Calculation of the Tide Correction Used in Gravimetry

Amarante, Rogério Rodrigues; Trabanco, Jorge Luiz Alves

doi:10.22564/rbgf.v34i2.793

Cited by 4 publications

(3 citation statements)

References 5 publications

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“…The observed gravity is calculated using the relative difference of the corrected device reading. The lunar-solar correction is a direct computation of the tidal potential following the formula proposed by Longman (1959) and developed by Gemael (2002) ; Amarante and Trabanco (2016) . The ocean tides exert a periodic overload on the ocean floor.…”

Section: Acquisition Data Quality and Processingmentioning

confidence: 99%

The new gravimetric network of the north-eastern part of Algeria

Bayou

Bouyahiaoui

Berguig

et al. 2022

Heliyon

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Section: Acquisition Data Quality and Processingmentioning

confidence: 99%

The new gravimetric network of the north-eastern part of Algeria

Bayou

Bouyahiaoui

Berguig

et al. 2022

Heliyon

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“…1994), which are part of the Mader method, integration radius up to 167 km, corresponding to ∼1.5° or 166.7 km of the Hayford-Bowie zone (Hayford and Bowie 1912), and height data, from the DEM, are used. We assume the value of 0.01 mGal as uncertainty for g at all stations, considering the resolution of the most used gravimeter type in Brazil and Latin America (Amarante and Trabanco 2016), the Lacoste & Romberg model G gravimeter. 3).…”

Section: H δHh N and N In The Context Of The Brazilian High Precision...mentioning

confidence: 99%

Orthometric, normal and geoid heights in the context of the Brazilian altimetric network

et al. 2022

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The extensive use of GNSS positioning, combined with the importance of precise geoid heights for transformation between geodetic and orthometric heights, brings up the discussion of the influence of data uncertainties and the use of variable density values on these estimates. In this sense, we analyze the influence of the topographic masses density distribution and the data uncertainty on the computation of orthometric and geoid heights in stations of the High Precision Altimetric Network of Brazil, considering the Helmert and Mader methods. For this, we use 569 stations whose values of geodetic and normal heights, gravity, and geopotential numbers are known. The results indicate that orthometric heights are more sensitive to density values and to greater heights than to the Helmert and Mader methods applied. Also, we verify that the normal and orthometric heights present significant differences for the analyzed stations, considering the high correlation between the heights, which provide small values of uncertainty. However, our analyses show that the use of the Mader method, along with variable density values, provides either more rigorous or more reliable results.

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“…Results of the computations made by LTide have been compared with control and test values at 10 stations obtained from Amarante (2012), Amarante and Trabanco (2016). Results of the comparison are summarized in Table 2.…”

Section: Comparison With Existing Softwarementioning

confidence: 99%

LTide - Matlab/Octave software tool for temporal and spatial analysis of tidal gravity acceleration effects according to Longman formulas

et al. 2019

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Tides have largest impact on gravity measurements compared to all other environmental effects. They are a direct result of the gravitational forces of the planetary bodies, mainly the Moon and the Sun. The magnitude of tidal effects depends on the relative position of planetary bodies around the Earth and can be computed from the astronomical ephemeris. In this paper, LTide software is presented, a lightweight application for computation of the tidal gravity acceleration effects according to Longman formulas. The software solves a problem of laborious calculations and simplifies the analysis of gravity data over any time period and any surveyed area worldwide. The code is open-sourced, platform independent, written in Matlab/Octave programming language. It has graphical user interface which offers several options for import, export and visualization of the results. The software is meant to be an easy-to-use tool for geoscientists and other users in processing relative gravity measurements and tempo-spatial analysis of tidal gravity effects.

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Calculation of the Tide Correction Used in Gravimetry

Cited by 4 publications

References 5 publications

The new gravimetric network of the north-eastern part of Algeria

The new gravimetric network of the north-eastern part of Algeria

Orthometric, normal and geoid heights in the context of the Brazilian altimetric network

LTide - Matlab/Octave software tool for temporal and spatial analysis of tidal gravity acceleration effects according to Longman formulas

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