Improved population balance model for straining-dominant deep bed filtration using network calculations

Colloidal-suspension flow in porous media is modelled simultaneously by the large scale population balance equations and by the microscale network model. The phenomenological parameter of the correlation length in the population balance model is determined from the network modelling. It is found out that the correlation length in the population balance model depends on the particle size.

This dependency calculated by two-dimensional network has the same tendency as that obtained from the laboratory tests in engineered porous media.