Pipe network model for scaling of dynamic interfaces in porous media

Details Pipe network model for scaling of dynamic interfaces in porous media Pipe network model for scaling of dynamic interfaces in porous media

2000-06-29

arxiv.org/abs/cond-mat/0006459v2

Phys. Rev. Lett., Vol.85, Iss.6, 1238-1241 (August 7, 2000)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 3 figures, REVTeX, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.85.1238

We present a numerical study on the dynamics of imbibition fronts in porous
media using a pipe network model. This model quantitatively reproduces the
anomalous scaling behavior found in imbibition experiments [Phys. Rev. E {\bf
52}, 5166 (1995)]. Using simple scaling arguments, we derive a new identity
among the scaling exponents in agreement with the experimental results.

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