A study of regional gravity field recovery from GOCE vertical gravity gradient data in the Auvergne test area using collocation

Yıldız, Hasan

doi:10.1007/s11200-011-9030-8

Cited by 18 publications

(5 citation statements)

References 9 publications

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“…allowing the derivation of marine gravity anomalies to explore the ocean basin (Yildiz, 2012;Sandwell et al, 2014;Yazid et al, 2016).…”

Section: < Accepted Manuscript >mentioning

confidence: 99%

Estimating bathymetry from multi-mission satellite altimetry data using Gravity-Geologic Method over Malaysian Seas

Tugi¹,

Din²,

Yazid³

et al. 2021

Terr. Atmos. Ocean. Sci.

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The conventional bathymetry survey uses a single beam echo sounder (SBES) and multi-beam echo sounder (MBES). However, this technique is challenging to map large ocean areas due to complexity, cost, and time-consuming. This study aims to estimate the multi-mission satellite altimetry bathymetry across the Malaysian Seas. Six satellite altimeter missions with 11 years of data have been utilised to derive mean sea surface height (MSSH).The Gravity-Geologic Method, a conventional terrain inversion method based on gravity data, is employed in this study to estimate bathymetry using a density contrast of 1.67 g/cm 3 . The gravity-Geologic method utilises gravity effects to be converted into bathymetry by using an inversion process. The density contrast between the bedrock and the seawater influences the predicted bathymetry. Regional gravity was removed from the observed gravity in order to determine the short-wavelength gravity effects by using the control depths from the shipborne measurements. The findings were validated and compared with shipborne bathymetry data from the National Geophysical Data Centre (NGDC) and Global Bathymetry Models. The estimated bathymetry correlation analysis, R, showed the highest values recorded with 0.9942. These findings reveal that the estimated bathymetry using the Gravity-Geologic Method seems to improve the accuracy of the bathymetry by 69% when compared with the ETOPO1 global bathymetry model. Nonetheless, the estimated bathymetry records 38% improvement when compared to the DTU10 global bathymetry model. The final estimated bathymetry model in this study is known as the UTM18 Bathymetry Model.

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“…allowing the derivation of marine gravity anomalies to explore the ocean basin (Yildiz, 2012;Sandwell et al, 2014;Yazid et al, 2016).…”

Section: < Accepted Manuscript >mentioning

confidence: 99%

Estimating bathymetry from multi-mission satellite altimetry data using Gravity-Geologic Method over Malaysian Seas

Tugi¹,

Din²,

Yazid³

et al. 2021

Terr. Atmos. Ocean. Sci.

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“…Least-squares collocation (Krarup 1969) is one of the famous approximating method see e.g. the works done by Arabelos and Tscherning (1990, 1993and 1995, Tscherning (1988Tscherning ( , 1989, Tscherning et al (1990) and Yildiz (2012). Also, the gravity field can be recovered using a direct integral method, which in fact does two separate computations in one step, integrating the satellite over the mean orbital sphere and continuing them downward to sea level; see Tscherning et al (1990), Eshagh (2011a), Eshagh (2012) and Sjöberg and Eshagh (2012).…”

Section: 2478/arsa-2018-0006mentioning

confidence: 99%

“…They considered the far zone effects by a global gravity model, meaning that they used some priori information. In their second approach, the gravitational effects of the topographic masses are removed prior to continue the data downward and the third one was based on the remove-compute-restore scheme, similar to what Yildiz (2012) did. This approach performed better and they could receive the anomalies with an accuracy of 2.9 mGal.…”

Section: Inversion Of the Goce Datamentioning

confidence: 99%

Regional Recovery of Gravity Anomaly from the Inversion of Diagonal Components of GOCE Gravitational Tensor: A Case Study in Ethiopia

Eshagh

Gedamu

Bedada

2018

Artificial Satellites

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The tensor of gravitation is traceless as the gravitational field of the Earth is harmonic outside the Earth’s surface. Therefore, summation of the 2nd-order horizontal derivatives on its diagonal components should be equal to the radial one but with the opposite sign. The gravity field can be recovered locally from either of them, or even their combination. Here, we use the in-orbit diagonal components of the gravitational tensor measured by the gravity field and steady state ocean circulation explorer (GOCE) mission for recovering gravity anomaly with a resolution of 1°×1° at sea level in Ethiopia. In order to solve the system of equations, derived after discretisation of integral equations, the Tikhonov regularisation is applied and the bias of this regularisation is estimated and removed from the estimated gravity anomalies. The errors of the anomalies are estimated and their significance of recovery from these diagonal components is investigated. Statistically, the difference between the recovered anomalies from each scenario is not significant comparing to their errors. However, their joint inversion of the diagonal components improved the solution by about 1 mGal. Furthermore, the inversion processes are better stabilised when using errors of the input data compared with its exclusion, but at the penalty of degradation in accuracy of the estimates.

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“…Regional solutions from satellite observations are proposed to extract additional information for areas with strong signal variation and to reduce the noise level in smooth regions [ Schmidt et al ., , ; Eicker et al ., ; Bucha et al ., ]. Further investigation demonstrated that there is additional information beyond the maximal degree of satellite‐only GGMs using spherical harmonics in measured GOCE gradients [see Yildiz et al ., and Yildiz , ]. These studies suggest that additional value may be introduced to regional models from GOCE data.…”

Section: Introductionmentioning

confidence: 99%

Regional gravity field recovery using the GOCE gravity gradient tensor and heterogeneous gravimetry and altimetry data

Zhou

Zhong

et al. 2017

JGR Solid Earth

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A regional approach using Poisson wavelets is applied for gravity field recovery using the GOCE (Gravity Field and Steady‐State Ocean Circulation Explorer) gravity gradient tensor, heterogeneous gravimetry data, and altimetry measurements. The added value to the regional model introduced by GOCE data is validated and quantified. The performances of the solutions modeled with different diagonal components of GOCE data and their combinations are investigated. Numerical experiments in a region in Europe show that the effects introduced by GOCE data demonstrate long‐wavelength patterns on the centimeter scale in terms of quasi‐geoid heights, which may allow reducing the remaining long‐wavelength errors in ground‐based data, and improve the regional model. The accuracy of the gravimetric quasi‐geoid computed with a combination of three diagonal components is improved by 0.6 cm (0.5 cm) in the Netherlands (Belgium) compared to that derived from gravimetry and altimetry data alone, when GOCO05s is used as the reference model. Moreover, the added value from GOCE data reduces the mean values of the misfit between the gravimetric solution and GPS/leveling data. Performances of different components and their combinations are not identical, and the solution with vertical gradients is best when a single component is used. The incorporation of multiple components shows further improvements, and the combination of three components best fits the local GPS/leveling data. Further comparison shows that our solution is the highest quality and may be substituted for existing models for engineering purposes and geophysical investigations over the target area.

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A study of regional gravity field recovery from GOCE vertical gravity gradient data in the Auvergne test area using collocation

Cited by 18 publications

References 9 publications

Estimating bathymetry from multi-mission satellite altimetry data using Gravity-Geologic Method over Malaysian Seas

Estimating bathymetry from multi-mission satellite altimetry data using Gravity-Geologic Method over Malaysian Seas

Regional Recovery of Gravity Anomaly from the Inversion of Diagonal Components of GOCE Gravitational Tensor: A Case Study in Ethiopia

Regional gravity field recovery using the GOCE gravity gradient tensor and heterogeneous gravimetry and altimetry data

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