Babchin Alexander, Brailovsky Irina, Gordon Peter, Sivashinsky Gregory
Heavy Oil and Oil Sands, Alberta Research Council, Edmonton, Alberta T6N 1E4, Canada.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Feb;77(2 Pt 2):026301. doi: 10.1103/PhysRevE.77.026301. Epub 2008 Feb 1.
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.