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Tesseroids

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Journal Article
Journal: Geophysics
Published: 11 July 2016
Geophysics (2016) 81 (5): F41–F48.
...Leonardo Uieda; Valéria C. F. Barbosa; Carla Braitenberg ABSTRACT We have developed the open-source software Tesseroids , a set of command-line programs to perform forward modeling of gravitational fields in spherical coordinates. The software is implemented in the C programming language and uses...
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Adaptive discretization of the <span class="search-highlight">tesseroid</span> shown in panel (a) for a computati...
Published: 11 July 2016
Figure 3. Adaptive discretization of the tesseroid shown in panel (a) for a computation point P using the distance-size ratio D equal to (b) 1, (c) 2, and (d) 6; L r , L φ , and L λ are the dimensions of the tesseroid. Note that increasing D results
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View of a <span class="search-highlight">tesseroid</span>, the integration point     Q     inside the <span class="search-highlight">tesseroid</span>, ...
Published: 11 July 2016
Figure 1. View of a tesseroid, the integration point Q inside the tesseroid, a geocentric coordinate system ( X , Y , Z ), the computation P and it’s local coordinate system ( x , y , z ) ; r , φ , λ are the radius, latitude
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The maximum difference between the computed <span class="search-highlight">tesseroid</span> and shell effects as ...
Published: 11 July 2016
Figure 4. The maximum difference between the computed tesseroid and shell effects as a function of the distance-size ratio D for (a) the gravitational potential, (b)  g z , and (c)  g z z . The difference is given as a percentage of the shell effect. Curves correspond
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Difference between the computed      g   z  z       for the spherical shell...
Published: 11 July 2016
Figure 5. Difference between the computed g z z for the spherical shell and the tesseroid model at different heights. Curves show the maximum difference as a percentage of the shell value. The horizontal solid black line marks the established error threshold of 0.1%. A value
Journal Article
Journal: Geophysics
Published: 29 September 2021
Geophysics (2021) 86 (6): B369–B388.
... of Barthelmes (2013) . The Bouguer anomaly is calculated using the Etopo1 digital terrain model discretized in Tesseroids ( Uieda et al., 2016 ) of constant density of 2670 kg/m 3 up to the classical Hayford radius of 167 km ( Torge and Müller, 2012 ). The free-air anomaly (Figure  3a ) values change from...
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Example of the effect of varying the computation height and the number of p...
Published: 11 July 2016
) At 150 km height and GLQ order 2, the result resembles that of four point masses instead of a single tesseroid. This effect is shown by Ku (1977) . (c) At 150 km but with a higher GLQ order of 30. In panel (c), the horizontal locations of the point masses were not shown. Note that the results shown
Journal Article
Journal: Geophysics
Published: 02 September 2016
Geophysics (2016) 81 (5): 1SO–6SO.
... records to solve these problems. Uieda et al. present the C-coded open-source software Tesseroids for calculating the gravitational fields of spherical mass elements (tesseroids) using numerical integration and an improved adaptive discretization algorithm. The authors quantify the integration...
Journal Article
Journal: Geophysics
Published: 05 June 2015
Geophysics (2015) 80 (4): B83–B94.
.../summary? , accessed 11 November 2013 . Uieda L. Ussami N. Braitenberg C. , 2010 , Computation of the gravity gradient tensor due to topographic masses using tesseroids : Eos Transactions AGU, 91, Meeting of the Americas supplement , Abstract G22A–04. USGS , 2006 , Shuttle...
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Journal Article
Journal: Geophysics
Published: 30 March 2022
Geophysics (2022) 87 (3): G83–G96.
... the gravity effects of polyhedral bodies, in which a linearly varying density anomalous body and its relevant singularities are considered. Uieda et al. (2016) calculate the gravitational fields of tesseroids using the Gauss-Legendre quadrature (GLQ) method and an adaptive discretization algorithm...
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Journal Article
Journal: Geophysics
Published: 01 September 2016
Geophysics (2016) 81 (5): Z39–Z44.
... the Observatório Nacional, Brazil. Currently, he works as a professor of geophysics at the Universidade do Estado do Rio de Janeiro, Brazil. He is a member of the PINGA research group in geophysical inverse problems and the main developer of the open-source software projects Fatiando a Terra and Tesseroids. His...
Journal Article
Journal: Geophysics
Published: 09 September 2019
Geophysics (2019) 84 (5): J57–J67.
... a positive (+1) or negative (−1) correlation between the parameters to be estimated and the data misfit. Uieda and Barbosa (2017) extend the Gauss-Newton formulation of Bott’s (1960) method to use tesseroids as model elements and Tikhonov regularization to estimate the Moho depth for the South American...
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Journal Article
Journal: Geophysics
Published: 11 March 2019
Geophysics (2019) 84 (3): A31–A35.
... International , 214 , 2115 – 2132 , doi: http://dx.doi.org/10.1093/gji/ggy250 . GJINEA 0956-540X Du J. Chen C. Lesur V. Lane R. Wang H. , 2015 , Magnetic potential, vector and gradient tensor fields of a tesseroid in a geocentric spherical coordinate system : Geophysical...
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Journal Article
Published: 01 February 2017
Italian Journal of Geosciences (2017) 136 (1): 39–49.
... that the flexural response to mass changes is close to local compensation. We use our software Lithoflex ( http://www.lithoflex.org ) and Tesseroids ( http://tesseroids.le-ouieda.com/en/latest/ , U ieda et alii , 2011 ) for the calculations, which allows the flexural response calculations, the prism...
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Journal Article
Journal: Geophysics
Published: 20 November 2008
Geophysics (2008) 73 (6): WA95–WA104.
... permanent gravity stations : Master's thesis, Technical University of Denmark. Heck B. Seitz K. , 2007 , A comparison of the tesseroid, prism and point-mass approaches for mass reductions in gravity field modelling : Journal of Geodesy , 81 , 121 – 136 . Hinderer J. de Linage C...
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Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 07 February 2022
Lithosphere (2022) 2022 (1): 5596233.
... ] by following a tesseroid approach. The process details of this method can be found in the studies of [ 35 , 67 – 69 ]. The density values of 2.67 g/cm 3 and 1.63 g/cm 3 were used, respectively, for the topographic and bathymetric corrections. Figure 3 Free-air gravity anomaly map of the study area...
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Journal Article
Journal: Geophysics
Published: 16 May 2017
Geophysics (2017) 82 (4): G77–G86.
... with complex geometry in local gravity field modeling ( Nagy, 1966 ; Garcia-Abdeslem, 1992 ). Spherical prisms or “tesseroids” were used to approximate a regional-scale body by Roussel et al. (2015) . A vertical pyramid model was presented to the benefit of basin modeling by Gokula and Sastry (2015...
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Series: Geological Society, London, Special Publications
Published: 01 January 2011
DOI: 10.1144/SP357.18
EISBN: 9781862396050
... for discussions. We thank the Italian Space Agency (ASI) for supporting the GOCE-Italy project. The work was partially supported by PRIN contract 2008CR4455_003. We acknowledge the use of the GMT-mapping software of Wessel & Smith (1998) and the tesseroid forward calculation software developed by L. Uieda...
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