This work presents a mini-review of the various theories in previous litera
ture while considering the transport processes in filter cakes during filtr
ation and consolidation. The development of the conventional two-resistance
theory (referred to herein as conventional theory) is initially discussed
based on different types of power-law constitutive equations. Multi-phase t
heory is then described, along with the criticisms raised by Willis el al.
over the past two decades. Also discussed herein is the validity of some fr
equently adopted assumptions in filtration studies. Implications of the fil
tration/consolidation theory to sludge dewatering are finally made. (C) 199
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