Scaling Of Diffusion-driven Displacing Patterns In Porous Media
Price
Free (open access)
Transaction
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