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集合调整卡尔曼滤波方法在M2分潮数值模拟中的水深估计研究

武浩文 赵艳玲 韩桂军 李威 曹力戈 武晓博 李超亮 李云东 周功赋

武浩文,赵艳玲,韩桂军,等. 集合调整卡尔曼滤波方法在M2分潮数值模拟中的水深估计研究[J]. 海洋学报,2022,44(6):10–21 doi: 10.12284/hyxb2022057
引用本文: 武浩文,赵艳玲,韩桂军,等. 集合调整卡尔曼滤波方法在M2分潮数值模拟中的水深估计研究[J]. 海洋学报,2022,44(6):10–21 doi: 10.12284/hyxb2022057
Wu Haowen,Zhao Yanling,Han Guijun, et al. Bathymetry estimation using ensemble adjustment Kalman filter in the numerical simulation of M2 constituent[J]. Haiyang Xuebao,2022, 44(6):10–21 doi: 10.12284/hyxb2022057
Citation: Wu Haowen,Zhao Yanling,Han Guijun, et al. Bathymetry estimation using ensemble adjustment Kalman filter in the numerical simulation of M2 constituent[J]. Haiyang Xuebao,2022, 44(6):10–21 doi: 10.12284/hyxb2022057

集合调整卡尔曼滤波方法在M2分潮数值模拟中的水深估计研究

doi: 10.12284/hyxb2022057
基金项目: 国家自然科学基金(41876014)。
详细信息
    作者简介:

    武浩文(1997—),男,天津市人,主要从事海洋数据同化研究。E-mail:2955178840@qq.com

    通讯作者:

    韩桂军(1970—),女,辽宁省新民市人,教授,主要从事海洋分析与预报研究。E-mail: guijun_han@tju.edu.cn

    李威(1978—),男,天津市人,教授,主要从事海洋数据同化、海洋数值分析和预报研究。E-mail: liwei1978@tju.edu.cn

  • 中图分类号: P731.23

Bathymetry estimation using ensemble adjustment Kalman filter in the numerical simulation of M2 constituent

  • 摘要: 数据同化利用观测信息对模型状态场调整的同时也可以对数值模型中的不确定参数进行估计,从而改进数值模型,提高数值模拟的精度。本文基于集合调整卡尔曼滤波方法,采用广义坐标系统的美国普林斯顿大学海洋模式的外模式开展了渤海和部分黄海海域M2分潮模拟中的水深估计研究。理想数据同化试验结果表明,集合调整卡尔曼滤波方法能很好地降低模式模拟的水位误差并反演出“真实”的水深参数。而在NAO.99Jb和验潮站数据的实际数据同化试验中,与验潮站数据相比较,水深参数估计后,模式模拟的M2分潮振幅与迟角误差分别降低了40.27%和49.19%。
  • 图  1  研究海域范围及各验潮站位置和编号

    黑色实线分别为20 m、40 m和60 m等深线

    Fig.  1  Study area and locations of tide gauges with numbers assigned

    The black solid lines indicate the isobaths of 20 m, 40 m, and 60 m

    图  2  基于有偏水深数据获得的水位数值模拟结果的时间平均均方根误差

    黑色实线分别为20 m、40 m和60 m等深线

    Fig.  2  Time mean root mean square error of water level simulated with biased water depths

    The black solid lines indicate the isobaths of 20 m, 40 m, and 60 m

    图  3  后验水位均方根误差(a)、后验水深参数估计偏差(b)时间序列和标准化的后验水深参数估计偏差时间序列(c)

    Fig.  3  Time series of the root mean square error for the posterior water level (a) , bias (b) and standardized bias (c) for the posterior water depth parameters

    图  4  利用真实场数据(a)、理想试验中的先验结果(b)和后验结果(c)绘制的M2分潮同潮图

    黑线为迟角,单位:(°)

    Fig.  4  Cotidal chart of M2 constituent from the truth (a), prior (b) and posterior (c)

    The black line is phase lag, unit: (°)

    图  5  后验水位均方根误差的时间序列

    Fig.  5  Time series of the root mean square error for the posterior water level

    图  6  利用NAO.99Jb数据(a)和NAO.99Jb实际数据同化试验中的先验(b)和后验(c)结果绘制的M2分潮同潮图

    黑线为迟角,单位:(°)

    Fig.  6  Cotidal chart of M2 constituent from the NAO.99Jb (a), prior (b) and posterior (c)

    The black line is phase lag, unit: (°)

    图  7  试验1(a,b)、试验2(c,d)和对比试验(e,f)的振幅(a,c,e;单位:cm)和迟角(b,d,f;单位:(°))及其在各个验潮站位置的数值相较于同化前的变化情况

    绿色表示相较于同化前误差变小,而红色表示误差变大

    Fig.  7  Amplitude (a, c, e; unit: cm) and phase lag (b, d, f; unit: (°)) from experiment 1 (a, b), experiment 2 (c, d) and NAO.99Jb data assimilation experiment (e, f), and change of errors at each tide gauge

    Green squares represent the errors are reduced and red squares represent the errors are increased with respect the prior

    图  8  模式先验、对比试验、试验1和试验2的振幅(a, b)和迟角(c, d)在验潮站位置处的均方根误差

    验潮站编号1~34与图1中对应

    Fig.  8  Amplitude (a, b) and phase lag (c, d) root mean square errors of the prior, NAO.99Jb data assimilation experiment, experiment 1, and experiment 2 with respect to the tide gauges

    The tidal gauge station numbers correspond to those in Fig.1

    表  1  理想数据同化试验中M2分潮的先验和后验振幅与迟角空间平均误差

    Tab.  1  Spatial averaged errors of amplitude and phase lag of M2 constituent from the prior and posterior in twin experiment

    振幅误差/cm迟角误差
    同化前7.612°54′
    同化后0.218′
    下载: 导出CSV

    表  2  NAO.99Jb实际数据同化试验中M2分潮的先验和后验振幅与迟角空间平均误差

    Tab.  2  Spatial averaged errors of amplitude and phase lag of M2 constituent for the prior and posterior in the NAO.99Jb data assimilation experiment

    振幅误差/cm迟角误差
    同化前26.124°46′
    同化后18.116°23′
    下载: 导出CSV

    表  3  同化前、试验1、试验2和对比试验与验潮站振幅、迟角的平均空间误差

    Tab.  3  Spatial averaged errors of amplitude and phase lag from the model, experiment 1, experiment 2 and NAO.99Jb data assimilation experiment with respect to those from tide gauges

    振幅误差/cm迟角误差
    同化前29.830°07′
    试验121.321°16′
    试验217.815°18′
    对比试验21.816°56′
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-06-22
  • 修回日期:  2021-09-03
  • 网络出版日期:  2022-02-14
  • 刊出日期:  2022-07-13

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