WIT Press


Scaling Of Diffusion-driven Displacing Patterns In Porous Media

Price

Free (open access)

Volume

23

Pages

8

Published

1998

Size

834 kb

Paper DOI

10.2495/CMWR980571

Copyright

WIT Press

Author(s)

Y.C. Yortsos, I. Tsimpanogiannis S. Poulou, A.S. Stubos and N.K. Kanellopoulos

Abstract

We present visualization experiments in etched-glass micromodels to identify micromechanics of drying processes. We develop a scaling theory which shows that above a certain critical length, the front dynamics change from those corresponding to invasion percolation to those of self-affine growth. The latter is characterized by gradient percolation in a stabilizing gradient, which predicts a front width that scales with the (appropriately modified) capillary number of the process. The drying pattern is thus self-similar only within a finite region (the front width) but remains compact further downstrea

Keywords