论文推荐|东北大学汪浩副研究员:基于潮汐导纳函数的GNSS海潮负荷位移太阳潮与太阴太阳潮精化

Benefits of tidal admittance functions for refining GNSS-observed solar and lunisolar tidal constituents

基于潮汐导纳函数的GNSS海潮负荷位移太阳潮与太阴太阳潮精化

Hao Wang(汪浩)
Na Wei(魏娜)
Min Li(李敏)
Shin-Chan Han
Yunfei Xiang(向云飞)
Qile Zhao(赵齐乐)

Wuhan University(武汉大学)
University of Newcastle(纽卡斯尔大学)
Nanjing Forestry University(南京林业大学)

引文格式 | Citation:
Wang H, Wei N, Li M, et al. Benefits of tidal admittance functions for refining GNSS-observed solar and lunisolar tidal constituents[J]. GPS Solutions, 2025, 29: 13. DOI:10.1007/s10291-024-01768-7.

GPS Solutions(中科院1区Top,IF:3.9)
Ocean tide loading displacement
Solar and lunisolar tidal constituents
GNSS and multi-GNSS
Tidal admittance function
Tidal inference
Abstract | 摘要
Ocean tide loading (OTL) displacements observed by the Global Navigation Satellite System (GNSS) are generally less accurate for solar (S2 and P1) and lunisolar (K2 and K1) tidal constituents than for lunar tidal constituents (M2, N2, O1 and Q1). We propose to construct the tidal admittance function (TAF) in the complex domain for tidal inference, aiming to refine noisier GNSS-observed solar and lunisolar constituents. The vertical OTL displacements are estimated from the single GNSS (GPS and Galileo) and multi-GNSS (GPS + Galileo + GLONASS) solutions, using kinematic precise point positioning under undifferenced ambiguity resolution to process 2.5 years of continuous GNSS observations from 49 global GNSS stations. Results show that TAF inferred P1 and K2 agree better with FES2014b model predictions than GNSS estimates for most GNSS stations. We find that the P1 and K2 inferences are only perturbed by less than 0.3 times the observed K1 and S2 errors, respectively. In contrast, the K1 and S2 inferences suffer from over three times the observed P1 and K2 errors. As a result, the tidal inference can only provide limited refinement of GNSS K1 and S2 estimates for a few stations. By comparing the two different TAF approaches for the tidal inference, we find that direct fitting of phase lags is susceptible to phase addition and subtraction of 360°, without disrupting our approach. In addition, the OTL displacements predicted at most GNSS stations are found to satisfy the smoothness of the tidal admittance, which is fundamental to the robustness of the tidal inference. Our approach is also applicable to improve the horizontal solar and lunisolar constituents estimated by GNSS, but should be used with caution in cases where smooth admittances may be distorted by the tidal resonance.
利用全球导航卫星系统(GNSS)测定的海潮负荷(OTL)位移中,太阳潮(S2、P1)与太阴太阳潮(K2、K1)的精度通常低于太阴潮(M2、N2、O1、Q1)。为此,本文提出复数域潮汐导纳函数(TAF)进行潮汐推导,旨在改善GNSS OTL位移太阳潮与太阴太阴潮测定结果。基于全球49个GNSS测站连续2.5年的观测数据,采用非差模糊度固定的动态精密单点定位方法分别处理GNSS单系统(GPS与Galileo)与多GNSS系统组合(GPS+Galileo+GLONASS)观测数据,估算了垂直方向的OTL位移参数。结果表明,对于绝大多数测站,TAF推导的P1和K2分潮与FES2014b模型预测值的吻合度明显优于GNSS直接估计结果。研究发现,TAF推导的P1和K2误差低于GNSS测定的K1和S2误差的0.3倍;然而,K1和S2的推导误差超过P1和K2测定误差的3倍。因此,TAF推导方法仅对少数测站的GNSS K1和S2测定结果提供有限的改进。通过比较两种不同的TAF推导方法,发现直接拟合相位延迟容易受相位加减360°的影响,而本文方法不受该问题影响。此外,研究指出大多数GNSS测站OTL位移模型预测值满足潮汐导纳平滑性要求,这是TAF潮汐推导稳健性的基础。本文方法同样适用于改进GNSS测定的太阳潮与太阴太阳潮水平分量,但在潮汐共振可能导致导纳失真的情况下需谨慎使用。

作者简介
汪浩(1994-),男,副研究员,主要从事GNSS精密定位及地学应用、海潮负荷效应、地表质量负荷效应等方面研究