Integrating Mechanism Model with Deep Learning for Urban Flood Prediction: Accuracy,Efficiency,and Interpretability under Rain-Tide Interactions

FAN Zi-wu, WU Jing-xiu, ZHENG Shao-xu, LUAN Bin, YU Fei-long, LIU Yue, YANG Guang

Journal of Changjiang River Scientific Research Institute ›› 2026, Vol. 43 ›› Issue (6) : 127-137.

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Journal of Changjiang River Scientific Research Institute ›› 2026, Vol. 43 ›› Issue (6) : 127-137. DOI: 10.11988/ckyyb.20260049
Smart Monitoring And Early Warning Technologies

Integrating Mechanism Model with Deep Learning for Urban Flood Prediction: Accuracy,Efficiency,and Interpretability under Rain-Tide Interactions

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Abstract

[Objective] The integration of mechanism-based models and deep learning emerges as a pivotal direction in urban flood prediction. While mechanism-based models possess a robust physical foundation,their computational efficiency is often constrained under high-resolution,multi-scenario inference conditions. Conversely,purely data-driven models frequently suffer from instability in predicting deep-water inundation. Focusing on the compound scenario of urban rainfall and high Yangtze River water levels,this study aims to synergistically validate the prediction accuracy,physical rationality,and driving mechanisms of a deep learning model. It seeks to deepen the understanding of the contributions and interactions of rainfall and tidal factors across varying risk levels. [Methods] Taking the main urban area of Nanjing as the study site,this research proceeds along two main lines: “accelerated computation” and “mechanism interpretation.” First,a coupled hydrological-hydrodynamic mechanism model was constructed,calibrated,and validated to generate 72 scenarios of rainfall-tide combinations. Second,a Flood Long Short-Term Memory (Flood LSTM) network,incorporating a hybrid loss function and physical non-negative constraints,was proposed and systematically compared against various machine learning and deep learning baselines. Finally,the SHapley Additive exPlanations (SHAP) framework was introduced to identify the contributions of rainfall and tidal drivers and their evolutionary characteristics across different risk levels. [Results] The Flood LSTM model effectively reproduces spatial inundation patterns under typical rain-tide scenarios with significantly improved computational efficiency. Under identical hardware conditions,the average inference time was 9.31 s,representing only 0.50% of the computational cost of the mechanism model. The model demonstrated high accuracy,with test set RMSE,NSE,and Top-5 MAE values of 0.0108 m,0.9918 and 0.0197 m,respectively. The NSE for deep-water zones (≥1.00 m) reached 0.946 8,and the Critical Success Index (CSI) exceeded 0.85 in most scenarios. SHAP analysis revealed a distinct compound rain-tide driving characteristic in the formation of urban waterlogging. The maximum rainfall intensity change rate (RChg) and the average ebb tide rate (TFAv) were identified as key drivers. The evolution of waterlogging in Nanjing generally follows a three-stage stratified driving pattern of “Rain-Tide-Rain,” characterized by progressively increasing risk. [Conclusion] The proposed Flood LSTM model exhibits high precision in the rapid prediction of maximum urban flood inundation depths. These findings enrich the theoretical understanding of urban flood disaster mechanisms and provide a reference for rapid early warning,engineering dispatch,and refined risk management. While the model shows promise,limitations remain regarding its reliance on simulated training data and its focus on static maximum depth prediction. Future work will incorporate more field observations and dynamic process data to further enhance model applicability.

Key words

urban waterlogging / mechanism model / deep learning / physical constraint / interpretable analysis

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FAN Zi-wu , WU Jing-xiu , ZHENG Shao-xu , et al . Integrating Mechanism Model with Deep Learning for Urban Flood Prediction: Accuracy,Efficiency,and Interpretability under Rain-Tide Interactions[J]. Journal of Changjiang River Scientific Research Institute. 2026, 43(6): 127-137 https://doi.org/10.11988/ckyyb.20260049

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