English

Pipe network model for scaling of dynamic interfaces in porous media

Statistical Mechanics 2009-10-31 v2 Fluid Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0006459,
  title  = {Pipe network model for scaling of dynamic interfaces in porous media},
  author = {C. H. Lam and V. K. Horváth},
  journal= {arXiv preprint arXiv:cond-mat/0006459},
  year   = {2009}
}

Comments

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