TY - JOUR
T1 - A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problem
AU - Čunderlík, Robert
AU - Tenzer, Robert
AU - Macák, Marek
AU - Zahorec, Pavol
AU - Papčo, Juraj
AU - Nsiah Ababio, Albertini
N1 - Funding Information:
Funding information: The work presented in this article was supported by the Hong Kong GRF RGC project 15217222: Modernization of the levelling network in the Hong Kong territories. The contribution of coauthors RC and MM was supported by Grants VEGA 1/0486/20 and APVV-19-0460, and the contribution of coauthors PZ and JP by Grants VEGA 2/0100/20 and APVV-19-0150.
Publisher Copyright:
© 2023 the author(s).
PY - 2023/1/1
Y1 - 2023/1/1
N2 - 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.
AB - 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.
KW - boundary-value problem
KW - finite-element method, gravity
KW - heights
KW - levelling
KW - vertical geodetic control, (quasi)geoid
UR - http://www.scopus.com/inward/record.url?scp=85153510363&partnerID=8YFLogxK
U2 - 10.1515/jogs-2022-0153
DO - 10.1515/jogs-2022-0153
M3 - Journal article
AN - SCOPUS:85153510363
SN - 2081-9943
VL - 13
JO - Journal of Geodetic Science
JF - Journal of Geodetic Science
IS - 1
M1 - 20220153
ER -