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Regional Models

São Paulo State - Brazil (GEOID-SP)


  Authors: V.C. Silva, et al.   Created: 2020    Resp: V.C. Silva
                       Status: PUBLIC   Licence: CC BY 4.0
Description:
The geoid and quasi-geoid models of São Paulo were computed using the updated and filtered gravimetric data and the new system of the normal height of the 2018 Brazilian Vertical Reference Frame (BVRF). For the ocean area, gravity anomalies of the DTU13 model with a resolution of 1’ were used. To quantify the terrain effects through the Residual Terrain Model procedure, the SRTM15+ DTM was used. The computation of the quasi-geoid model was performed by numerical integration through the Fast Fourier Transform (FFT). The Molodensky gravity anomaly was determined in a 5’x5’ grid and reduced and restored using the Residual Terrain Model (RTM) technique and the XGM2019e global gravity model truncated at degree and order 250 and 720. The geoid model was derived from the Bouguer gravity anomalies. The zero-order degree term was added in the final computation. The validation for the quasi-geoid model based on 291 GPS measurements in the leveling network has shown 18 cm RMS difference. In the original file, the data are stored in ASCII format, the first column is the index, the second is the longitude, the third is the latitude, and the latter is the geoid undulation for the geoid or height anomaly for quasi-geoid models.

Model Citations:
V.C. Silva, F.G.V. de Almeida Filho, D. Blitzkow, A.C.O.C. de Matos (2020). The gravimetric quasi-geoid of São Paulo State: QGEOID-SP-2020-GGM250. V. 1.0. GFZ Data Services. DOI: 10.5880/isg.2020.007

V.C. Silva, F.G.V. de Almeida Filho, D. Blitzkow, A.C.O.C. de Matos (2020). The gravimetric geoid of São Paulo State: GEOID-SP-2020-GGM250. V. 1.0. GFZ Data Services. DOI: 10.5880/isg.2020.008

V.C. Silva, F.G.V. de Almeida Filho, D. Blitzkow, A.C.O.C. de Matos (2020). The gravimetric quasi-geoid of São Paulo State: QGEOID-SP-2020-GGM720. V. 1.0. GFZ Data Services. DOI: 10.5880/isg.2020.009

V.C. Silva, F.G.V. de Almeida Filho, D. Blitzkow, A.C.O.C. de Matos (2020). The gravimetric geoid of São Paulo State: GEOID-SP-2020-GGM720. V. 1.0. GFZ Data Services. DOI: 10.5880/isg.2020.010

Reference:
V.C. Silva, F.G.V. Almeida Filho, D. Blitzkow, A.C.O.C. de Matos (2021). The geoid and quasigeoid of São Paulo State using the updated gravimetric data and the 2018 BVRF. Boletim de Ciências Geodésicas, 27(2). DOI: 10.1590/1982-2170-2020-0061

Digital object identifier:
DOI: 10.5880/isg.2020.007 (quasi-geoid with XGM2019e-250 in ISG format)
DOI: 10.5880/isg.2020.008 (geoid with XGM2019e-250 in ISG format)
DOI: 10.5880/isg.2020.009 (quasi-geoid with XGM2019e-720 in ISG format)
DOI: 10.5880/isg.2020.010 (geoid with XGM2019e-720 in ISG format)

Brazil