Rotationally induced fingering patterns in a two-dimensional heterogeneous porous medium

Ching-Yao Chen, Ting Shiang Lin, José A. Miranda

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Rotating fluid flows under two-dimensional homogeneous porous media conditions (or in a rotating Hele-Shaw cell) reveal the development of complex interfacial fingering patterns. These pattern-forming structures are characterized by the occurrence of finger competition events, finger pinch-off episodes, as well as by the production of satellite droplets. In this work, we use intensive numerical simulations to investigate how these fully nonlinear pattern growth phenomena are altered by the presence of permeability heterogeneities in the rotating porous medium. This is done by employing a diffuse-interface Darcy-Cahn-Hilliard description of the problem and considering a permeability field presenting a log-Gaussian distribution, characterized by a variance s and a correlation length l. We study how the heterogeneity measures s and l couple to the governing hydrodynamic dimensionless parameters of the problem and introduce important changes on the pattern formation dynamics of the system.

Original languageEnglish
Article number053105
JournalPhysical Review E
Volume94
Issue number5
DOIs
StatePublished - 1 Jan 2016

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