Combination of Soviet-Era Surface Gravity and Modern Satellite Data for Geoid Model Computation: A Case Study for Kazakhstan
Shoganbekova D. Urazaliyev A. Nurakynov S. Kozhakhmetov M. Zhaksygul N. Sermiagin R.
November 2025Multidisciplinary Digital Publishing Institute (MDPI)
Computation
2025#13Issue 11
Accurate geoid determination is essential for height system unification and for converting Global Navigation Satellite System (GNSS) ellipsoidal heights to orthometric heights. This study demonstrates a national-scale workflow that integrates digitized Soviet-era gravimetric maps at 1:200,000 scale with modern satellite and ancillary datasets to compute a high-resolution gravimetric geoid for Kazakhstan. Legacy gravity maps were systematically digitized, harmonized, and quality-controlled, then integrated with a global geopotential model (XGM2019e_2159) for long-wavelength information and a digital elevation model (FABDEM) for terrain corrections. Geoid computation employed the Least-Squares Modification of Stokes’ Formula, with spectral testing used to select optimal parameters; external control and validation relied on an extensive set of GNSS observations and geometric levelling benchmarks from the national network. The resulting geoid surface captures the country’s full topographic range, from the Caspian Depression to the Tien Shan and Altai. After regression-based removal of residual tilts linked to distortions in the Baltic 1977 height system, we achieved a root-mean-square error of 0.066 m. The integrated use of 1:200,000 gravity maps and modern satellite-derived models yields accuracy improvements over widely used global solutions, establishing a consistent vertical reference for Kazakhstan and supporting datum modernization, GNSS-based heighting, infrastructure development, and environmental monitoring. These results show that digitized Soviet-era gravity maps, when fused with modern satellite datasets, can provide robust, high-accuracy geoid solutions.
FABDEM , GGM , GNSS/levelling , gravimetric geoid , LSMSA , regional gravity field modelling , XGM2019e_2159
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Institute of Ionosphere, Almaty, 050000, Kazakhstan
International Educational Corporation, Almaty, 050043, Kazakhstan
Department of Surveying and Geodesy, Mining and Metallurgical Institute Named After O.A. Baikonurov, Satbayev University, Almaty, 050013, Kazakhstan
RSE National Centre of Geodesy and Spatial Information, Astana, 010000, Kazakhstan
Institute of Ionosphere
International Educational Corporation
Department of Surveying and Geodesy
RSE National Centre of Geodesy and Spatial Information
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