测绘学报 ›› 2026, Vol. 55 ›› Issue (4): 708-720.doi: 10.11947/j.AGCS.2026.20250515

• 大地测量学与导航 • 上一篇    

时变重力场反演的改进基线法

杨小磊1,2(), 肖云2,3(), 杨丽清1,2, 洪晓东4, 郭恩泽1,2, 王翰1,2   

  1. 1.长安大学地质工程与测绘学院,陕西 西安 710054
    2.空间基准全国重点实验室,陕西 西安 710054
    3.西安测绘研究所,陕西 西安 710054
    4.61363部队,陕西 西安 710000
  • 收稿日期:2025-12-08 修回日期:2026-03-05 发布日期:2026-05-11
  • 通讯作者: 肖云 E-mail:1281733212@qq.com;2262164268@qq.com
  • 作者简介:杨小磊(2002—),男,硕士生,主要从事时变重力场反演的研究。 E-mail:1281733212@qq.com
  • 基金资助:
    国家自然科学基金青年基金(42404008);国家重点研发计划(2021YFB3900604-01)

Improved baseline method for time-variable gravity field recovery

Xiaolei YANG1,2(), Yun XIAO2,3(), Liqing YANG1,2, Xiaodong HONG4, Enze GUO1,2, Han WANG1,2   

  1. 1.School of Geology Engineering and Geomatics, Chang'an University, Xi'an 710054, China
    2.State Key Laboratory of Space Reference, Xi'an 710054, China
    3.Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China
    4.Troops61363, Xi'an 710000, China
  • Received:2025-12-08 Revised:2026-03-05 Published:2026-05-11
  • Contact: Yun XIAO E-mail:1281733212@qq.com;2262164268@qq.com
  • About author:YANG Xiaolei (2002—), male, master, majors in time-varying gravity field inversion. E-mail: 1281733212@qq.com
  • Supported by:
    The National Natural Science Foundation of China Youth Fund(42404008);The National Key Research and Development Program of China(2021YFB3900604-01)

摘要:

本文针对高精度时变重力场反演中高频误差抑制的难题,研究并发展了基线法,通过引入去相关法优化观测误差处理,并采用短时变参数估计策略增强时变信号捕捉能力,构建了改进的基线法反演模型。重点比较了其与传统短弧法在频谱响应与噪声控制方面的性能差异。基于2021年GRACE-FO(GRACE Follow-On)实测数据,反演得到60、96及120阶月重力场模型。结果表明,在30阶以下低频谱段,两种方法精度相当;而在30阶以上中高频部分,改进基线法显著优于短弧法,其大地水准面累计误差在120阶处可降低约8 cm,表现出更优的高频噪声抑制能力。进一步将改进基线法所得模型(Baseline模型)与美国得克萨斯大学奥斯汀分校空间研究中心发布的CSR RL06.3、华中科技大学发布的HUST-Grace2024及同济大学发布的Tongji-Grace2022模型进行对比验证,结果显示Baseline模型在60阶以上整体精度更优,反演的全球等效水高空间分布更合理、条带噪声更少。其海洋区域均方根误差显著低于CSR RL06.3、HUST-Grace2024及Tongji-Grace2022模型,且信噪比表现最优,验证了其卓越的高频噪声抑制能力。研究表明,改进基线法通过去相关处理与短时变参数化的联合改进,能有效提升重力场模型在中高频段的精度与稳定性,为构建高分辨率、高可靠性的时变重力场产品提供了有效途径。

关键词: 改进基线法, 短弧法, GRACE-FO, 时变重力场

Abstract:

To address the challenge of suppressing high-frequency errors in high-precision time-variable gravity field inversion, this paper investigates and develops the baseline method. An improved baseline inversion model is constructed by introducing a decorrelation method to optimize observation error processing and adopting a short-term time-variable parameter estimation strategy to enhance time-variable signal capture capability. The study focuses on comparing its performance with the traditional short-arc method in terms of spectral response and noise control. Based on 2021 GRACE-FO real data, monthly gravity field models up to degrees 60, 96, and 120 are derived. Results indicate that in the low-frequency band (below degree 30), both methods achieve comparable accuracy. However, in the mid-to-high frequency range (above degree 30), the improved baseline method significantly outperforms the short-arc method; notably, its cumulative geoid height error at degree 120 is reduced by approximately 8 cm, demonstrating superior capability in suppressing high-frequency noise. Furthermore, the model derived from the improved baseline method (referred to as the Baseline model) is validated against the CSR RL06.3 model released by Center for Space Research, University of Texas at Austin, the HUST-Grace2024 model released by Huazhong University of Science and Technology, and the Tongji-Grace2022 model released by Tongji University. The comparison reveals that the Baseline model achieves better overall accuracy above degree 60. The global equivalent water height derived from the Baseline model exhibits a more reasonable spatial distribution with less striping noise. Specifically, its RMSE over the ocean is significantly lower than that of the CSR RL06.3, HUST-Grace2024, and Tongji-Grace2022 models, and its signal-to-noise ratio is superior to these models, demonstrating optimal high-frequency noise suppression capability. The study concludes that the improved baseline method, through the combined enhancements of decorrelation processing and short-term time-variable parameterization, effectively improves the accuracy and stability of gravity field models in mid-to-high frequency bands, providing an effective approach for constructing high-resolution and high-reliability time-variable gravity field products.

Key words: improved baseline method, short-arc method, GRACE-FO, time-variable gravity field

中图分类号: