污水流量序列关联维数的计算

周玉文; 刘兴坡

污水流量序列关联维数的计算

周玉文¹,
刘兴坡²

1. 北京工业大学建筑工程学院, 北京 100022;
2. 北京工业大学环境与能源工程学院, 北京 100022

基金项目:

北京市教委科技发展计划基金资助项目(05004790200201).

详细信息

作者简介:
周玉文(1952-),男,辽宁兴城人,教授,博士,博士生导师.

中图分类号: TU992
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出版历程
- 收稿日期: 2003-12-22
- 网络出版日期: 2022-11-02

Calculation of the Correlative Dimension of Daily Sewage Flow Series

ZHOU Yu-wen¹,
LIU Xing-po²

1. College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100022, China;
2. College of Environment and Energy Engineering, Beijing University of Technology, Beijing 100022, China

摘要

摘要: 为了获得污水管网非恒定流模拟精度要求的节点流量过程线,应用分形理论对污水流量序列的变化特性进行研究,并初步分析其中是否存在分形特征.首先,应用延迟时间法(G-P法)重构污水流量序列的相空间,计算关联维数;然后对北京市2个污水处理厂日进厂流量记录进行了研究.为了得到可靠的关联维数,分别研究了时间滞时τ=△t和τ=4△t 2种情况.研究结果表明:①污水流量序列中存在分形特性;②τ=△t时,lnC(r,M)~ln r曲线存在明显的直线段,能够估计到饱和时的关联维数:0.49(污水厂A)和0.53(污水厂B);③τ=4△t时,lnC(r,m)~ln r曲线也存在较为明显的直线段,关联维数为0.75(污水厂A)和0.44(污水厂B);④2个污水流量序列的关联维数定量地说明污水厂流量来源较单一.
- 污水管网 /
- 节点流量 /
- 污水流量序列 /
- 时间尺度 /
- 分形维数 /
- 关联维数
Abstract: In order to obtain the nodal hydrograph suitable for the unsteady flow simulation of urban sanitary sewer networks, the study on the dynamic characteristics of sewage flow series is conducted using fractal theory so as to judge whether there are fractal traits. Firstly, the delayed-time method is used to reconstruct the phase space of sewage flow series and calculate the correlative dimension. Then case studies are carried out based on the daily flow records derived from two wastewater treatment plants (WWTPs) in Beijing. In addition, the correlative dimensions are calculated respectively according to the delayed-time τ =Δt and τ = 4Δt. The results indicate that (1) the fractal traits exist in sanitary flow series; (2) the distinct linear section occurs within ln C(r, m) - ln r curv.es and the correlative dimension is 0.49 for WWTP A and 0.53 for WWTP B when τ= Δt;(3) the distinct linear section also occurs in ln C(r, m) - ln r curves whenτ = 4 Δt and the correlative dimension is 0.75 for WWTP A and 0.44 for WWTP B;(4) the correlative dimensions of the flow series quantitatively show that the flow source of WWTP is simplex.
- sanitary sewer networks /
- nodal flow /
- sewage flow time series /
- temporal scale /
- fractal dimension /
- correlative dimension

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参考文献(13)

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污水流量序列关联维数的计算

作者简介: 周玉文(1952-),男,辽宁兴城人,教授,博士,博士生导师.

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出版历程

Calculation of the Correlative Dimension of Daily Sewage Flow Series

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出版历程

目录

作者简介:
周玉文(1952-),男,辽宁兴城人,教授,博士,博士生导师.