分形理论研究雨水管网分布

论述了市政雨水管网的分形特性,即管网的部分管段在某种程度七包含了整个管网的信息,与整个管刚存在统计自相似性;进而将分形理论引入到雨水管网的研究中,对其分形特性进行了分析;提出了雨水管网分形算法——盒计数法,应用于北京市周边的一些小区或村镇的雨水管网的研究中,并且计算出了各管网的分维值.借鉴河流和道路分形研究成果,探讨了雨水管网分维值与径流模数的相关关系及制约因素.同时,剖析了管网分维值所隐含的信息,提出雨水管网存在最优平面布置.

Study on the Distribution of Storm Sewer System With Fractal Theory

Some fractal characters of storm sewer system are demonstrated, i. e. the part of such a system composes the information of the whole system on a certain degree, and there is statistically self-similarity. Therefore, fractal theory is introduced to the research of storm sewer networks to analyse their fractal character. Choosing an algorithm——box-counting algorithm and applying it to the study of some storm sewer system in some Beijing suburban districts or towns, the authors have drawn out their fractal dimensions. Based on fractal study in rivers and in roads, the correlation and restriction between fractal dimensions and runoff modulus are discussed. They penetrate the concealed information beneath fractal dimension and conclude that the optimal layout maybe exist.