The mean geopotential value of the global mean sea surface, 62 636 856.550 7 m2s-2, is determined based on the global gravity model(EIGEN-6C4、EGM2008) and global mean sea surface height model(DNSC08、DTU10、DTU13).The geoidal potential (62 636 858.179 0 m2s-2) can be obtained by subtracting the mean sea surface topography from the mean sea surface height. Then, 649 GPS/leveling data,distributed evenly over the mainland of China,are selected to calculate the 1985 national height datum geopotential and the vertical shift using three methods, combined with the global gravity model EGM2008. The vertical shift value is improved by weighting, and utilizing two methods to verify the rationality and correctness after weighting. The final results demonstrate that the 1985 national height datum is 0.298 0 and 0.464 2 m above the mean sea level and the global geoid, respectively.
[1] HIPKIN R. Defining the Geoid by W=W0≡U0:Theory and Practice of a Modern Height System[C]//TZIAVOS I N. Proceedings of the 3rd Meeting of the International Gravity and Geoid Commission. Thessaloniki:[s.n.], 2003:367-377.
[2] RUMMEL R, TEUNISSEN P. Height Datum Definition, Height Datum Connection and the Role of the Geodetic Boundary Value Problem[J]. Bulletin Géodésique, 1988, 62(4):477-498.
[3] HECK B, RUMMEL R. Strategies for Solving the Vertical Datum Problem Using Terrestrial and Satellite Geodetic Data[M]//SüNKEL H, BAKER T. Sea Surface Topography and the Geoid. New York:Springer, 1990:116-128.
[4] ANDERSEN O B, KNUDSEN P. DNSC08 Mean Sea Surface and Mean Dynamic Topography Models[J]. Journal of Geophysical Research:Oceans, 2009, 114(C11):C11001.
[5] ANDERSEN O, KNUDSEN P, STENSENG L. The DTU13 MSS (Mean Sea Surface) and MDT (Mean Dynamic Topography) from 20 Years of Satellite Altimetry[M]//RIZOS C. International Association of Geodesy Symposia. Berlin:Springer, 2015:1-10.
[6] 金涛勇, 李建成, 姜卫平, 等. 基于多源卫星测高数据的新一代全球平均海面高模型[J]. 测绘学报, 2011, 40(6):723-729. JIN Taoyong, LI Jiancheng, JIANG Weiping, et al. The New Generation of Global Mean Sea Surface Height Model Based on Multi-altimetric Data[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(6):723-729.
[7] 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:Solid Earth, 2012, 117(B4):B04202.
[8] ARDALAN A, GRAFAREND E, KAKKURI J. National Height Datum, the Gauss:Listing Geoid Level Value w0 and Its Time Variation w0 (Baltic Sea Level Project:Epochs 1990.8, 1993.8, 1997.4)[J]. Journal of Geodesy, 2002, 76(1):1-28.
[9] ČUNDERLÍK R, TENZER R, MIKULA K. Realization of WHS Based on Gravity Field Models Free of Dependencies on Local Vertical Datums[M]//RIZOS C, WILLIS P. Earth on the Edge:Science for a Sustainable Planet. Berlin:Springer, 2014, 139:551-559.
[10] ČUNDERLÍK R, MINARECHOVÁ Z, MIKULA K. Realization of WHS Based on the Static Gravity Field Observed by GOCE[M]//MARTI U. Gravity, Geoid and Height Systems. Switzerland:Springer International Publishing, 2014:211-220.
[11] 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. 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.
[12] GRIGORIADIS V N, KOTSAKIS C, TZIAVOS I N, et al. Estimation of the Reference Geopotential Value for the Local Vertical Datum of Continental Greece Using EGM08 and GPS/Leveling Data[M]//MARTI U. Gravity, Geoid and Height Systems. Switzerland:Springer International Publishing, 2014:249-255.
[13] KOTSAKIS C, KATSAMBALOS K, AMPATZIDIS D. Estimation of the Zero-height Geopotential Level WoLVD in a Local Vertical Datum from Inversion of Co-Located GPS, Leveling and Geoid Heights:A Case Study in the Hellenic Islands[J]. Journal of Geodesy, 2012, 86(6):423-439.
[14] TENZER R, VATRT V, ABDALLA A, et al. Assessment of the LVD Offsets for the Normal-Orthometric Heights and Different Permanent Tide Systems-a Case Study of New Zealand[J]. Applied Geomatics, 2011, 3(1):1-8.
[15] 焦文海, 魏子卿, 马欣, 等. 1985国家高程基准相对于大地水准面的垂直偏差[J]. 测绘学报, 2002, 31(3):196-200. JIAO Wenhai, WEI Ziqing, MA Xin, et al. The Origin Vertical Shift of National Height Datum 1985 with Respect to the Geoidal Surface[J]. Acta Geodaetica et Cartographica Sinica, 2002, 31(3):196-200.
[16] 郭海荣, 焦文海, 杨元喜. 1985国家高程基准与全球似大地水准面之间的系统差及其分布规律[J]. 测绘学报, 2004, 33(2):100-104. GUO Hairong, JIAO Wenhai, YANG Yuanxi. The Systematic Difference and Its Distribution between the 1985 National Height Datum and the Global Quasigeoid[J]. Acta Geodaetica et Cartographica Sinica, 2004, 33(2):100-104.
[17] 海斯卡涅W A, 莫里兹H. 物理大地测量学[M]. 卢福康, 胡国理, 译. 北京:测绘出版社, 1979:74-78. HEISKANEN W A, MORITZ H. Physical Geodesy[M]. LU Fukang, HU Guoli, Trans. Beijing:Surveying and Mapping Press, 1979:74-78.
[18] BURŠA M, KOUBA J, KUMAR M, et al. Geoidal Geopotential and World Height System[J]. Studia Geophysica et Geodaetica, 1999, 43(4):327-337.
[19] BURŠA M, KOUBA J, MVLLER A, et al. Determination of Geopotential Differences between Local Vertical Datums and Realization of a World Height System[J]. Studia Geophysica et Geodaetica, 2001, 45(2):127-132.
[20] BURŠA M, KENYON S, KOUBA J, et al. The Geopotential Value W0 for Specifying the Relativistic Atomic Time Scale and a Global Vertical Reference System[J]. Journal of Geodesy, 2007, 81(2):103-110.
[21] 翟振和, 魏子卿, 吴富梅, 等. 利用EGM2008位模型计算中国高程基准与大地水准面间的垂直偏差[J]. 大地测量与地球动力学, 2011, 31(4):116-118. ZHAI Zhenhe, WEI Ziqing, WU Fumei, et al. Computation of Vertical Deviation of Chinese Height Datum from Geoid by Using EGM2008 Model[J]. Journal of Geodesy and Geodynamics, 2011, 31(4):116-118.