Skip to main content

Improving the Quasigeoid Model in Colombia

  • Conference paper
Vertical Reference Systems

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 124))

  • 371 Accesses

Abstract

In 1998, the Colombian gravimetric geoid model GEOCOL98 was determined using the remove/restore technique. The local component was computed from Free Air anomalies processed by Stokes’ formula, and the global component was calculated from the EGM96 geopotential model. GEOCOL98 has been used in Colombia to derive “classical” heights referred to the Buenaventura Datum from GPS information. However, big discrepancies have been found in mountain areas between the undulations corresponding to the GPS heights combined with spirit leveling and those derived from the gravimetric model. In order to reduce these discrepancies and to enable the combination of GPS data with the existing leveling networks, a quasigeoid model (GEOCOL2001) was calculated using Molodensky’s theory. Terrestrial and aerial gravity data over land and satellite altimetry over the adjacent marine areas were used to estimate Faye anomalies. The obtained height anomalies are compared with the differences between GPS ellipsoidal heights and leveled heights in selected benchmarks. The results show smaller amplitudes in the residuals and an improved accuracy in the converted heights.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Forsberg, R. (1994). Terrain Effects in Geoid Computations. In: Lecture Notes, International School for the Determination and Use of the Geoid, International geoid service, Milan, Italy, October 10– 15.

    Google Scholar 

  • Heiskanen, W„ H. Moritz (1967). Physical Geodesy, Freeman, San Francisco, pp. 145, 31.

    Google Scholar 

  • Lemoine F., S. Kenyon, J. Factor, R. Trimmer, N. Pavlis, D. Chinn C. Cox, S. Kloslo, S. Luthcke, M. Torrence, Y. Wang, R. Williamson, E. Pavlis, R. Rapp, T. Olson (1998). The Development of the Joint NASA GSFC and the National Imagery and Mapping Agency (N1MA) Geopotential Model EGM96, NASA,Goddard Space Flight Center, Greenbelt.

    Google Scholar 

  • Moritz, H. (1980) Advanced Physical Geodesy, Wichmann, Karlsruhe, Part D.

    Google Scholar 

  • NOAA (1998). Data Announcement 88-MGG-02, Digital relief of the surface of the Earth, NOAA, National Geophysical Data Center, Boulder.

    Google Scholar 

  • Sánchez L., W. Martínez, J. Flôrez. (1999) Determinaciôn de un Geoide Gravimétrico para Colombia. In: Bulletin 9, Special Issue for South America, International Geoid Service, June

    Google Scholar 

  • Sánchez L., W. Martínez (1999) Vinculaciôn de alturas elipsoidales GPS al datum vertical clasico de Colombia. In: Bulletin 9, Special Issue for South America, International Geoid Service, June

    Google Scholar 

  • Sánchez, L., W. Martínez, (2002). Approach to the new vertical reference system for Colombia. In: Proceedings of IAG International Symposium on Vertical Reference Systems, Cartagena, Colombia, February 20–23.

    Google Scholar 

  • Sánchez L., W. Martínez, J. FlOrez, G. Obando, H. Esquivel, (1998). Mapa Gravimétrico de Colombia. IGACINGEOMINAS, D’Vinni, Bogota D. C.

    Google Scholar 

  • Sandwell, D., W. Smith, (1997). Marine Gravity Anomaly from Geosat and ERS 1 Satellite Altimetry. In: Journal of Geophysical Research, vol 103, no. B5, pp. 10039 —10054, May 10.

    Google Scholar 

  • Sideris, M (1994) Geoid Determination by FFT Techniques. In: Lecture Notes, International School for the Determination and Use of the Geoid, International geoid service, Milan, Italy, October 10 — 15.

    Google Scholar 

  • Smith, D., H. Small, (1999). The CARIB97 high resolution geoid height model for the Caribbean Sea in Journal of Geodesy, vol. 73, no. I, pp. 1–9.

    Google Scholar 

  • Torge, W (1989) Gravimetry, de Gruynter, Berlin pp. 88–91

    Google Scholar 

  • Véronneau, M (1996) The GSD95 Geoid Model for Canada Gravity, Geoid and Marine Geodesy. In: International Association of Geodesy Symposia, vol. 117, Springer, Berlin, pp. 573–580.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Martínez, W., Sánchez, L. (2002). Improving the Quasigeoid Model in Colombia. In: Drewes, H., Dodson, A.H., Fortes, L.P.S., Sánchez, L., Sandoval, P. (eds) Vertical Reference Systems. International Association of Geodesy Symposia, vol 124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04683-8_29

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-04683-8_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07701-2

  • Online ISBN: 978-3-662-04683-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics