January 2008, to be published in Physical Review E


Fingering instability in immiscible displacement
Alexander Babchin, Irina Brailovsky, Peter Gordon, and Gregory Sivashinsky

Departing from the classical Buckley-Leverett theory for two-phase immiscible flows in porous media, a reduced evolution equation for the water-oil displacement front is formulated and studied numerically. The reduced model successfully reproduces the basic features of the finger-forming dynamics observed in recent direct numerical simulations.

© 2008 The American Physical Society.