The computation of the geoid model in the state of São Paulo using two methodologies and GOCE models

Guimarães, Gabriel do Nascimento; Blitzkow, Denizar; Barzaghi, Riccardo; Matos, Ana Cristina Oliveira Cancoro de

doi:10.1590/s1982-21702014000100012

Cited by 6 publications

(3 citation statements)

References 7 publications

(6 reference statements)

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“…The first surveys were carried out in the 1970s by institutions such as the Instituto de Astronomia, Geofísica e Ciências Atmosféricas of Universidade de São Paulo (IAG-USP), Observatório Nacional (ON), Petrobrás, and the Anglo-Brazilian Gravity Project, carried out in conjunction with the University of Leeds and the IBGE (Castro Junior et al, 2018). Years after, thematic project number 06/04008-2, of the Fundação de Amparo a Pesquisa do Estado de São Paulo (FAPESP) gravimetric densification surveys for the production of an advanced geoid model were carried out (Guimarães et al, 2014).…”

Section: Study Areamentioning

confidence: 99%

Computation and Analysis of Geopotential Number in São Paulo, Brazil

et al. 2022

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In recent decades, important steps have been taken to implement the physical concepts of Geodesy in practice, con- cerning height systems. Despite the difficulties involving gravity field modeling, with the establishment of conventions, standards, and computation strategies, the realization of the International Height Reference System (IHRS) is well underway. For a global system, there are constraints for some countries, especially for those with sparse gravity data, mountain regions, and vast areas. In terms of methodology, the computation can be performed directly using the Global Geopotential Models (GGM), recovering existing geoid models, or determining pointwise the gravity potential using integral formulas. In general, the regional gravity modeling is given by numerical integration or least-squares collocation and more recently adopting the spherical radial basis functions. The first approach allows determining the earth’s gravity component at a specific point and adjusting the integral formula according to the gravity coverage. Since so far there is no common sense about the best methodology, computation strategies are been analyzed. In this con- text, the paper aims to contribute to IHRF, computing the geopotential number in the scope of IHRF, using numerical integration to solve the Geodetic Boundary Value Problem and an existing recent quasi-geoid model in four stations in São Paulo state, Brazil. The first approach was performed considering two cases: a radius of 210 km and 110 km of gravimetric data coverage and the Global Geopotential Model GOCO05S truncated at 100 and 200, respectively. The results between solutions have shown a maximum difference of 94 cm, and a minimum difference of 10 cm.

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Section: Study Areamentioning

confidence: 99%

Computation and Analysis of Geopotential Number in São Paulo, Brazil

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“…The São Paulo geoid model, previously to the adoption of the normal height system, had an RMS difference of  14 cm to the GPS determinations on the levelling network (Guimarães et al 2014).…”

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confidence: 99%

The Geoid and Quasigeoid of São Paulo State Using the Updated Gravimetric Data and the 2018 BVRF

et al. 2021

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The combination of physical and geometric heights, required for geodetic purposes, uses Global Geopotential Models (GGMs), local geoid, or quasigeoid models. The geoid height and the height anomaly, provided by GGMs, are not accurate enough for most engineering applications. Considering the normal height system of Brazil and the physical concepts of the involved reference surfaces, a quasigeoid model is more appropriate than the current Brazilian geoid model MAPGEO2015. This paper shows the determination of the geoid and the quasigeoid models for São Paulo state using the updated gravimetric data and the new system of the normal height of the 2018 Brazilian Vertical Reference Frame (BVRF). The computation of the quasigeoid model was performed by numerical integration through the Fast Fourier Transform (FFT). The Molodensky gravity anomaly was determined in a 5’ grid and reduced and restored using the Residual Terrain Model (RTM) technique and the XGM2019e GGM truncated at degree and order 250 and 720. The geoid model was derived from the Bouguer gravity anomalies. The quasigeoid model validation has shown a Root Mean Square (RMS) difference of 18 cm compared with the Global Positioning System (GPS) measurements in the levelling network.

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“…Finally, the third model for this comparison is a local model, the GEOID-SP model (Guimarães et al, 2014) comparison, the one computed with the first methodology has been considered. The reference geopotential model is GO_CONS_GCF_2_DIR_R5 (Bruinsma, S. L. et al, 2013) up to degree and order 200.…”

Section: Comparison Of Geoids On Overlapped Areasmentioning

confidence: 99%

Open access to regional geoid models: the International Service for the Geoid

Reguzzoni¹,

Carrión²,

Gaetani³

et al. 2020

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Abstract. The International Service for the Geoid (ISG, https://www.isgeoid.polimi.it/ ) provides free access to a dedicated and comprehensive repository of geoid models through its website. In the archive, both the latest releases of the most important and well-known geoid models, as well as less recent or less known ones, are freely available, giving to the users a wide range of possible applications to perform analyses on the evolution of the geoid computation research field. ISG is an official service of the International Association of Geodesy (IAG), under the umbrella of the International Gravity Field Service (IGFS). Its main tasks are collecting, analysing and redistributing local, regional and continental geoid models and providing technical support to people involved in geoid-related topics for both educational and research purposes. In the framework of its activities, ISG performs research taking advantage of its archive and organizes seminars and specific training courses on geoid determination, supporting students and researchers in geodesy as well as distributing training material on the use of the most common algorithms for geoid estimation. This paper aims at describing the data and services, including the newly implemented DOI Service for geoid models (https://dataservices.gfz-potsdam.de/portal/?fq=subject:isg), and showing the added value of the ISG archive of geoid models for the scientific community and technicians, like engineers and surveyors (https://www.isgeoid.polimi.it/Geoid/reg_list.html).

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The computation of the geoid model in the state of São Paulo using two methodologies and GOCE models

Cited by 6 publications

References 7 publications

Computation and Analysis of Geopotential Number in São Paulo, Brazil

Computation and Analysis of Geopotential Number in São Paulo, Brazil

The Geoid and Quasigeoid of São Paulo State Using the Updated Gravimetric Data and the 2018 BVRF

Open access to regional geoid models: the International Service for the Geoid

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