Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-11-24
Phys. Rev. E 73, 026306 (2006)
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 pages, 11 figures. Minor corrections. Accepted for publication in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.73.026306
We report numerical studies of the cluster development of two-phase flow in a steady-state environment of porous media. This is done by including biperiodic boundary conditions in a two-dimensional flow simulator. Initial transients of wetting and non-wetting phases that evolve before steady-state has occurred, undergo a cross-over where every initial patterns are broken up. For flow dominated by capillary effects with capillary numbers in order of $10^{-5}$, we find that around a critical saturation of non-wetting fluid the non-wetting clusters of size $s$ have a power-law distribution $n_s \sim s^{-\tau}$ with the exponent $\tau = 1.92 \pm 0.04$ for large clusters. This is a lower value than the result for ordinary percolation. We also present scaling relation and time evolution of the structure and global pressure.
Hansen Angela
Ramstad Thomas
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