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 ob...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2008-02, Vol.77 (2 Pt 2), p.026301-026301, Article 026301
Hauptverfasser: Babchin, Alexander, Brailovsky, Irina, Gordon, Peter, Sivashinsky, Gregory
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.77.026301