TY - JOUR
T1 - Fingering instability in water-oil displacement
AU - Brailovsky, I.
AU - Babchin, A.
AU - Frankel, M.
AU - Sivashinsky, Grishas
N1 - Funding Information:
These studies were supported in part by the Alberta Research Council, the National Science Foundation (Grant DMS-0207308), the US-Israel Binational Science Foundation (Grant 2002008), the German-Israel Foundation (Grant G-695-15.10/2001), the Israel Science Foundation (Grant 278-03), and the European Community Program RTN-NPRN-CT-2002-00274. Enlightening discussions with Oluropo Rufus Ayodele, Peter Gordon, Victor Ryzhik, Ron Sawatzky and Jian-Yang Yuan are gratefully acknowledged. Michael Frankel would like to express his gratitude to CNRS and the University of Bordeaux 1 for their hospitality.
PY - 2006/6
Y1 - 2006/6
N2 - 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.
AB - 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.
KW - Fingering
KW - Flows in porous media
KW - Interface instability
UR - http://www.scopus.com/inward/record.url?scp=33745451794&partnerID=8YFLogxK
U2 - 10.1007/s11242-005-8430-z
DO - 10.1007/s11242-005-8430-z
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:33745451794
SN - 0169-3913
VL - 63
SP - 363
EP - 380
JO - Transport in Porous Media
JF - Transport in Porous Media
IS - 3
ER -