Bulletin of Surveying and Mapping ›› 2026, Vol. 0 ›› Issue (7): 67-72.doi: 10.13474/j.cnki.11-2246.2026.0710

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Estimation of the height datum geopotential value using the spectral expansion gravity field models

Zhang Panpan1,2, Zhang Jiarong1, Zou Weijun1, Liu Bingqian1   

  1. 1. College of Civil Engineering, Henan University of Engineering, Zhengzhou 451191, China;
    2. State Key Laboratory of Precision Geodesy, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430077, China
  • Received:2026-01-05 Published:2026-08-15

Abstract: [Purposes] The unification of the global height datum relies on high-precision global gravity field models,yet existing models are often insufficient in both accuracy and spatial resolution. [Methods] To address this limitation,this study extends GRACE/GOCE satellite gravity field models by integrating the high-degree model EGM2008 and the residual terrain model (RTM),thereby constructing a combined gravity field model to compensate for their truncation errors.Using this combined model and GNSS/leveling data from Brazil,the vertical datum parameters for the region are determined. [Findings] Spectral analysis reveals that the satellite gravity models exhibit lower geoid degree errors and higher signal-to-noise ratios up to approximately degree 200.Validation with GNSS/leveling data shows that the accuracy of all combined models surpasses that of the individual GRACE/GOCE models and EGM2008.Among them,the GMMG2021S-EGM2008-RTM model demonstrates the optimal performance,improving accuracy by 40.7%compared to the Tongji-GMMG2021S model and by 11.3%compared to the EGM2008 model.The final calculation yields a gravity potential value of 62 636 849.27 m2·s-2 for the Brazilian height datum.The corresponding potential difference and vertical deviation from the global datum are approximately 4.13 m2·s-2 and 42.2 cm,respectively,indicating that the Brazilian height datum is about 42.2 cm above the global datum. [Conclusions] This research demonstrates that the spectral combination method effectively enhances model resolution and accuracy,providing a valuable reference for global height datum unification.

Key words: unification of height datum, GRACE/GOCE gravity field models, EGM2008, RTM, combined gravity field model

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