Flow in Rough Self-Affine Fractures Joints

Details Flow in Rough Self-Affine Fractures Joints Flow in Rough Self-Affine Fractures Joints

2006-08-30

arxiv.org/abs/cond-mat/0608654v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

We investigate viscous and non-viscous flow in two-dimensional self-affine fracture joints through direct numerical simulations of the Navier-Stokes equations. As a novel hydrodynamic feature of this flow system, we find that the effective permeability at higher Reynolds number to cubic order, falls into two regimes as a function of the Hurst exponent $h$ characterizing the fracture joints. For $h>1/2$, we find a weak dependency whereas for $h<1/2$, the dependency is strong. A similar behavior is found for the higher order coefficients. We also study the velocity fluctuations in space of a passive scalar. These are strongly correlated on smaller length scales, but decorrelates on larger scales. Moreover, the fluctuations on larger scale are insensitive to the value of the Reynolds number.

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