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Evaluation of GOCE/GRACE Global Geopotential Models over Greece with Collocated GPS/Levelling Observations and Local Gravity Data

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Gravity, Geoid and Height Systems

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

Abstract

The advent of the GOCE and GRACE missions during the last decade have brought new insights and promising results both in the static and time-variable representation of the Earth’s gravity field. The focus of this work is directed to the evaluation of most available Global Geopotential Models (GGMs) from GOCE and GRACE, both satellite only as well as combined ones. The evaluation is carried out over an extensive network of collocated GPS/Levelling benchmarks (BMs) which covers the entire part of continental Greece and with respect to the reductions the GGMs provide in existing gravity data in order to assess their performance in a scenario that a remove-compute-restore procedure would be followed for geoid determination. From the evaluation with GPS/Levelling BMs, it was concluded that the GOCE/GRACE GGMs provide an absolute accuracy at the 12–15 cm level, up to degree and order (d/o) 250, when considering the geoid omission error. This is comparable and in some cases better than the performance of EGM2008 in Greece. Moreover, the latest (Release 3) versions of the GGMs provide considerably better results compared to the earlier version by 1–5 cm. In terms of relative errors, GOCE/GRACE GGMs reach the 1 cm level for baselines between 50 and 60 km, while for longer ones, 80–90 km, their performance is analogous to the local geoid model and the ultra-high degree combined GGMs. Finally, GOCE/GRACE GGMs manage to provide the same, as EGM2008, level of reduction to the local gravity anomalies, with a std at the 26.7–27.8 mGal level, when evaluated up to d/o 250.

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References

  • Bruinsma SL et al (2010) GOCE gravity field recovery by means of the direct numerical method. Presented at the ESA living planet symposium, Bergen, Norway, 27 June–2 July

    Google Scholar 

  • Ekman M (1989) Impacts of geodynamic phenomena on systems for height and gravity. Bull Geod 63(3):281–296

    Article  Google Scholar 

  • Förste Ch et al (2011) EIGEN-6—a new combined global gravity field model including GOCE data from the collaboration of GFZ-Potsdam and GRGS-Toulouse. In: Geophysical Research Abstracts, vol 13, EGU General Assembly 2011, EGU2011-3242-2

    Google Scholar 

  • Förste C et al (2012) A preliminary update of the direct approach GOCE processing and a new release of EIGEN-6C. Presented at the AGU fall meeting, San Francisco, CA, 3–7 December 2012, Abstract No. G31B-0923

    Google Scholar 

  • Goiginger H et al. (2011) The combined satellite-only global gravity field model GOCO02S. In: Presented at the 2011 general assembly of the European Geosciences Union, Vienna, Austria, 4–8 April

    Google Scholar 

  • Gianniou M (2008) HEPOS: designing and implementing an RTK network. Geoinformatics 11(1):10–13

    Google Scholar 

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

    Book  Google Scholar 

  • Gruber T, Visser PNAM, Ackermann C, Hosse M (2011) Validation of GOCE gravity field models by means of orbit residuals and geoid comparisons. J Geod 85(11):845–860

    Article  Google Scholar 

  • Hashemi FH, 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(9):843–867. doi:10.1007/s00190-013-0650-3

  • 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(10):723–740

    Article  Google Scholar 

  • Kaula WM (1966) Theory of satellite geodesy. Dover, Mineola, NY

    Google Scholar 

  • Kotsakis C, Katsambalos K (2010) Quality analysis of global geopotential models at 1542 GPS/levelling benchmarks over the Hellenic mainland. Surv Rev 42(318):327–344

    Article  Google Scholar 

  • Mayer-Guerr T, Kurtenbach E, Eicker A (2010) The GRACE-only gravity field model ITG-Grace2010s. http://www.igg.uni-bonn.de/apmg/index.php?id=itg-grace2010

  • Migliaccio F, Reguzzoni M, Sansò F, Tscherning CC, Veicherts M (2010) GOCE data analysis: the space-wise approach and the first space-wise gravity field model. In: Proceedings of the ESA living planet symposium, Bergen, Norway, 28 June–2 July

    Google Scholar 

  • Pail R et al (2010) Combined satellite gravity field model GOCO01S derived from GOCE and GRACE. Geophys Res Lett 37, L20314. doi:10.1029/2010GL044906

    Article  Google Scholar 

  • Pail R et al (2011) First GOCE gravity field models derived by three different approaches. J Geod 85(11):819–843

    Article  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. doi:10.1029/2011JB008916

    Google Scholar 

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

    Google Scholar 

  • Tscherning CC, Rapp RH (1974) Closed covariance expressions for gravity anomalies, geoid undulations, and deflections of the vertical implied by anomaly degree-variance models. The Ohio State University, Reports of the Department of Geodetic Science, Report 208, Columbus, Ohiod

    Google Scholar 

  • Tziavos IN, Vergos GS, Grigoriadis VN (2010) Investigation of topographic reductions and aliasing effects to gravity and the geoid over Greece based on various digital terrain models. Surv Geophys 31(3): 23–67. doi:10.1007/s10712-009-9085-z

  • Tziavos IN, Vergos GS, Grigoriadis VN, Andritsanos VD (2012) Adjustment of collocated GPS, geoid and orthometric height observations in Greece. Geoid or orthometric height improvement? In: Kenyon S, Pacino C, Marti U (eds) Geodesy for planet Earth, international association of geodesy symposia, vol 136. Springer, Heidelberg, pp 481–488

    Google Scholar 

  • Tziavos IN, Vergos GS, Mertikas SP, Daskalakis A, Grigoriadis VN, Tripolitsiotis A (2013) The contribution of local gravimetric geoid models to the calibration of satellite altimetry data and an outlook of the latest GOCE GGM performance in GAVDOS. Adv Space Res 51(8):1502–1522. doi:10.1016/j.asr.2012.06.013

    Article  Google Scholar 

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Acknowledgements

The first three of the authors wish to acknowledge the funding provided for this work by the European Space Agency in the frame of the ESA-PRODEX GOCESeaComb project (C4000106380).

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Correspondence to G. S. Vergos .

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Vergos, G.S., Grigoriadis, V.N., Tziavos, I.N., Kotsakis, C. (2014). Evaluation of GOCE/GRACE Global Geopotential Models over Greece with Collocated GPS/Levelling Observations and Local Gravity Data. 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_11

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