Reinforcing precipitated silica systems have a complex hierarchical structure consisting of a branched network made of connected clusters composed of small silica beads welded together into larger dense aggregates. Here, we study the evolution of such structural features during a filtration process. The typical behaviour is that the cakes formed at constant pressure do not reorganize at local scale during a filtration experiment. Accordingly, the creep resistance of a precipitated silica network is high. Overall, there is a percolation threshold, which appears when the branches are pushed into each other. Once this percolation path is reached, the cake withstands compression over more than a decade of applied pressure. Beyond, it seemed useful to make predictions of the filtration properties knowing the typical length scales small silica beads, dense aggregates, and consolidation behaviour of the cake. A simple approach introducing the concept of an effective medium approximation into Darcy's law was tested. This approach treats the network as a pseudo-continuum of porous medium built at two main length scales: the size of dense aggregates and a length scale representing the typical distance between the aggregates. The quality of the fit of experimental filtration rates by this simple model indicates that a description based on a continuous network made of two material phases is accurate. (C) 2015 Elsevier B.V. All rights reserved.