GOCE卫星任务搭载了高灵敏度的重力梯度仪,其观测值用于恢复高精度高分辨率的地球重力场。本文利用EIGEN-5C、EGM2008、GOTIM3、GGM03S高精度全球重力场模型,确定了GOCE引力梯度张量的对角分量观测值(Vxx、Vyy、Vzz)的校准参数,分析了比例因子的稳定性,并讨论了相同模型不同阶次、同阶次不同模型以及是否估计漂移参数对比例因子、偏差参数及校准观测值的影响。研究表明比例因子的稳定性在10-4的量级,利用250阶的EIGEN-5C模型和EGM2008模型校准得到观测值的差异小于10-4E,远远小于观测误差,以1d为周期估计校准参数时,是否估计漂移对校准结果的影响达到0.4E。同时,校准前后观测值差异的频谱说明校准过程主要影响Vxx、Vyy、Vzz观测值的低频部分,即来自先验重力场模型的中低(<150)阶次,考虑到GOCE引力梯度的观测频带,校准后的观测值可用于恢复中高频的重力场信号。
GOCE satellite carries a high-sensitivity gradiometer, whose observations are used for recovering high-precision and high-resolution earth gravity field. Based on EIGEN-5C, EGM2008, GGM03S and GOTIM3 global gravity field models, the calibration parameters of the diagonal components(Vxx, Vyy, Vzz) of GOCE gravitational gradient tensor(GGT) were obtained. We analyzed the stability of scale factors. The influences on the calibration parameters and the calibrated observations from different gravity field models, the same model with different maximum degree and order and whether estimating the drift parameters were discussed in detail.The results shows that the stability of scale factors are about 10-4 and calibrated observations are mainly determined by the low-degree signal of gravity field models. The differences of calibrated observations between EGM2008 and EIGEN-5C up to degree and order 250 are less than 10-4E, which is far less than the noise level of GOCE GGT. We also find that the effects of whether estimating the drift parameter on the calibrated observations could approach 0.4E when the calibration is carried out every day. At the same time, the PSD(power spectral density) of the observation difference before and after the calibration shows that the low-frequency part of observations Vxx, Vyy, Vzz are mainly calibrated from the low-medium degree part(<150) of the empirical gravity field models. Taking the measurement bandwidth of GOCE gradiometer into account, the calibrated observations could be used for recovering the middle-high frequency signal of gravity field.
[1] ESA.Gravity Field and Steady-state Ocean Circulation Mission[R]. Reports for Mission Selection of the Four Candidate Earth Explorer Core Missions.[S.l.]:ESA Publications Division, 1999.
[2] ESA RESEARCH FELLOW. GOCE Gradiometer Calibration and Level 1b Data Processing[R]. Noordwijk, The Netherlands. ESA Working Paper EWP-2384, 2011.
[3] BOUMAN J, RISPENS S, GRUBER T, et al. Preprocessing of Gravity Gradients at the GOCE High-level Processing Facility[J]. Journal of Geodesy, 2009, 83(7):659-678.
[4] BOUMAN J, KOOP R, TSCHERNING C C, et al. Calibration of GOCE SGG Data Using High-low SST, Terrestrial Gravity Data and Global Gravity Field Models[J]. Journal of Geodesy, 2004, 78(1-2):124-137.
[5] VISSER P N A M. GOCE Gradiometer Validation by GPS[J]. Advances in Space Research, 2007, 39(10):1630-1637.
[6] ARABELOS D, TSCHERNING C C. Calibration of Satellite Gradiometer Data Aided by Ground Gravity Data[J]. Journal of Geodesy, 1998, 72(11):617-625.
[7] ARABELOS D N, TSCHERNING C C, VEICHERTS M. External Calibration of GOCE SGG Data with Terrestrial Gravity Data:A Simulation Study[M]//TREGONING P, RIZOS C. Dynamic Planet. Berlin Heidelberg:Springer,2007:337-344.
[8] BOUMAN J, KOOP R, HAAGMANS R, et al. Calibration and Validation of GOCE Gravity Gradients[M]//SANSF. A Window on the Future of Geodesy. Berlin Heidelberg:Springer,2005:265-270.
[9] SIEMES C, HAAGMANS R, KERN M, et al. Monitoring GOCE Gradiometer Calibration Parameters Using Accelerometer and Star Sensor Data:Methodology and First Results[J]. Journal of Geodesy, 2012, 86(8):629-645.
[10] XU Tianhe, HE Kaifei. Outlier Snooping Based on the Test Statistic of Moving Windows and Its Applications in GOCE Data Preprocessing[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(5):391-396.(徐天河, 贺凯飞. 移动开窗检验法及其在GOCE数据粗差探测中的应用[J]. 测绘学报, 2009, 38(5):391-396.)
[11] LUO Zhicai, WU Yunlong, ZHONG Bo, et al. Pre-processing of the GOCE Satellite Gravity Gradiometry Data[J]. Geomatics and Information Science of Wuhan University, 2009, 34(10):1163-1167.(罗志才, 吴云龙, 钟波, 等. GOCE卫星重力梯度测量数据的预处理[J]. 武汉大学学报:信息科学版, 2009, 34(10):1163-1167.)
[12] WU Yunlong. Study on Pre-processing of GOCE Satellite Gravity Gradiometry Data[D]. Wuhan:School of Geodesy and Geomatics, Wuhan University, 2010.(吴云龙. GOCE卫星重力梯度测量数据的预处理研究[D]. 武汉:武汉大学测绘学院, 2010)
[13] WU Yunlong, LI Hui, LIU Ziwei, et al. External Calibration of Gravity Gradient Measurement Based on Global Gravity Models[J]. Journal of Geodesy and Geodynamics, 2010, 30(S2):10-13, 26.(吴云龙, 李辉, 刘子维, 等. 基于地球重力场模型的重力梯度测量数据外部校准[J]. 大地测量与地球动力学, 2010, 30(S2):10-13, 26.)
[14] BOUMAN J, FIOROT S, FUCHS M, et al. GOCE Gravitational Gradients along the Orbit[J]. Journal of Geodesy, 2011, 85(11):791-805.
[15] FÖRSTE C, FLECHTNER F, SCHMIDT R, et al. EIGEN-GL05C——A New Global Combined High-resolution GRACE-based Gravity Field Model of the GFZ-GRGS Cooperation[J/OL]. Geophysical Research Abstracts, 2008, 10:SRef-ID:1607-7962/gra/EGU2008-A-03426.
[16] 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):B04406.
[17] TAPLEY B, RIES J, BETTADPUR S, et al. The GGM03 Mean Earth Gravity Model from GRACE[C]//American Geophysical Union, Fall Meeting Abstracts, 2007, G42A-03.
[18] PAIL R, BRUINSMA S, MIGLIACCIO F, et al. First GOCE Gravity Field Models Derived by Three Different Approaches[J]. Journal of Geodesy, 2011, 85(11):819-843.
[19] MAYER-GüRR T, KURTENBACH E, EICKER A. ITG-Grace2010 Gravity Field Model[EB/OL].[2010-10-20]. http://www.igg.uni-bonn.de/apmg/index.php?id=itg-grace2010. SERCO/DATAMAT CONSORTIUM. GOCE L1BProductsUser Handbook[R]. Technical Note, GOCE PDGS Team, GOCE-GSEG-EOPG-TN-06-0137, 2008.
[20] EGG-C. GOCE Level 2 Product Data Handbook[R]. GOCE High Level Processing Facility, GO-MA-HPF-GS-0110, 2010.
[21] CESARE S. Performance Requirements and Budgets for the Gradiometric Mission[R]. Technical Report, Thales Alenia Space. GO-TN-AI-0027, 2008.
[22] RUMMEL R, YI Weiyong, STUMMER C. GOCE Gravitational Gradiometry[J]. Journal of Geodesy, 2011, 85(11):777-790.