A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problem
New gravity and precise levelling measurements have been performed throughout the Hong Kong territories to modernize a vertical geodetic datum that is currently realized by heights of levelling benchmarks defined in the Hong Kong Principal Datum (HKPD). Modernization of the HKPD involved delivering...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-04-01
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| Series: | Journal of Geodetic Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/jogs-2022-0153 |
| _version_ | 1827953166524612608 |
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| author | Čunderlík Robert Tenzer Robert Macák Marek Zahorec Pavol Papčo Juraj Nsiah Ababio Albertini |
| author_facet | Čunderlík Robert Tenzer Robert Macák Marek Zahorec Pavol Papčo Juraj Nsiah Ababio Albertini |
| author_sort | Čunderlík Robert |
| collection | DOAJ |
| description | New gravity and precise levelling measurements have been performed throughout the Hong Kong territories to modernize a vertical geodetic datum that is currently realized by heights of levelling benchmarks defined in the Hong Kong Principal Datum (HKPD). Modernization of the HKPD involved delivering various products, including new detailed geoid and quasigeoid models and newly determined orthometric and normal heights of levelling benchmarks. In this study, we present the result of gravimetric quasigeoid modelling. The method used to compute a detailed gravimetric quasigeoid model is based on the finite-element method to solve the geodetic boundary-value problem with oblique derivative boundary conditions considered directly at computational nodes on the discretized Earth’s topography. The result of a gravimetric quasigeoid modelling shows a good agreement with a geometric quasigeoid model at the Global Navigation Satellite System (GNSS)-levelling benchmarks. The standard deviation of differences between the gravimetric and geometric quasigeoid heights of ±3.3 cm is compatible with the expected accuracy of gravity, levelling, and GNSS measurements. |
| first_indexed | 2024-04-09T14:08:48Z |
| format | Article |
| id | doaj.art-6b599960e8dc457ca57e93f41981289a |
| institution | Directory Open Access Journal |
| issn | 2081-9943 |
| language | English |
| last_indexed | 2024-04-09T14:08:48Z |
| publishDate | 2023-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Journal of Geodetic Science |
| spelling | doaj.art-6b599960e8dc457ca57e93f41981289a2023-05-06T15:50:45ZengDe GruyterJournal of Geodetic Science2081-99432023-04-011313829310.1515/jogs-2022-0153A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problemČunderlík Robert0Tenzer Robert1Macák Marek2Zahorec Pavol3Papčo Juraj4Nsiah Ababio Albertini5Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, SlovakiaDepartment of Land Surveying and Geo-Informatics, Hong Kong Polytechnic University, 181 Chatham Road South, Kowloon, Hong Kong, ChinaDepartment of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, SlovakiaDepartment of Gravimetry and Geodynamics, Earth Science Institute, Slovak Academy of Sciences, Banská Bystrica, SlovakiaDepartment of Global Geodesy and Geoinformatics, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, SlovakiaDepartment of Land Surveying and Geo-Informatics, Hong Kong Polytechnic University, 181 Chatham Road South, Kowloon, Hong Kong, ChinaNew gravity and precise levelling measurements have been performed throughout the Hong Kong territories to modernize a vertical geodetic datum that is currently realized by heights of levelling benchmarks defined in the Hong Kong Principal Datum (HKPD). Modernization of the HKPD involved delivering various products, including new detailed geoid and quasigeoid models and newly determined orthometric and normal heights of levelling benchmarks. In this study, we present the result of gravimetric quasigeoid modelling. The method used to compute a detailed gravimetric quasigeoid model is based on the finite-element method to solve the geodetic boundary-value problem with oblique derivative boundary conditions considered directly at computational nodes on the discretized Earth’s topography. The result of a gravimetric quasigeoid modelling shows a good agreement with a geometric quasigeoid model at the Global Navigation Satellite System (GNSS)-levelling benchmarks. The standard deviation of differences between the gravimetric and geometric quasigeoid heights of ±3.3 cm is compatible with the expected accuracy of gravity, levelling, and GNSS measurements.https://doi.org/10.1515/jogs-2022-0153boundary-value problemfinite-element method, gravityheightslevellingvertical geodetic control, (quasi)geoid |
| spellingShingle | Čunderlík Robert Tenzer Robert Macák Marek Zahorec Pavol Papčo Juraj Nsiah Ababio Albertini A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problem Journal of Geodetic Science boundary-value problem finite-element method, gravity heights levelling vertical geodetic control, (quasi)geoid |
| title | A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problem |
| title_full | A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problem |
| title_fullStr | A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problem |
| title_full_unstemmed | A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problem |
| title_short | A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problem |
| title_sort | detailed quasigeoid model of the hong kong territories computed by applying a finite element method of solving the oblique derivative boundary value problem |
| topic | boundary-value problem finite-element method, gravity heights levelling vertical geodetic control, (quasi)geoid |
| url | https://doi.org/10.1515/jogs-2022-0153 |
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