测绘通报 ›› 2026, Vol. 0 ›› Issue (7): 67-72.doi: 10.13474/j.cnki.11-2246.2026.0710

• 学术研究 • 上一篇    下一篇

利用谱扩展重力场模型确定高程基准重力位

张盼盼1,2, 张家荣1, 邹维俊1, 刘冰倩1   

  1. 1. 河南工程学院土木工程学院, 河南 郑州 451191;
    2. 中国科学院精密测量科学与技术创新研究院精密大地测量与定位全国重点实验室, 湖北 武汉 430077
  • 收稿日期:2026-01-05 发布日期:2026-08-15
  • 作者简介:张盼盼(1992—),男,博士,讲师,研究方向为地球重力场建模及其应用。E-mail:zhangpanpan@haue.edu.cn
  • 基金资助:
    国家自然科学基金(42504055);河南省自然科学基金(252300423239);河南省重点研发与推广专项(科技攻关)(252102240131);河南省高等学校重点科研项目(25A420005);精密大地测量与定位全国重点实验室开放基金(SKLPG2025-1-3)

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

摘要: [目的] 全球高程基准统一需依靠高精度重力场模型,然而现有模型精度与分辨率仍存在不足。[方法] 为此,本文利用高阶重力场模型EGM2008与剩余地形模型对GRACE/GOCE重力场模型进行扩展,构建组合重力场模型,以补偿其截断误差。基于组合重力场模型与巴西境内GNSS/水准数据,确定了该区域的高程基准垂直参数。[结果] 频谱分析显示,卫星重力场模型在200阶次前具有较低的大地水准面阶误差与较高的信噪比。以GNSS/水准数据验证,所有组合模型的精度均优于GRACE/GOCE模型和EGM2008模型。其中,GMMG2021S_EGM2008_RTM组合模型表现最优,其精度较Tongji-GMMG2021S模型约提升41%,较EGM2008模型提升11%。最终计算得出巴西高程基准重力位值为62 636 849.27 m2·s-2,其与全球基准的位差和垂直偏差分别约为4.13 m2·s-2与42.2 cm,表示巴西高程基准高于全球基准约42.2 cm。[结论] 研究表明,通过谱组合方法构建组合重力场模型,能有效提升模型分辨率与精度,可为全球高程基准的统一提供参考。

关键词: 高程基准统一, GRACE/GOCE重力场模型, EGM2008, 剩余地形模型, 组合重力场模型

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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