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利用GOCE卫星观测数据确定全球静态重力场是当前大地测量学的研究热点. 本文联合2011-02-28至2012-03-05共12个月的GOCE卫星轨道和梯度数据采用直接法恢复了210阶次的重力场模型SWJTU-GO01S，利用零相位的有限脉冲带通数字滤波器对GOCE梯度数据进行滤波处理，直接在梯度仪坐标系中建立梯度观测方程，避免了坐标转换过程中高精度梯度观测分量精度的损失；采用短弧积分法处理轨道数据，并利用方差分量估计确定联合解的最优权，Kuala正则化方法用于处理数据极空白问题. 基于EGM2008模型和北美地区的GPS水准观测数据，对SWJTU-GO01S模型进行内外符合精度分析，结果表明：SWJTU-GO01S模型在210阶次的大地水准面误差和累计误差分别为2.1 cm和13.7 cm，整体上优于欧空局公布的第二代时域法和空域法模型的精度，在150阶以后优于ITG-GRACE2010S的精度；本文的研究为进一步联合多类卫星观测数据恢复重力场模型提供参考.Global static gravitational field determined by GOCE satellite data has become a hotspot in current research of geodesy. In this paper, a global static gravity field model entitled SWJTU-GO01S up to the degree and order 210 is recovered based on 12 months of GOCE orbit and gradient data from 2011-02-28 to 2012-03-05 with direct approach. GOCE gradient data are filtered by the zero phase finite impulse band-pass digital filter, and then a gradient observation equation is founded directly in gradiometer coordinates, which avoids high-accuracy gradient component loss in accuracy in the conversion process, while the orbit data is processed with short-arc integral approach. The optimal weight of combination result based on SST and SGG data is determined by variance component estimation and the polar gaps is dealt with the Kuala regularization method. Comparison of internal and external precision of SWJTU-GO01S with EGM2008 and with GPS leveling data of North America, shows that the geoid error and cumulative error of the SWJTU-GO01S model with the degree and order 210 are 2.1 cm and 13.7 cm respectively. Compared with the second generation models released by ESA and ITG-GRACE2010S, the accuracy of the model SWJTU-GO01S is higher than that of the model ITG-GRACE2010S and ESA official time-wise and space-wise model in the above degree and order 150. This study provides a reference to further joint multi-class satellite observation data to recover gravity field models.
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Keywords:
- gravity field and steady-state ocean circulation explorer satellite /
- gravity field model /
- variance component estimation /
- regularization
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[17] Bruinsma S L, Förste C, Abrikosov O, Marty J C, Rio M H, Mulet S, Bonvalot S 2013 Geophys. Res. Lett. 40 3607
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[19] Farahani H H, Ditmar P, Klees R, Liu X, Zhao Q, Guo J 2013 J. Geod. 87 843
[20] Yi W 2012 Adv. Space Res. 50 371
[21] Pail R, Goiginger H, Schuh W D, Höck E, Brockmann J M, Fecher T, Gruber T, Mayer-Grr T, Kusche J, Jäggi A, Rieser D 2010 Geophys. Res. Lett. 37 L 20314
[22] Yi W 2011 Ph. D. Dissertation (Mnchen: Technische Universität Mnchen)
[23] You W 2011 Ph. D. Dissertation (Chengdu: Southwest Jiaotong University) (in Chinese) [游为 2011 博士学位论文(成都: 西南交通大学)]
[24] Baur O, Reubelt T, Weigelt M, Roth M, Sneeuw N 2012 Adv. Space Res. 50 385
[25] Mayer-Grr T 2006 Ph. D. Dissertation (Bonn: Institut fr Theoretische Geodäsie der Universität Bonn)
[26] EGG-C https://earth. esa. int/web/guest/missions/esa-operational-eo-missions/goce [2013-11-12]
[27] Petrovskaya M S, Vershkov A N 2006 J. Geod. 80 117
[28] Fuchs M J, Bouman J 2011 Geophys. J. Int. 187 743
[29] Kusche J 2003 Advances in Geosciences 1 81
[30] Zhong B 2010 Ph. D. Dissertation (Wuhan: Wuhan University) (in Chinese) [钟波 2010 博士学位论文(武汉: 武汉大学)]
[31] Koch K R, Brockmann J M, Schuh W D 2012 J. Geod. 86 647
[32] Tsoulis D, Patlakis K 2013 Rev. Geophys. 51 186
[33] Tsoulis D, Patlakis K 2013 Surv. Geophys. 34 375
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[1] Drinkwater M R, Floberghagen R, Haagmans R, Muzi D, Popescu A 2003 Earth Gravity Field from Space-from Sensors to Earth Sciences (Berlin: Springer Netherlands) p419
[2] Garcia R F, Bruinsma S, Lognonné P, Doornbos E, Cachoux F 2013 Geophys. Res. Lett. 40 1
[3] Pail R, Bruinsma S, Migliaccio F, Förste C, Goiginger H, Schuh W D, Höck E, Reguzzoni M, Brockmann J M, Abrikosov O, Veicherts M, Fecher T, Mayrhofer R, Krasbutter I, Sansò F, Tscherning C C 2011 J. Geod. 85 819
[4] Haines K, Johannessen A J, Knudsen P, Lea D, Rio M H, Bertino L, Davidson F, Hernandez F 2011 Ocean Sci. 7 151
[5] Bingham R J, Knudsen P, Andersen O, Pail R 2011 Geophys. Res. Lett. 38 L01606
[6] Zheng W, Xu H Z, Zhong M, Liu C S, Yun M J 2013 Chin. Phys. B 22 049101
[7] Zheng W, Xu H Z, Zhong M, Liu C S, Yun M J 2012 Chin. Phys. B 21 109101
[8] Bruinsma S L, Marty J C, Balmino G, Biancale R, Foerste C, Abrikosov O, Neumayer H 2010 Proceedings of the ESA Living Planet Symposium Bergen, Norway, June 27-July 2, 2010 p1
[9] Pail R, Goiginger H, Mayrhofer R, Schuh W D, Brockmann J M, Krasbutter I, Höck E, Fecher T 2010 Proceedings of the ESA Living Planet Symposium Bergen, Norway, June 27-July 2, 2010 p978
[10] Migliaccio F M, Reguzzoni M, Sanso F, Tscherning C C, Veicherts M 2010 Proceedings of the ESA Living Planet Symposium Bergen, Norway, June 27-July 2, 2010 p987
[11] Kern M, Preimesberger T, Allesch M, Pail R, Bouman J, Koop R 2005 J. Geod. 78 509
[12] Wan X Y, Yu J H, Zeng Y Y 2012 Chinese J. Geophys. 55 2909 (in Chinese)[万晓云, 于锦海, 曾艳艳 2012 地球 55 2909]
[13] Kusche J, Klees R 2002 J. Geod. 76 359
[14] Ditmar P, Kusche J, Klees R 2003 J. Geod. 77 465
[15] Koch K R, Kusche J 2002 J. Geod. 76 259
[16] Ditmar P, Visser P, Klees R 2003 Advances in Geosciences 1 87
[17] Bruinsma S L, Förste C, Abrikosov O, Marty J C, Rio M H, Mulet S, Bonvalot S 2013 Geophys. Res. Lett. 40 3607
[18] Yu J H, Wan X Y 2012 Sci. China Earth Sci. 56 1193
[19] Farahani H H, Ditmar P, Klees R, Liu X, Zhao Q, Guo J 2013 J. Geod. 87 843
[20] Yi W 2012 Adv. Space Res. 50 371
[21] Pail R, Goiginger H, Schuh W D, Höck E, Brockmann J M, Fecher T, Gruber T, Mayer-Grr T, Kusche J, Jäggi A, Rieser D 2010 Geophys. Res. Lett. 37 L 20314
[22] Yi W 2011 Ph. D. Dissertation (Mnchen: Technische Universität Mnchen)
[23] You W 2011 Ph. D. Dissertation (Chengdu: Southwest Jiaotong University) (in Chinese) [游为 2011 博士学位论文(成都: 西南交通大学)]
[24] Baur O, Reubelt T, Weigelt M, Roth M, Sneeuw N 2012 Adv. Space Res. 50 385
[25] Mayer-Grr T 2006 Ph. D. Dissertation (Bonn: Institut fr Theoretische Geodäsie der Universität Bonn)
[26] EGG-C https://earth. esa. int/web/guest/missions/esa-operational-eo-missions/goce [2013-11-12]
[27] Petrovskaya M S, Vershkov A N 2006 J. Geod. 80 117
[28] Fuchs M J, Bouman J 2011 Geophys. J. Int. 187 743
[29] Kusche J 2003 Advances in Geosciences 1 81
[30] Zhong B 2010 Ph. D. Dissertation (Wuhan: Wuhan University) (in Chinese) [钟波 2010 博士学位论文(武汉: 武汉大学)]
[31] Koch K R, Brockmann J M, Schuh W D 2012 J. Geod. 86 647
[32] Tsoulis D, Patlakis K 2013 Rev. Geophys. 51 186
[33] Tsoulis D, Patlakis K 2013 Surv. Geophys. 34 375
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