A. Worman et V. Cvetkovic, SYSTEM HETEROGENEITY AS VARIABLE FOR SOLUTE TRANSPORT IN STREAMS, Journal of hydraulic engineering, 121(11), 1995, pp. 782-791
Contaminant migration in streaming waters is characterized by a large
number of physical and biochemical transfer mechanisms that often exhi
bit marked spatial and temporal variabilities. To quantify the mass tr
ansport and particularly the mass retention in bed sediments and biota
, a process-based description needs to be combined with a stochastic i
nterpretation of the constitutive parameters of the problem. In this s
tudy, constitutive parameters are conceived as stochastic fields in bo
th space and time. Evaluation of phosphorus transport in a small strea
m in Sweden indicates that the heterogeneity (covariance structure) of
partitioning with respect to solute/particulate adsorption and bed re
tention imposes significant effects on both statistically expected pre
dictions and confidence intervals. Specifically, the temporal and spat
ial variability found for the partition coefficient was sufficiently p
ronounced to motivate that the coefficient is represented as an anisot
ropic random field in space and time. An analytical solution to the in
ternal turnover mechanisms indicates that the effects of system hetero
geneity increase markedly with time.