Modelling the transition between deposition modes in deep bed filtration

In deep bed filtration different mechanisms are dominant in the initial and latter stages, therefore different models are needed to describe these two situations. This raises the question of how to combine the two models into one composite model. A technique is described whereby models for the initial and latter stages of removal in deep bed filtration can be smoothly linked together. The efficacy of the method is demonstrated with both simple and complex mathematical models of removal in filtration, and with experimental data.