Contamination of a porous bed by a moving front with a finite porosity jump

The contamination of an initially porous bed by a moving low-concentrated suspension is studied. In the framework of a hyperbolic model taking into account large variations of porosity, several exact solutions are given to the problem with a finite porosity jump at the leading contamination front in the case of flows with plane and cylindrical waves. The fact that the particle front lags behind the carrier liquid front is explained. It is shown that the finiteness of the porosity jump at the contamination wave front causes the deceleration in the jump motion, which can be used to determine experimentally the governing parameters of the model. It is also shown that some solutions with several jumps may exist.