Flow-through column experiments are intended to provide a more realistic simulation of dynamic field conditions and to quantify the movement of contaminants relative to groundwater flow.
Flow-through column experiments are often a step in-between batch experiments, which only test the performance of a specific chemical formulation of a remediation agent (e.g. surfactant, or solvent), and more complicated flume or tank experiments which are the last laboratory step before a test in the field. The column experimetns are less effort than a flume test, but test also aspects of the chemical formulation and the displacement processes happening inside the porous medium itself.
Column experiments provide a way to quantify either reaction or sorption rate kinetics for a porous medium. I think this is the primary reason for using them.
The links below give you some spreadsheet models for saturated flow porous medium in a vertical column and variability saturated flow in a horizontal tube and Darcy experiment. I think they can be extended to simulate contaminant transport.