热膨胀效应对GNSS基准站垂向位移非线性变化的影响

姜卫平; 王锴华; 邓连生; 李昭

doi:10.11947/j.AGCS.2015.20140296

测绘学报 >

2015 , Vol. 44 >Issue 5: 473 - 480

DOI: https://doi.org/10.11947/j.AGCS.2015.20140296

大地测量学与导航

热膨胀效应对GNSS基准站垂向位移非线性变化的影响

姜卫平 ,
王锴华 ,
邓连生 ,
李昭

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1. 武汉大学卫星导航定位技术研究中心, 湖北武汉 430079;
2. 武汉大学测绘学院, 湖北武汉 430079;
3. 卢森堡大学科学技术与通信系, 卢森堡

姜卫平(1972—),男,教授,博士生导师,现主要从事空间大地测量和地球动力学研究。 E-mail: wpjiang@whu.edu.cn

收稿日期: 2014-06-05

修回日期: 2014-10-15

网络出版日期: 2015-05-27

基金资助

国家863计划(2012AA12A209);国家自然科学基金(41374033)

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Impact on Nonlinear Vertical Variation of GNSS Reference Stations Caused by Thermal Expansion

JIANG Weiping ,
WANG Kaihua ,
DENG Liansheng ,
LI Zhao

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1. Research Center of GNSS, Wuhan University, Wuhan 430079, China;
2. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
3. Faculty of Science, Technology and Communication, University of Luxembourg, Luxembourg

Received date: 2014-06-05

Revised date: 2014-10-15

Online published: 2015-05-27

Supported by

The National High-tech Research and Development Program of China (863 Program) (No. 2012AA12A209);The National Natural Science Foundation of China (No. 41374033)

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摘要

天线观测墩及基岩的热膨胀效应会造成GNSS基准站坐标时间序列高程方向的非线性变化。本文提出了一种计算热膨胀效应导致的基准站垂向位移的改进方法:首先利用基岩热膨胀模型和基准站地表温度数据,分别计算热膨胀效应对基准站天线观测墩和基岩的影响量;其次,利用最小二乘拟合方法,同时估计模型中周期项的周期、振幅、相位等信息,而已有方法仅估计振幅与相位信息;最后,基于改进的模型,分析了基准站垂向位移的周期性特征变化。本文利用该方法分析了有代表性的9个IGS基准站的数据。结果表明:基岩热膨胀和天线观测墩热效应能造成测站垂直方向位移变化;在分析的基准站中,最大影响分别可达0.57 mm和1.85 mm;热膨胀效应造成的GNSS基准站垂直方向位移时间序列具有周年和半周年周期特性,分别可以解释测站U方向坐标时间序列季节性变化的11.2%和3.3%,影响大小随测站纬度的增加而增加,且半周年影响明显小于周年影响;同时,部分测站发现了其他小周期的影响(约51 d)。此外,基于该方法,选取了全球107个IGS站,计算了热膨胀造成的各测站垂向位移周年振幅及其相位,结果显示周年振幅最大可达3.3 mm,其大小和测站纬度具有比较明显的相关性。

关键词： 热膨胀; 垂向位移; 周期变化; 最小二乘拟合

本文引用格式

姜卫平 , 王锴华 , 邓连生 , 李昭 . 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

Abstract

Thermal expansion of GPS monuments and nearby bedrock could result in vertical changes in the coordinate time series of GNSS reference stations. In this paper, an improved method was developed to compute the magnitude of vertical variations caused by thermal expansion. Firstly, we calculated the effect on GPS monument and bedrock caused by thermal expansion based on land surface temperature data of GNSS reference stations and thermal expansion model. Secondly, we estimated the circular frequencies, amplitudes and phases using the method of least squares fitting instead of the current method which estimated only the amplitudes and phases information. Finally, we studied the periodic characteristics of the vertical variations caused by our modified thermal expansion model. Through analyzing the results of 9 representative IGS stations, we concluded that thermal expansion of GPS monuments and nearby bedrock could result in vertical variations of GNSS stations. The maximum variations could reach up to 0.57 mm and 1.85 mm at these stations respectively. The vertical variation caused by thermal expansion exhibited both annual and semiannual characteristics, which could explain 11.2% and 3.3% of the total annual and semi-annual variations in the up component of the coordinate time series respectively, and the magnitudes became larger with the increasing of their latitudes. Meanwhile, the amplitudes of the annual variations were much larger than that of the semi-annual variations. Meanwhile, some other small period (about 51 days) was also detected at some of these stations. In addition, we chose 107 IGS reference stations and computed the annual amplitudes and phases caused by thermal expansion of all these stations based on the method aforesaid. The results show that the maximum annual amplitude can reach to 3.3 mm, and their magnitudes show positive correlation with their latitudes prominently.

Key words： thermal expansion; vertical variation; periodic variation; least squares fitting

参考文献

[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(B4): ETG9-1-ETG9-16.
[2] 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): 521-539.
[3] 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: Solid Earth, 2006, 111(B2): B02408.
[4] 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.
[5] 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. (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.)
[6] WANG Min, SHEN Zhengkang, DONG Danan. Effects of Non-tectonic Crustal Deformation on Continuous GPS Position Time Series and Correction to Them[J]. Chinese Journal of Geophysics, 2005, 48(5): 1045-1052. (王敏, 沈正康, 董大南. 非构造形变对GPS连续站位置时间序列的影响和修正[J]. 地球物理学报, 2005, 48(5): 1045-1052.)
[7] MAO Ailin, HARRISON C G A, DIXON T H. Noise in GPS Coordinate Time Series[J]. Journal of Geophysical Research: Solid Earth(1978-2012),1999, 104(B2): 2797-2816.
[8] LI Zhao. Research on the Non-linear Variation of GPS Coordinate Time Series[D]. Wuhan: Wuhan University, 2012. (李昭. GPS坐标时间序列的非线性变化研究[D]. 武汉: 武汉大学, 2012.)
[9] WANG Yankai. Research on Geophysical Effect on GPS Height Coordinate Time Series[D]. Wuhan: Wuhan University, 2012. (王琰开. 地球物理效应对GPS高程坐标时间序列的影响研究[D]. 武汉: 武汉大学, 2012.)
[10] TURCOTTE D L, SCHUBERT G. Geodynamics: Application of Continuum Physics to Geological Problems[M]. New York: John Wiley, 1982:450.
[11] WEAST R C, ASTLE M J, et al. CRC Handbook of Chemistry and Physics[M]. Boca Raton, FL, USA: CRC Press, 1982.
[12] JIANG Weiping, LIU Hongfei, ZHOU Xiaohui, et al. Analysis of Long-term Deformation of Reservoir Using Continuous GPS Observations[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(5): 682-689. (姜卫平, 刘鸿飞, 周晓慧, 等. 利用连续GPS观测数据分析水库长期变形[J]. 测绘学报, 2012, 41(5): 682-689.)
[13] JIANG Weiping, LI Zhao, LIU Wanke, et al. Some Thoughts on Establishment and Maintenance of Terrestrial Reference Frame Considering Non-linear Variation[J]. Geomatics and Information Science of Wuhan University, 2010, 35(6): 665-669. (姜卫平, 李昭, 刘万科, 等. 顾及非线性变化的地球参考框架建立与维持的思考[J]. 武汉大学学报: 信息科学版, 2010, 35(6): 665-669.)
[14] LI Zhao, JIANG Weiping, LIU Hongfei, et al. Noise Model Establishment and Analysis of IGS Reference Station Coordinate Time Series inside China[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(4): 496-503. (李昭, 姜卫平, 刘鸿飞, 等. 中国区域IGS基准站坐标时间序列噪声模型建立与分析[J]. 测绘学报, 2012, 41(4): 496-503.)
[15] YUAN Linguo, DING Xiaoli, CHEN Wu, et al. Characteristics of Daily Position Time Series from the Hong Kong GPS Fiducial Network[J]. Chinese Journal of Geophysics, 2008, 51(5): 1372-1384. (袁林果, 丁晓利, 陈武, 等. 香港GPS基准站坐标序列特征分析[J]. 地球物理学报, 2008, 51(5): 1372-1384.)
[16] FU Yang. Present-day Crustal Deformation in China and GPS-derived Coordinate Time Series Analysis[D]. Beijing: Graduate University of Chinese Academy of Sciences, 2002. (符养. 中国大陆现今地壳形变与GPS坐标时间序列分析[D]. 北京: 中国科学院研究生院, 2002.)
[17] HUANG Liren. Noise Properties in Time Series of Coordinate Component at GPS Fiducial Stations[J]. Journal of Geodesy and Geodynamics, 2006, 26(2): 31-33, 38. (黄立人. GPS 基准站坐标分量时间序列的噪声特性分析[J]. 大地测量与地球动力学,2006, 26(2): 31-33, 38.)
[18] VERHOEF A, VAN DEN HURK B J, JACOBS A F, et al. Thermal Soil Properties for Vineyard (EFEDA-I) and Savanna (HAPEX-Sahel) Sites[J]. Agricultural and Forest Meteorology,1996, 78(1): 1-18.
[19] 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): 18018-18035.
[20] JIANG Zhihao, ZHANG Peng, BEI Jinzhong, et al. Velocity Estimation on the Colored Noise Properties of CORS Network in China Based on the CGCS2000 Frame[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(4): 355-363. (蒋志浩, 张鹏, 秘金钟, 等. 顾及有色噪声影响的CGCS2000下我国CORS站速度估计[J]. 测绘学报, 2010, 39(4): 355-363.)
[21] JIANG Zhihao, ZHANG Peng, MI Jinzhong, et al. The Model of Crustal Horizontal Movement Based on CGCS2000 Frame[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(6): 471-476. (蒋志浩, 张鹏, 秘金钟, 等. 基于CGCS2000的中国地壳水平运动速度场模型研究[J]. 测绘学报, 2009, 38(6): 471-476.)
[22] ZHU Wenyao, FU Yang, LI Yan. Global Height Vibration and Its Seasonal Variation Induced by GPS Height[J]. Science in China: Series D, 2003, 33(5): 470-481. (朱文耀, 符养, 李彦. GPS高程导出的全球高程振荡运动及季节性变化[J]. 中国科学: D辑, 2003, 33(5): 470-481.)

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