Abstract
In this work, a study of a specific network of five permanently operating GNSS stations was carried out. It based on the previously obtained results of studies of the effect of thermal compression-expansion of buildings as foundations of geodetic stations, conditions for the manifestation of this effect in variations of geodetic stations positions and properties of these variations. The study examined seasonal variations in relative positions of stations in this network. Relative GPS positioning on very short baselines that has very high sensitivity was used for the study. Based on the analysis of the properties of the time series obtained for all possible baselines in this network, it is shown that the seasonal variations observed in these time series reflect the influence of changes in ambient temperature. From point of view of the problem being solved, this network has an important property: all stations are installed along perimeter of the same building – a concrete survey tower. Using this property, models of variations of these stations positions under influence of this effect were constructed without the use of external reference stations. The constructed high-precision models are suitable for practical use – predicting actual positions of these stations in arbitrary observation epochs.
Acknowledgments
Many thanks to the three anonymous reviewers for their numerous comments which helped to improve the paper.
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Research ethics: Not applicable.
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Informed consent: Not applicable.
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Author contributions: The author has accepted responsibility for the entire content of this manuscript and approved its submission.
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Use of Large Language Models, AI and Machine Learning Tools: None declared.
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Conflict of interest: The author states no conflict of interest.
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Research funding: None declared.
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Data availability: Not applicable.
References
1. Bogusz, J, Figurski, M. Annual signals observed in regional GPS networks. Acta Geodyn Geomater 2014;11:125–31. https://doi.org/10.13168/AGG.2014.0003.Search in Google Scholar
2. Freymueller, JT. Seasonal position variations and regional reference frame realization. In: Drewes, H, editor. Geodetic reference frames. International association of geodesy symposia. Berlin, Heidelberg: Springer; 2009, vol 134:191–6 pp.10.1007/978-3-642-00860-3_30Search in Google Scholar
3. Dong, D, Fang, P, Bock, Y, Cheng, MK, Miyazaki, S. Anatomy of apparent seasonal variations from GPS-derived site position time series. J Geophys Res 2002;107:2075. https://doi.org/10.1029/2001JB000573.Search in Google Scholar
4. Araszkiewicz, A, Bogusz, J, Figurski, M. Investigation on. tidal components in GPS coordinates. Artif Satell 2009;44:67–74. https://doi.org/10.2478/v10018-009-0020-9.Search in Google Scholar
5. Beavan, J. Noise properties of continuous GPS data from concrete pillar geodetic monuments in New Zealand and comparison with data from U.S. deep drilled braced monuments. J Geophys Res 2005;110:B08410. https://doi.org/10.1029/2005JB003642.Search in Google Scholar
6. Bogusz, J, Figurski, M, Kroszczyński, K, Szafranek, K. Investigation of environmental influences to the precise GNNS solutions. Acta Geodyn Geomater 2011;8:5–15.Search in Google Scholar
7. Bogusz, J, Figurski, M. GPS-derived height changes in diurnal and sub-diurnal timescales. Acta Geophys 2012;60:295–317. https://doi.org/10.2478/s11600-011-0074-5.Search in Google Scholar
8. Bovshin, NA. Investigating the ambient temperature dependence of EPN/IGS stations positions. Geod Kartogr 2022;83:2–13. https://doi.org/10.22389/0016-7126-2022-981-3-2-13.Search in Google Scholar
9. Bovshin, NA. Investigating the ambient temperature influence on the positions of EPN/IGS stations located on buildings. Geod Kartogr 2022;83:2–13. https://doi.org/10.22389/0016-7126-2022-987-9-2-13.Search in Google Scholar
10. Bovshin, NA. Investigating the ambient temperature influence on the positions of EPN/IGS stations located on buildings and other structures. Geod Kartogr 2023;84:2–14. https://doi.org/10.22389/0016-7126-2023-991-1-2-14.Search in Google Scholar
11. Bovshin, NA. Investigation of environmental temperature influence on EPN/IGS stations positions. In: Proceedings of the international university scientific forum “practice oriented science: UAE – RUSSIA – INDIA”. Part 2. UAE; 2023:204–23 pp.Search in Google Scholar
12. Davis, JL, Wernicke, BP, Tamisiea, ME. On seasonal signals in geodetic time series. J Geophys Res 2012;117:B01403. https://doi.org/10.1029/2011JB008690.Search in Google Scholar
13. Drouin, V, Heki, K, Sigmundsson, F, Hreinsdóttir, S, Ófeigsson, BG. Constraints on seasonal load variations and regional rigidity from continuous GPS measurements in Iceland, 1997–2014. Geophys J Int 2016;205:1843–58. https://doi.org/10.1093/gji/ggw122.Search in Google Scholar
14. Flouzat, M, Bettinelli, P, Willis, P, Avouac, J, Héritier, T, Gautam, U. Investigating tropospheric effects and seasonal position variations in GPS and DORIS time-series from the Nepal Himalaya. Geophys J Int 2009;178:1246–59. https://doi.org/10.1111/j.1365-246X.2009.04252.x.Search in Google Scholar
15. Hefty, J, Igondová, M, Droščák, B. Homogenization of long-term GPS monitoring series at permanent stations in Central Europe and Balkan Peninsula. Contrib Geophys Geod 2009;39:19–42. https://doi.org/10.2478/v10126-009-0002-8.Search in Google Scholar
16. Hefty, J, Igondová, M. Diurnal and semi-diurnal coordinate variations observed in EUREF permanent GPS network – a case study for period from 2004.0 to 2006.9. Contrib Geophys Geod 2010;40:225–47. https://doi.org/10.2478/v10126-010-0010-8.Search in Google Scholar
17. Hill, EM, Davis, JL, Elo’segui, P, Wernicke, BP, Malikowski, E, Niemi, NA. Characterization of site-specific GPS errors using a short-baseline network of braced monuments at Yucca Mountain, southern Nevada. J Geophys Res 2009;114:B11402. https://doi.org/10.1029/2008JB006027.Search in Google Scholar
18. Kaczmarek, A, Kontny, B. Estimates of seasonal signals in GNSS time series and environmental loading models with iterative Least-Squares Estimation (iLSE) approach. Acta Geodyn Geomater 2018;15:131–41. https://doi.org/10.13168/AGG.2018.0009.Search in Google Scholar
19. Maciuk, K, Szombara, S. Annual crustal deformation based on GNSS observations between 1996 and 2016. Arab J Geosci 2018;11:667. https://doi.org/10.1007/s12517-018-4022-4.Search in Google Scholar
20. Rajner, M, Liwosz, T. Studies of crustal deformation due to hydrological surface loading on GPS height estimates. Geod Cartogr 2011;60:137–46. https://doi.org/10.2478/v10277-012-0012-y.Search in Google Scholar
21. Serpelloni, E, Faccenna, C, Spada, G, Dong, D, Williams, SDP. Vertical GPS ground motion rates in the Euro‐Mediterranean region: new evidence of velocity gradients at different spatial scales along the Nubia‐Eurasia plate boundary. J Geophys Res Solid Earth 2013;118:6003–24. https://doi.org/10.1002/2013JB010102.Search in Google Scholar
22. Tretyak, K, Palianytsia, B. Research of the environmental temperature influence on the horizontal displacements of the Dnieper hydroelectric station dam (according to GNSS measurements). Rep Geod Geoinf 2022;113:1–10. https://doi.org/10.2478/rgg-2022-0001.Search in Google Scholar
23. Trofimenko, SV, Bykov, VG, Shestakov, NV, Grib, NN, Takahashi, H. A new insight into the nature of seasonal variations in coordinate time series of GPS sites located near active faults. Front Earth Sci 2016;10:560–9. https://doi.org/10.1007/s11707-016-0583-2.Search in Google Scholar
24. Wang, K, Yang, L, Li, S, Zhang, T, Li, Z, Deng, L. Assessment of the diurnal and semidiurnal signals induced by monument thermal effect with time series of very short GPS baselines. Geod Geodyn 2024;16:158–71. https://doi.org/10.1016/j.geog.2024.07.002.Search in Google Scholar
25. Yan, H, Chen, W, Zhu, Y, Zhang, W, Zhong, M. Contributions of thermal expansion of monuments and nearby bedrock to observed GPS height changes. Geophys Res Lett 2009;36:L13301. https://doi.org/10.1029/2009GL038152.Search in Google Scholar
26. Kouba, J. A guide to using international GNSS service (IGS) products; 2015. Available from: https://igs.org/wp-content/uploads/2019/08/UsingIGSProductsVer21_cor.pdf.Search in Google Scholar
27. Bruyninx, C, Legrand, J, Fabian, A, Pottiaux, E. GNSS metadata and data validation in the EUREF permanent network. GPS Solut 2019;23:106. https://doi.org/10.1007/s10291-019-0880-9.Search in Google Scholar
28. Leandro, RL, Langley, RB, Santos, MC. UNB3m_pack: a neutral atmosphere delay package for radiometric space techniques. GPS Solut 2008;12:65–70. https://doi.org/10.1007/s10291-007-0077-5.Search in Google Scholar
29. Gerhatova, L, Hefty, J, Spanik, P. Short-term and long-term variability of antenna position due to thermal bending of pillar monument at permanent GNSS station. Rep Geod Geoinf 2016;100:67–77. https://doi.org/10.1515/rgg-2016-0007.Search in Google Scholar
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