| To address the issue that the traditional linear interpolation water level model exhibits low accuracy due to its neglect of tidal
propagation direction, this paper presents a linear interpolation method incorporating tidal propagation direction. Firstly, based on synchronous observation data from tide gauge stations in the survey area, the propagation direction of tidal waves is derived by analyzing the tidal propagation time differences among three stations. Subsequently, a propagation direction correction term is introduced into the classical linear interpolation model to construct a water level interpolation model accounting for tidal wave propagation characteristics, enabling high-precision water level calculation. Experimental results demonstrate that: when tidal properties in the survey area are similar, the water level error of the traditional linear interpolation method approximately ranges ±12.5 cm, which is reduced to ±3 cm after propagation direction correction, representing an approximately 70% improvement in accuracy comparable to the time-difference method and difference-ratio method; when significant tidal property variations exist across the region, the error of the traditional method expands to ±65 cm, whereas the proposed method controls the error within ±5 cm, showcasing remarkable accuracy enhancement. This approach effectively overcomes the limitations of traditional linear interpolation models and provides a novel technical pathway for improving the applicability of tidal level interpolation methods. |
