scholarly journals ANALYSIS OF OCEAN TIDE LOADING ESTIMATED FROM THE GPS COORDINATE TIME SERIES: A CASE STUDY FOR THE BELÉM, BRASÍLIA, EUSÉBIO, MANAUS AND SANTA MARIA STATIONS, BRAZIL

2019 ◽  
Vol 37 (4) ◽  
pp. 565
Author(s):  
Giuliano Sant’Anna Marotta ◽  
Mário Alexandre De Abreu ◽  
Ana Cristina Oliveira Cancoro De Matos ◽  
João Francisco Galera Monico ◽  
George Sand Leão Araújo De França

ABSTRACT. The Earth suffers deformations due to the gravitational attraction of the celestial bodies and the redistribution of water mass occurring by the action of the ocean tide. These effects are known as solid Earth tide and ocean tide loading, and can be estimated by observations of the amplitudes and phases of their tidal wave constituents. Considering that GNSS observations may be used to estimate these effects and that the solid Earth tide displacement is well resolved, this work estimated and analyzed the amplitudes and phases of the 11 principal constituents of ocean tide loading, using GPS observations. The methodology was applied to data collected from five stations in Brazil, and the amplitudes and phases of the tidal constituents were estimated and evaluated regarding their values and convergence times. The results showed that most of the estimated parameters converged during the analyzed period. In addition, after correcting the effects of ocean tide loading in each GPS solution, using the computed parameters and the existing models, the coordinates were compared and the results presented some local differences, allowing to recommend the use of GPS to estimate tidal constituents considering the local behavior of the point.Keywords: GPS, ocean tide loading, tidal constituents.RESUMO. A Terra sofre deformações devido à atração gravitacional de corpos celestes e também em função da redistribuição de massa d’água que ocorre por ação da maré oceânica. Estes fenômenos são denominados maré terrestre e carga oceânica, e podem ser estimados por meio das amplitudes e fases das componentes de onda de maré. Considerando que as observações GNSS podem ser usadas na estimativa destes efeitos e que os deslocamentos devido à maré terrestre são teoricamente bem resolvidos, este trabalho estimou e analisou as amplitudes e fases das 11 componentes principais de carga oceânica, utilizando observações GPS. A metodologia foi aplicada a dados coletados em cinco estações instaladas no Brasil, e as amplitudes e fases para as componentes de maré foram estimadas e avaliadas, considerando seus valores e tempo de convergência. Os resultados mostraram que a maioria dos parâmetros estimados convergiu durante o período analisado. Além disso, após corrigir os efeitos de carga oceânica em cada solução GPS, utilizando os parâmetros calculados e os modelos existentes, as coordenadas corrigidas foram comparadas e os resultados apresentaram diferenças locais, permitindo recomendar o uso do GPS na estimativa de componentes de maré considerando o comportamento local do ponto.Palavras-chave: GPS, carga oceânica, componentes de maré.

1999 ◽  
Vol 44 (5) ◽  
pp. 459-461
Author(s):  
Bin Wu ◽  
Yaozhong Zhu ◽  
Bibo Peng

Weather ◽  
2018 ◽  
Vol 74 (10) ◽  
pp. 340-343
Author(s):  
D. D. Khandelwal ◽  
Naresh Kumar ◽  
Vishal Chauhan

Solid Earth ◽  
2020 ◽  
Vol 11 (5) ◽  
pp. 1849-1863
Author(s):  
Bogdan Matviichuk ◽  
Matt King ◽  
Christopher Watson

Abstract. Ground displacements due to ocean tide loading have previously been successfully observed using Global Positioning System (GPS) data, and such estimates for the principal lunar M2 constituent have been used to infer the rheology and structure of the asthenosphere. The GPS orbital repeat period is close to that of several other major tidal constituents (K1, K2, S2); thus, GPS estimates of ground displacement at these frequencies are subject to GPS systematic errors. We assess the addition of GLONASS (GLObal NAvigation Satellite System) to increase the accuracy and reliability of eight major ocean tide loading constituents: four semi-diurnal (M2, S2, N2, K2) and four diurnal constituents (K1, O1, P1, Q1). We revisit a previous GPS study, focusing on 21 sites in the UK and western Europe, expanding it with an assessment of GLONASS and GPS+GLONASS estimates. In the region, both GPS and GLONASS data have been abundant since 2010.0. We therefore focus on the period 2010.0–2014.0, a span considered long enough to reliably estimate the major constituents. Data were processed with a kinematic precise point positioning (PPP) strategy to produce site coordinate time series for each of three different modes: GPS, GLONASS and GPS+GLONASS. The GPS solution with ambiguities resolved was used as a baseline for performance assessment of the additional modes. GPS+GLONASS shows very close agreement with ambiguity resolved GPS for lunar constituents (M2, N2, O1, Q1) but with substantial differences for solar-related constituents (S2, K2, K1, P1), with solutions including GLONASS being generally closer to model estimates. While no single constellation mode performs best for all constituents and components, we propose to use a combination of constellation modes to recover tidal parameters: GPS+GLONASS for most constituents, except for K2 and K1 where GLONASS (north and up) and GPS with ambiguities resolved (east) perform best.


2019 ◽  
Vol 37 (1) ◽  
pp. 11
Author(s):  
Mário A. de Abreu ◽  
Giuliano S. Marotta ◽  
Lavoisiane Ferreira ◽  
Denizar Blitzkow ◽  
Ana C. O. C. de Matos ◽  
...  

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.


2021 ◽  
Vol 73 (1) ◽  
Author(s):  
Xiaowen You ◽  
Linguo Yuan

AbstractOcean tide loading (OTL) displacements are sensitive to the shallow structure of the solid Earth; hence, the high-resolution spatial pattern of OTL displacement can provide knowledge to constrain the shallow Earth structure, especially in coastal areas. In this study, we investigate the sensitivity of the modeled M2 OTL displacement over Taiwan Island to perturbations of three physical quantities, namely, the density, bulk modulus, and shear modulus in the upper mantle and crust. Then, we compare the sensitivity of the modeled M2 OTL displacement to Earth models with the sensitivity to ocean tide models using root mean square (RMS) differences. We compute the displacement Green’s function and OTL displacement relative to the center of mass of the solid Earth (CE) reference frame, analyze the sensitivity to the three physical quantities in the CRUST1.0 model and the Preliminary Reference Earth Model (PREM), and present their spatial patterns. We find that displacement Green’s functions and OTL displacements are more sensitive to the two elastic moduli than the density in the upper mantle and crust. Moreover, their distinctive sensitivity patterns suggest that the three physical quantities might be constrained independently. The specific relationships between the perturbed structural depths and the distance ranges of peak sensitivities from the observation points to the coastline revealed by the shear modulus can mitigate the nonuniqueness problem in inversion. In particular, the horizontal tidal components observed by the Global Positioning System (GPS) can yield better results in inversions than the vertical component owing to the smaller OTL model errors and the higher structural sensitivity (except for the shear modulus in the asthenosphere).


Nature ◽  
1981 ◽  
Vol 294 (5842) ◽  
pp. 615-618 ◽  
Author(s):  
S. R. McNutt ◽  
R. J. Beavan

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