Skip to main content
Log in

A new height datum for Iran based on the combination of gravimetric and geometric geoid models

  • Published:
Acta Geodaetica et Geophysica Hungarica Aims and scope Submit manuscript

Abstract

A new geoid model for Iran (IRG04) was computed based on the least squares modification of the Stokes formula. IRG04 was derived from the most recent gravity anomaly database, SRTM high resolution Digital Elevation Model (DEM) and GRACE GGM02 global geopotential model. In order to define a new height datum for Iran, we attempted to combine this high resolution gravimetric geoid model with GPS/levelling data using the corrective surface approach. The corrective surface was constructed from 224 GPS/levelling points and then evaluated with 35 independent points. Different interpolation techniques were tested for the creation of the corrective surface; among them the Kriging method was selected as it gave the smallest RMS and ‘noise level’ at the comparisons with GPS/levelling data. The RMS fit of the new combined geoid model versus the independent GPS/levelling data is 0.09 m, it is near four times better compared to the original gravimetric geoid model. The combined model should be more convenient and useful in definition of the new height reference surface, specifically in engineering and GPS/levelling projects.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ardalan R, Grafarend E 2004: J. Geodesy, 78, 138–156.

    Google Scholar 

  • Blais J A R 1982: Manuscripta Geodaetica 7, pp 325–352.

    Google Scholar 

  • Burrough P A, McDonnell R A 1998: Principles of Geographical Information Systems. Oxford University Press Inc, New York

    Google Scholar 

  • GRACE 2004: GRACE Gravity Model GGM02. University of Texas at Austin, Center for Space Research. http://www.csr.utexas.edu/grace/gravity/(2004)

  • Golden Software, Surfer 8, User’s Guide 1999: Contouring and 3D surface mapping for scientist and engineers, Colorado, USA

    Google Scholar 

  • Hamesh M 1991: Technical report about adjustment of Iranian first order levelling network. National Cartographic Center of Iran (NCC) J. Surveying, 1, 9–20.

    Google Scholar 

  • Heiskanen W A, Moritz H 1967: Physical Geodesy. W H Freeman and Co., New York, London and San Francisco

    Google Scholar 

  • Isaaks E H, Srivastava R M 1989: An Introduction to Applied Geostatistics. Oxford University Press, Inc., New York

    Google Scholar 

  • Kiamehr R 2005: Qualification and refinement of the Iranian gravity database, NCC Geomatics 84 Conferences, Tehran, Iran

  • Kiamehr R 2006: J. Geodesy, 79(10,11), 602–612.

    Article  Google Scholar 

  • Kiamehr R, Sjöberg L E 2005a: J. Studia Geoph. Geod., 49, 289–304.

    Article  Google Scholar 

  • Kiamehr R, Sjöberg L E 2005b: J. Geodesy, 79(9), 540–551.

    Article  Google Scholar 

  • Kirby J F, Featherstone W E 1997: Geomatics Research Australasia, 66, 93–108.

    Google Scholar 

  • Kotsakis C, Sideris M G 1999: J. Geodesy, 73(8), 412–421.

    Article  Google Scholar 

  • Kotsakis C, Fotopoulos G, Sideris M G 2001a: In: Proceedings of the International Association of Geodesy Symposium on Vertical Reference Systems. Cartagena, Colombia, IAG Symposia, Vol. 124, 113–118.

    Google Scholar 

  • Kotsakis C, Fotopoulos G, Sideris M G 2001b: Optimal fitting of gravimetric geoid undulations to GPS/levelling data using an extended similarity transformation model. Presented at the 27th Annual Meeting joint with the 58th Eastern Snow Conference of the Canadian Geophysical Union, Ottawa, Canada

  • Lee J-T, Mezera D F 2000: Survey Review, 35, 379–397.

    Article  Google Scholar 

  • Mårtensson S G 2001: Height Determination by GPS — A Practical Experiment in Central Sweden. Report 1054, Division of Geodesy, Royal Institute of Technology, Stockholm

    Google Scholar 

  • Matheron G 1963: Economic Geology, 58, 1246–1266.

    Article  Google Scholar 

  • Molodenskii M S, Eremeer V F, Yurkina M I 1962: Methods for Study of the External Gravitational Field and Figure of the Earth. Transl. from Russian (1960), Jerusalem, Israel Program for Scientific Translation

    Google Scholar 

  • Moritz H 1973: Deutsche Geodatische Kommission. Reihe A, Heft Nr. 75.

  • Sandwell D T, Smith W H F 1997: J. Geoph. Res., 102(B5), 10039–10054.

    Article  Google Scholar 

  • Sjöberg L E 1984: Manuscr. Geod., 9, 209–229.

    Google Scholar 

  • Sjöberg L E 1991: Manuscr. Geod., 16, 367–375

    Google Scholar 

  • Sjöberg L E 2000: J. Geod., 74(2), 255–268.

    Article  Google Scholar 

  • Sjöberg L E 2001: J. Geod., 75, 283–290.

    Article  Google Scholar 

  • Sjöberg L E 2003a: J. Geod., 77, 94–100.

    Article  Google Scholar 

  • Sjöberg L E 2003b: Boll. Geod. Sci. Aff., 61(3), 215–225.

    Google Scholar 

  • Sjöberg L E 2003c: J. Geod., 74, 255–268.

    Google Scholar 

  • Sjöberg L E 2003d: J. Geod., 77, 459–464.

    Article  Google Scholar 

  • Sjöberg L E 2003e: J. Geod., 77, 804–808.

    Article  Google Scholar 

  • Sjöberg L E, Nahavandchi H 2000: J. Int., 140, 95–100.

    Google Scholar 

  • Smith D A 1998: International Geoid Service Bulletin, 8, 17–28.

    Google Scholar 

  • Stein M L 1999: Interpolation of spatial data: some theory for kriging. Springer-Verlag, New York

    Book  Google Scholar 

  • Watson D F 1992: Contouring — A Guide to the Analysis and Display of Spatial Data. Pergamon Press, Oxford

    Google Scholar 

  • Zilkoski D, Onofrio J D, Frakes S 1997: Guidelines for Establishing GPS-Derived Ellipsoid Heights (Standards: 2 cm and 5 cm), Version 4.3, NOAA Technical Memorandum NOS NGS-58, National Geodetic Survey Information Center, Silver Spring, MD 20910

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. Kiamehr.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kiamehr, R. A new height datum for Iran based on the combination of gravimetric and geometric geoid models. Acta Geod. Geoph. Hung 42, 69–81 (2007). https://doi.org/10.1556/AGeod.42.2007.1.4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1556/AGeod.42.2007.1.4

Keywords

Navigation