Experiments were carried out to determine the breakthrough of bacteria
through a saturated aquifer sand at three flow velocities and three c
ell concentrations. Bacteria were either suspended in deionized water
or 0.01 mol L(-1) NaCl solution. Bacterial transport was found to incr
ease with flow velocity and cell concentration but was significantly r
etarded in the presence of 0.01 mol L(-1) NaCl. A mathematical model b
ased on the advection-dispersion equation was formulated to describe b
acterial transport and retention in porous media. The transport equati
ons for bacteria were solved using the finite difference Crank-Nicolso
n scheme combined with Newton-Raphson iterations. The best fit of the
numerical model to the experimental data was obtained using the downhi
ll simplex optimization technique to minimize the sum of the squares o
f deviations between model predictions and experimental data by varyin
g three parameters. This numerical model was found to describe the exp
erimental data very well under all the experimental conditions tested.
An alternative model (also based on the advection-dispersion equation
) was tested against all the experimental data sets, but it did not re
present the experimental data as well as the model proposed in this pa
per.