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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| Vydáno v: | Computers & geosciences Ročník 156; s. 104909 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Ltd
01.11.2021
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| ISSN: | 0098-3004, 1873-7803 |
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| Abstract | 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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| AbstractList | 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. 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. |
| ArticleNumber | 104909 |
| Author | Ellmann, Artu Erol, Serdar Erol, Bihter Sakil, Fatima Feyza |
| Author_xml | – sequence: 1 givenname: Fatima Feyza orcidid: 0000-0002-3262-0621 surname: Sakil fullname: Sakil, Fatima Feyza email: sakil@itu.edu.tr organization: Department of Geomatics Engineering, Istanbul Technical University, Istanbul, Turkey – sequence: 2 givenname: Serdar orcidid: 0000-0002-7100-8267 surname: Erol fullname: Erol, Serdar email: erol@itu.edu.tr organization: Department of Geomatics Engineering, Istanbul Technical University, Istanbul, Turkey – sequence: 3 givenname: Artu orcidid: 0000-0002-5512-8461 surname: Ellmann fullname: Ellmann, Artu email: artu.ellmann@ttu.ee organization: Department of Civil Engineering and Architecture, Tallinn University of Technology, Tallinn, Estonia – sequence: 4 givenname: Bihter orcidid: 0000-0003-0854-788X surname: Erol fullname: Erol, Bihter email: bihter@itu.edu.tr organization: Department of Geomatics Engineering, Istanbul Technical University, Istanbul, Turkey |
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| Cites_doi | 10.1007/s00190-017-1061-7 10.1007/s11200-005-1624-6 10.1007/BF02521243 10.1080/01490419.2017.1326428 10.1016/j.jog.2006.09.019 10.1007/s00190-005-0438-1 10.1016/j.cageo.2018.11.008 10.1007/s00190-003-0346-1 10.1007/BF03655056 10.1016/j.cageo.2021.104720 10.1016/j.cageo.2020.104594 10.1016/j.cageo.2013.03.012 10.1016/j.cageo.2018.06.012 10.1016/S0098-3004(02)00074-2 10.1007/s12145-014-0149-3 10.1016/j.cageo.2005.01.008 10.1080/00396265.2019.1583848 10.1016/j.cageo.2012.09.010 10.1007/BF03655426 10.1029/90JB02782 10.1007/s00190-013-0612-9 10.1007/BF03655117 10.1007/s00190-017-1070-6 10.1016/j.cageo.2011.07.001 10.2478/v10156-011-0024-9 10.1007/s00190-004-0402-5 10.1007/s001900050157 10.1016/j.cageo.2014.02.005 10.1016/j.cageo.2021.104864 10.1016/j.cageo.2020.104569 10.1007/s00190-003-0338-1 10.1111/j.1365-246X.1969.tb00264.x |
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| Keywords | Stokes' integral Geoid Hotine's integral Gravity anomaly Voronoi polygons Auvergne Gravity disturbance |
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| SubjectTerms | Auvergne data collection France Geoid gravity Gravity anomaly Gravity disturbance Hotine's integral least squares Stokes' integral Voronoi polygons |
| Title | Geoid modeling by the least squares modification of Hotine's and Stokes' formulae using non-gridded gravity data |
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