Geoid modeling by the least squares modification of Hotine's and Stokes' formulae using non-gridded gravity data

The paper deals with geoid modeling using the least-squares modification of the Stokes' and Hotine's formulae using gridded and non-gridded terrestrial gravity data over the Auvergne test area (France). Differently from the conventional way of using gridded gravity data, this study utilize...

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Veröffentlicht in:Computers & geosciences Jg. 156; S. 104909
Hauptverfasser: Sakil, Fatima Feyza, Erol, Serdar, Ellmann, Artu, Erol, Bihter
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 01.11.2021
Schlagworte:
Auvergne
data collection
France
Geoid
gravity
Gravity anomaly
Gravity disturbance
Hotine's integral
least squares
Stokes' integral
Voronoi polygons
France
Stokes' integral
Geoid
Hotine's integral
Gravity anomaly
Voronoi polygons
Auvergne
Gravity disturbance
ISSN:0098-3004, 1873-7803
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Zusammenfassung:The paper deals with geoid modeling using the least-squares modification of the Stokes' and Hotine's formulae using gridded and non-gridded terrestrial gravity data over the Auvergne test area (France). Differently from the conventional way of using gridded gravity data, this study utilizes non-gridded data as the input to the geoid modeling and compare the differences between the computational approaches in terms of the geoid model accuracies. For this purpose, the calculated gravimetric geoid models are validated at high-accuracy GNSS/leveling benchmarks provided in the test dataset. The geoid models computed using the grid gravity data yielded 3.8 cm and 4.0 cm accuracies before fitting for Hotine's and Stokes' methods, whilst the evaluation of the geoid models with non-gridded data yielded 6.6 cm and 5.7 cm, respectively. The numerical comparisons of the different geoid models are presented and discussed in detail. •Least squares modified Hotine's and Stokes' integral formulae are used for geoid modeling.•Gridded and non-gridded gravity disturbance and gravity anomaly data are employed.•The non-gridded gravity data at the observed locations are directly used as input.•The geoid model computed by Hotine's integral with gridded data provides the best results.
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ISSN:0098-3004
1873-7803
DOI:10.1016/j.cageo.2021.104909