Plugging of porous media and filters: Maximum clogged porosity

Guido Kampel*, Guillermo H. Goldsztein, Juan Carlos Santamarina

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We model porous media as two-dimensional networks of channels. As suspension flows through the network, particles clog channels. Assuming no flow through clogged channels, we determine an upper bound on the number of channels that clog and leave the network impervious. More precisely, the number of channels that clog does not exceed the number of faces of the multigraph associated with the network. In terms of d, the average coordination number of the network, the number of channels that clog does not exceed (1-2d) of the total number of channels.

Original languageEnglish (US)
Article number084101
JournalApplied Physics Letters
Issue number8
StatePublished - Mar 6 2008

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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