Establishment of Statistical Correction Model for Vertical Annual Variations of Global GPS Stations

doi:10.11947/j.AGCS.2018.20170616

Abstract

Abstract: The research and modeling of nonlinear variations of GPS stations coordinates are effective ways to weaken nonlinear motion of the stations. However,due to the diversity and complexity of nonlinear variations of stations' coordinates,the theoretical correction model contained multiple mechanisms has not been established to weaken the nonlinear motion of GPS stations.In this paper,global distribution regularity of annual terms of vertical coordinates of stations was discovered based on the measured vertical coordinates residuals of nearly 500 GPS stations,two statistical correction models of annual variations based on measured data were respectively constructed for the northern and southern hemispheres.The experiments show that the statistical correction model proposed in this paper can weaken 30%~50% vertical coordinate residuals of most GPS stations in the world.

Key words: nonlinear variations, annual term, global distribution regularity, statistical correction model, vertical coordinates time series

CLC Number:

P228

FU Yanbo, SUN Fuping, ZHU Xinhui, LIU Jing. Establishment of Statistical Correction Model for Vertical Annual Variations of Global GPS Stations[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(10): 1337-1345.

References

[1] DONG D, FANG P, BOCK Y, et al. Anatomy of Apparent Seasonal Variations from GPS-derived Site Position Time Series[J]. Journal of Geophysical Research, 2002, 107(4):1-7.
[2] YAN Haoming, CHEN Wu, ZHU Yaozhong, et al. Contributions of Thermal Expansion of Monuments and Nearby Bedrock to Observed GPS Height Changes[J]. Geophysical Research Letters, 2009, 36(13):L13301.
[3] 闫昊明, 陈武, 朱耀仲, 等. 温度变化对我国GPS台站垂直位移的影响[J]. 地球物理学报, 2010, 53(4):825-832. YAN Haoming, CHEN Wu, ZHU Yaozhong, et al. Thermal Effects on Vertical Displacement of GPS Stations in China[J]. Chinese Journal of Geophysics, 2010, 53(4):825-832.
[4] PRAWIRODIRDJO L, BEN-ZION Y, BOCK Y. Observation and Modeling of Thermoelastic Strain in Southern California Integrated GPS Network Daily Position Time Series[J]. Journal of Geophysical Research, 2006, 111(B2):B02408.
[5] ROMAGNOLI C, ZERBINI S, LAGO L, et al. Influence of Soil Consolidation and Thermal Expansion Effects on Height and Gravity Variations[J]. Journal of Geodynamics, 2003, 35(4-5):521-539.
[6] 谭伟杰, 许雪晴, 董大南, 等. 温度变化对中国大陆三维周年位移的影响[J]. 测绘学报, 2017, 46(9):1080-1087. DOI:10.11947/j.AGCS.2017.20160628. TAN Weijie, XU Xueqing, DONG Danan, et al. Thermoelastic Seasonal Deformation in Chinese Mainland[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(9):1080-1087. DOI:10.11947/j.AGCS.2017.20160628.
[7] 姜卫平, 王锴华, 邓连生, 等. 热膨胀效应对GNSS基准站垂向位移非线性变化的影响[J]. 测绘学报, 2015, 44(5):473-480. DOI:10.11947/j.AGCS.2015.20140296. JIANG Weiping, WANG Kaihua, DENG Liansheng, et al. Impact on Nonlinear Vertical Variation of GNSS Reference Stations Caused by Thermal Expansion[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(5):473-480. DOI:10.11947/j.AGCS.2015.20140296.
[8] 孙付平, 田亮, 门葆红, 等. GPS测站周年运动与温度变化的相关性研究[J]. 测绘学报, 2012, 41(5):723-728. SUN Fuping, TIAN Liang, MEN Baohong, et al. Study on Correlation of Temperature Changes with GPS Station's Non-linear Movement[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(5):723-728.
[9] JIANG Weiping, LI Zhao, VAN DAM T, et al. Comparative Analysis of Different Environmental Loading Methods and Their Impacts on the GPS Height Time Series[J]. Journal of Geodesy, 2013, 87(7):687-703.
[10] FARRELL W E. Deformation of the Earth by Surface Loads[J]. Reviews of Geophysics, 1972, 10(3):761-797.
[11] SUN H P, DUCARME B, DEHANT V. Effect of the Atmospheric Pressure on Surface Displacements[J]. Journal of Geodesy, 1995, 70(3):131-139.
[12] VAN DAM T M, BLEWITT G, HEFLIN M B. Atmospheric Pressure Loading Effects on Global Positioning System Coordinate Determinations[J]. Journal of Geophysical Research, 1994, 99(B12):23939-23950.
[13] 姜卫平, 李昭, 刘鸿飞, 等. 中国区域IGS基准站坐标时间序列非线性变化的成因分析[J]. 地球物理学报, 2013, 56(7):2228-2237. JIANG Weiping, LI Zhao, LIU Hongfei, et al. Cause Analysis of the Non-linear Variation of the IGS Reference Station Coordinate Time Series Inside China[J]. Chinese Journal of Geophysics, 2013, 56(7):2228-2237.
[14] VAN DAM T M, WAHR J, MILLY P C D, et al. Crustal Displacements due to Continental Water Loading[J]. Geophysical Research Letters, 2001, 28(4):651-654.
[15] 张诗玉, 钟敏. 地表流体变化对我国地壳垂直形变的影响[J]. 武汉大学学报(信息科学版), 2007, 32(5):458-461. ZHANG Shiyu, ZHONG Min. Vertical Crustal Displacements in China due to Surface Fluid Changes[J]. Geomatics and Information Science of Wuhan University, 2007, 32(5):458-461.
[16] 张诗玉, 钟敏, 唐诗华. 我国GPS基准站地壳垂直形变的大气负荷效应[J]. 武汉大学学报(信息科学版), 2006, 31(12):1090-1093. ZHANG Shiyu, ZHONG Min, TANG Shihua. Vertical Crustal Displacements due to Atmospheric Loading Effects at GPS Fiducial Stations in China[J]. Geomatics and Information Science of Wuhan University, 2006, 31(12):1090-1093.
[17] ZHANG Jie, BOCK Y, JOHNSON H, et al. Southern California Permanent GPS Geodetic Array:Error Analysis of Daily Position Estimates and Site Velocities[J]. Journal of Geophysical Research, 1997, 102(B8):18035-18055.
[18] CHEN Wu, GAO Shan, HU Congwei, et al. Effects of Ionospheric Disturbances on GPS Observation in Low Latitude Area[J]. GPS Solutions, 2008, 12(1):33-41.
[19] KEDAR S, HAJJ G A, WILSON B D, et al. The Effect of the Second Order GPS Ionospheric Correction on Receiver Positions[J]. Geophysical Research Letters, 2003, 30(16):1829. DOI:10.1029/2003GL017639.
[20] 姜卫平, 李昭, 邓连生, 等. 高阶电离层延迟对GPS坐标时间序列的影响分析[J]. 科学通报, 2014, 59(10):913-923. JIANG Weiping, LI Zhao, DENG Liansheng, et al. Impact of Higher Order Ionospheric Delay on Continuous GPS Coordinate Time Series[J]. Chinese Science Bulletin, 2014, 59(10):913-923.
[21] 田亮, 刘武凤, 张建东, 等. 基于GPS坐标残差序列的全球测站非线性变化规律统计[J]. 地理空间信息, 2013, 11(4):70-71, 75. TIAN Liang, LIU Wufeng, ZHANG Jiandong, et al. Statistics and Analysis of Global GPS Non-linear Movement Based on GPS Coordinate Residual Series[J]. Geospatial Information, 2013, 11(4):70-71, 75.
[22] 田亮, 孙付平, 牛冬梅. 全球GNSS测站坐标周年非线性变化相位规律分析[J]. 大地测量与地球动力学, 2016, 36(2):154-157. TIAN Liang, SUN Fuping, NIU Dongmei. The Study on Phase Rule of Global GNSS Coordinate Annual Non-linear Motion[J]. Journal of Geodesy and Geodynamics, 2016, 36(2):154-157.
[23] 王振龙, 胡永宏. 应用时间序列分析[M]. 北京:科学出版社, 2007:79-82. WANG Zhenlong, HU Yonghong. Application of Time Series Analysis[M]. Beijing:Science Press, 2007:79-82.
[24] 刘伟, 李昭, 邓连生, 等. GPS高程时间序列的季节性变化分析周期项提取与残差时间序列模型建立[C]//第三届中国卫星导航学术年会电子文集——S08卫星导航模型与方法. 广州:中国卫星导航学术年会组委会, 2012. LIU Wei, LI Zhao, DENG Liansheng, et al. Seasonal Changes Analysis of GPS Elevation Times Series[C]//The 3rd Chinese Satellite Navigation Conference on electronic S08 Satellite Navigation Model and Method. Guangzhou:Organizing Committee of China Satellite Navigation Academic Annual Meeting, 2012.
[25] 孙付平, 赵铭, 宁津生, 等. 用空间大地测量数据检测地球的非对称性全球构造变化[J]. 科学通报, 1999, 44(20):2225-2229. SUN Fuping, ZHAO Ming, NING Jinsheng, et al. Detection of Unsymmetrical Global Tectonic Change by Using Space Geodetic Data[J]. Chinese Science Bulletin, 2000, 45(7):639-643.
[26] 孙家抦. 遥感原理与应用[M]. 武汉:武汉大学出版社, 2003:10-13. SUN Jiabing. Principles and Applications of Remote Sensing[M]. Wuhan:Wuhan University Press, 2003:10-13.
[27] RAY J, ALTAMIMI Z, COLLILIEUX X, et al. Anomalous Harmonics in the Spectra of GPS Position Estimates[J]. GPS Solutions, 2008, 12(1):55-64.