Skip to main content

The Use of GNSS/Levelling and Gravity Data for the Spanish Height System Unification

  • Conference paper
  • First Online:
International Symposium on Gravity, Geoid and Height Systems 2016

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 148))

  • 559 Accesses

Abstract

From 2001 to 2008, the National Geographic Institute of Spain (IGN) carried out the REDNAP project to the establishment of a National High Precision Levelling Network in the whole Spanish territory. Within REDNAP, spirit levelling and gravity observations were complemented by GNSS data. The levelling network of the continental area and those of the main islands were referred to different tide gauges thus producing different height systems. In the paper, the GOCO-05S model from the GRACE and GOCE gravity missions is used to unify such systems. More precisely, it is used to estimate the normal heights of the mean sea level at the reference tide gauges, i.e. the height system biases. In the proposed solution such biases are determined through the least squares adjustment of the differences between height anomalies derived from GNSS/levelling and height anomalies derived from a proper combination of global gravity models. An accurate modelling of the observation error covariances is taken into account as well. The estimated accuracies of the resulting biases are in the order of few centimetres apart from that of continental Spain which is an order of magnitude better.

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

Access this chapter

Institutional subscriptions

References

  • Baarda W (1968) A testing procedure for use in geodetic networks. Publications on Geodesy, vol 2, Issue 5. Netherlands Geodetic Commission, Delft, The Netherlands

    Google Scholar 

  • Barzaghi R, Carrion D, Reguzzoni M, Venuti G (2015) A feasibility study on the unification of the Italian height systems using GNSS-leveling data and global satellite gravity models. In: International Association of Geodesy Symposia, vol 143, pp 281–288

    Google Scholar 

  • Betti B, Carrion D, Sacerdote F, Venuti G (2015) The observation equation of spirit leveling in Molodensky’s context. In: International Association of Geodesy Symposia, vol 142, pp 213–219

    Google Scholar 

  • Brockmann JM, Zehentner N, Höck E, Pail R, Loth I, Mayer-Gürr T, Schuh W-D (2014) EGM_TIM_RL05: an independent geoid with centimeter accuracy purely based on the GOCE mission. Geophys Res Lett 41(22):pp 8089–8099

    Article  Google Scholar 

  • Förste C, Bruinsma SL, Abrikosov O, Lemoine JM, Schaller T, Götze HJ, Ebbing J, Marty JC, Flechtner F, Balmino G, Biancale R (2014) EIGEN-6C4: the latest combined global gravity field model including GOCE data up to degree and order 2190 of GFZ Potsdam and GRGS Toulouse. In: 5th GOCE User Workshop, Paris, 25–28 November 2014

    Google Scholar 

  • Gatti A, Reguzzoni M, Sansò F, Venuti G (2013) The height datum problem and the role of satellite gravity models. J Geod 87(1): 15–22

    Article  Google Scholar 

  • Gerlach C, Fecher T (2012) Approximations of the GOCE error variance-covariance matrix for least-squares estimation of height datum offsets. J Geod Sci 2(4):247–256

    Google Scholar 

  • Gerlach C, Rummel R (2013) Global height system unification with GOCE: a simulation study on the indirect bias term in the GBVP approach. J Geod 87(1):57–67

    Article  Google Scholar 

  • Gilardoni M, Reguzzoni M, Sampietro D, Sansò F (2013) Combining EGM2008 with GOCE gravity models. Boll Geofis Teor Appl 54(4):285–302

    Google Scholar 

  • Gilardoni M, Reguzzoni M, Sampietro D (2016) GECO: a global gravity model by locally combining GOCE data and EGM2008. Stud Geophys Geod 60(2):228–247

    Article  Google Scholar 

  • Heiskanen WA, Moritz H (1967) Physical geodesy. W.H. Freeman, San Francisco

    Google Scholar 

  • Ihde J, Barzaghi R, Marti U, Sánchez L, Sideris M, Drewes H, Förste C, Gruber T, Liebsch G, Pail R (2015) Report of the Ad-hoc Group on an International Height Reference System (IHRS). In: Drewes H, Hornik H (Eds.) Travaux de l’AIG 39, IAG Reports 2011–2015

    Google Scholar 

  • Koch KR (1987) Parameter estimation and hypothesis testing in linear models. Springer, Berlin-Heidelberg.

    Google Scholar 

  • Kotsakis C, Katsambalos K, Ampatzidis D (2012) Estimation of the zero-height geopotential level W 0 LVD in a local vertical datum from the inversion of co-located GPS, leveling and geoid heights: a case study in the Hellenic islands. J Geod 86(6):423–439

    Article  Google Scholar 

  • Mayer-Gürr T, Zehentner N, Klinger B, Kvas A (2014) ITSG-Grace2014: a new GRACE gravity field release computed in Graz. In: GRACE Science Team Meeting (GSTM), Potsdam, 29 September 2014

    Google Scholar 

  • Mayer-Gürr T, Pail R, Gruber T, Fecher T, Rexer M, Schuh W-D, Kusche J, Brockmann JM, Rieser D, Zehentner N, Kvas A, Klinger B, Baur O, Höck E, Krauss S, Jäggi A (2015) The combined satellite gravity field model GOCO05s. Presentation at EGU 2015, Vienna, April 2015

    Google Scholar 

  • Pavlis NA, Holmes SA, Kenyon SC, Factor JK (2012) The development and evaluation of the Earth Gravitational Model 2008 (EGM2008). J Geophys Res Solid Earth 117(B16):4406

    Article  Google Scholar 

  • Quirós R, Barbadillo A, Regidor J, Sanz M, Rodríguez E (2011) Regente Project. National Report of Spain. Euref 2011 Symposium, Dubrovnik, 15–20 May 2011

    Google Scholar 

  • Rülke A, Liebsch G, Sacher M, Schäfer U, Schirmer U, Ihde J (2012) Unification of European height system realizations. J Geod Sci 2(4):343–354

    Google Scholar 

  • Rülke A, Liebsch G, Sacher M, Schäfer U, Ihde J, Woodworth PL (2015) Practical aspects of the unification of height system realizations in Europe. In: International Association of Geodesy Symposia, vol 143, pp 367–373

    Google Scholar 

  • Rummel R (2012) Height unification using GOCE. J Geod Sci 2(4):355–362

    Google Scholar 

  • Rummel R, Teunissen P (1988) Height datum definition, height datum connection and the role of the geodetic boundary value problem. Bull Géod 62(4):477–498

    Article  Google Scholar 

  • Sideris MG, Rangelova E, Amjadiparvar B (2014) First results on height system unification in North America using GOCE. In: International Association of Geodesy Symposia, vol 141, pp 221–227

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank Dr. J. M. Brockmann for providing us the error covariance matrix of the GOCO-05S model in MATLAB format. This research has been funded by the University of Jaén by means of the project with reference UJA2016/08/14.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. Venuti .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Reguzzoni, M. et al. (2017). The Use of GNSS/Levelling and Gravity Data for the Spanish Height System Unification. In: Vergos, G., Pail, R., Barzaghi, R. (eds) International Symposium on Gravity, Geoid and Height Systems 2016. International Association of Geodesy Symposia, vol 148. Springer, Cham. https://doi.org/10.1007/1345_2017_14

Download citation

Publish with us

Policies and ethics