从三维对流一扩散方程出发,推导包含底泥污染的水质控制方程,并与浅水流动方程耦合,建立相应的浅水湖泊平面二维水流.水质一底泥污染的数学模型。运用伽辽金加权余量法推导出数学模型方程组的有限元公式,开发了实时二维水动力、水质模型。利用模型计算玄武湖混合流、水质动态变化过程,结果与实测值较吻合,从而为浅水湖泊混合流、包含底泥污染的水质模拟提供了一种可操作的新途径。
A water quality governing equation including sediment pollutions is derived based on the 3D advection-dispersion equation in shallow lakes. Coupled with the shallow water flow governing equations, a plane depth-averaged 2D flow-water quality-sediment pollution coupled model is developed. A finite element formulation is established by using the method of Galerkin weighted residuals. A 2D real-time model for flow-water quality is developed. The simulated the dynamic hydrologic and water quality process changes with time by using the developed model. The simulated results match the measured data well, which are proved reasonable. The study provides a new approach and a practical tool for admixture flow and water quality simulation with the sediment pollutions in the shallow lake.