测绘学报 ›› 2026, Vol. 55 ›› Issue (7): 1141-1157.doi: 10.11947/j.AGCS.2026.20260043

• 人工智能的大地测量与卫星重力反演前沿 •    

基于物理信息神经网络的GNSS陆地水储量反演

张诚(), 张豹(), 姚宜斌, 朱成昌   

  1. 武汉大学测绘学院,湖北 武汉 430079
  • 收稿日期:2026-01-27 修回日期:2026-05-19 发布日期:2026-08-18
  • 通讯作者: 张豹 E-mail:sgg_zhangcheng@whu.edu.cn;sggzb@whu.edu.cn
  • 作者简介:张诚(1997—),男,博士生,研究方向为水文大地测量学。 E-mail:sgg_zhangcheng@whu.edu.cn
  • 基金资助:
    国家自然科学基金(42522401);广西重点研发计划(桂科AB24010144);南宁市科技重大专项(20241027);“赋能”行动计划(广西重点研发计划)(桂科FN2600640635);“智果”行动计划(广西科技成果转化计划)(桂科ZG2503980015)

GNSS-based terrestrial water storage inversion using physics-informed neural networks

Cheng Zhang(), Bao Zhang(), Yibin Yao, Chengchang Zhu   

  1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China
  • Received:2026-01-27 Revised:2026-05-19 Published:2026-08-18
  • Contact: Bao Zhang E-mail:sgg_zhangcheng@whu.edu.cn;sggzb@whu.edu.cn
  • About author:Zhang Cheng (1997—), male, PhD candidate, majors in hydrogeodesy. E-mail: sgg_zhangcheng@whu.edu.cn
  • Supported by:
    The National Natural Science Foundation of China(42522401);Guangxi Key Research and Development Program(桂科AB24010144);Major Science and Technology Project of Nanning(20241027);“Empowerment” Action Plan (Guangxi Key Research and Development Program)(桂科FN2600640635);“Smart Fruit” Action Plan (Guangxi Science and Technology Achievement Transformation Program)(桂科ZG2503980015)

摘要:

陆地水储量(TWS)是水循环与气候变化的关键指标,精确监测其变化对理解气候变暖背景下水循环变化具有重要意义。针对GRACE/GRACE-FO卫星重力产品在空间分辨率与时间连续性方面的固有局限,以及GNSS垂直地壳位移观测空间离散、噪声复杂的问题,本文提出一种基于物理信息神经网络(PINN)的TWS反演框架,该方法深度融合了GNSS成像结果与各GRACE产品,实现了从离散站点观测到连续空间场重建的范式转换。首先,基于空间成像技术将GNSS站点垂直位移序列转换为规则网格的形变场,以增强其空间连续性与水文信号刻画能力;然后,构建以时间和GNSS垂直地壳位移为输入、GRACE TWS为输出的PINN模型,并在保持参数一致的条件下,与反向传播神经网络进行对比分析;最后,引入物理信息约束后的结果表明,模型性能显著优于纯数据驱动模型,重建结果在振幅、相位及年际变化特征上与GRACE及GLDAS产品保持更高一致性。此外,动态权重策略的引入使模型在训练中能够有效平衡数据拟合与物理约束之间的关系,从而提高收敛稳定性与整体反演精度。研究证实,PINN为实现大地测量观测数据约束下的区域TWS高分辨率反演,提供了一条稳健且具有推广价值的技术路径。

关键词: GNSS, GRACE/GRACE-FO, 物理信息, 机器学习, 陆地水储量

Abstract:

Terrestrial water storage (TWS) is a key indicator of the water cycle and climate change, and accurate monitoring of its variations is essential for understanding changes in the water cycle under climate warming. To address the inherent limitations of GRACE/GRACE-FO satellite gravity products in spatial resolution and temporal continuity, as well as the spatial discreteness and complex noise of GNSS vertical crustal displacement observations, this study proposes a TWS inversion framework based on physics-informed neural networks (PINN). The proposed method deeply integrates GNSS imaging results with fused GRACE products, enabling a paradigm shift from discrete station observations to continuous spatial field reconstruction. First, GNSS station vertical displacement time series are transformed into a regular-grid deformation field using spatial imaging techniques to enhance spatial continuity and hydrological signal characterization. On this basis, a PINN model is constructed with time and GNSS vertical crustal displacement as inputs and GRACE TWS as the output, and is compared with a backpropagation neural network under consistent parameter settings. The results show that, after introducing physical information constraints, the model significantly outperforms the purely data-driven model, and the reconstructed results show higher consistency with GRACE and GLDAS products in amplitude, phase, and interannual variability. In addition, the dynamic weighting strategy enables the model to effectively balance data fitting and physical constraints during training, thereby improving convergence stability and overall inversion accuracy. This study demonstrates that PINN provides a robust and transferable technical pathway for regional high-resolution TWS inversion constrained by geodetic observations.

Key words: GNSS, GRACE/GRACE-FO, physical information, machine learning, terrestrial water storage

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