Abstract
Due to the challenge that the Amazon Basin imposes for traditional geodetic surveys, the Brazilian Fundamental Vertical Network (BFVN) is materialized in two independent parts: the southern segment is linked to the Imbituba tide gauge and the northern part is linked to the Santana tide gauge. The mouth of the Amazon River and its surrounding wetlands generate a large area without access for spirit levelling and conventional gravimetry. There is a minimum distance of about 330 km between the nearest bench marks of the two above mentioned vertical networks. Nowadays, satellite gravity missions such as CHAMP, GRACE and GOCE make it possible to explore new solutions based on Global Geopotential Models (GGMs) obtained from satellite data only. Digital Elevation Models (DEMs) allow an improvement in the spectral resolution of the GGMs based on Residual Terrain Modelling (RTM). Such an approach is an alternative to filling the information gaps in the GGMs by reducing omission errors. The spectral improvement of the GGMs allows us to integrate the vertical datums in a more realistic way, and with a reduction of terrestrial gravity dependency. In this study, two alternatives to the indirect connection of the BFVN are analyzed. A solution is based on a combination of GGM satellite-only data from the GOCE mission and the spectral contribution of the RTM. The other solution is based on the integration of information from GOCE GGM, EGM2008 and the RTM effect. The offset obtained shows that the Imbituba datum is located 1.32 and 1.43 m below the Santana datum for the solutions GGMGOCE+RTM and GGMGOCE+EGM2008+RTM respectively.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abd-Elmotaal HA, Kühtreiber N (2003) Geoid determination using adapted reference field, seismic Moho depths and variable density contrast. J Geod 77:77–85
Becker JJ, Sandwell DT, Smith WHF, Braud J, Binder B, Depner J, Fabre D, Factor J, Ingalls S, Kim S-H, Ladner R, Marks K, Nelson S, Pharaoh A, Trimmer R, Von Rosenberg J, Wallace G, Weatherall P (2009) Global bathymetry and elevation data at 30 arc seconds resolution: SRTM30_PLUS. Mar Geod 32(4):355–371
Bursa M, Kouba J, Muller A, Radej K, True SA, Vatrt V, Vojtiskova M (2001) Determination of geopotential differences between local vertical datums and realization of a world height system. Stud Geophys Geodaetica 45(2):127–132
Dahl OC, Forsberg R (1998) Geoid models around Sognefjord using depth data. J Geod 72(9):547–556
Daho SAB, Mendas A, Fairhead JD, Derkaoui A (2009) Impact of the new GRACE geopotential model and SRTM data on the geoid modelling in Algeria. J Geodyn 47(2–3):63–71
Featherstone WE (2002) Vertical reference systems. In: Drewes P, Dodson A, Fortes LP, Sanchez L, Sandoval P (eds) Attempts to unify the Australian height datum between the mainland and Tasmania. IAG symposia, vol 124. Springer, Berlin, pp 1–6
Flury J (2006) Short-wavelength spectral properties of the gravity field from a range of regional data sets. J Geod 79(10–11):624–640
Flury J, Rummel R (2004) Future satellite gravimetry for geodesy. Earth Moon Planets 94(1–2):13–29
Forsberg R (1984) A study of terrain reductions, density anomalies and geophysical inversion methods in gravity field modelling. Rep. 355. Dept. of Geod. Sci. and Surv., Ohio State Univ., Columbus
Forsberg R (1993) Modeling the fine-structure of the geoid-methods, data requirements and some results. Surv Geophys 14(4–5):403–418
Forsberg R, Tscherning C (1981) The use of height data in gravity field approximation by collocation. J Geophys Res 86(B9):7843–7854
Fotopoulos G, Kotsakis C, Sideris MG (2003) How accurately can we determine orthometric heights from GPS and geoid data? J Surv Eng 129(1):1–10
Ferreira V, de Freitas SRC, Heck B (2011) A separação entre o geoide e o quase geoide: uma analise no contexto Brasileiro. Revista Brasileira de Cartografia. No. 63. Edição Especial 40 Anos
Gruber T (2009) Evaluation of the EGM2008 gravity field by means of GPS-leveling and sea surface topography solutions: external evaluation reports of EGM08. Newton’s Bull 4:3–17
Heck B, Rummel R (1989) Strategies for solving the vertical datum problem using terrestrial and satellite geodetic data. Sea surface topography and the geoid. Springer, Berlin, pp 116–128
Heiskanen WH, Moritz H (1967) Physical geodesy. W. H. Freeman and Co., San Francisco
Hirt C, Featherstone WE, Marti M (2010a) 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
Hirt C (2010) Prediction of vertical deflections from high-degree spherical harmonic synthesis and residual terrain model data. J Geod 84:179–190
Hirt C, Marti U, Bürki B, Featherstone WE (2010b) Assessment of EGM2008 in Europe using accurate astrogeodetic vertical deflections and omission error estimates from SRTM/DTM2006.0 residual terrain model data. J Geophys Res 115:B10404
Kiamehr J, Sjöberg LE (2005) Effect of the SRTM global DEM on the determination of a high-resolution geoid model: a case study in Iran. J Geod 79:540–551
Kotsakis C, Sideris MG (1999) On the adjustment of combined GPS/levelling/geoid networks. J Geod 73:412–421
Lysaker DI, Omang OCD, Pettersen BR, Solheim D (2007) Quasigeoid evaluation with improved leveled height data for Norway. J Geod 81:617–627
Luz RT, de Freitas SRC, Heck B, Bosch W (2009) Challenges and first results towards the realization of a consistent height system in Brazil. In: International IAG/FIG symposium GRF2009, Geodetic reference frames, Munich
Martin A, Anquela AB, Padin J, Berne JL (2010) Ability of the EGM2008 high degree geopotential model to calculate a local geoid model in Valencia, Eastern Spain. Stud Geophys Geodaetica 54(3):347–366
Newton’s Bulletin (2009) Newton’s bulletin issue n°4, April 2009. Publication of the International Association of Geodesy and International Gravity Field Service, ISSN 1810-8555
Pavlis NK, Factor JK, Holmes SA (2007) Terrain-related gravimetric quantities computed for the next EGM. In: Proc. of the 1st international symposium of the International Gravity Field Service (IGFS), Harita Dergisi, Istanbul, pp 318–323 (special issue 18)
Pavlis NK, Holmes SA, Kenyon SC, Factor JK (2008) An Earth gravitational model to degree 2160: EGM2008. Presented at the 2008 general assembly of the European Geoscience Union, Vienna, 13–18 April
Rummel R, Teunissen P (1988) Height datum definition, height datum connection and the role of the geodetic boundary value problem. Bull Géod 62:477–498
Rummel R (2000) Global integrated geodetic and geodynamic observing system (GIGGOS). In: Rummel R, Drewes H, Bosch W, Hornik H (eds) Towards an integrated global geodetic observing system (IGGOS), IAG symposia, vol 120. Springer, Berlin, pp 253–260
Schrama EJO (2003) Error characteristics estimated from CHAMP, GRACE and GOCE derived geoids and from satellite altimetry derived mean dynamic topography. Space Sci Rev 108(1–2):179–193
Sideris MG, Rangelova E, Rummel R, Gerlach C, Gruber T, Woodworth P, Hughes C, Ihde J, Liebsch G (2011) World height system unification and GOCE. In: 2011 IUGG general assembly, Melbourne, 28 June–7 July
Tscherning CC (2001) Geoid determination after the first satellite gravity missions. Festschrift Univ. Prof. em. Dr.-Ing. Wolfgang Torge zum 70. Geburtstag. Wiss. Arb. Fachr. Verm. wesen Univ. Hannover, Nr. 241, pp 11–24
Vanícek P, Krakiwsky EJ (1986) Geodesy: the concepts. North Holland, Amsterdam
Voigt C, Rülke A, Denker H, Ihde J, Liebsch G (2010) Validation of GOCE products by terrestrial data sets in Germany. Geotechnologien Science Rep. 17, Observation of the system Earth from space, Status seminar, 04 October
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Montecino, H.D., de Freitas, S.R.C. (2014). Strategies for Connecting Imbituba and Santana Brazilian Datums Based on Satellite Gravimetry and Residual Terrain Model. In: Rizos, C., Willis, P. (eds) Earth on the Edge: Science for a Sustainable Planet. International Association of Geodesy Symposia, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37222-3_72
Download citation
DOI: https://doi.org/10.1007/978-3-642-37222-3_72
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37221-6
Online ISBN: 978-3-642-37222-3
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)