Trapping thresholds in invasion percolation

Lincoln Paterson; Adrian P. Sheppard; Mark A. Knackstedt

doi:10.1103/PhysRevE.66.056122

Trapping thresholds in invasion percolation

Lincoln Paterson, Adrian P. Sheppard, Mark A. Knackstedt

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

11 Citations (Scopus)

Abstract

We give numerical estimates for the site percolation trapping thresholds for invasion percolation on various three dimensional lattices. We find that in most cases the thresholds for invasion and ordinary percolation coincide. However, for coordination numbers less than five the thresholds diverge. Since most rock networks exhibit coordination numbers less than five the rules for simulating residual saturation in porous rocks must be chosen carefully.

Original language	English
Pages (from-to)	6
Number of pages	1
Journal	Physical Review E
Volume	66
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.66.056122
Publication status	Published - 21 Nov 2002

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abstract = "We give numerical estimates for the site percolation trapping thresholds for invasion percolation on various three dimensional lattices. We find that in most cases the thresholds for invasion and ordinary percolation coincide. However, for coordination numbers less than five the thresholds diverge. Since most rock networks exhibit coordination numbers less than five the rules for simulating residual saturation in porous rocks must be chosen carefully.",

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AB - We give numerical estimates for the site percolation trapping thresholds for invasion percolation on various three dimensional lattices. We find that in most cases the thresholds for invasion and ordinary percolation coincide. However, for coordination numbers less than five the thresholds diverge. Since most rock networks exhibit coordination numbers less than five the rules for simulating residual saturation in porous rocks must be chosen carefully.

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Trapping thresholds in invasion percolation

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