Plugging of porous media and filters: Maximum clogged porosity

Guido Kampel; Guillermo H. Goldsztein; Juan C. Santamarina

doi:10.1063/1.2883947

Plugging of porous media and filters: Maximum clogged porosity

Guido Kampel^*, Guillermo H. Goldsztein, Juan C. Santamarina

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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 language	English (US)
Article number	084101
Journal	Applied Physics Letters
Volume	92
Issue number	8
DOIs	https://doi.org/10.1063/1.2883947
State	Published - 2008
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1063/1.2883947

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title = "Plugging of porous media and filters: Maximum clogged porosity",

abstract = "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.",

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AU - Goldsztein, Guillermo H.

AU - Santamarina, Juan C.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

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DO - 10.1063/1.2883947

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JO - Applied Physics Letters

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Plugging of porous media and filters: Maximum clogged porosity

Abstract

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