Gradient Clogging in Depth Filtration

Details Gradient Clogging in Depth Filtration Gradient Clogging in Depth Filtration

1998-01-14

arxiv.org/abs/cond-mat/9801147v1

Phys. Rev. E 58 R1203-R1206 (1998).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, RevTeX

Scientific paper

10.1103/PhysRevE.58.R1203

We investigate clogging in depth filtration, in which a dirty fluid is ``cleaned'' by the trapping of dirt particles within the pore space during flow through a porous medium. This leads to a gradient percolation process which exhibits a power law distribution for the density of trapped particles at downstream distance x from the input. To achieve a non-pathological clogging (percolation) threshold, the system length L should scale no faster than a power of ln w, where w is the width. Non-trivial behavior for the permeability arises only in this extreme anisotropic geometry.

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