应用数学和力学2025，Vol.46Issue(9)：1218-1232,15.DOI:10.21656/1000-0887.450322
基于有效悬浮功理论下小浪底库区异重流运动特征
Characteristics of Turbidity Currents in the Xiaolangdi Reservoir Considering Sediment Effective Power
摘要
Abstract
Turbidity currents in reservoirs are significant for improving reservoir utilization efficiency,efficient sediment discharge,and extending the reservoir lifespan.They are also crucial in water and sediment regulation schemes for sediment-laden rivers.The governing equations for turbidity currents were established and the evolu-tion characteristics of turbidity currents in the Xiaolangdi Reservoir were analyzed through integration of the ef-fective suspension power theory and the self-similarity theory for turbidity currents.The results indicate that,the turbidity current in Xiaolangdi Reservoir exhibits 3 distinct evolutionary states:attenuation,self-suspension,and activation.During its longitudinal evolution,there exists a critical position x0c.Upstream of x0c,the turbidity cur-rent thickness,sediment concentration,and flow velocity exhibit minimal responses to changes in particle sizes,slopes,and resistance coefficients.Downstream of x0c,the turbidity current thickness increases rapidly with the rises in particle sizes,slopes,and resistance coefficients.An increase or decrease in particle sizes can cause the turbidity current to transition from the activation state to the attenuation or self-suspension state,respectively.When the slope exceeds the critical value,the turbidity current will transition to the activation state.When the re-sistance coefficient will surpass the critical resistance coefficient,and the turbidity current will gradually transi-tion to the attenuation state,whereas a resistance coefficient below the critical value will make the turbidity cur-rent maintain in its original state.As the Richardson number decreases at the plunging point,the growth rate of the turbidity current thickness downstream ofx0c will slow,the stability of the turbidity current will weaken,and the turbidity current will transition to the attenuation state.In the activation state,the flow velocity of the turbid-ity current will increase downstream of x0c.These findings provide a theoretical foundation for understanding the movement characteristics of reservoir turbidity currents and offer theoretical support for developing regulation schemes during water and sediment management in sediment-laden river reservoirs.关键词
水库异重流/小浪底水库/有效悬浮功/自相似/多沙河流Key words
turbidity current/Xiaolangdi Reservoir/sediment effective power/self-similarity/sediment-laden river分类
建筑与水利引用本文复制引用
李彬,万占伟,高兴,李树森,白玉川,鲁俊..基于有效悬浮功理论下小浪底库区异重流运动特征[J].应用数学和力学,2025,46(9):1218-1232,15.基金项目
"十四五"国家重点研发计划课题(2023YFC3206703) （2023YFC3206703）
国家自然科学基金(51979185) （51979185）
黄委优秀人才科技项目(HQK-202319) 本文作者衷心感谢黄河勘测规划设计研究院有限公司自立科研项目(2025KY001)对本文的资助. （HQK-202319）
