The 3D Gravity Vectors Method in China Land and Ocean Quasi-geoid Determination

doi:10.11947/j.AGCS.2018.20170076

Abstract

Abstract: The horizontal component of earth gravity field-vertical deflection is very sensitive to the information of terrain. Firstly, using 3D gravity vectors-grid vertical deflections which are calculated by gravity and terrain data by solving physical geodetic boundary value problems (GBVP), grid gravity anomaly and grid terrain data to calculate the differences of height anomaly, then, with the control of GPS/leveling points to form rigorous geometric conditions, after that, the grid height anomaly is calculated by L-S adjustment method. Finally, a quasi-geoid model with a high precision and resolution is achieved. Based on the method presented, a national quasi-geoid model is built which includes land and ocean by using more than 6600 GPS/leveling points data, 1'×1' grid vertical deflections, grid gravity anomaly and grid terrain data. Compared with the GPS/leveling points, the absolute precision of our national quasi-geoid is about 4 cm, while the relative precision is better than 7 cm.

Key words: 3D gravity vectors, vertical deflections, differences of height anomaly, LS adjustment, quasi-geoid model

CLC Number:

P223

XING Zhibin, LI Shanshan. The 3D Gravity Vectors Method in China Land and Ocean Quasi-geoid Determination[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(5): 575-583.

References

[1] 蒋光伟, 郭春喜, 田晓静, 等. 基于多种方法构建似大地水准面模型推估特性分析[J]. 地球物理学进展, 2014, 29(1):51-56. DOI:10.6038/pg20140107. JIANG Guangwei, GUO Chunxi, TIAN Xiaojing, et al. The Analysis of Extrapolated Capability of Quasi-geoid Based on Muti-methods[J]. Progress in Geophysics, 2014, 29(1):51-56. DOI:10.6038/pg20140107.
[2] HOFMANN-WELLENHOF B, MORITZ H. Physical Geodesy[M]. New York:SpringerWienNewYork, 2005.
[3] KAVZOGLU T, SALA M H. Modelling Local GPS/Levelling Geoid Undulations Using Artificial Neural Networks[J]. Journal of Geodesy, 2005, 78(9):520-527.
[4] 李建成, 陈俊勇, 宁津生, 等. 地球重力场逼近理论与中国2000似大地水准面的确定[M]. 武汉:武汉大学出版社, 2003. LI Jiancheng, CHEN Junyong, NING Jinsheng, et al. The Theory of Earth's Gravity Field Approximation and Determination of the China Quasi-geoid 2000[M]. Wuhan:Wuhan University Press, 2003.
[5] SANSÒ F, RUMMEL R. Geodetic Boundary Value Problems in View of the One Centimeter Geoid[M]. Berlin:Springer, 1997.
[6] GERLACH C, RUMMEL R. Global Height System Unification with GOCE:a Simulation Study on the Indirect Bias Term in the GBVP Approach[J]. Journal of Geodesy, 2013, 87(1):57-67.
[7] JIANG Ziheng, DUQUENNE H. On the Combined Adjustment of a Gravimetrically Determined Geoid and GPS Levelling Stations[J]. Journal of Geodesy, 1996, 70(8):505-514.
[8] KOTSAKIS C, SIDERIS M G. On the Adjustment of Combined GPS/Levelling/Geoid Networks[J]. Journal of Geodesy, 1999, 73(8):412-421.
[9] SMITH D A, ROMAN D R. GEOID99 and G99SSS:1-Arc-Minute Geoid Models for the United States[J]. Journal of Geodesy, 2001, 75(9-10):469-490.
[10] ROMAN D R, WANG Yanming, HENNING W, et al. Assessment of the New National Geoid Height Model,GEOID03[J]. Surveying and Land Information Science:Journal of the American Congress on Surveying and Mapping, 2004, 64(3):153-162.
[11] WANG Y M, SALEH J, LI X, et al. The US Gravimetric Geoid of 2009(USGG2009):Model Development and Evaluation[J]. Journal of Geodesy, 2012, 86(3):165-180.
[12] DENKER H. The European Gravimetric Quasigeoid EGG2008[C]//American Geophysical Union, Spring Meeting 2009. New York:AGU, 2009.
[13] ODERA P A, FUKUDA Y, KUROISHI Y. A High-resolution Gravimetric Geoid Model for Japan from EGM2008 and Local Gravity Data[J]. Earth, Planets and Space, 2012, 64(5):361-368.
[14] HUANG Jianliang, VÉRONNEAU M. Canadian Gravimetric Geoid Model 2010[J]. Journal of Geodesy, 2013, 87(8):771-790.
[15] http://www.nrcan.gc.ca/earth-sciences/geomatics/geodetic-reference-systems/9054.
[16] 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, 669. LI Jiancheng. The Recent Chinese Terrestrial Digital Height Datum Model:Gravimetric Quasi-geoid CNGG2011[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(5):651-660, 669.
[17] 束蝉方, 李斐, 李明峰, 等. 应用Bjerhammar方法确定GPS重力似大地水准面[J]. 地球物理学报, 2011, 54(10):2503-2509. SHU Chanfang, LI Fei, LI Mingfeng, et al. Determination of GPS/gravity Quasi-geoid Using the Bjerhammar Method[J]. Chinese Journal of Geophysics, 2011, 54(10):2503-2509.
[18] 朱雷鸣. 基于相对高程异常差平差法的区域似大地水准面精化[D]. 郑州:信息工程大学, 2011. ZHU Leiming. Refining of Quasi-geoid Based on the Relative Height Anomaly Difference Adjustment[D]. Zhengzhou:Information Engineering University, 2011.
[19] 孙文. 我国高分辨率三维重力场与似大地水准面研究[D]. 郑州:信息工程大学, 2014. SUN Wen. Determination of High Resolution of 3D Gravity Field and Quasi-Geoid of China[D]. Zhengzhou:Information Engineering University, 2014.
[20] 邢志斌, 李姗姗, 王伟, 等. 利用垂线偏差计算高程异常差法方程的快速构建方法[J]. 武汉大学学报(信息科学版), 2016, 41(6):778-783. XING Zhibin, LI Shanshan, WANG Wei, et al. Fast Approach to Constructing Normal Equation during the Time of Calculating Height Anomaly Difference by Using Vertical Deflections[J]. Geomatics and Information Science of Wuhan University, 2016, 41(6):778-783.
[21] 吴晓平. 似大地水准面的定义及在空中测量中涉及的问题[J]. 测绘科学, 2006, 31(6):24-25. WU Xiaoping. Title Definition of Quasi-geoid and Some Questions Encountered in Airborne Gravimetry[J]. Science of Surveying and Mapping, 2006, 31(6):24-25.
[22] 宁津生, 郭春喜, 王斌, 等. 我国陆地垂线偏差精化计算[J]. 武汉大学学报(信息科学版), 2006, 31(12):1035-1038. NING Jinsheng, GUO Chunxi, WANG Bin, et al. Refined Determination of Vertical Deflection in China Mainland Area[J]. Geomatics and Information Science of Wuhan University, 2006, 31(12):1035-1038.
[23] 范昊鹏, 李姗姗. 局部区域模型重力异常快速算法研究[J]. 大地测量与地球动力学, 2013, 33(6):28-30, 35. FAN Haopeng, LI Shanshan. Study on a Fast Algorithm for Model Gravity Anomalies in Local Areas[J]. Journal of Geodesy and Geodynamics, 2013, 33(6):28-30, 35.
[24] 李姗姗, 吴晓平, 张传定, 等. 顾及地形与完全球面布格异常梯度项改正的区域似大地水准面精化[J]. 测绘学报, 2012, 41(4):510-516. LI Shanshan, WU Xiaoping, ZHANG Chuanding, et al. Regional Quasi-geoid Refining Considering Corrections of Terrain and Complete Spherical Bouguer Anomaly's Gradient Term[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(4):510-516.
[25] 边少锋, 薛芳侠. 论地形垂线偏差中央区贡献的计算[J]. 测绘学报, 1997, 26(1):33-36, 57. BIAN Shaofeng, XUE Fangxia. Discussion on the Calculation of Plumb Line Deviation[J]. Acta Geodaetica et Cartographica Sinica, 1997, 26(1):33-36, 57.