ABSTRACT

The semiempirical approaches result either from very simplified physical filtration models (based on a spherical collector or on a tube model for the filter bed) or from a dimensional analysis. Hereby, the so-called classical mechanisms of deep bed filtration are mainly considered for the transport of particles to the surface of the filter material. The better agreement between such theoretical simulations and experiments was obtained by considering a particle adhesion probability < 100%. Thus, to simulate the dynamic phase of deep bed filtration on a very fundamental basis, there still remains a lot of work to be done in the future. In the same way, particle adhesion is improved by higher amounts of adsorbed polyelectrolytes; however, it was observed that smaller amounts mainly enhance the particle transport mechanisms. But such effects, which may be quite important (especially for practical conditions), are not yet predictable on the basis of a fundamental theory for the dynamic phase of deep bed filtration.