顾及次分潮的全球GNSS基准站不同海潮负荷位移模型时空特征对比分析

Comparative Analysis of Spatiotemporal Characteristics of Different Ocean Tide Models at Global GNSS Reference Stations Considering Minor Ocean Tides

  • 摘要: 海洋潮汐负荷(ocean tide loading,OTL)是影响全球导航卫星系统基准站定位精度的重要误差源。当前根据不同海潮模型获得的基准站海潮负荷位移((ocean tide loading displacement,OTLD)在全球尺度的系统性评估尚显不足,而且部分IGS分析中心仅考虑了11个主分量海洋潮汐(主分潮)的影响。针对FES2004、FES2014b、TPXO9.5a、EOT20、GOT4.10c和NAO.99b 6种OTL模型,利用长时间高频采样基准站OTLD时间序列系统分析不同模型获得的顾及次分量海洋潮汐(次分潮)的全球基准站OTLD三维时空特征及模型间差异。研究结果表明,不同海潮模型获得的全球OTLD均表现为沿海及岛屿区域最大(达85.74 mm)。除北冰洋外,其他三大洋区域均呈现OTLD效应随离岸距离增加而衰减的趋势,但区域差异显著:太平洋区域衰减最显著,其沿海与内陆基准站的OTLD时间序列特征一致;大西洋区域衰减幅度次之,印度洋区域衰减幅度最小,二者沿海基准站均呈半日潮特征,内陆基准站则呈混合潮特征。北冰洋区域呈非单调衰减,且衰减速率较低,沿海基准站模型间差异显著,而内陆基准站不同OTL模型趋于一致且周期性增强。垂直方向OTLD显著高于水平方向,多数沿海基准站垂直方向OTLD达40 mm以上,水平方向约为10mm。不同模型间存在显著位移、相位差异,在高纬度地区(如北冰洋沿海)和复杂地形地区(如东北太平洋沿海)更为突出。具体而言,NAO.99b模型中出现高潮的时刻较其他模型滞后约6 h,多数模型与FES2004模型之间垂直OTLD差值均方根(root mean square,RMS)达3 mm以上,且不同模型与FES2004模型的差异程度与其自身区域精度呈负相关关系。NAO.99b模型与FES2004模型差异最大,在全球范围内的整体精度远不及其余模型,垂直方向OTLD差值RMS达3.77 mm。EOT20、GOT4.10c模型与FES2004模型的差异次之,在太平洋中部岛屿以及北大西洋沿海等地区差异较大,差值RMS达3.17 mm; TPXO9.5a、FES2014b模型与FES2004模型的差异最小,在全球范围内整体精度较高,但在东南印度洋沿海、西南大西洋沿海等局部地区仍存在位移偏差,差值RMS达2.22 mm。本文结论有助于建立全球及区域最优海潮模型,应用于全球基准站精密数据处理,为下一代毫米级地球参考框架建立提供更准确的数据支持。

     

    Abstract: Objectives: Ocean tide loading (OTL) is a significant error source affecting positioning accuracy for Global Navigation Satellite System (GNSS) stations. Currently, the systematic evaluation of ocean tide loading displacements (OTLD) derived from diverse OTL models on global-scale remain insufficient, while some International GNSS Service (IGS) analysis centers still only consider the 11 main ocean tide components, neglecting the impact of minor ocean tides (MOT). This gap hinders the optimization of OTL corrections for millimeter-level positioning and terrestrial reference frame (TRF) realization. The aim is to analyze threedimensional spatiotemporal characteristics of OTLD and inter-model discrepancies across global GNSS stations, with emphasis on incorporating MOT, using the six most recent representative OTL models. Methods: Six OTL models (FES2014b, TPXO9.5a, EOT20, GOT4.10c, NAO.99b, FES2004) were compared. Long-term, high-frequency OTLD time series (24 years, 15-minute sampling) at 122 globally distributed GNSS stations were generated using the HARDISP.F program, which considers 342 tidal constituents. Discrepancies were quantified via root mean square (RMS) and maximum (MAX) differences in vertical (U) and horizontal components, with analysis of spatiotemporal distributions and phase variations. Results: All models show strongest OTLD in coastal and island regions (peak vertical displacement of 85.74 mm). With exception of the Arctic Ocean, the Pacific, Atlantic, and Indian Oceans exhibit an overall trend of OTLD intensity attenuating as distance from shorelines increases, with distinct regional patterns: the Pacific Ocean region exhibits the most significant attenuation, with consistent OTLD time series features between its coastal and inland reference stations; the Atlantic follows with moderate attenuation, while the Indian Ocean shows the least pronounced attenuation; coastal stations in these two ocean regions display typical semi-diurnal tidal characteristics, whereas inland stations exhibit mixed tidal features, leading to notable differences in OTLD time series waveforms between coastal and inland stations. In contrast, the Arctic region demonstrates a distinctive non-monotonic attenuation pattern with lower decay rates, accompanied by significant inter-model discrepancies near coasts that converge at inland stations. Vertical OTLD (exceeding 40 mm at most coastal stations) is significantly larger than horizontal components (about 10 mm). Significant inter-model differences in magnitude and phase exist, particularly in high-latitude (e.g., Arctic coasts) and complex terrain regions (e.g., northeastern Pacific), among which the NAO.99b model shows a phase lag of approximately 6 hours for high tides. The RMS differences in vertical OTLD relative to FES2004 exceed 3 mm for most models, with a negative correlation between model differences and regional accuracy. NAO.99b shows the largest divergence (3.77 mm RMS vertically), with overall global accuracy far inferior to the other models. EOT20 and GOT4.10c follow the second, with bigger differences of up to 3.17 mm RMS in central Pacific islands and North Atlantic coasts. TPXO9.5a and FES2014b show minimal global differences, demonstrating relatively high accuracy worldwide overall, but with localized biases of up to 2.22 mm RMS vertically in regions like southeastern Indian Ocean and southwestern Atlantic. Conclusions: The results quantify critical OTLD spatiotemporal features and intermodel variabilities, demonstrating that one single OTL model would be insufficient for global high-precision GNSS applications, especially near coasts and islands. Our analysis underscores the importance of MOT and region-specific model performance. These findings would support developing optimized, regionally adaptive OTL correction strategies to enhance GNSS positioning accuracy and millimeter-level TRF realization.

     

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