Temporal Scaling of Interfaces Propagating in Porous Media

Details Temporal Scaling of Interfaces Propagating in Porous Media Temporal Scaling of Interfaces Propagating in Porous Media

1996-06-18

arxiv.org/abs/cond-mat/9606130v1

Phys.Rev.E 52 (1995) 5166-5169

Physics

Condensed Matter

ReVTeX, 5 pages, 4 EPS figures

Scientific paper

10.1103/PhysRevE.52.5166

To better understand the temporal behavior of a roughening meniscus driven by capillary forces during the imbibition of a viscous fluid in porous media, we measure the height-height autocorrelation function $C(t)$ using a constant driving force. We find $C(t)\sim t^{\beta}$, with $\beta = 0.56\pm 0.03$, and provide the first experimental evidence for driving force independent temporal scaling behavior of a propagating wetting front in the presence of quenched noise. We interpret the value of ${\beta}$ in terms of the possibility that the dynamics may be governed by nonvanishing non-linearity due to anisotropic depinning.

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