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    物理引导机器学习洪水预报模型误差传递机制研究

    Research on error propagation mechanisms in Physics-Informed Machine Learning models for flood forecastin

    • 摘要: 物理引导机器学习(PIML)洪水预报模型中机理模块传递误差对预报结果的影响机制尚不明确。为了研究这一问题,提出一种基于相似降水筛选的动态参数优化方法(S法),并基于新安江模型(XAJ模型)与卷积神经网络—长短期记忆—自注意力联合模型(CNN-LSTM-Attention)构建了4种耦合情景(XAJ、S-XAJ、XAJ-DL、S-XAJ-DL)。将这4种耦合情景在淮河流域上游开展洪水预报试验,系统研究PIML中机理模型的误差传递机制,提出了耦合模型的适用情景。结果显示:①相似降水筛选通过动态优化机理模型参数,使XAJ模型验证集纳什效率系数(NSE)值从0.76提升至0.80(相对增益5.3%);②当机理模型误差较高时(XAJ,验证集NSE为0.76),直接耦合会放大系统误差(XAJ-DL,验证集NSE为0.69),低水情景下流量高估达到23%;③动态优化机理模型参数可显著降低模型系统误差(S-XAJ,验证集NSE为0.80),阻断异常误差模式传递,耦合后S-XAJ-DL模型实现了最佳综合性能(验证集NSE为0.82)。本研究以洪水预报中常用的XAJ模型和代表性深度学习模型为案例,探索了PIML洪水预报模型中机理—数据双驱动的最优耦合情景,为抑制耦合模型的洪水预报误差提供了理论依据。

       

      Abstract: The mechanism by which the transfer error of the mechanism module in the Physics-Informed Machine Learning (PIML) flood forecasting model affects the forecast results is not yet clear. To investigate this issue, a dynamic parameter optimization method based on similar precipitation screening (S method) was proposed, and four coupled scenarios (XAJ, S-XAJ, XAJ-DL, S-XAJ-DL) were constructed using the Xin'anjiang Model (XAJ) and the Convolutional Neural Network Long Short Term Memory Self Attention Joint Model (CNN-LSTM Attention). We conducted flood forecasting experiments in the upper reaches of the Huai River Basin using these four coupling scenarios, systematically studied the error transfer mechanism of the mechanism model in PIML, and proposed the applicable scenarios of the coupling model. The results showed that: ① By dynamically optimizing the mechanism model parameters through similar precipitation screening, the Nash efficiency coefficient of the XAJ Model validation set increased from 0.76 to 0.80 (relative gain of 5.3%); ②When the error of the mechanism model is high (XAJ, validation set NSE value of 0.76), direct coupling will amplify the system error (XAJ-DL, validation set NSE value of 0.69), and the overestimation of flow rate in low water scenarios can reach 23%; ③The dynamic optimization mechanism model parameters can significantly reduce the model system error (S-XAJ, validation set NSE value of 0.80), block the transmission of abnormal error modes, and achieve the best comprehensive performance of the coupled S-XAJ-DL model (validation set NSE value of 0.82). This study takes the commonly used XAJ Model and representative deep learning model in flood forecasting as case studies to explore the optimal coupling scenario of mechanism data dual drive in PIML flood forecasting model, providing a theoretical basis for suppressing the flood forecasting error of the coupling model.

       

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