A detailed quasigeoid model of the Hong Kong territories computed by applying a finite-element method of solving the oblique derivative boundary-value problem

Robert Čunderlík, Robert Tenzer, Marek Macák, Pavol Zahorec, Juraj Papčo, Albertini Nsiah Ababio

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

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.

Original languageEnglish
Article number20220153
JournalJournal of Geodetic Science
Volume13
Issue number1
DOIs
Publication statusPublished - 1 Jan 2023

Keywords

  • boundary-value problem
  • finite-element method, gravity
  • heights
  • levelling
  • vertical geodetic control, (quasi)geoid

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Geophysics
  • Computers in Earth Sciences
  • Earth and Planetary Sciences (miscellaneous)
  • Applied Mathematics

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