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Comparison of GOCE Global Gravity Field Models to Test Fields in Southern Norway

  • Conference paper
Gravity, Geoid and Height Systems

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 141))

Abstract

Numerous global gravity field models (GGFMs) have resulted from the satellite gradiometry mission GOCE. Validation is indispensable to test the performance of the new-generation models. For this purpose independent datasets of terrestrial data are very often used.

In this study, homogenous datasets of free-air gravity anomalies and GNSS/leveling points have been collected in southern Norway. These datasets have been exploited for validation of four GOCE-derived GGFMs (DIR_r3, GOCO03s, TIM_r3, and DGM-1S) by the spectral enhancement method.

Numerical experiments have proven that the effect of the residual terrain model is important to free-air gravity anomalies but not to height anomalies. Validation of GOCE GGFMs has revealed that performance of these models is very similar. However, in comparison to EGM2008, we have observed 10 % increase of the standard deviation for the GOCE-derived models at d/o 210, 20 % increase at d/o 230, and up to 65 % increase at d/o 250. In addition, validation by GNSS/leveling data suggests significant improvements delivered by the GOCE GGFMs with respect to EGM2008 between d/o 100–200 in our test field.

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References

  • Ågren J, Svensson R (2007) Postglacial land uplift model and system definition for the new Swedish height system RH 2000. Reports in geodesy and geographical information systems, LMV-Rapport 2007:4, National Land Survey of Sweden, Gävle, Sweden, 124 p

    Google Scholar 

  • Berry PAM, Smith RG, Benveniste J (2010) ACE2: the new global digital elevation model. In: Mertikas SP (ed) Gravity, geoid and Earth observation, IAG symposia, vol 135, Chania, Greece, 23–27 June 2008, pp 231–238

    Google Scholar 

  • Bruinsma SL, Marty JC, Balmino G, Biancale R, Förste C, Abrikosov O, Neumayer H (2010) GOCE gravity field recovery by means of the direct numerical method. In: Proceedings of the ESA living planet symposium, Bergen, Norway, 28 June–2 July 2010

    Google Scholar 

  • ESA (1999) Gravity field and steady-state ocean circulation mission. Reports for Mission Selection, the Four Candidate Earth Explorer Core Missions, ESA SP-1233(1). ESA, Noordwijk

    Google Scholar 

  • Forsberg R (1984) A study of terrain reductions, density anomalies and geophysical inversion methods in gravity field modeling. Report No. 355. Department of Geodetic Science and Surveying, Ohio State University, Columbus, USA

    Google Scholar 

  • Gruber T, Visser PNAM, Ackermann C, Hosse M (2011) Validation of GOCE gravity field models by means of orbit residuals and geoid comparison. J Geod 85:845–860

    Article  Google Scholar 

  • Harsson BG (1978) Beregning av det norske gravimeterbasisnettet. In: Proceedings, NKG General Assembly, Oslo

    Google Scholar 

  • Hashemi Farahani H, Ditmar P, Klees R, Liu X, Zhao Q, Guo J (2013) The static gravity field model DGM-1S from GRACE and GOCE data: computation, validation and an analysis of GOCE mission's added value. J Geod 87:843–867

    Google Scholar 

  • Hirt C, Featherstone WE, Marti U (2010) Combining EGM2008 and SRTM/DTM2006.0 residual terrain model data to improve quasigeoid computations in mountainous areas devoid of gravity data. J Geod 84:557–567

    Article  Google Scholar 

  • Hirt C, Gruber T, Featherstone WE (2011) Evaluation of the first GOCE static gravity field models using terrestrial gravity, vertical deflections and EGM2008 quasigeoid heights. J Geod 85:723–740

    Article  Google Scholar 

  • Holmes SA, Featherstone WE (2002) A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalized associated Legendre functions. J Geod 76:279–299

    Article  Google Scholar 

  • Janák J, Pitoňák M (2011) Comparison and testing of GOCE global gravity models in central Europe. J Geodetic Sci 1:333–347

    Google Scholar 

  • Janák J, Šprlák M (2006) A new software for gravity field modelling (in Slovak). Geodetic and Cartographic Horizon, 52: 1–8

    Google Scholar 

  • Kadlec M (2011) Refining gravity field parameters by residual terrain modeling. Doctoral Thesis, Department of Mathematics, Faculty of Applied Sciences, University of West Bohemia, Pilsen, Czech Republic, 150 p

    Google Scholar 

  • Lysaker DI, Vestøl O (2012) Norwegian vertical reference system NN2000. Norwegian Mapping Authority, Hønefoss, Norway (in preparation)

    Google Scholar 

  • Mäkinen J, Ihde J (2008) The permanent tides in height systems. In: Sideris MG (ed) Observing our changing Earth, IAG symposia, vol 133, Perugia, Italy, 2–13 July 2007, pp 81–87

    Google Scholar 

  • Mayer-Gürr T, Rieser D, Höck E, Brockmann JM, Schuh WD, Krasbutter I, Kusche J, Maier A, Krauss S, Hausleitner W, Baur O, Jäggi A, Meyer U, Prange L, Pail R, Fecher T, Gruber T (2012) The new combined satellite only model GOCO03s. Abstract submitted to GGHS2012, Venice (Poster)

    Google Scholar 

  • Pail R, Bruinsma S, Migliaccio F, Förste C, Goiginger H, Schuh WD, Höck E, Reguzzoni M, Brockmann JM, Abrikosov O, Veicherts M, Fecher T, Mayrhofer R, Krasbutter I, Sansó F, Tscherning CC (2011) First GOCE gravity field models derived by three different approaches. J Geod 85:819–843

    Article  Google Scholar 

  • Pavlis NK, Factor JK, Holmes SA (2007) Terrain-related gravimetric quantities computed for the next EGM. In: Gravity field of the Earth, proceedings of the 1st international symposium of the international gravity field service, Harita Dergisi, Special Issue 18, Istanbul, Turkey, pp 318–323

    Google Scholar 

  • Pavlis NK, Holmes SA, Kenyon SC, Factor JK (2012) The development and evaluation of the Earth Gravitational Model 2008 (EGM2008). J Geophys Res 117: B04406, 38 pp. doi:10.1029/2011JB008916

  • Šprlák M, Gerlach C, Pettersen BR (2012) Validation of GOCE global gravity field models using terrestrial gravity data in Norway. J Geod Sci 2:134–143

    Google Scholar 

  • Tachikawa T, Hato M, Kaku M, Iwasaki A (2011) The characteristic of ASTER GDEM version 2. In: IEEE international geoscience and remote sensing symposium (IGARSS), Vancouver, Canada, 24–29 July, pp 3657–3660

    Google Scholar 

  • Wenzel HG (1985) Hochauflösende Kugelfunktionsmodelle für das Gravitationspotential der Erde. Wissenschaftliche Arbeiten der Fachrichtung Vermessungswesen der Universität Hannover, Nr. 137, Geodätisches Institut der Universität Hannover

    Google Scholar 

  • Wenzel HG (2005) Global models of the gravity field of high and ultra-high resolution. In: International school for the determination and use of the geoid, International Geoid Service, Budapest, Hungary, 31 January–5 February 2005, 36 p

    Google Scholar 

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Acknowledgements

The study is part of UMB’s Nova-GOCE project supported by the Norwegian Research Council under project number 197635 and is carried out in the framework of UMB’s ESA-category-1 project 4294 Application and Validation of GOCE and remote sensing data with focus on Northern latitudes.

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Correspondence to M. Šprlák .

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Šprlák, M., Pettersen, B.R., Omang, O.C.D., Lysaker, D.I., Sekowski, M., Dykowski, P. (2014). Comparison of GOCE Global Gravity Field Models to Test Fields in Southern Norway. In: Marti, U. (eds) Gravity, Geoid and Height Systems. International Association of Geodesy Symposia, vol 141. Springer, Cham. https://doi.org/10.1007/978-3-319-10837-7_8

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