Article,
INVASION PERCOLATION WITH A HARDENING INTERFACE UNDER GRAVITY
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 21 (7): 903-914 (2010)
DOI: 10.1142/S0129183110015555
Abstract
We propose a modified Invasion Percolation (IP) model to simulate the
infiltration of glue into a porous medium under gravity in 2D.
Initially, the medium is saturated with air and then invaded by a fluid
that has a hardening effect taking place from the interface towards the
interior by contact with the air. To take into account that interfacial
hardening, we use an IP model where capillary pressures of the growth
sites are increased with time. In our model, if a site stays for a
certain time at interface, it becomes a hard site and cannot be invaded
anymore. That represents the glue interface becoming hard due to
exposition with the air. Buoyancy forces are included in this system
through the Bond number which represents the competition between the
hydrostatic and capillary forces. We then compare our results with
results from literature of non-hardening fluids in each regime of Bond
number. We see that the invasion patterns change strongly with hardening
while the non-hardening behavior remains basically not affected.
