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Analyzing the Deformations of a Bridge Using GPS and Levelling Data

  • Conference paper
Geodetic Deformation Monitoring: From Geophysical to Engineering Roles

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 131))

Abstract

The aim of this study is analysing 1D (in vertical) and 3D movements of a highway viaduct, which crosses over a lake, using GPS and levelling measurement data separately and their combination as well. The data are acquired from the measurement campaigns which include GPS sessions and precise levelling measurements, performed with six—month intervals for two years. In 1D analysis of the (vertical) deformations, the height differences derived from GPS and levelling data were evaluated. While combining the height—difference sets (GPS derived and levelling derived) in the third stage of 1D analysis, Variance Component Estimation (VCE) techniques according to Helmert’s approach and Rao’s Minimum Norm Quadratic Unbiased Estimation (MINQUE) approach have been used.

In 3D analysis of the deformations with only GPS data classical S—transformation method was employed.

The theoretical aspects of each method that was used in the data analyses of this study are summarized. The analysis results of the deformation inspections of the highway viaduct are discussed and from the results, an optimal way of combining GPS data and levelling data to provide reliable inputs to deformation investigations is investigated in this study.

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References

  • Baarda, W. (1973). S-transformation and criterion matrices, Netherlands Geodetic Commission Publications on Geodesy, New Series, 5 (1)

    Google Scholar 

  • Biacs, Z. F. (1989). Estimation and hypothesis testing for deformation analysis in special purpose networks, UCSE Report 20032, Department of Surveying Engineering, University of Calgary

    Google Scholar 

  • Blewitt, G. (1990). GPS Techniques for Monitoring Geodynamics at Regional Scales. In Proceeding of Second International Symposium on GPS, Canada, pp. 495–507.

    Google Scholar 

  • Caspary, W. F. (1987). Concept of network and deformation analysis. Wales, Monograph 11, School of Surveying, University of New South Wales, pp. 1–183.

    Google Scholar 

  • Chen, Y. G. and A. Chrzanowski (1985). Assessment of levelling measurements using the theory of MINQUE. Proceeding of 3rd International Symposium North American Vertical Datum, Rockville, pp. 389–400.

    Google Scholar 

  • Chrzanowski, A. and Y. Q. Chen (1986). Report of the ad hoc committee on the analysis of deformation surveys. In Proc. of the FIG XVIII International Congress. Paper No: 608.1, Toronto 6, pp. 167–185.

    Google Scholar 

  • Chrzanowski A., Y. Q. Chen, J. M. Secord, A. S. Chrzanowski (1991). Problems and solutions in the integrated monitoring and analysis of dam deformations, CISM Journal, 45(4). pp. 547–560.

    Google Scholar 

  • Chrzanowski, A., A. S. Chrzanowski (1995). Identification of dam deformation mechanism. In Proceedings of the MWA International Conference on Dam Engineering, Kuala Lumpur, pp. 179–187.

    Google Scholar 

  • Cooper, M. A. R. (1987). Control surveys in civil engineering. Blackwell Scientific, Oxford, pp. 1–381.

    Google Scholar 

  • Crocetto, N., M. Gatti, P. Russo (2000). Simplified Formulae for The BIQUE Estimation of Variance Components in Disjunctive Observation Groups. Journal of Geodesy, 74 pp. 447–457.

    Article  Google Scholar 

  • Demirel, H. (1987). S-Transformation and Deformation Analysis. In Proc. of First Turkey Technical Surveying Congress, Chamber of Surveying Engineers of Turkey, Ankara, Turkey, February 23–27, (in Turkish)

    Google Scholar 

  • Erol, S., T. Ayan (2003). An Investigation on Deformation Measurements of Engineering Structures With GPS And Levelling Data Case Study. In: Proc. International Symposium on Modern Technologies, Education and Professional Practice in the Globalizing World, Sofia, Bulgaria, November 6–7.

    Google Scholar 

  • Featherstone, W. E., M. C. Denith, J. F. Kirby (1998). Strategies for the Accurate Determination of Orthometric Heights from GPS. Survey Review 34, 267, pp 278–296.

    Google Scholar 

  • Fotopoulos, G. (2003). An Analysis on the Optimal Combination of Geoid, Orthometric and Ellipsoidal Height Data. PhD. Thesis, UCGE Report No. 20185, Department of Geomatics Engineering, The University of Calgary.

    Google Scholar 

  • Fotopoulos, G. and M. G. Sideris (2003) On the estimation of variance components using GPS, geoid and levelling data, Canadian Geophysical Union Annual meeting: Challenges and opportunities for geophysics in Canada, Banff, Canada, May 10–14.

    Google Scholar 

  • Fraser, C. S. and L. Gründig (1985). The analysis of photogrammetric deformation measurements on Turtle Mountain, Photogrammetric Engineering and Remote Sensing, 51(2), pp. 207–216.

    Google Scholar 

  • Grafarend, E. W. (1984). Variance-Covariance Components Estimation, Theoretical Results and Geodetic Applications, 16th European Meeting of Statisticians, Marburg.

    Google Scholar 

  • Gründig, L., M. Neureither, J. Bahndorf (1985). Detection and localization of geometrical movements. ASCE Journal of Surveying Engineering, 111(2), pp. 118–132.

    Article  Google Scholar 

  • Helmert, F. R. (1924). Die Ausgleichungsrechnung nach der Methode der Kleinsten Quadratic, 3. AUFL., Leipzig/Berlin.

    Google Scholar 

  • Kızılsu, G. (1998) Precision Analysis for Lageos I and Lageos II, PhD Thesis, Istanbul Technical University, Institute of Science and Technology, Istanbul, Turkey (in Turkish).

    Google Scholar 

  • Niemeier, W., W. F. Teskey, R. G. Lyall (1982). Precision, reliability and sensitivity aspects of an openpit monitoring network. Australian Journal of Geodesy, Photogrammetry and Surveying, 37, pp. 1–27.

    Google Scholar 

  • Pelzer, H. (1971). Zur analyse geodatischer deformationsmessungen, Deutsche Geodatische Kommission, Munich, Reihe C, Heft 164, pp. 1–86.

    Google Scholar 

  • Rao, C. R. (1970). Estimation of Heterogeneous Variances in Linear Models, Journal of American Statistical Association, vol. 65, pp. 161–172.

    Article  Google Scholar 

  • Rao, C. R. (1971). Estimation of Variance Components-MINQUE Theory. Journal of Multivariate Statistics, vol.1, pp. 257–275.

    Article  Google Scholar 

  • Rao, C. R. and J. Kleffe (1988). Estimation of Variance Components and Applications, North-Holland Series in Statistics and Probability, 3.

    Google Scholar 

  • Sjöberg, L. (1984). Non-negative Variance Component Estimation in the Gauss-Helmert Adjustment Model. Manuscripta Geodaetica, vol. 9, pp. 247–280.

    Google Scholar 

  • Strang van Hees, G. L. (1982). Variance-covariance transformations of geodetic networks, Manuscripta Geodaetica, 7, pp. 1–20.

    Google Scholar 

  • Teskey, W. F. and Z. F. Biacs (1990). A PC-based program system for adjustment and deformation analysis of precise engineering and monitoring networks. Australian Journal of Geodesy, Photogrammetry and Surveying, 52, pp. 37–55.

    Google Scholar 

  • Wang, J., M. Stewart, M. Tsakiri (1998). Stochastic Modelling for Static GPS Baseline Data Processing. Journal of Surveying Engineering, 124(4), pp. 171–181.

    Article  Google Scholar 

  • Welsch, W. M. (1993). A General 7-parameter Transformation for the Combination, Comparison and Accuracy Control of Terrestrial and Satellite Network Observations, Manuscripta Geodaetica, 18, pp. 295–305.

    Google Scholar 

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Erol, S., Erol, B., Ayan, T. (2006). Analyzing the Deformations of a Bridge Using GPS and Levelling Data. In: Sansò, F., Gil, A.J. (eds) Geodetic Deformation Monitoring: From Geophysical to Engineering Roles. International Association of Geodesy Symposia, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38596-7_30

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