Physics – Fluid Dynamics
Scientific paper
2011-11-13
Geophysical Journal International (2011), 186: 1064-1072
Physics
Fluid Dynamics
This is a draft version of an article published in Geophys. J. Int.; 10 pages, 15 figures
Scientific paper
10.1111/j.1365-246X.2011.05126.x
Natural open joints in rocks commonly present multi-scale self-affine apertures. This geometrical complexity affects fluid transport and heat exchange between the flow- ing fluid and the surrounding rock. In particular, long range correlations of self-affine apertures induce strong channeling of the flow which influences both mass and heat advection. A key question is to find a geometrical model of the complex aperture that describes at best the macroscopic properties (hydraulic conductivity, heat exchange) with the smallest number of parameters. Solving numerically the Stokes and heat equa- tions with a lubrication approximation, we show that a low pass filtering of the aperture geometry provides efficient estimates of the effective hydraulic and thermal properties (apertures). A detailed study of the influence of the bandwidth of the lowpass filtering on these transport properties is also performed. For instance, keeping the information of amplitude only of the largest Fourier length scales allows us to reach already an accuracy of 9% on the hydraulic and the thermal apertures.
Neuville Amélie
Schmittbuhl Jean
Toussaint Renaud
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