A Study of Terrain Reductions, Density Anomalies and Geophysical Inversion Methods in Gravity Field Modelling

Forsberg, R.

doi:10.21236/ada150788

Cited by 431 publications

(308 citation statements)

References 14 publications

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“…Thus, the near-zone was approximated by a planar model and the gravitational effect of the respective cells was computed by integration over rectangular homogeneous prisms (Mader, 1951, Nagy, 1966, Forsberg, 1984, since topography was not incorporated in this first investigation. Tests showed that it is sufficient to include only WGHM cells within a radius of 50 km in the near-zone.…”

Section: Gravity Effects From the Watergap Global Hydrology Modelmentioning

confidence: 99%

Time series of superconducting gravimeters and water storage variations from the global hydrology model WGHM

Wziontek

Wilmes

Wolf

et al. 2009

Journal of Geodynamics

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.Page 1 of 6A c c e p t e d M a n u s c r i p t AbstractThe gravimetric time series achieved from the combination of superconducting and absolute gravimeters are characterized by highest precision and long-term stability. If the effects of Earth and ocean tides, atmosphere and polar motion are removed, the residual curve is dominated by hydrological mass variations. A major source of these variations is water storage changes in the vicinity of the sensor. However, global variations contribute to the signal significantly. For three stations of superconducting gravimeters, a comparison of the principal components obtained from the residual gravity curve on the one hand and continental water storage from the WaterGAP Global Hydrological Model (WGHM) on the other hand is carried out. The results demonstrate a coherence of seasonal variations but a difference in the contribution of the local zone at the individual stations, which point out the need for a careful and site-specific examination of local effects.

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Section: Gravity Effects From the Watergap Global Hydrology Modelmentioning

confidence: 99%

Time series of superconducting gravimeters and water storage variations from the global hydrology model WGHM

Wziontek

Wilmes

Wolf

et al. 2009

Journal of Geodynamics

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“…There is a direct relation between the quality of a DTM (Digital Terrain Model) and the precision of estimated quantities of the gravity field such as the geoid or gravity anomalies (Forsberg 1984). The effect of DTM resolution and accuracy on the accuracy of geoid models has already been investigated for the area over the Azores (Catalão and Bos, 2008), revealing differences on the geoid of up to 3 cm rms.…”

Section: The Digital Terrain Modelmentioning

confidence: 99%

“…In this study Stokes' formula was evaluated using the spherical FFT approach (Forsberg and Sideris 1993) in which the geoid signal is obtained by a number of bandwise Fourier transformations given by:…”

Section: The Final Geoid Undulation Is Given Bymentioning

confidence: 99%

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Mapping the geoid for Iberia and the Macaronesian Islands using multi-sensor gravity data and the GRACE geopotential model

Catalão

Sevilla²

2009

Journal of Geodynamics

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To cite this version:J. Catalão, M.J. Sevilla. Mapping the geoid for Iberia and the Macaronesian Islands using multisensor gravity data and the GRACE geopotential model. Journal of Geodynamics, Elsevier, 2009, 48 (1) This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Iberia, and the Macaronesian Islands using multi-sensor gravity data and a GRACE derived Earth geopotential model. A high resolution gravity model, determined using least squares optimal interpolation of marine, land, and satellite derived gravity anomalies, was used to resolve the medium and short wavelengths of the geoid. Long wavelengths of the geoid were provided by the GRACE derived Earth geopotential model. The topographic effects were computed in the spectral domain using a high resolution (100 m) digital terrain model derived from SRTM mission data and cartographic charts. The remove-restore technique was used to compute the geoid model on a 1.5 arc minute grid, and the residual geoid height was computed using spherical FFT and a modified Stokes' kernel. The effects of different Earth tide models on the geoid were computed and analyzed.Comparison over the sea with an oceanographic geoid determined from CLS01 MSSH and Rio05MDT yield a relative accuracy of 8 cm, with larger differences close to the shoreline. Over land, comparisons with 1646 GPS/levelling marks indicate an overall precision of 8-10 cm and relative vertical datum offsets of up to 2 m. This new geoid model represents a significant improvement over existing geoid models, with a homogeneous relative accuracy of 8-10 cm over both marine and land areas, and exposes the inaccuracies of local vertical datums as references for studies of vertical deformation.

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“…Hence, by limiting the maximum degree of the GGM, we can make the contribution of the GGM to the commission error negligibly small compared to the contribution of the surface gravity anomaly data set. Note that this requires a proper application of residual terrain modeling (e.g., Forsberg, 1984). From now on, we neglect the commission error of the GGM.…”

Section: -Mm Quasi-geoid In the Netherlandsmentioning

confidence: 99%

Data requirements for a 5-mm quasi-geoid in the Netherlands

2017

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A Study of Terrain Reductions, Density Anomalies and Geophysical Inversion Methods in Gravity Field Modelling

Cited by 431 publications

References 14 publications

Time series of superconducting gravimeters and water storage variations from the global hydrology model WGHM

Time series of superconducting gravimeters and water storage variations from the global hydrology model WGHM

Mapping the geoid for Iberia and the Macaronesian Islands using multi-sensor gravity data and the GRACE geopotential model

Data requirements for a 5-mm quasi-geoid in the Netherlands

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