利用重力等位面特性进行地球重力场模型评价
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摘要
提出了一种基于大地水准面等位面特性的地球重力场模型优劣评价方法。通过取任一重力大地水准面为参考面,计算不同地球重力场模型在该面上的重力位标准差,以此作为不同模型相对优劣的评价指标。利用该方法对不同地球重力场模型以及同一重力场模型在不同区域的精度进行了评价。结果表明:EGM96、OSU91A模型的大地水准面高精度分别为±11.1cm、±14.3cm,说明EGM96要优于OSU91A,EGM2008、EIGEN-6C4模型的大地水准面高精度分别为±8.8cm、±8.9cm,说明该两个模型的精度相当,与已有研究结果一致,表明本文方法的有效性与适用性。进一步研究结果显示,对于全球大地水准面,EGM2008和EIGEN-6C4模型的大地水准面高精度分别为±11.3cm和±14.1cm,即在厘米级精度上EGM2008略优。
This paper proposes an evaluation approach for an earth gravitational model(EGM),which is based on the equigeopotential surface character of the geoid.We select a gravity geoid as reference surface,calculated the gravity potentials of different EGMs on the reference surface,to build an index of gravity potential standard deviation to evaluate EGMs.We evaluated the theoretical ability for compliance of different EGMs and the same EGM applied in different areas of the earth using the approach.The results show that the geoid precisions of EGM96 and OSU91 Aare respectively±11.1 cm and±14.3 cm,meaning that the precision of EGM96 is better than that of OSU91 A,while the EGM2008,EIGEN-6 C4 are similar in precision.These are consistent with the existing research conclusions.But,the result further suggests that the precision of EGM2008 is slightly better than that of EIGEN-6 C4 at the cm level.
This paper proposes an evaluation approach for an earth gravitational model(EGM),which is based on the equigeopotential surface character of the geoid.We select a gravity geoid as reference surface,calculated the gravity potentials of different EGMs on the reference surface,to build an index of gravity potential standard deviation to evaluate EGMs.We evaluated the theoretical ability for compliance of different EGMs and the same EGM applied in different areas of the earth using the approach.The results show that the geoid precisions of EGM96 and OSU91 Aare respectively±11.1 cm and±14.3 cm,meaning that the precision of EGM96 is better than that of OSU91 A,while the EGM2008,EIGEN-6 C4 are similar in precision.These are consistent with the existing research conclusions.But,the result further suggests that the precision of EGM2008 is slightly better than that of EIGEN-6 C4 at the cm level.
引文
[1]Zhang Jingming,Yan Jianqiang,Wang Fumin.Accuracy Analysis and Evaluation of EGM2008Earth Gravity Field Model[J].Oil Geophysical Prospecting,2010,45(Supplement 1):230-233(张精明,闫建强,王福民.地球重力场模型精度分析与评价[J].石油地球物理物探,2010,45(增刊):230-233)
[2]Qiu Bin,Zhu Jianjun,Le Kejun.Evaluation and Optimal Selection of High-order Earth’s Gravity Field Models[J].Science of Surveying and Mapping,2008,33(5):25-27(邱斌,朱建军,乐科军.高阶地球重力场模型的评价及其优选[J].测绘科学,2008,33(5):25-27)
[3]Liu Xiaogang,Wu Xiaoping,Zhao Dongming,et al.Precision Comparison and Analysis of DQM2000d,UGM2005and EGM2008[C].The 25th Annual Meeting of Chinese Geophysical Society,2009(刘晓刚,吴晓平,赵东明,等.DQM2000d、UGM2005、EQM2008地球重力场模型精度的比较和分析[C].中国地球物理学会第二十五届年会,合肥,中国,2009)
[4]Zhao Qile,Guo Jing,Liu Xianglin,et al.Gravity Field Modeling on the Basis of Satellite Accelerations Directly Derived from Onboard GPS Measurements[J].Geomatics and Information Science of Wuhan University,2009,34(10):1 168-1 171(赵齐乐,郭靖,柳响林,等.利用星载GPS历元差分计算的平均加速度反演地球重力场[J].武汉大学学报·信息科学版,2009,34(10):1 168-1 171)
[5]Huang Qiang,Fan Dongming,You Wei.Recovering Earth’s Gravitational Field Model Using GOCE Orbits and Gravity Gradients[J].Geomatics and Information Science of Wuhan University,2014,39(12):1 482-1 486(黄强,范东明,游为.联合GOCE轨道和梯度数据反演地球重力场模型[J].武汉大学学报·信息科学版,2014,39(12):1 482-1 486)
[6]Rong Min,Zhou Wei,Chen Chunwang.Evaluation of Gravity Field Models EGM2008and EGM96Applied in Chinese Area[J].Journal of Geodesy and Geodynamis,2009,29(6):123-125(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)
[7]Rapp R H.The Geoid:Definition and Determation[J].Eos Transactions American Geophysical Union,1974,55(3):118-126
[8]Fischer I.Does Mean Sea Level Slope Upor Down toward North?[J].Bulletin Geod,1975(115):17-26
[9]Shen W B,Chao D B,Jin B R.On Relativistic Geoid[J].Bollettino di Geodesiae Scienze Affini,1993(52):207-216
[10]Shen Wenbin,Ning Jinsheng,Li Jiancheng,et al.On Geoid[J].Geomatics and Information Science of Wuhan University,2003,26(6):683-687(申文斌,宁津生,李建成,等.论大地水准面[J].武汉大学学报·信息科学版,2003,26(6):683-687)
[11]Chao Dingbo,Shen Wenbin,Wang Zhengtao.Investigations of the Possibility and Method of Determining Global Centimeter-level Geoid[J].Acta Geodaetica et Cartographica Sinica,2007,36(4):370-376(晁定波,申文斌,王正涛.确定全球厘米级精度大地水准面的可能性和方法探讨[J].测绘学报,2007,36(4):370-376)
[12]Pavlis N K,Holmes S A,Kenyon S C,et al.The Development and Evaluation of the Earth Gravitational Model 2008(EGM2008)[J].Journal of Geophysical Research,2012,117(B4):1-38
[13]Bomfim E P,Braitenberg C,Molina E C.Mutual Evaluation of Global Gravity Models(EGM2008and GOCE)and Terrestrial Data in Amazon Basin,Brazil[J].Geophysical Journal International,2013,195(2):870-882
[14]Pavlis N K,Holmes S A.A Preliminary Gravitational Model to Degree 2 160[M].Berlin,Heidelberg:Springer-Verlay,2005
[15]Tsoulis D,Patlakis K.A Spectral Assessment Review of Current Satellite-Only and Combined Earth Gravity Models[J].Reviews of Geophysics,2013,51(2):186-243
[16]Yi W,Rummel R.A Comparison of GOCE Gravitational Models with EGM2008[J].Journal of Geodynamics,2014,73(1):14-22
[2]Qiu Bin,Zhu Jianjun,Le Kejun.Evaluation and Optimal Selection of High-order Earth’s Gravity Field Models[J].Science of Surveying and Mapping,2008,33(5):25-27(邱斌,朱建军,乐科军.高阶地球重力场模型的评价及其优选[J].测绘科学,2008,33(5):25-27)
[3]Liu Xiaogang,Wu Xiaoping,Zhao Dongming,et al.Precision Comparison and Analysis of DQM2000d,UGM2005and EGM2008[C].The 25th Annual Meeting of Chinese Geophysical Society,2009(刘晓刚,吴晓平,赵东明,等.DQM2000d、UGM2005、EQM2008地球重力场模型精度的比较和分析[C].中国地球物理学会第二十五届年会,合肥,中国,2009)
[4]Zhao Qile,Guo Jing,Liu Xianglin,et al.Gravity Field Modeling on the Basis of Satellite Accelerations Directly Derived from Onboard GPS Measurements[J].Geomatics and Information Science of Wuhan University,2009,34(10):1 168-1 171(赵齐乐,郭靖,柳响林,等.利用星载GPS历元差分计算的平均加速度反演地球重力场[J].武汉大学学报·信息科学版,2009,34(10):1 168-1 171)
[5]Huang Qiang,Fan Dongming,You Wei.Recovering Earth’s Gravitational Field Model Using GOCE Orbits and Gravity Gradients[J].Geomatics and Information Science of Wuhan University,2014,39(12):1 482-1 486(黄强,范东明,游为.联合GOCE轨道和梯度数据反演地球重力场模型[J].武汉大学学报·信息科学版,2014,39(12):1 482-1 486)
[6]Rong Min,Zhou Wei,Chen Chunwang.Evaluation of Gravity Field Models EGM2008and EGM96Applied in Chinese Area[J].Journal of Geodesy and Geodynamis,2009,29(6):123-125(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)
[7]Rapp R H.The Geoid:Definition and Determation[J].Eos Transactions American Geophysical Union,1974,55(3):118-126
[8]Fischer I.Does Mean Sea Level Slope Upor Down toward North?[J].Bulletin Geod,1975(115):17-26
[9]Shen W B,Chao D B,Jin B R.On Relativistic Geoid[J].Bollettino di Geodesiae Scienze Affini,1993(52):207-216
[10]Shen Wenbin,Ning Jinsheng,Li Jiancheng,et al.On Geoid[J].Geomatics and Information Science of Wuhan University,2003,26(6):683-687(申文斌,宁津生,李建成,等.论大地水准面[J].武汉大学学报·信息科学版,2003,26(6):683-687)
[11]Chao Dingbo,Shen Wenbin,Wang Zhengtao.Investigations of the Possibility and Method of Determining Global Centimeter-level Geoid[J].Acta Geodaetica et Cartographica Sinica,2007,36(4):370-376(晁定波,申文斌,王正涛.确定全球厘米级精度大地水准面的可能性和方法探讨[J].测绘学报,2007,36(4):370-376)
[12]Pavlis N K,Holmes S A,Kenyon S C,et al.The Development and Evaluation of the Earth Gravitational Model 2008(EGM2008)[J].Journal of Geophysical Research,2012,117(B4):1-38
[13]Bomfim E P,Braitenberg C,Molina E C.Mutual Evaluation of Global Gravity Models(EGM2008and GOCE)and Terrestrial Data in Amazon Basin,Brazil[J].Geophysical Journal International,2013,195(2):870-882
[14]Pavlis N K,Holmes S A.A Preliminary Gravitational Model to Degree 2 160[M].Berlin,Heidelberg:Springer-Verlay,2005
[15]Tsoulis D,Patlakis K.A Spectral Assessment Review of Current Satellite-Only and Combined Earth Gravity Models[J].Reviews of Geophysics,2013,51(2):186-243
[16]Yi W,Rummel R.A Comparison of GOCE Gravitational Models with EGM2008[J].Journal of Geodynamics,2014,73(1):14-22
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