Effects of Displaced Reference Points on Deformation Analysis
Publication: Journal of Surveying Engineering
Volume 143, Issue 3
Abstract
The geodetic datum of a deformation monitoring network is defined using its reference points. This article discusses how deformation analysis is affected when reference points have been displaced as a result of rigid body displacement (translation and rotation) and deformation (extension or contraction) of the reference block; this article also includes points with single-point displacements. With this aim, the effects of the displacements of the reference points on the estimated displacements of the network points are considered. The well-known similarity (S)-transformation matrix associated with network datum is a convenient projector for explaining these effects. Some horizontal and vertical monitoring network examples are used to discuss the effects of the displaced reference points on deformation analysis.
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Acknowledgments
The author thanks Ugur Dogan, the editor, and anonymous reviewers for their time and valuable comments.
References
Amiri-Simkooei, A. R., Alaei-Tabatabaei, S. M., Zangeneh-Nejad, F., and Voosoghi, B. (2016). “Stability analysis of deformation-monitoring network points using simultaneous observation adjustment of two epochs.” J. Surv. Eng., 04016020.
Atzbacher, K., and Gerstenecker, C. (1993). “Secular gravity variations: Recent crustal movements or scale factor changes?” J. Geodyn., 18(1–4), 107–121.
Aydin, C. (2012). “Power of global test in deformation analysis.” J. Surv. Eng., 51–56.
Aydin, C., and Demirel, H. (2005). “Computation of Baarda’s lower bound of the non-centrality parameter.” J. Geod., 78(7–8), 437–441.
Baarda, W. (1973). S-transformation and criterion matrices, Netherlands Geodetic Commission, Publications on Geodesy, New Series, Vol. 5(1), Delft, Netherlands.
Benzao, T., and Shaorong, Z. (1995). “Optimal design of monitoring networks with prior deformation information.” Surv. Rev., 258(33), 231–246.
Cai, J., Grafarend, E. W., and Schaffrin, B. (2005). “Statistical inference of the eigenspace components of a two-dimensional, symmetric rank-two random tensor.” J. Geod., 78(7–8), 425–436.
Caspary, W. F. (2000). Concepts of network and deformation analysis, Univ. of New South Wales, Kensington, Australia.
Caspary, W. F., and Borutta, H. (1987). “Robust estimation in deformation models.” Surv. Rev., (223), 29–45.
Caspary, W. F., Haen, W., and Borutta, H. (1990). “Deformation analysis by statistical methods.” Technometrics, 32(1), 49–57.
Chen, Y. Q., and Chrzanowski, A. (1994). “An approach to separability of deformation models.” Z. Vermessungswesen, 119(2), 96–103.
Cooper, M. A. R. (1987). Control surveys in civil engineering, Collins, London.
Cymerman, M., Duchnowski, R., and Kopiejczyk, A. (2016). “Selection of initial parameters in R-estimates applied to deformation analysis in leveling networks.” J. Surv. Eng., 1–6.
Denli, H. H. (2008). “Stable point research on deformation networks.” Surv. Rev., 40(307), 74–82.
Denli, H. H., and Deniz, R. (2003). “Global congruency test methods for GPS networks.” J. Surv. Eng., 95–98.
Duchnowski, R. (2010). “Median-based estimates and their application in controlling reference mark stability.” J. Surv. Eng., 47–52.
Duchnowski, R., and Wisniewski, Z. (2012). “Estimation of the shift between parameters of functional models of geodetic observations by applying Msplit estimation.” J. Surv. Eng., 1–8.
Even-Tzur, G. (2006). “Datum definition and its influence on the sensitivity of geodetic monitoring networks.” Proc., 3rd IAG/12th FIG Symp. on Deformation Measurements, International Federation of Surveyors, Copenhagen, Denmark.
Even-Tzur, G. (2010). “More on sensitivity of a geodetic monitoring network.” J. Appl. Geod., 4(1), 55–59.
Even-Tzur, G. (2011). “Deformation analysis by means of extended free network adjustment constraints.” J. Surv. Eng., 47–52.
Han, J. Y., Guo, J., and Zeng, Z. (2012). “Sensitivity analysis for the principal strain parameters of a deformation monitoring network.” J. Surv. Eng., 109–116.
Hekimoglu, S., Demirel, H., and Aydin, C. (2002). “Reliability of conventional deformation analysis methods for vertical networks.” Proc., FIG XXII International Congress (CD-ROM), International Federation of Surveyors, Copenhagen, Denmark.
Hekimoglu, S., Erdogan, B., and Butterworth, S. (2010). “Increasing the efficacy of the conventional deformation analysis methods: Alternative strategy.” J. Surv. Eng., 53–62.
Koch, K. R. (1999). Parameter estimation and hypothesis testing in linear models, Springer, Berlin.
Kuang, S. (1991). “Optimization and design of deformation monitoring schemes.” Ph.D. thesis, Tech. Rep. 157, Dept. of Surveying Engineering, Univ. of New Brunswick, Fredericton, NB, Canada.
Marjetic, A., Ambrozic, T., Turk, G., Sterle, O., and Stopar, B. (2010). “Statistical properties of strain and rotation tensors in geodetic network.” J. Surv. Eng., 102–110.
Niemeier, W. (1985). “Deformationsanalyse.” Geodaetische netze in landes-und ingenieurvermessung II, H. Pelzer, ed., Konrad Wittwer, Stuttgart, Germany, 559–623.
Nowel, K. (2015). “Robust estimation in analysis of control network deformations: Classical and new method.” J. Surv. Eng., 1–9.
Nowel, K., and Kaminski, W. (2014). “Robust estimation of deformation from observation differences for free control networks.” J. Geod., 88(8), 749–764.
Teunissen, P. J. G. (1985). “Zero order design: Generalized inverses, adjustment, the datum problems and S-transformations.” Optimization and design of geodetic networks, E. W. Grafarend and F. Sanso, eds., Springer, Berlin, 11–55.
Teunissen, P. J. G. (2000). “Testing theory: An introduction.” Series on mathematical geodesy and positioning, Delft Univ. Press, Delft, Netherlands.
Tsenkov, T., and Gospodinov, S. (2002). “Determination of 2D-tectonic deformations using affine transformation.” Z. Vermessungswesen, 127(4), 262–264.
Vanicek, P., Craymer, M. R., and Krakiwsky, E. J. (2001). “Robustness analysis of geodetic horizontal networks.” J. Geod., 75(4), 199–209.
Vanicek, P., and Krakiwsky, E. J. (1986). Geodesy: The concepts, North-Holland, Amsterdam, Netherlands.
Zienkiewicz, M. H. (2015). “Application of Msplit estimation to determine control points displacements in networks with unstable reference system.” Surv. Rev., 47(342), 174–180.
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Published In
Journal of Surveying Engineering
Volume 143 • Issue 3 • August 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Feb 29, 2016
Accepted: Oct 27, 2016
Published online: Jan 16, 2017
Discussion open until: Jun 16, 2017
Published in print: Aug 1, 2017
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