✦ LIBER ✦

Cooperative effects due to interpore surface tension in unstable displacement in porous media

✍ Scribed by Rafael Rangel

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 575 KB
Volume: 6
Category: Article
ISSN: 0960-0779
DOI: 10.1016/0960-0779(95)80055-l

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✦ Synopsis

We model fluid-fluid displacement in d=2 by a diffusion limited aggregation (DLA) algorithm which takes interpore surface tension and capillary forces into account.

The invading fluid is non-viscous. Cooperative effects are important when the ratio between capillary forces and tension forces q is ~ 1. In that case we introduce a simple rule that considers the wetting displacement (invading fluid wets more ) and the non wetting case ( displaced fluid wets more ). We find qualitative agreement with the experiments of Stokes et. al. ( Phys.Rev. Lett. 57, 1718(1986)). Furthermore, we study the tree trunk thickness of the patterns generated as a function of the control parameter r oc C~1, (Ca= the capillary number) and study the geometry of the interface.

We compare the results with the experiments.

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