Fingering instability in water-oil displacement

Following the classical Buckley–Leverett theory for the two-phase immiscible flows in porous media a non-linear evolution equation for the water-oil displacement front is formulated and studied numerically. The numerical simulations yield a physically plausible picture of the fingering instability k...

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Veröffentlicht in:Transport in porous media 2006-06, Vol.63 (3), p.363-380
Hauptverfasser: BRAILOVSKY, I, BABCHIN, A, FRANKEL, M, SIVASHINSKY, G
Format: Artikel
Sprache:eng
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Zusammenfassung:Following the classical Buckley–Leverett theory for the two-phase immiscible flows in porous media a non-linear evolution equation for the water-oil displacement front is formulated and studied numerically. The numerical simulations yield a physically plausible picture of the fingering instability known to develop in water-oil systems. A way to control the unrestricted growth of fingers is discussed. Distinctions and similarities with dynamically related Saffman–Taylor and Darrieus–Landau problems are outlined.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-005-8430-z