杭州西湖换水的数学模型

A MATHEMATICAL MODEL FOR REPLACING THE WATER OF THE XIHU LAKE IN HANGZHOU

为了改善西湖水质,杭州市开凿隧洞,引钱塘江之流换西湖之水。本文建立江水入湖后混合流运动的数学模型,表达了湖水更换的基础规律,指出湖水中物质(浓度)的变化随引水量的增加而呈负指数的规律减少,利用电阻率法对西湖换水全过程的监测,其结果也证实了数学模型反映换水规律的正确性。此外,文章还从数学模型出发,探讨了换水时较经济合理的方法。

In order to improve the water quality of the Xihu Lake, a diversion was dug to divert water from Qiantangjiang River into the Xihu Lake in Hangzhou. A mathematical pattern of mixed running motion after the water exchange of fhe Xihu Lake has been set up in this paper. The pattern states clearly the fundamental law for the water exchange of the Xihu Lake and points out that the consistency of the matter in the lake decreases at negative index law with the monitoring the increase amount of the water diversion. In the, process of water exchange of the Xihu Lake the method of the apparent resistivity has been used and the results have proved the correctness of the law of the water exchange according to the mathematical pattern. In addition, more rational economical methods in the process of the water exchange are examined。