分形维数在林芝市排水管网规划中的应用研究

采用盒维数和长度-半径维数对林芝市中心城区的污水收集系统与雨水收集系统开展研究,对排水管网的盒维数分析发现:污水系统为1.397 7,相关系数为0.998 4;雨水系统为1.337 5,相关系数为0.998 3。而对排水管网的长度-半径维数分析可知:污水系统为1.132 7,相关系数为0.970 2;雨水系统为1.134,相关系数为0.968 8。结果表明:林芝市中心城区的排水管网已呈现出明显的分形特征,但排水管网布置及功能需进一步完善,密度及复杂度还需加强,采用盒维数对该区域的排水管网开展研究更合适。

Application of fractal dimension in drainage pipe network planning in Linzhi City

The box dimension and length-radius dimension are used to study the sewage collection system and rainwater collection system in the downtown area of Linzhi City,Tibet.The box dimension analysis of the drainage pipe network shows that the sewage system is 1.397 7,the correlation coefficient is 0.998 4,and the rainwater system is 1.337 5,the correlation coefficient is 0.998 3.The analysis of the length-radius dimension of the drainage pipe network shows that the sewage system is 1.132 7,the correlation coefficient is 0.970 2,and the rainwater system is 1.134,the correlation coefficient is 0.968 8.The results indicate that the drainage pipe network of the downtown area of Linzhi City has shown obvious fractal features,but the layout and function of the drainage pipe network need to be further improved,and the density and complexity need to be strengthened.It is more suitable to carry out research on the drainage pipe network of the area by using the box dimension.