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January 2008, to be published in Physical Review E
Fingering instability in immiscible displacement
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.
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