NDLI: On the derivation of the Buckley—Leverett model from the two fluid Navier

Content Provider	Springer Nature Link
Author	Mikelić, Andro Paoli, Laetitia
Copyright Year	1997
Abstract	We consider a two-phase incompressible immiscible flow, with neglected surface tension, in a thin domain. Using the method of asymptotic expansions with respect to the thickness of the domain, effective 1D equations are derived. Supposing that the fluids are strictly separated at t=0, we show that the derived equations equal the Buckley–Leverett equation for the saturation, in conjunction with the Reynolds law for each of the flowing phases. The fractional flow curve and corresponding relative permeabilities are determined explicitly and their heuristically observed properties verified.
Starting Page	59
Ending Page	83
Page Count	25
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	1
Issue Number	1
e-ISSN	15731499
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1997-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Hydrogeology Geotechnical Engineering Mathematical Modeling and Industrial Mathematics Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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On the derivation of the Buckley—Leverett model from the two fluid Navier—Stokes equations in a thin domain