Abstract
This paper describes the computation of a geoid model for the Amazon Basin (GEOAMA) limited by 5°N and 10°S in latitude and 70°W and 50°W in longitude. The software package SHGEO developed by the University of New Brunswick, Canada, was used for the calculation. The geoid model was derived by using the following data: digital terrain model SRTM3 (Shuttle Recovery Topography Mission) version 2.0 with 3” grid, the geopotential model EIGEN-GL04S1, degree and order 150, derived from GRACE satellite, and terrestrial gravity data basically observed along the rivers. For GEOAMA validation the longitudinal profiles of some rivers over the basin derived from three geoid models (EGM96, MAPGEO2004 and (EIGEN-GL04C) combined with geodetic heights from 28 GPS stations close to the tide gage stations were used. The results show that GEOAMA is in good agreement with the EGM96, MAPGEO2004 and EIGEN-GL04C profiles and with the average of the main rivers (Solimões and Amazonas) gradient (20 mm/km). MAPGEO2004 has been the official geoid model in Brazil since 2004. It was developed by Brazilian Institute of Geography and Statistics (IBGE) and Surveying and Geodesy Laboratory of the University of São Paulo (LTG/USP)
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Andersen, O. B. and Knudsen, P. (1998). Global Marine Gravity Field from the ERS-1 and GEOSAT Geodetic Mission Altimetry. Journal of Geophysical Research., 103(C4), 8129–8137
Campos, I.O. (2004). Referencial altimétrico para a Bacia do Rio Amazonas. PhD thesis - Escola Politécnica, Universidade de São Paulo, São Paulo, 112 p
Companhia de Pesquisa de Recursos Minerais (1999). Diagnóstico do Potencial Ecoturístico do Município de Monte Alegre. CPRM, Available online at: http://www.cprm.gov.br
Ellmann, A. (2005a). SHGEO software packages–An UNB application to Stokes-Helmert approach for precise geoid computation, reference manual I, 36 p
Ellmann, A. (2005b). SHGEO software packages–An UNB application to Stokes-Helmert approach for precise geoid computation, reference manual II, 43 p
Ellmann, A., P. Vaníček (2007). UNB application of Stokes-Helmert’s approach to geoid computation, Journal of Geodynamics, 43, 200–213
Farr, T. G., P. A. Rosen, E. Caro, R. Crippen, R. Duren, S. Hensley, M. Kobrick, M. Paller, E. Rodriguez, L. Roth, D. Seal, S. Shaffer, J. Shimada, J. Umland, M. Werner, M. Oskin, D. Burbank, D. Alsdorf (2007), The Shuttle Radar Topography Mission, Reviews of Geophysics, 45, RG2004, doi:10.1029/2005RG000183
Förste, Ch., F. Flechtner, R. Schmidt, R. König, U. Meyer, R. Stubenvoll, M. Rothacher, F. Barthelmes, H. Neumayer, R. Biancale, S. Bruinsma, J.M. Lemoine, S. Loyer, (2006). A mean global gravity field model from the combination of satellite mission and altimetry/gravimetry surface data – EIGEN-GL04C, Geophysical Research Abstracts, 8, 03462
Hasting, D.A., P.K Dunbar (1999). Global Land One-kilometer Base Elevation (GLOBE) Digital Elevation Model, Documentation, Volume 1.0. Key to Geophysical Records Documentation (KGRD) 34. National Oceanic and Atmospheric Administration, National Geophysical Data Center, 325 Broadway, Boulder, Colorado 80303, USA
Hensley, S., R. Munjy, P. Rosen (2001). Interferometric synthetic aperture radar. In: Maune, D. F. (Ed.). Digital Elevation Model Technologies Applications: the DEM Users Manual. Bethesda, Maryland: ASPRS (The Imaging & Geospatial Information Society), cap. 6, pp. 142–206
Heiskanen, W.A., H. Moritz, (1967). Physical Geodesy, W.H. Freeman, San Francisco, 364 pp
Instituto Brasileiro de Geografia e Estatistica (2004). Modelo de ondulação geoidal – programa MAPGEO2004. IBGE, Available online at: http://www.ibge.gov.br
Janák J., P. Vaníček, (2005). Mean free-air gravity anomalies in the mountains, Studia Geophysica et Geodaetica 49, pp. 31–42
JPL (2004). SRTM – The Mission to Map the World. Jet Propulsion Laboratory, California Inst. of Techn., http://www2.jpl.nasa.gov/srtm/index.html
Johnson, C.P., P.A.M. Berry, R.D. Hilton (2001). Report on ACE generation, Leicester, UK, http://www.cse.dmu.ac.uk/geomatics/ace/ACE_report.pdf
Kellogg, O.D., 1929. Foundations of Potential Theory. Springer, Berlin
Kosuth, P., A. Cazenave, (2002). Développement de l’altimétrie satellitaire radar pour le suivi hydrologique des plans d’eau continentaux: Application au réseau hydrographique de l’Amazone, rapport, project PNTS 00/0031/INSU, rapport d’activités 2000–2001, 2002, 39 p
Lemoine, F.G., N.K. Pavlis, S.C. Kenyon, R.H. Rapp, E.C. Pavlis, B.F. Chao (1998a). New high-resolution modle developed for Earth’ gravitational field EOS, Transactions, AGU, 79, 9, March 3, No 113, 117–118
Lemoine, F.G., S.C. Kenyon, J.K. Factor, R.G. Trimmer, N.K. Pavlis, D.S. Chinn, C.M. Cox, S.M. Klosko, S.B. Luthcke, M.H. Torrence, Y.M. Wang, R.G. Williamson, E.C. Pavlis, R.H. Rapp, T.R. Olson (1998b). The development of the joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) geopotential model EGM96, NASA/TP-1998-206861. National Aeronautics and Space Administration, Maryland, USA
Lobianco, M.C.B. (2005) Determinação das alturas do geóide no Brasil. PhD thesis – Escola Politécnica, Universidade de São Paulo, São Paulo, 160 p. http://www.teses.usp.br/teses/disponiveis/3/3138/tde-21022006-162205/
Lobianco, M.C.B., Blitzkow, A.C.O.C. Matos (2005). O novo modelo geoidal para o Brasil, IV Colóquio Brasileiro de Ciências Geodésicas, Curitiba, 16 a 20 de maio de 2005 (CDROM)
Martinec, Z., (1993). Effect of lateral density variations of topographical masses in view of improving geoid model accuracy over Canada. Final Report of the contract DSS No. 23244-2-4356. Geodetic Survey of Canada, Ottawa
Novák, P., (2000). Evaluation of gravity data for the Stokes–Helmert solution to the geodetic boundary-value problem. Technical Report No. 207, Department of Geodesy and Geomatics Engineering,. University of New Brunswick, Fredericton
Saleh, J., N.K. Pavlis (2002). The development and evaluation of the global digital terrain model DTM2002, 3rd Meeting of the International Gravity and Geoid Commission, Thessaloniki, Greece
Sun W., P. Vaníček, (1998). On some problems of the downward continuation of the 5’ × 5’ mean Helmert gravity disturbance, Journal of Geodesy 72, pp. 411–420
Vaníček, P., A. Kleusberg, (1987). The Canadian geoid-Stokesian approach. Manuscripta Geodaetica, 12(2), pp. 86–98
Vaníček, P., L.E. Sjöberg (1991), Reformulation of Stokes’s theory for higher than second-degree reference field and modification of integration kernels, Journal of Geophysical Research 96(B4), pp. 6339–6529
Vaníček, P., J. Huang, P. Novák, S.D. Pagiatakis, M. Véronneau, Z. Martinec, W.E. Featherstone, (1999). Determination of the boundary values for the Stokes–Helmert problem, Journal of Geodesy 73, pp. 160–192
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Blitzkow, D., Matos, A.d., Campos, I., Ellmann, A., Vaníček, P., Santos, M. (2009). An Attempt for an Amazon Geoid Model Using Helmert Gravity Anomaly. In: Sideris, M.G. (eds) Observing our Changing Earth. International Association of Geodesy Symposia, vol 133. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85426-5_22
Download citation
DOI: https://doi.org/10.1007/978-3-540-85426-5_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85425-8
Online ISBN: 978-3-540-85426-5
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)