propose a"remove-fit-recover"GNSS elevation transformation method combining the Earth's gravitational field model with the mathematical function.Taking the strike line of a mining face in Huainan ciry,Anhui Province as an example,the mathematical model and the "Alt-Fitting-Resuming"method which take EIGEN-6 C4,EIGEN-6 C2 and EGM2008 models into account Elevation transfer study,a variety of elevation conversion results also were compared.The results show that the conversion accuracy of multi-facial function relative to quadratic surface is better,and the accuracy of the "Alt-Fitting-Resuming"method of Earth Gravity Field model is greatly improved compared with pure mathematical model.The GNSS elevation conversion accuracy of the considering EIGEN-6 C4 earth gravity model,it is better than that of the considering EIGEN-6 C2 earth gravity model, which is superior to the earth gravity field model of considering EGM2008.
In the process of GNSS elevation fitting with purely mathematical model,only the general trend of elevation anomaly in the survey area can be shown,the detail change can't be shown,thus affecting the accuracy of GNSS elevation transformation.In this paper,we propose a"remove-fit-recover"GNSS elevation transformation method combining the Earth's gravitational field model with the mathematical function.Taking the strike line of a mining face in Huainan ciry,Anhui Province as an example,the mathematical model and the "Alt-Fitting-Resuming"method which take EIGEN-6 C4,EIGEN-6 C2 and EGM2008 models into account Elevation transfer study,a variety of elevation conversion results also were compared.The results show that the conversion accuracy of multi-facial function relative to quadratic surface is better,and the accuracy of the "Alt-Fitting-Resuming"method of Earth Gravity Field model is greatly improved compared with pure mathematical model.The GNSS elevation conversion accuracy of the considering EIGEN-6 C4 earth gravity model,it is better than that of the considering EIGEN-6 C2 earth gravity model, which is superior to the earth gravity field model of considering EGM2008.
引文
[1]余宣兴,詹昊,朱明新,等.EGM2008地球重力场模型在GPS高程转换中的应用研究[J].测绘通报,2013,(12):18-20.(YU Xuanxing,ZHAN Hao,ZHU Mingxing,et al.Application of EGM2008earth gravity model in GPS conversion[J].Bulletin of Surveying and Mapping,2013,(12):18-20.)
[2]吴恒友.基于EGM2008重力场模型的GPS高程拟合测量的实用性分析[J].大地测量与地球动力学,2015,35(6):945-947,952.(WU Hengyou.Application of EGM2008model in GPS elevation survey[J].Journal of Geodesy and Geodynamics,2015,12(6):945-947,952.)
[3]束蝉方,李斐,郝卫峰.EGM2008模型在中国某地区的检核及适用性分析[J].武汉大学学报(信息科学版),2011,36(8):919-922.(SHU Changfang,LI Fei,HAO Weifeng.Evaluation of EGM2008and its application analysis over a particular region of China[J].Geomatics of Information Science of Wuhan University,2011,36(8):919-922.)
[4]荣敏,周巍,陈春旺.重力场模型EGM2008和EGM96在中国地区的比较与评价[J].大地测量与地球动力学,2009,29(6):123-125.(RONG Min,ZHOU Wei,CHEN Chunwang.Evaluation of gravity field models EGM2008and EGM96applied in Chinese area[J].Journal of Geodesy and Geodynamics,2009,29(6):123-125.)
[5]章传银,郭春喜,陈俊勇,等.EGM2008地球重力场模型在中国大陆适用性分析[J].测绘学报,2009,38(4):283-289.(ZHANG Chuanyin,GUO Chunxi,CHEN Junyong,et al.EGM2008and its application analysis Chinese mainland[J].Acta Geodaetica et Cartographica Sinica,2009,38(4):283-289.)
[6]赵德军,张敏利,王强,等.EIGEN-6C2重力场模型在中国大陆的精度分析[J].大地测量与地球动力学,2014,34(10):21-24,20.(ZHAO Dejun,ZHANG Minli,WANG Qiang,et al.Accuracy analysis of EIGEN-6C2geopotential model in China mainland[J].Journal of Geodesy and Geodynamics,2014,34(10):21-24,20.)
[7]范宏涛,郭春喜,王小华,等.超高阶重力场模型EIGEN-6C2适应性分析[J].测绘科学,2015,40(9):18-22.(FAN Hongtao,GUO Chunxi,WANG Xiaohua,et al.Adaptability analysis on ultra-high-gravity model EIGEN-6C2in Chinese coastal zone[J].Science of Surveying and Mapping,2015,40(9):18-22.)
[8]丁剑,许厚泽,章传银.基于大地水准面经典定义的地球重力场模型评价[J].中国科学院大学学报,2016,33(04):528-536.(DIN Jian,XU Houze,ZHANG Chuanyin.Evaluation of earth gravitational models based on classic geoid definition[J].Journal of University of Chinese Academy of Sciences,2016,33(04):528-536.)
[9]李建成,褚永海,徐新禹.区域与全球高程基准差异的确定[J].测绘学报,2017,46(10):1262-1273.(LI Jiancheng,CHU Yonghai,XU Xinyu.Determination of vertical datum offset between the regional and the global height datum[J]. Acta Geodaetica et Cartographica Sinica,2017,46(10):1262-1273.)
[10]赫林,李建成,褚永海.1985国家高程基准与全球高程基准之间的垂直偏差[J].测绘学报,2016,45(7):768-774.(HE Lin,LI Jiancheng,CHU Yonghai.The vertical shift between 1985 national height datum and global vertical datum[J].Acta Geodaetica et Cartographica Sinica,2016,45(7):768-774.)
[11]管真,陈剑杰,尉伯虎,等.基于EGM2008的GPS水准拟合在复杂地形中的应用研究[J].大地测量与地球动力学,2012,32(4):120-124.(GUAN Zhen,CHEN Jianjie,YU Bohu,et al.Application of GPS leveling fitting based on EGM2008in complex terrain[J].Journal of Geodesy and Geodynamics,2012,32(4):120-124.)
[12]李玉平,郭际明,周丹,等.EGM2008求解高程异常在新疆地区的精度分析[J].大地测量与地球动力学,2017,37(6):638-643.(LI Yuping,GUO Jiming,ZHOU Dan,et al.Precision analysis of EGM2008sloving height anomaly in XinJiang area[J].Journal of Geodesy and Geodynamics,2017,37(6):638-643.)
[13]杨翼飞,唐增长.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 Zengzhang.The Guangxi quasi-geoid optimization research based on EGM2008[J].Bulletin of Surveying and Mapping,2014(1):50-53.)
[14]张兴福,刘成.综合EGM2008模型和SRTM/DTM2006.0剩余地形模型的GPS高程转换方法[J].测绘学报,2012,41(1):25-32.(ZHANG Xingfu,LIU Cheng.The Approach of GPS height transformation based on EGM2008and SRTM/DTM2006.0residual terrain model[J].Acta Geodaetica et Cartographica Sinica,2012,41(1):25-32.)
[15]谷延超,范东明.顾及EGM2008和残差地形模型的GPS高程转换方法研究[J].测绘工程,2013,22(2):26-29.(GU Yanchao,FAN Dongming.Study on GPS height transformation by combining EGM2008 and residual terrain model[J].Engineering of Surveying and Mapping,2013,22(2):26-29.)
[16]万谋知.顾及EGM 2008重力场模型的移去-恢复技术GPS高程拟合[J].地理空间信息,2014,12(5):114-115,118,11.(WAN Mouzhi.GPS height fitting based on remove-restore method considering the EGM2008earth gravity field[J].Geospatial Information,2014,12(5):114-115,118,11.)
[17]张兴福,沈云中,楼立志.EIGEN-CG01C用于GPS高程转换的精度分析[J].大地测量学与测量工程,2005,25(4):74-78.(ZHANG Xingfu,SHEN Yunzhong,LOU Lizhi.Accuracy analysis of GPS height transformation with EIGEN-CG01Cmodel[J].Journal of Geodesy and Geodynamics,2005,25(4):74-78.)
[18]范宏涛.利用重力场模型对中国陆地和岛礁GNSS水准沉降进行分析[J].测绘与空间地理信息,2015,38(1):84-87,90.(FAN Hongtao.Using agravity model to analyze the Chinese land and islands of GNSS leveling settlement[J].Geomatics&Spatial Information Technology,2015,38(1):84-87,90.)
[19]张幸福,刘成,刘红新.利用GPS/水准数据检核EGM2008重力场模型的精度[J].测绘通报,2009(2):7-9.(ZHANG Xingfu,LIU Cheng,LIU Hongxin.Accuracy validation of EGM2008 model using GPS/leveling data[J].Bulletin of Surveying and Mapping,2009(2):7-9)
[20]程怀远.顾及EGM2008重力场模型的GPS高程拟合研究[J].全球定位系统,2014,39(1):82-84.(CHEN Huaiyuan.Study on GPS height transformation by combining EGM 2008[J].GNSS Word of China,2014,39(1):82-84.)
[2]吴恒友.基于EGM2008重力场模型的GPS高程拟合测量的实用性分析[J].大地测量与地球动力学,2015,35(6):945-947,952.(WU Hengyou.Application of EGM2008model in GPS elevation survey[J].Journal of Geodesy and Geodynamics,2015,12(6):945-947,952.)
[3]束蝉方,李斐,郝卫峰.EGM2008模型在中国某地区的检核及适用性分析[J].武汉大学学报(信息科学版),2011,36(8):919-922.(SHU Changfang,LI Fei,HAO Weifeng.Evaluation of EGM2008and its application analysis over a particular region of China[J].Geomatics of Information Science of Wuhan University,2011,36(8):919-922.)
[4]荣敏,周巍,陈春旺.重力场模型EGM2008和EGM96在中国地区的比较与评价[J].大地测量与地球动力学,2009,29(6):123-125.(RONG Min,ZHOU Wei,CHEN Chunwang.Evaluation of gravity field models EGM2008and EGM96applied in Chinese area[J].Journal of Geodesy and Geodynamics,2009,29(6):123-125.)
[5]章传银,郭春喜,陈俊勇,等.EGM2008地球重力场模型在中国大陆适用性分析[J].测绘学报,2009,38(4):283-289.(ZHANG Chuanyin,GUO Chunxi,CHEN Junyong,et al.EGM2008and its application analysis Chinese mainland[J].Acta Geodaetica et Cartographica Sinica,2009,38(4):283-289.)
[6]赵德军,张敏利,王强,等.EIGEN-6C2重力场模型在中国大陆的精度分析[J].大地测量与地球动力学,2014,34(10):21-24,20.(ZHAO Dejun,ZHANG Minli,WANG Qiang,et al.Accuracy analysis of EIGEN-6C2geopotential model in China mainland[J].Journal of Geodesy and Geodynamics,2014,34(10):21-24,20.)
[7]范宏涛,郭春喜,王小华,等.超高阶重力场模型EIGEN-6C2适应性分析[J].测绘科学,2015,40(9):18-22.(FAN Hongtao,GUO Chunxi,WANG Xiaohua,et al.Adaptability analysis on ultra-high-gravity model EIGEN-6C2in Chinese coastal zone[J].Science of Surveying and Mapping,2015,40(9):18-22.)
[8]丁剑,许厚泽,章传银.基于大地水准面经典定义的地球重力场模型评价[J].中国科学院大学学报,2016,33(04):528-536.(DIN Jian,XU Houze,ZHANG Chuanyin.Evaluation of earth gravitational models based on classic geoid definition[J].Journal of University of Chinese Academy of Sciences,2016,33(04):528-536.)
[9]李建成,褚永海,徐新禹.区域与全球高程基准差异的确定[J].测绘学报,2017,46(10):1262-1273.(LI Jiancheng,CHU Yonghai,XU Xinyu.Determination of vertical datum offset between the regional and the global height datum[J]. Acta Geodaetica et Cartographica Sinica,2017,46(10):1262-1273.)
[10]赫林,李建成,褚永海.1985国家高程基准与全球高程基准之间的垂直偏差[J].测绘学报,2016,45(7):768-774.(HE Lin,LI Jiancheng,CHU Yonghai.The vertical shift between 1985 national height datum and global vertical datum[J].Acta Geodaetica et Cartographica Sinica,2016,45(7):768-774.)
[11]管真,陈剑杰,尉伯虎,等.基于EGM2008的GPS水准拟合在复杂地形中的应用研究[J].大地测量与地球动力学,2012,32(4):120-124.(GUAN Zhen,CHEN Jianjie,YU Bohu,et al.Application of GPS leveling fitting based on EGM2008in complex terrain[J].Journal of Geodesy and Geodynamics,2012,32(4):120-124.)
[12]李玉平,郭际明,周丹,等.EGM2008求解高程异常在新疆地区的精度分析[J].大地测量与地球动力学,2017,37(6):638-643.(LI Yuping,GUO Jiming,ZHOU Dan,et al.Precision analysis of EGM2008sloving height anomaly in XinJiang area[J].Journal of Geodesy and Geodynamics,2017,37(6):638-643.)
[13]杨翼飞,唐增长.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 Zengzhang.The Guangxi quasi-geoid optimization research based on EGM2008[J].Bulletin of Surveying and Mapping,2014(1):50-53.)
[14]张兴福,刘成.综合EGM2008模型和SRTM/DTM2006.0剩余地形模型的GPS高程转换方法[J].测绘学报,2012,41(1):25-32.(ZHANG Xingfu,LIU Cheng.The Approach of GPS height transformation based on EGM2008and SRTM/DTM2006.0residual terrain model[J].Acta Geodaetica et Cartographica Sinica,2012,41(1):25-32.)
[15]谷延超,范东明.顾及EGM2008和残差地形模型的GPS高程转换方法研究[J].测绘工程,2013,22(2):26-29.(GU Yanchao,FAN Dongming.Study on GPS height transformation by combining EGM2008 and residual terrain model[J].Engineering of Surveying and Mapping,2013,22(2):26-29.)
[16]万谋知.顾及EGM 2008重力场模型的移去-恢复技术GPS高程拟合[J].地理空间信息,2014,12(5):114-115,118,11.(WAN Mouzhi.GPS height fitting based on remove-restore method considering the EGM2008earth gravity field[J].Geospatial Information,2014,12(5):114-115,118,11.)
[17]张兴福,沈云中,楼立志.EIGEN-CG01C用于GPS高程转换的精度分析[J].大地测量学与测量工程,2005,25(4):74-78.(ZHANG Xingfu,SHEN Yunzhong,LOU Lizhi.Accuracy analysis of GPS height transformation with EIGEN-CG01Cmodel[J].Journal of Geodesy and Geodynamics,2005,25(4):74-78.)
[18]范宏涛.利用重力场模型对中国陆地和岛礁GNSS水准沉降进行分析[J].测绘与空间地理信息,2015,38(1):84-87,90.(FAN Hongtao.Using agravity model to analyze the Chinese land and islands of GNSS leveling settlement[J].Geomatics&Spatial Information Technology,2015,38(1):84-87,90.)
[19]张幸福,刘成,刘红新.利用GPS/水准数据检核EGM2008重力场模型的精度[J].测绘通报,2009(2):7-9.(ZHANG Xingfu,LIU Cheng,LIU Hongxin.Accuracy validation of EGM2008 model using GPS/leveling data[J].Bulletin of Surveying and Mapping,2009(2):7-9)
[20]程怀远.顾及EGM2008重力场模型的GPS高程拟合研究[J].全球定位系统,2014,39(1):82-84.(CHEN Huaiyuan.Study on GPS height transformation by combining EGM 2008[J].GNSS Word of China,2014,39(1):82-84.)