人工智能技术(AI)在水沙数学模型中的应用OA
Application of artificial intelligence in mathematical models of sediment transport
水沙数学模型以物理方程为基础,是研究水沙运动规律、支撑流域治理与水利水电工程建设的重要工具.传统数值方法受限于计算效率,难以满足数字孪生等新场景对实时、高效预测与智能决策的需求.针对这一问题,本文围绕数据同化、数据驱动神经网络与物理驱动神经网络三条技术路线,构建输入边界与参数、控制方程和输出结果的分析框架,系统梳理人工智能技术在水沙数学模型中的研究进展.结果表明:(1)数据同化方法可有效抑制初始和边界条件误差传播,提升预报的稳定性与精度;(2)数据驱动神经网络模型能显著缩短计算时长,适用于短时间临时预报等场景;(3)物理驱动神经网络在数据稀缺条件下具备更好的物理一致性,但在高维、多尺度问题中面临收敛与精度受限的挑战.基于此,本文提出面向工程应用的融合思路:以物理-数据混合驱动为核心,结合数据同化实现在线校正,以期兼顾计算效率与精度,为数字孪生水沙系统的实时更新与智能决策提供参考.
Mathematical models of sediment transport,grounded in physical governing equations,are essential tools for understanding sediment transport processes and supporting basin management and hydraulic engineering.How-ever,conventional numerical methods are often constrained by computational efficiency and thus struggle to meet the demands of emerging scenarios such as digital twins for real-time,high-efficiency prediction and intelligent decision-making.To address this issue,this study reviews three technical routes-data assimilation,data-driven neural net-works,and physics-informed neural networks-within an analytical framework that spans input boundaries and param-eters,governing equations,and model outputs.The results show that:(1)data assimilation can effectively suppress the propagation of errors in initial and boundary conditions,enhancing forecast stability and accuracy;(2)data-driven neural networks can markedly reduce computation time and are suitable for short-term,rapid prediction tasks;and(3)physics-informed neural networks demonstrate better physical consistency under data-scarce condi-tions but face challenges in convergence and accuracy when addressing high-dimensional,multi-scale problems.Based on these findings,this paper proposes an integrated approach oriented to engineering applications,which cen-ters on hybrid physics-data modeling combined with online correction through data assimilation,aiming to balance efficiency and accuracy and to provide a reference for real-time updating and intelligent decision-making in digital-twin sediment-water systems.
方红卫;张文俊
清华大学水利水电工程系,北京 100084||南方科技大学,广东 深圳 518055清华大学水利水电工程系,北京 100084
天文与地球科学
水沙数学模型人工智能数据同化数据驱动神经网络物理信息神经网络
mathematical model of sediment transportArtificial Intelligencedata assimilationdata-driven neural networkphysics-informed neural network
《水利学报》 2026 (6)
809-820,12
国家自然科学基金重大项目(52595701)国家重点研发计划项目(2022YFC3201800)深圳市杰出人才支持计划项目(202109)
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