The purpose of this research is to estimate the unknown parameters of a mat
hematical model of the biodegradation of volatile organic compounds (VOCs)
in a gas phase trickle-bed biofilter, using experimental results from a two
-reactor pilot-scale system treating the VOC diethyl ether. The model consi
ders a dynamic three-phase system, (biofilm, water, and gas), nonuniform ba
cterial population, and one limiting substrate. The nonlinear parameter est
imation was done in two stages: estimates of the steady-state model paramet
ers were obtained first, and then, these values were used in the estimation
of the remaining parameters. Experimentally obtained biofilter performance
curves and batch tests were used for the estimation of the steady-state pa
rameters: maximum rate of substrate utilization (mu(m)X(f)/Y), Monod consta
nt (K-s), and biofilm/water diffusivity ratio for ether, r(d). Dynamic biof
ilter performance data were used to obtain the estimates of the six remaini
ng parameters: yield coefficient(Y). maximum growth rate (mu(m)), rate of d
ecay (k(d)), rate of biomass maintenance (b), initial fraction of active bi
omass (f(a0) = X-f/rho(S)), and coefficient of detachment (C-deT). Using th
e biofilter performance curves, the value of mu(m)X(f)/Y was uniquely deter
mined, but the estimates of the parameters K-s and r(d) were highly correla
ted. High values of K(s)and r(d) gave similar results as low values of both
parameters. Batch tests using the bacterial population from the reactor an
d ether as the only substrate were used to determine the value of K-s witho
ut diffusional interferences.