ANALYSIS OF THE PRINCIPAL CONSTITUENTS OF SOLID EARTH TIDES ESTIMATED WITH GRAVIMETRIC AND GNSS DATA IN MANAUS AND BRASÍLIA

ABSTRACT. Solid Earth tide is the periodic displacement due to the tidal force. This effect is present in all geodesic and geophysical observations and should be eliminated when high accuracy surveying is required. It is necessary to determine the amplitudes and phases of the harmonic constituents to estimate the terrestrial tide effect magnitude. This article presents a methodology for estimating and analyzing the amplitudes and phases of the solid Earth tide principal constituents from gravimetric/GNSS observations. The methodology was applied to data collected in the Manaus/AM and Brasília/DF stations, Brazil, to determine the amplitude and phase values for the long period, monthly, diurnal and semidiurnal constituents, besides determining the time required for the convergence of the estimated constituent values. The estimated amplitude and phase values, using gravimetric data, converged between the 2nd and 6th months of the time series. For the positioning observations, the constituents values converged between the 2nd and 17th month of the data series, except for the long period constituent, which requires a longer time series to obtain satisfactory values for both methods. The results show that the solid Earth tide constituents were better estimated by the gravimetric data compared to the positioning data considering the series analyzed.Keywords: gravimetry, GNSS, solid Earth tide, tidal constituents.RESUMO. Maré terrestre é o deslocamento periódico decorrente da força de maré. Este é um efeito que deve ser eliminado quando se deseja realizar levantamentos nos quais é necessária alta acurácia tanto em observações geodésicas quanto geofísicas. Para estimar o efeito de maré terrestre deve-se determinar as amplitudes e fases de suas componentes harmônicas. Este artigo apresenta uma metodologia para a estimativa das amplitudes e fases das principais componentes de maré terrestre, a partir de observações gravimétricas/GNSS. A metodologia foi aplicada a dados coletados em estações instaladas em Manaus/AM e Brasília/DF, Brasil, resultando na determinação dos valores de amplitude e fase para componentes de longo período, mensais, diurnas e semidiurnas, além da análise da convergência dos valores estimados para estas componentes. As amplitudes e fases calculadas, utilizando dados gravimétricos, convergiram entre o 2_ e o 6_ mês analisados, enquanto para os dados de posicionamento a convergência ocorreu entre o 2_ e o 17_ mês observado, com exceção da componente de longo período, que não pôde ser determinada em ambos os métodos. Para o período analisado, as componentes de maré terrestre foram melhor estimadas utilizando dados gravimétricos, se comparadas aos resultados obtidos com dados de posicionamento.Palavras-chave: gravimetria, GNSS, maré terrestre, componentes de maré.

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The impact of solid Earth-tide model error on tropospheric zenith delay estimates and GPS coordinate time series

Survey Review ◽

10.1080/00396265.2016.1277657 ◽

2017 ◽

Vol 50 (361) ◽

pp. 355-363

Author(s):

Fei Li ◽

Jintao Lei ◽

Shengkai Zhang ◽

Chao Ma ◽

Weifeng Hao ◽

...

Keyword(s):

Time Series ◽

Solid Earth ◽

Earth Tide ◽

Model Error ◽

Coordinate Time ◽

Zenith Delay ◽

Tropospheric Zenith Delay ◽

The Impact ◽

Gps Coordinate Time Series ◽

Solid Earth Tide

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Zero drift and solid Earth tide extracted from relative gravimetric data with principal component analysis

Geodesy and Geodynamics ◽

10.1016/j.geog.2015.01.006 ◽

2015 ◽

Vol 6 (2) ◽

pp. 143-150 ◽

Cited By ~ 5

Author(s):

Hongjuan Yu ◽

Jinyun Guo ◽

Jiulong Li ◽

Dapeng Mu ◽

Qiaoli Kong

Keyword(s):

Principal Component Analysis ◽

Solid Earth ◽

Earth Tide ◽

Principal Component ◽

Component Analysis ◽

Zero Drift ◽

Gravimetric Data ◽

Solid Earth Tide

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Effect of solid-earth-tide on GPS time series

Geodesy and Geodynamics ◽

10.3724/sp.j.1246.2010.00064 ◽

2010 ◽

Vol 1 (1) ◽

pp. 64-69 ◽

Cited By ~ 2

Author(s):

Haitao Yin ◽

Jie Li ◽

Pifeng Ma ◽

Shipeng Zhang ◽

Duan Xu

Keyword(s):

Time Series ◽

Solid Earth ◽

Earth Tide ◽

Gps Time Series ◽

Solid Earth Tide

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Impact of solid Earth tide models on GPS coordinate and tropospheric time series

Geophysical Research Letters ◽

10.1029/2005gl025538 ◽

2006 ◽

Vol 33 (8) ◽

Cited By ~ 35

Author(s):

C. Watson ◽

P. Tregoning ◽

R. Coleman

Keyword(s):

Time Series ◽

Solid Earth ◽

Earth Tide ◽

Solid Earth Tide

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Short-term tidal variations in UT1: compliance between modelling and observation

Proceedings of the International Astronomical Union ◽

10.1017/s1743921310008847 ◽

2009 ◽

Vol 5 (H15) ◽

pp. 215-215 ◽

Cited By ~ 1

Author(s):

Sigrid Englich ◽

Harald Schuh ◽

Robert Weber

Keyword(s):

Solid Earth ◽

Earth Tides ◽

Time Interval ◽

Observation Data ◽

Length Of Day ◽

Tidal Effects ◽

Short Term ◽

Solid Earth Tides ◽

Oceanic Tides ◽

Tidal Variations

AbstractThe Earth rotation rate and consequently universal time (UT1) and length of day (LOD) are periodically affected by solid Earth tides and oceanic tides. Solid Earth tides induce changes with periods from around 5 days to 18.6 years, with the largest amplitudes occurring at fortnightly, monthly, semi-annual and annual periods, and at 18.6 years. The principal variations caused by oceanic tides have diurnal and semi-diurnal periods. For the investigation of the tidal effects with periods of up to 35 days, UT1 series are estimated from VLBI observation data of the time interval 1984–2008. The amplitudes and phases of the terms of interest are calculated and the results for diurnal and sub-diurnal periods are compared and evaluated with tidal variations derived from a GNSS-based LOD time series of 8 months. The observed tidal signals are finally compared to the predicted tidal variations according to recent geophysical models.

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On the Influence of Diurnal and Subdiurnal Signals in the Normal Vector on Large Ring Laser Gyroscope Observations

Pure and Applied Geophysics ◽

10.1007/s00024-020-02484-2 ◽

2020 ◽

Vol 177 (9) ◽

pp. 4217-4228

Author(s):

Monika Tercjak ◽

André Gebauer ◽

Marcin Rajner ◽

Aleksander Brzeziński ◽

Karl Ulrich Schreiber

Keyword(s):

Solid Earth ◽

Ring Laser ◽

Earth Tides ◽

Love Numbers ◽

Ring Laser Gyroscope ◽

Solid Earth Tides ◽

Ocean Tidal Loading ◽

Tidal Loading ◽

Laser Gyroscope ◽

The Impact

Abstract The ring laser gyroscope (RLG) technique has been investigated for over 20 years as a potential complement to space geodetic techniques in measuring Earth rotation. However, RLGs are also sensitive to changes in their terrestrial orientation. Therefore in this paper, we review how the high-frequency band (i.e. signals shorter than 0.5 cycle per day) of the known phenomena causing site deformation contribute to the RLG observable, the Sagnac frequency. We study the impact of solid Earth tides, ocean tidal loading and non-tidal loading phenomena (atmospheric pressure loading and continental hydrosphere loading). Also, we evaluate the differences between available models of the phenomena and the importance of the Love numbers used in modeling the impact of solid Earth tides. Finally, we compare modeled variations in the instrument orientation with the ones observed with a tiltmeter. Our results prove that at the present accuracy of the RLG technique, solid Earth tides and ocean tidal loading effects have significant effect on RLG measurements, and continental hydrosphere loading can be actually neglected. Regarding the atmospheric loading model, its application might introduce some undesired signals. We also show that discrepancies arising from the use of different models can be neglected, and there is almost no impact arising from the use of different Love numbers. Finally, we discuss differences between data reduced with tiltmeter observations and these reduced with modeled signal, and potential causes of this discrepancies.

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On Investigations of the Tidal Waves Mf and Mm

Symposium - International Astronomical Union ◽

10.1017/s007418090003641x ◽

1979 ◽

Vol 82 ◽

pp. 315-316

Author(s):

G. P. Pil'nik

Keyword(s):

Solid Earth ◽

Elastic Properties ◽

Earth Tides ◽

Love Number ◽

Astronomical Observations ◽

Tidal Waves ◽

The Earth ◽

Astronomical Time ◽

Solid Earth Tides

The comparison of astronomical time observations with the theory of solid-Earth tides makes it possible to determine the Love number, k, which characterizes the elastic properties of the Earth. In addition, the comparison of values of k determined from different tidal waves allows us to judge the accuracy of the nutational theory in astronomical observations since both tides and the Earth's nutation are produced by the same causes.

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On the Adoption of Empirical Corrections to Woolard's Nutation Theory

Symposium - International Astronomical Union ◽

10.1017/s0074180900031909 ◽

1980 ◽

Vol 78 ◽

pp. 117-124 ◽

Cited By ~ 1

Author(s):

D. D. McCarthy ◽

P. K. Seidelmann ◽

T. C. Van Flandern

Keyword(s):

Solid Earth ◽

Earth Tides ◽

Earth Model ◽

Working Standard ◽

Astronomical Observations ◽

International Astronomical ◽

Solid Earth Tides ◽

Rigid Earth ◽

Empirical Corrections

Commission 4 of the International Astronomical Union has deferred the question of revisions to the constants and theory of nutation in anticipation that there might be recommendations from Symposium No. 78 in Kiev. The present rigid-Earth theory of nutation does not adequately represent current precise astronomical observations for the major nutation terms. Discrepancies between the presently adopted theory and observations can accumulate to 0″1 in right ascension and significantly affect the determination of UT1 and materially influence the derivation of the new fundamental catalog of star positions and proper motions, FK5 There appears to be no obvious choice for a non-rigid-Earth model at present. The analysis of solid-Earth tides shows nutation coefficients in substantial agreement with astronomical observations and these values have been used in the reduction of radio interferometric and laser ranging observations. In the absence of a non-rigid-Earth model which can satisfy all requirements it is suggested that the coefficients found from the investigation of solid-Earth tides be adopted as a working standard until such a model can be adopted as a basis for nutation.

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Viscoelasticity of the lower mantle from forward modeling of normal modes and solid Earth tides

10.5194/egusphere-egu2020-10789 ◽

2020 ◽

Author(s):

Ulrich Faul ◽

Harriet Lau

Keyword(s):

Absorption Band ◽

Solid Earth ◽

Lower Mantle ◽

Normal Modes ◽

Earth Tides ◽

Solid Earth Tides ◽

Anelastic Behavior ◽

Body Tides ◽

Anelastic Deformation ◽

Intrinsic Dissipation

Grain scale diffusive processes are involved in the rheology at convective timescales, but also at the transient timescales of seismic wave propagation, solid Earth tides and post-glacial rebound. Seismic and geodetic data can therefore potentially provide constraints on lower mantle properties such as grain size that are unconstrained otherwise. Current models of the transient viscosity of the lower mantle infer an absorption band of finite width in frequency. Seismic models predict a low frequency end to the absorption band at timescales corresponding to the longest normal modes of about an hour. By contrast, geodetic models infer the onset of an absorption band at these frequencies to cover anelastic deformation at timescales up to 18.6 years. A difficulty in extracting frequency dependence from mode and tide data is its convolution with depth dependence.To circumvent this problem we select a distinct set of seismic normal modes and solid Earth body tides that have similar depth sensitivity in the lower mantle. These processes collectively span a period range from 7 minutes to 18.6 years. This allows the examination of frequency dependent energy dissipation over the lower mantle across 6 orders of magnitude. To forward model the transient creep response of the lower mantle we use a laboratory-based model of intrinsic dissipation that we adapt to the lower mantle mineralogy. This extended Burgers model represents an empirical fit to data principally from olivine, but also MgO and other compounds. The underlying microphysical model envisions a sequence of processes that begin with a broad plateau in dissipation at the highest frequencies after the onset of anelastic behavior, followed by a broad absorption band spanning many decades in frequency. The absorption band transitions seamlessly into viscous behavior. Since dissipation both for the absorption band and for (Newtonian) viscous behavior is due to diffusion along grain boundaries there can be no gap between the end of the absorption band and onset of viscous behavior.Modeling of the planetary response to small strain excitation necessitates consideration of inertia and self gravitation. The phase lag due to solid Earth body tides therefore does not correspond directly to the intrinsic dissipation measured in the laboratory as material property. We have developed a self consistent theory that combines the planetary response with time-dependent anelastic deformation of rocks. Results from a broad range of forward models show that at lower mantle pressures periods of modes fall onto the broad plateau in dissipation at the onset of anelastic behavior. This explains the apparent frequency independence or even negative frequency dependence observed for some normal modes. At longer timescales, solid Earth tides fall on the frequency-dependent absorption band. This reconciles seemingly contradictory results published by seismic and tidal studies. Observations at even longer timescales are needed to constrain the transition from absorption band to viscous behavior.

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