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根据黄河中下游的水沙特点和水库泥沙的冲淤规律，建立了黄河水库－维泥沙冲淤数学模型。模型在动床阻力、水流挟沙力、冲淤量的横向分配以及水流、泥沙控制方程的离散、求解等方面进行了探讨，用三门峡水库漳关以下库区１９７４～１９８８年的实测水沙系列对模型进行了验证计算，结果表明，模型在冲淤总量、冲淤过程以及纵向冲淤分布等方面计算值与实测值均符合良好。应用模型计算三门峡水库在四种不同运用方案下库区的冲淤情况，计算结果基本合理。
According to the characteristics of sediment and sediment in the middle and lower reaches of the Yellow River and the scouring and silting laws of reservoirs, a mathematic model of erosion and sedimentation of the Yellow River reservoir is established. The model is discussed in terms of the resistance of moving bed, the sediment carrying capacity of water flow, the horizontal distribution of scouring and silting capacity, and the discretization and solution of water flow and sediment governing equations. The measured sediment concentration in the area below Zhangzhangxia Reservoir in 1974-1988 Series of models were verified and calculated, the results show that the model in the total amount of scouring and silting, scouring and silting process and the distribution of vertical scouring calculated and measured values are in good agreement. Using the model, the eroded and silted condition of Sanmenxia Reservoir under four different application schemes is calculated, and the calculation results are basically reasonable.