Technical Papers
Nov 6, 2013

Time-Variant Adjustment for a Level Network

Publication: Journal of Surveying Engineering
Volume 140, Issue 2

Abstract

It has been routine work to determine the elevations of points on Earth’s surface for a wide range of purposes. However, surveyors are now facing new challenges because of the increasing demand for high-quality measurements despite potential errors caused by Earth’s dynamics, which introduce time-dependent signals in the points being investigated. Classical level network adjustment works well when benchmark elevations are known precisely and remain constant over time. However, the traditional approach fails to consider possible ground motions in a single process of network adjustment. This study proposes a time-variant model and unified least-squares technique for level network adjustment. The main emphasis of this approach is to accommodate the time-dependent behaviors of benchmarks caused by ground motions and other unknown sources. The numerical results from a simulated test and a real case study show that the proposed approach can capture the time-dependent signals of benchmarks. Consequently, significant perturbations in benchmarks can be identified, and an improved analysis for level network adjustment thus can be achieved.

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Acknowledgments

The authors thank the editor and three anonymous reviewers for their constructive comments that significantly improved the quality of the original manuscript. The Department of Urban Development, Taipei City Government, is gratefully acknowledged for providing the data set used in the case study.

References

Altamimi, Z., Sillard, P., and Boucher, C. (2002). “ITRF2000: A new release of the International Terrestrial Reference frame for earth science applications.” J. Geophys. Res., 107(B10), ETG2-1–ETG2-19.
Anderson, J. M., and Mikhail, E. M. (2000). Surveying: Theory and practice, 7th Ed., McGraw-Hill, New York.
Calais, E., Han, J. Y., DeMets, C., and Nocquet, J. M. (2006). “Deformation of the North American plate interior from a decade of continuous GPS measurements.” J. Geophys. Res., 111(B06402), 1–23.
DeMets, C., Gordon, R., Argus, D., and Stein, S. (1990). “Current plate motions.” Geophys. J. Int., 101(2), 425–478.
El-Mowafy, A., Fashir, H., Al Habbai, A., Al Marzooqi, Y., and Babiker, T. (2006). “Real-time determination of orthometric heights accurate to the centimeter level using a single GPS receiver: Case study.” J. Surv. Eng., 1–6.
Fotopoulos, G., Kotsakis, C., and Sideris, M. (2003). “How accurately can we determine orthometric height differences from GPS and geoid data?” J. Surv. Eng., 1–10.
Ghilani, C. D., and Wolf, P. R. (2006). Adjustment computations: Spatial data analysis, 4th Ed., Wiley, Hoboken, NJ.
Ghilani, C. D., and Wolf, P. R. (2011). Elementary surveying: An introduction to geomatics, 13th Ed., Prentice-Hall, Englewood Cliffs, NJ.
Han, J. Y., and van Gelder, B. H. W. (2006). “Stepwise parameter estimations for a time-variant similarity transformation.” J. Surv. Eng., 141–148.
Han, J. Y., Yu, S. W., and van Gelder, B. H. W. (2011). “Time-variant reference frame transformations in a deforming area.” Surv. Rev., 43(321), 284–295.
Hung, W. C., et al. (2011). “Surface deformation from persistent scatterers SAR interferometry and fusion with leveling data: A case study over the Choushui River Alluvial Fan, Taiwan.” Remote Sens. Environ., 115(4), 957–967.
Hung, W. C., Hwang, C., Chang, C. P., Yen, J. Y., Liu, C. H., and Yang, C. Y. (2010). “Monitoring severe aquifer-system compaction and land subsidence in Taiwan using multiple sensors: Yunlin, the southern Choushui River Alluvial Fan.” Environ. Earth Sci., 59(7), 1535–1548.
Hwang, C., Hsu, H. J., and Huang, C. H. (2013). “A new geoid model of Taiwan: Applications to hazard mitigation, environmental monitoring and height modernization.” Taiwan J. Geoinform., 1(1), 57–81.
Hwang, C., Hung, W. C., and Liu, C. H. (2008). “Results of geodetic and geotechnical monitoring of subsidence for Taiwan High Speed Rail operation.” Nat. Hazards, 47(1), 1–16.
Kavanagh, B. F. (2004). Surveying with construction applications, 5th Ed., Prentice-Hall, Englewood Cliffs, NJ.
Mikhail, E. M., and Ackermann, F. (1976). “A unified approach to least squares adjustment.” Observations and least squares, IEP-A Dun-Donnelley, New York, 333–359.
Ministry of the Interior. (2001). Standards for first-order level surveying, Taipei, Taiwan (in Chinese).
Pearson, C., McCaffrey, R., Elliott, J., and Snay, R. (2010). “HTDP 3.0: Software for coping with the coordinate changes associated with crustal motion.” J. Surv. Eng., 80–90.
Soler, T. (1998). “A compendium of transformation formulas useful in GPS work.” J. Geod., 72(7–8), 482–490.
Soler, T., and Marshall, J. (2003). “A note on frame transformations with applications to geodetic datums.” GPS Solutions, 7(1), 23–32.
Ustun, A., and Demirel, H. (2006). “Long-range geoid testing by GPS-leveling data in Turkey.” J. Surv. Eng., 15–23.
Wang, Y. M., Saleh, J., Li, X., and Roman, D. R. (2012). “The US Gravimetric Geoid of 2009 (USGG2009): Model development and evaluation.” J. Geod., 86(3), 165–180.
Yu, S. B., Chen, H. Y., and Kuo, L. C. (1997). “Velocity field of GPS stations in the Taiwan area.” Tectonophysics, 274(1–3), 41–59.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 140Issue 2May 2014

History

Received: May 13, 2013
Accepted: Nov 4, 2013
Published online: Nov 6, 2013
Published in print: May 1, 2014
Discussion open until: Jul 10, 2014

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Authors

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Jen-Yu Han, M.ASCE [email protected]
Associate Professor, Dept. of Civil Engineering, National Taiwan Univ., Taipei 10617, Taiwan (corresponding author). E-mail: [email protected]
Cheinway Hwang [email protected]
Chairman and Professor, Dept. of Civil Engineering, National Chiao Tung Univ., Hsinchu 30010, Taiwan. E-mail: [email protected]
Jun-Yun Chou [email protected]
Ph.D. Student, Dept. of Civil Engineering, National Taiwan Univ., Taipei 10617, Taiwan. E-mail: [email protected]
Wei-Chia Hung [email protected]
Senior Researcher, Green Energy and Environment Research Laboratories, Industrial Technology Research Institute, Hsinchu 31040, Taiwan. E-mail: [email protected]

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