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Tracing interfaces in porous media

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  • Rangel, Rafael
  • Rivero, J

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).

Suggested Citation

  • Rangel, Rafael & Rivero, J, 1992. "Tracing interfaces in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 253-257.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:253-257
    DOI: 10.1016/0378-4371(92)90535-X
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