Compilation of the new detailed geoid model HKGEOID-2022 for the Hong Kong territories

Abstract

Number of detailed geoid models have been developed to convert geodetic heights measured by the Global Navigation Satellite Systems (GNSS) to heights in the Hong Kong Principal Datum (HKPD). Although gravity measurements were used to compile these geoid models, heights of leveling benchmarks in HKPD were determined from precise spirit leveling measurements but without involving gravity data. To address these inconsistencies, the orthometric heights of HKPD leveling benchmarks were determined from leveling and gravity data. Moreover, the new geoid model HKGEOID-2022 was computed and fitted with the geometric geoid heights at GNSS-leveling benchmarks derived from newly determined orthometric heights. Numerical procedures used to prepare the HKGEOID-2022 geoid are discussed in this study. A gravimetric geoid was computed by using the KTH method. A systematic bias between the gravimetric and geometric geoid heights at GNSS-leveling benchmarks was modeled and reduced by applying a 7-parameter similarity transformation. The accuracy analysis revealed that the resulting detailed geoid model HKGEOID-2022 fits the geometric geoid heights with a standard deviation of ±2.2 cm. This accuracy is compatible with the estimated uncertainties of GNSS measurements as well as with the expected accuracy of a newly developed geoid model, both at the level of approximately ±1–2 cm.

Keywords:

• Geoid
• gravity
• KTH method
• least-squares analysis

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability statement

The data that support the findings of this study are available on request from the corresponding author, A.N.A. The data are not publicly available due to restrictions.

Additional information

Funding

The work presented in this article was supported by the by the Hong Kong GRF RGC project 15218819: ‘The modernization of height datum in the Hong Kong territories’.