微分形式垂向混合产流模型及应用研究  

Differential Form Vertically-Mixed Model and Its Application Research

作　　者：陈媛 王甫志 马梦园 黄嘉璐 王军[2] 赵建飞 梁忠民[2] CHEN Yuan;WANG Fuzhi;MA Mengyuan;HUANG Jialu;WANG Jun;ZHAO Jianfei;LIANG Zhongmin(CHN Energy Dadu River Big Data Service Co.,Ltd.,Chengdu 610041,Sichuan,China;College of Hydrology and Water Resources,Hohai University,Nanjing 210024,Jiangsu,China)

机构地区：[1]国能大渡河大数据服务有限公司,四川成都610041 [2]河海大学水文水资源学院,江苏南京210024

出　　处：《水力发电》2025年第4期1-5,共5页Water Power

基　　金：国家自然科学基金资助项目(52379007);中央高校基本科研业务费专项资金资助(B240201164)。

摘　　要：垂向混合产流模型(VMR)是我国半湿润和半干旱地区的常用水文模型,但其数学形式为一阶差分代数方程,求解时不可避免引入数值误差,影响模型精度。为了有效控制数值求解误差,推导了垂向混合产流模型的微分方程,建立了微分形式的垂向混合产流模型(ODE-VMR),通过数值试验验证了ODE-VMR的理论正确性。蒙阴流域应用示例表明,ODE-VMR可有效降低数值误差,提升模拟精度,成果可为半湿润和半干旱地区水文模型研究提供新的途径。The vertically-mixed runoff(VMR)model is a commonly used hydrological model in semi-humid and semi-arid regions of China.However,its mathematical form is first-order difference equations,which inevitably introduces numerical errors during the solution procedure,affecting the model's accuracy.To effectively control the numerical solution errors,this study derives the differential equations of the VMR model and establishes a differential form of the vertically-mixed runoff model(ODE-VMR).The theoretical correctness of the ODE-VMR is verified by numerical experiment.Application example of Mengyin Watershed indicates that ODE-VMR can effectively reduce numerical errors and improve simulation accuracy,which offers a new approach to the research of hydrological modeling in semi-humid and semi-arid regions.

关 键 词：垂向混合产流模型 数值求解误差 差分/微分形式水文模型 蒙阴流域 

分 类 号：TV314[水利工程—水工结构工程]