Wp. Johnson et al., MODELING BACTERIAL DETACHMENT DURING TRANSPORT THROUGH POROUS-MEDIA AS A RESIDENCE-TIME-DEPENDENT PROCESS, Water resources research, 31(11), 1995, pp. 2649-2658
Bacterial transport through porous media was modeled using detachment
functions that incorporate the dependence of detachment rate on bacter
ial residence time on the collector. Model parameters and the relative
merit of alternative forms for the detachment function were evaluated
on the basis of comparisons between model simulations and experimenta
lly derived bacterial breakthrough and elution curves. Only detachment
functions that provided an initial period in which bacteria were rapi
dly released, followed by slow bacterial detachment, were able to repr
oduce the elution portion of the breakthrough curves. In optimal simul
ations, 90% of the bacteria that were captured by the porous medium de
tached within 1 min of attachment. Experiments involving saturated flo
w through columns packed with sand indicated that the time to achieve
complete breakthrough was inversely related to the influent bacterial
concentration. On this basis and because of the relatively slow approa
ch to breakthrough that was typically observed in transport experiment
s, it was hypothesized that the experimental medium contained a number
of preferred attachment sites that must be essentially filled before
breakthrough is achieved. Only when such (irreversible) sorption sites
were included in the model formulations was it possible to produce tr
ansport simulations that matched both the breakthrough and elution por
tions of the empirically derived curves. It is concluded that both a t
ime-dependent detachment function and a degree of sorption site hetero
geneity are required to describe bacterial attachment and detachment d
uring transport as observed in our laboratory.