Tracing interfaces in porous media

Rafael Rangel and J Rivero

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 253-257

Abstract: The geometry of the interface of clusters growing under both pressure gradients and capillary forces in porous media is mapped into a single value function by tracing the surface of the aggregate and recording the Y coordinate of the position of a walker moving along the perimeter of the clusters as a function of the arc length l. We find a crossover behavior in the Hurst exponent of the self-affine function Y(l). For small scales, the Hurst exponent corresponds to invasion percolation with trapping (IPT) (0.73); for larger scales to diffusion-limited aggregation (DLA) (0.60). This is consistent with a previously found crossover length Lc from IP to DLA (Phys. Rev. Lett. 67 (1991) 2958).

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:253-257

DOI: 10.1016/0378-4371(92)90535-X

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