Temporal Scaling of Interfaces Propagating in Porous Media

Abstract

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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