倾斜岸坡深度平均浓度分布及污染混合区解析计算

倾斜岸坡深度平均理论对其水质模型的构建、验证和参数率定具有十分重要的指导作用。在等强度连续点源岸边排放条件下,对倾斜岸坡深度平均浓度分布及污染混合区的几何特征参数进行了理论求解和曲线拟合。分别给出了深度平均浓度分布方程、深度平均污染混合区最大长度、最大宽度和相应纵向坐标、面积和面积系数的计算公式以及外边界标准曲线方程。分析表明,倾斜岸坡水体中污染物扩散宽度远大于扩散深度,对同一岸坡倾角的深度平均污染混合区形状具有相似性。提出了岸坡倾角分区的简化条件和相应污染混合区几何特征参数的计算公式,可为倾斜岸坡河流和水库深度平均浓度分布、污染混合区几何尺度和控制排污量的计算,提供科学依据。

Analytical calculation of the depth-averaged concentration distribution and pollutant mixing zone for sloped bank

Analytical theory about the concentration distribution averaged in depth for slope bank is critical principle for the developing, validation and calibration of water-quality model. Under the conditions of equal strength, continuous point bank side discharge source, theoretical depth-averaged concentration distri-bution and geometrical feature parameters of pollution mixing zone in sloped-bank water body are obtained and fitted by curves. The computational formulas for the depth-averaged concentration distribution,depth-av-eraged pollutant mixing zone's maximum length, maximum width and their corresponding x-coordinates, ar-ea,area coefficient and outer boundary standard curve equation are proposed. The results show that the pol-lutants diffuse much more in width than in depth in sloped-bank water, and the water bodies with the same sloped angle show similarity in the shape of the depth-averaged pollutant mixing zone. The paper pres-ents simplification criteria for the sloped-angle partition and computational formulas for the corresponding pollutant mixing zone. It provides scientific principles for the calculation of the depth-averaged concentra-tion distribution in rivers and reservoirs, the geometrical parameter of the pollutant mixing zone, and the controlled discharge rate.