Invasion Percolation with a Hardening Interface under Gravity

@article{Oliveira2015InvasionPW,
  title={Invasion Percolation with a Hardening Interface under Gravity},
  author={Cl{\'a}udio L. N. Oliveira and Falk K. Wittel and Jos{\'e} S. Andrade and Hans J{\"u}rgen Herrmann},
  journal={arXiv: Soft Condensed Matter},
  year={2015}
}
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… 
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