从一、二、三维起始有限分布源和瞬时平面源、线源、点源相应维度扩散浓度分布的解析解出发,通过对污染物浓度分布随扩散时间变化规律的分析与比较,提出了以起始有限分布源与相应维度瞬时源扩散的最大浓度相对误差5.0％作为分类临界点;定义了Wu's数Wux、Wuy和Wuz,分别给出了一、二、三维起始有限分布源与瞬时平面源、线源、点源分类的临界Wu's数Wukl=0.77、Wuk2=0.55、Wuk3=0.44;给出了起始有限分布源简化为瞬时平面源、线源、点源扩散的判别条件Wumax≤Wuki.其结果为水质模型的分类应用和水环境风险影响预测与评价,提供理论支持.%Based on the analytical solutions of diffusion concentration distribution of the one,two and three-dimensional initial limited distribution source and the corresponding instantaneous plane,line and point source,by analyzing and comparing the law existing between pollutant concentration distribution and the variation of diffusion time,the maximum concentration relative error 5％ between the initial limited distribution source and corresponding dimension instantaneous source diffusion is proposed as the critical point of classification.Wu's numbers Wux=2a/√4Dxt,Wuy=2b/√4Dyt and Wuz=2d/√4Dxt are defined.The critical Wu's numbers Wuk1=0.77,Wuk2=0.55 and Wuk3=0.44 are respectively given to classify the one,two and three-dimensional initial limited distribution source and the instantaneous plane,line and point source.Wumax≤ Wuki is used as a criterium to judge whether initial limited distribution source can be simplified as instantaneous plane,line and point source diffusion.The results provide theoretical support for the classification and application of water quality models and the prediction and evaluation of water environmental risk impact.
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