Investigation of Geoid Height Variations and Vertical Displacements of the Earth Surface in the Context of the Realization of a Modern Vertical Reference System: A Case Study for Poland

Godah, Walyeldeen; Szelachowska, Malgorzata; Krynski, Jan

doi:10.1007/1345_2017_15

Cited by 3 publications

(6 citation statements)

References 11 publications

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“…The comparison between DN (PCA/EOF) and models of temporal variations of geoid heights presented in Godah et al (2017a) indicated that when using the PCA/EOF method for modelling temporal variations of geoid heights, the dispersion and the standard deviation of the differences can be reduced by 0.3-0.5 mm and 0.1-0.2 mm, respectively. Furthermore, the correlation coefficients between DN (GGM) and DN (PCA/EOF) are *1.1% higher than the corresponding ones indicated in Godah et al (2017b). This may reveal that the PCA/EOF method is slightly better than the seasonal decomposition method for modelling temporal variations of geoid heights over the area investigated.…”

Section: Modelling Of Temporal Geoid Height Variationsmentioning

confidence: 70%

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Application of the PCA/EOF method for the analysis and modelling of temporal variations of geoid heights over Poland

2017

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Temporal variations of geoid heights are vitally important in geodesy and Earth science. They are essentially needed for dynamic and kinematic updates of the static geoid model. These temporal variations, which substantially differ for different geographic locations, can successfully be determined using the Gravity Recovery And Climate Experiment (GRACE) mission data. So far, statistical decomposition methods, e.g. the Principal Component Analysis/Empirical Orthogonal Function (PCA/EOF) method, have not been implemented for the analysis and modelling of temporal mass variations within the Earth's system over the area of Poland. The aim of this contribution is to analyse and model temporal variations of geoid heights obtained from GRACE mission data over the area of Poland using the PCA/EOF method. Temporal variations of geoid heights were obtained from the latest release, i.e. release five, of monthly GRACE-based Global Geopotential Models. They can reach the level of 10 mm. The PCA modes and their corresponding EOF loading patterns were estimated using two different algorithms. The results obtained revealed that significant part of the signal of temporal variations of geoid heights over Poland can be obtained from the first three PCA modes and EOF loading patterns. They demonstrate the suitability of the PCA/EOF method for analysing and modelling temporal variations of geoid heights over the area investigated.

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Section: Modelling Of Temporal Geoid Height Variationsmentioning

confidence: 70%

“…4), temporal variations of geoid heights at those gaps were interpolated using the second degree polynomial (cf. Godah et al 2017b). Time series of temporal variations of geoid heights determined with the use of GFZ RL05 GRACE-based GGMs and gaps in these series are shown in Fig.…”

Section: Data Setmentioning

confidence: 99%

Application of the PCA/EOF method for the analysis and modelling of temporal variations of geoid heights over Poland

2017

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Section: Introductionmentioning

confidence: 99%

“…Moreover, negative coefficients of correlation between temporal variations of hydrological masses and temporal variations of orthometric/normal heights are expected. This is because an increase in hydrological masses would result in a decrease in orthometric/normal heights (e.g., [7][8][9][10]). The GRACE (Gravity Recovery and Climate Experiment [11]) satellite mission, operated in the years 2002-2017, provided unique data for the determination of temporal mass variations within the Earth system including temporal variations of hydrological masses on a global/regional scale.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, many authors have proved that the estimated vertical deformations of the Earth's surface using GRACE satellite mission data are in a good agreement with the corresponding ones determined from other space geodetic techniques such as GNSS on a global scale, e.g., [20][21][22], on a continental scale, e.g., [23,24] in Europe, as well as on a local/regional scale, e.g., [25,26] in the Amazon basin, [27] in the West Africa, [28] in the East Africa, [29] in Japan, [30] in Bangladesh, [31][32][33] in China, [34,35] in Tibet, [36,37] in Poland, [38] in Greenland, and [39][40][41][42] in the North America, and Very Long Baseline Interferometry (VLBI) (e.g., [43]). The use of GRACE satellite mission data for estimating physical height changes, i.e., temporal variations of orthometric/normal heights, was investigated on local and regional scales for the area of Turkey, Poland, Central Europe and Greenland [7][8][9][10]44].…”

Section: Introductionmentioning

confidence: 99%

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Assessment of Temporal Variations of Orthometric/Normal Heights Induced by Hydrological Mass Variations over Large River Basins Using GRACE Mission Data

et al. 2020

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Almost half of the Earth’s land is covered by large river basins. Temporal variations of hydrological masses induce time-varying gravitational potential and temporal mass loading that deforms the Earth’s surface. These phenomena cause temporal variations of geoid/quasigeoid and ellipsoidal heights that result in temporal variations of orthometric/normal heights ΔH/ΔH*. The aim of this research is to assess ΔH/ΔH* induced by hydrological masses over large river basins using the Gravity Recovery and Climate Experiment (GRACE) satellite mission data. The results obtained reveal that for the river basin of a strong hydrological signal, ΔH/ΔH* reach 8 cm. These ΔH/ΔH* would be needed to reliably determine accurate orthometric/normal heights. The ΔH/ΔH* do not exceed ±1 cm in the case of the river basin of the weak hydrological signal. The relation between hydrological mass changes and ΔH/ΔH* was investigated. Correlations between ΔH/ΔH* and temporal variations of equivalent water thickness were observed in 87% of river basins subareas out of which 45% exhibit strong correlations. The ΔH/ΔH* determined over two river basins that characterize with the strongest and weakest temporal variations were analysed using the Principal Component Analysis method. The results obtained reveal that ΔH/ΔH* in subareas of the same river basin can significantly differ (e.g., ±2 cm in the Amazon basin) from each other, and are strongly associated with different spatio-temporal patterns of the entire river basin.

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Contribution of GRACE Satellite Mission to the Determination of Orthometric/Normal Heights Corrected for Their Dynamics—A Case Study of Poland

2022

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Physical heights were traditionally determined without considering the dynamic processes of the Earth induced from temporal mass variations. The Gravity Recovery and Climate Experiment (GRACE) mission provided valuable data that allow the estimation of geoid/quasigeoid height changes and vertical deformations of the Earth’s surface induced from temporal mass loading, and thereby temporal variations of physical heights. The objective of this investigation is to discuss the determination of orthometric/normal heights considering mass transports within the Earth’s system. An approach to determine such heights was proposed. First, temporal variations of orthometric/normal heights (ΔH/ΔH*) were determined using the release 6 GRACE-based Global Geopotential Models together with load Love numbers obtained from the preliminary reference Earth model. Then, those variations were modelled and predicted using the seasonal decomposition (SD) method. The proposed approach was tested on the territory of Poland. The main results obtained reveal that ΔH/ΔH* over the area investigated are at the level of a couple of centimetres and that they can be modelled and predicted with a millimetre accuracy using the SD method. Orthometric/normal heights corrected for their dynamics can be determined by combining modelled ΔH/ΔH* with orthometric/normal heights referred to a specific reference epoch.

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Investigation of Geoid Height Variations and Vertical Displacements of the Earth Surface in the Context of the Realization of a Modern Vertical Reference System: A Case Study for Poland

Cited by 3 publications

References 11 publications

Application of the PCA/EOF method for the analysis and modelling of temporal variations of geoid heights over Poland

Application of the PCA/EOF method for the analysis and modelling of temporal variations of geoid heights over Poland

Assessment of Temporal Variations of Orthometric/Normal Heights Induced by Hydrological Mass Variations over Large River Basins Using GRACE Mission Data

Contribution of GRACE Satellite Mission to the Determination of Orthometric/Normal Heights Corrected for Their Dynamics—A Case Study of Poland

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