TECHNICAL PAPERS
Feb 1, 2006

Long-Range Geoid Testing by GPS-Leveling Data in Turkey

Publication: Journal of Surveying Engineering
Volume 132, Issue 1

Abstract

A long-range geoid testing procedure is presented using a geometrical geoid profile, which extends in an approximate north–south direction between the Mediterranean and the Black Sea. Along the first-order leveling line of the Turkish National Vertical Control Network (TNVCN), 47 leveling benchmarks at 2025km intervals were selected as global positioning satellite (GPS)-leveling control points with known Helmert orthometric heights. The geometrical geoid profile computed from GPS-leveling data was compared with the national Turkish Geoids 1991 (TG91) and 1999A (TG99A), and global geoids OSU91A and EGM96. In absolute geoid testing, it is verified that TG91 has a tilt and bias with respect to the GPS-leveling geoid. TG99A, which has no tilt and bias, displays the root mean square agreement of ±12cm in the north–south direction. In relative geoid testing, it is understood that TG91 can only be used at 25km or shorter baseline lengths, whereas TG99A can be used over all baseline lengths with an accuracy that is equal to the tolerance value for the second-order leveling control.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This research was supported financially by the Research Found of Yildiz Technical University Project No. UNSPECIFIED20-11-01-01. The Helmert orthometric heights and geoid heights were provided by the General Command of Mapping. The writers thank C. Demir, A. Kilicoglu, M. Berber, N. Arslan, C. Aydin, U. Dogan,O. Bildirici, F. Uysal, and H. Alban for their contributions, and also the responsible editor for editing the text.

References

Ayhan, M. E. (1993). “Geoid determination in Turkey (TG91).” Bull. Geod., 67(1), 10–22.
Ayhan, M. E., et al. (2002). “Turkish national fundamental GPS Network-1999A (TFGN99A).” Harita Dergisi, 16, 1–69 (in Turkish).
Birardi, G., Santarsiero, D., Tufillaro, D., and Surace, L. (1995). “Setting-up local ‘mapping geoids’ with the aid of GPS/LEV traverses. Application to the geoids of Sardinia and Calabria.” J. Geodesy, Berlin, 70, 98–109.
Demir, C. (1999). “Turkish National Vertical Control Network-1999 (TNVCN99).” Technical Rep. No. Jeof-99-2, General Command of Mapping, Ankara, Turkey (in Turkish).
Featherstone, W. E. (2000). “Refinement of a gravimetric geoid using GPS and leveling data.” J. Surv. Eng., 126(2), 27–56.
Featherstone, W. E. (2001). “Absolute and relative testing of gravimetric geoid models using global positioning system and orthometric height data.” Comput. Geosci., 27(7), 807–814.
Featherstone, W. E., et al. (2001). “The AUSGeoid98 geoid model of Australia: Data treatment, computations and comparisons with GPS-leveling data.” J. Geodesy, Berlin, 75(5/6), 313–330.
Fotopoulos, G., Kotsakis, C., and Sideris, M. G. (1999). “A new Canadian geoid model in support of leveling by GPS.” Geomatica, 53(4), 53–62.
Heck, B. (1997). “Formulation and linearization of boundary value problems: From observables to a mathematical model.” Lecture notes in arth sciences: Geodetic boundary value problems in view of the one centimeter geoid, F. Sanso and R. Rummel, eds., Springer, Berlin, 123–160.
Heiskanen, W. A., and Moritz, H. (1967). Physical geodesy, WH Freeman & Co., San Francisco.
Hugentobler, U., Schaer, S., and Fridez, P. (2001). Bernese GPS software version 4.2, Astronomical Institute, Univ. of Bern, Bern, Switzerland.
Jiang, Z., and Duquenne, H. (1996). “On the combined adjustment of a gravimetrically determined geoid and GPS leveling stations.” J. Geodesy, Berlin, 70, 505–514.
Kearsley, A. H. W. (1986). “Data requirements for determining precise relative geoid heights from gravimetry.” J. Geophys. Res., 91(B9), 9193–9201.
Kearsley, A. H. W. (1988). “Test on the recovery of precise geoid height differences from gravimetry.” J. Geophys. Res., 93(B6), 6559–6570.
Kotsakis, C., and Sideris, M. G. (1999). “On the adjustment of combined GPS/leveling/geoid networks.” J. Geodesy, Berlin, 73(8), 412–421.
Lemoine, F. G., et al. (1998). “The development of the joint NASA GSFC and NIMA geopotential model EGM96.” NASA/TP-1998-206861, National Aeronautics and Space Administration, Ohio.
Mainville, A., Forsberg, R., and Sideris, M. G. (1992). “Global positioning system of geoids computed from geopotential models and local gravity data: A case study.” J. Geophys. Res., 97(B7), 11137–11147.
Martinec, Z. (1998). “Boundary-value problems for gravimetric determination of a precise geoid.” Lecture notes in earth sciences, Vol. 73, Springer, Berlin.
Rapp, R. H. (1997). “Global models for the 1cm geoid-present status and near term prospects.” Lecture notes in earth sciences: Geodetic boundary value problems in view of the one centimeter geoid, F. Sanso and R. Rummel, eds., Springer, Berlin, 273–311.
Rapp, R. H., Wang, Y. M., and Pavlis, N. K. (1991). “The Ohio State geopotential and sea surface topography harmonic coefficient models.” Dept. of Geodetic Sciences and Surveying Rep. No. 410, Ohio State Univ., Columbus, Ohio.
Roman, D. R., Wang, Y. M., Henning, W., and Hamilton, J. (2004). “Assesment of the new national geoid height model—GEOID03.” Surv. Land Inf. Science, 40(3), 153–162.
Rummel, R., and Teunissen, P. (1988). “Height datum definition, height datum connection and the role of the geodetic boundary value problem.” Bull. Geod., 62, 477–498.
Schwarz, K. P., Sideris, M. G., and Forsberg, R. (1987). “Orthometric heights without leveling.” J. Surv. Eng., 113(1), 28–40.
Sideris, M. G. (1994). “Regional geoid determination.” Geoid and its geophysical interpretations, P. Vaníček and N. T. Christou, eds., CRC, Boca Raton, Fla., 77–94.
Sideris, M. G., Mainville, A., and Forsberg, R. (1992). “Geoid testing using GPS and leveling (or GPS testing using leveling and the geoid?).” Australian J. Geodesy Photogrammetry Surveying, 57, 62–77.
Smith, D. A., and Milbert, D. G. (1999). “The GEOID96 high resolution geoid height model for the United States.” J. Geodesy, Berlin, 73(5), 219–236.
Smith, W. H. F., and Wessel, P. (1990). “Gridding with continuous curvature splines in tension.” Geophysics, 55(3), 293–305.
Torge, W., Basic, T., Denker, H., Doliff, J., and Wenzel, H. G. (1989). “Long range geoid control through the European GPS traverse.” Deutsche Geodätische Kommission, Reihe B, 290, München, Germany.
Tscherning, C. C. (1974). “A FORTRAN IV program for the determination of the anomalous potential using stepwise least squares collocation.” Rep. of the Department of Geodetic Science No. 212, Ohio State Univ., Columbus, Ohio.
Ustun, A. (2002). “An investigation on the contribution of GPS to establishment regional and global height systems: A case study.” PhD thesis, Natural and Applied Science Institute, Yildiz Technical Univ., Istanbul, Turkey.
Vaníček, P., and Krakiwsky, E. J. (1986). Geodesy: The concepts, Elsevier Science, Amsterdam, The Netherlands.
Vincenty, T. (1975). “Direct and inverse solutions of geodesics on the ellipsoid with application of nested equations.” Surv. Rev., 22(176), 88–93.

Information & Authors

Information

Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 132Issue 1February 2006
Pages: 15 - 23

History

Received: May 28, 2003
Accepted: Mar 1, 2005
Published online: Feb 1, 2006
Published in print: Feb 2006

Permissions

Request permissions for this article.

Authors

Affiliations

Aydin Ustun [email protected]
Professor, Dept. of Geodesy and Photogrammetry Engineering, Engineering and Architecture Faculty, Selcuk Univ., 42031 Kampus, Konya, Turkey (corresponding author). E-mail: [email protected]
Hüseyin Demirel [email protected]
Professor, Dept. of Geodesy and Photogrammetry Engineering, Civil Engineering Faculty, Yildiz Technical Univ., 80750 Yildiz, Istanbul, Turkey. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share