This article has an erratum: [https://doi.org/10.1209/0295-5075/89/59901]
Volume 87, Number 5, September 2009
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||18 September 2009|
Anomalous diffusion on clusters in steady-state two-phase flow in porous media in two dimensions
Department of Physics, Norwegian University of Science and Technology - N-7491 Trondheim, Norway
2 Numerical Rocks AS - Stiklestadveien 1, N-7041 Trondheim, Norway
Accepted: 19 August 2009
We study diffusion processes on clusters of non-wetting fluid dispersed in a wetting one flowing in a two-dimensional porous medium under steady-state conditions using a numerical model. At the critical saturation and capillary number of 10-5, where the cluster size distribution follows a power law, we find anomalous diffusion characterized by two critical exponents, = 2.35 ± 0.05 in the average flow direction and = 3.51 ± 0.05 in the perpendicular direction. We determine the conductivity exponents to be = 1.6 ± 0.2 and = 1.25 ± 0.1, respectively. The high-frequency scaling exponents of the AC conductivity we find to be =0. 37 ± 0.1 and = 0.36 ± 0.1, respectively.
PACS: 47.56.+r – Flows through porous media / 64.60.ah – Percolation / 07.05.Tp – Computer modeling and simulation
© EPLA, 2009
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