Optimal Bounds on the Trapping Constant and Permeability of Porous Media

Details Optimal Bounds on the Trapping Constant and Permeability of Porous Media Optimal Bounds on the Trapping Constant and Permeability of Porous Media

2004-01-08

arxiv.org/abs/cond-mat/0401131v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevLett.92.255505

We derive exact expressions for so-called ``void'' bounds on the trapping constant $\gamma$ and fluid permeability $k$ for coated-spheres and coated-cylinders models of porous media. We find that in some cases the bounds are optimal, i.e., the void bounds coincide with the corresponding exact solutions of $\gamma$ and $k$ for these coated-inclusions models. In these instances, exact expressions are obtained for the relevant length scale that arises in the void bounds, which depends on a two-point correlation function that characterizes the porous medium. In contrast to bounds on the effective conductivity and elastic moduli of composite media, this is the first time that model microstructures have been found that exactly realize bounds on either the trapping constant or fluid permeability.

Affiliated with

Also associated with

No associations

Rating

Optimal Bounds on the Trapping Constant and Permeability of Porous Media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Optimal Bounds on the Trapping Constant and Permeability of Porous Media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal Bounds on the Trapping Constant and Permeability of Porous Media will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-62731