STRANGE ATTRACTORS AND CHAOS IN WASTE-WATER FLOW

被引:4
作者
ANGELBECK, DI [1 ]
MINKARA, RY [1 ]
机构
[1] OHM CORP, NORCROSS, GA 30092 USA
关键词
D O I
10.1061/(ASCE)0733-9372(1994)120:1(122)
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
This study investigates the complexity of wastewater flow phenomena using state-of-the-art chaos analysis. Techniques used are power spectrum, cor relation exponent, and Lyapunov exponent analyses. These techniques are general and can be used for other dynamic systems. The analyses provide a qualitative description of the irregular behavior of wastewater flow. Flow time series of three Ohio wastewater treatment plants are investigated. Among other things, the results indicate the presence of underlying strange attractors, which qualify the investigated flows as chaotic. These findings indicate that the structure of wastewater flow data can be very complex and that accurate prediction using stochastic models may be invalid. The procedures employed in this study can be used to evaluate flow models normally used in process control studies.
引用
收藏
页码:122 / 137
页数:16
相关论文
共 20 条
[1]  
BENETTIN GL, 1990, MECCANICA, V15, P9
[2]   THE CLIMATE ATTRACTOR OVER SHORT TIMESCALES [J].
ESSEX, C ;
LOOKMAN, T ;
NERENBERG, MAH .
NATURE, 1987, 326 (6108) :64-66
[3]   THE DIMENSION OF CHAOTIC ATTRACTORS [J].
FARMER, JD ;
OTT, E ;
YORKE, JA .
PHYSICA D-NONLINEAR PHENOMENA, 1983, 7 (1-3) :153-180
[4]   MEASURING THE STRANGENESS OF STRANGE ATTRACTORS [J].
GRASSBERGER, P ;
PROCACCIA, I .
PHYSICA D, 1983, 9 (1-2) :189-208
[5]   STRANGE ATTRACTORS THAT ARE NOT CHAOTIC [J].
GREBOGI, C ;
OTT, E ;
PELIKAN, S ;
YORKE, JA .
PHYSICA D, 1984, 13 (1-2) :261-268
[6]   AN ATTRACTOR IN A SOLAR TIME-SERIES [J].
KURTHS, J ;
HERZEL, H .
PHYSICA D, 1987, 25 (1-3) :165-172
[7]  
Malraison B., 1983, Journal de Physique Lettres, V44, P897, DOI 10.1051/jphyslet:019830044022089700
[8]   FINITE CORRELATION DIMENSION FOR STOCHASTIC-SYSTEMS WITH POWER-LAW SPECTRA [J].
OSBORNE, AR ;
PROVENZALE, A .
PHYSICA D, 1989, 35 (03) :357-381
[9]  
Press W. H., 1992, NUMERICAL RECIPES EX
[10]   CHAOS IN RAINFALL [J].
RODRIGUEZ-ITURBE, I ;
DEPOWER, BF ;
SHARIFI, MB ;
GEORGAKAKOS, KP .
WATER RESOURCES RESEARCH, 1989, 25 (07) :1667-1675