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顾及潮汐传播方向的多站水位线性内插方法
Linear interpolation method of multi-station water level considering tidal propagation direction
投稿时间:2025-03-24  修订日期:2025-09-15
DOI:
中文关键词:  水位改正  线性内插  时差法  最小二乘  潮汐传播方向
英文关键词:water level correction  linear interpolation  time difference method  least squares  tidal propagation direction
基金项目:山东省自然科学基金(ZR2022QD008);公益性科研院所基本科研业务费专项基金 TKS20240303
作者单位邮编
高兴国 山东电力工程咨询院有限公司 250013
曲萌 山东电力工程咨询院有限公司 
丁加豪 山东科技大学测绘与空间信息学院 
卜宪海* 山东科技大学测绘与空间信息学院 266590
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中文摘要:
      针对常规线性内插水位模型未考虑潮汐的传播方向导致的水位精度较低的问题,本文提出一种顾及潮汐传播方向的线性内插方法。首先,基于测区验潮站同步观测数据,利用三个验潮站之间的潮汐传播时差,推导了潮汐传播方向;然后,在顾及潮汐的传播方向后,对常规线性内插模型进行改进,进而计算更为精确的水位数据。最后,基于实测水位数据进行验证,结果表明:在本文实验数据下,常规线性内插法获取的水位数据的精度约为8.4 cm,当顾及潮汐的传播方向后,水位精度约为3 cm,提升约64%,其精度与时差法、差比法接近;在运行时间上,时差法和差比法耗时分别为0.87 s和0.83 s,本文方法和常规线性内插法耗时接近,分别为0.68 s和0.72 s,优于时差法和差比法。因此,提出方法可有效弥补传统线性内插法的局限性,对提高传统线性内插法的适用性具有一定参考意义。
英文摘要:
      Aiming at the problem that the conventional linear interpolation water level model does not consider the direction of tidal propagation, which leads to the low accuracy of water level, this paper proposes a linear interpolation method considering the direction of tidal propagation. Firstly, based on the synchronous observation data of the tidal stations in the survey area, the tidal propagation direction is derived by using the tidal propagation time difference between the three tidal stations. Then, after taking into account the direction of tidal propagation, the conventional linear interpolation model is improved to calculate more accurate water level data. Finally, based on the measured water level data, the results show that under the experimental data in this paper, the accuracy of the water level data obtained by the conventional linear interpolation method is about 8.4 cm. When taking into account the direction of tidal propagation, the accuracy is about 3 cm, which is about 64 % higher than that of the time difference method and the difference ratio method. In terms of running time, both the time difference method and the difference ratio method take about 0.9 s, and the method in this paper takes about 0.8 s, which is better than the time difference method and the difference ratio method. Therefore, the proposed method can effectively make up for the limitations of the traditional linear interpolation method, and has certain reference significance for improving the applicability of the traditional linear interpolation method.
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