Homogenization of two-phase flows
in porous media with hysteresis
in the capillary relation
2003 ◽
Vol 14
(1)
◽
pp. 61-84
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Keyword(s):
The homogenization problem is considered for the equations of two-phase flow in porous media with a periodic or random small-scale structure of inhomogeneities. The capillary relation between saturation and the drop in pressures at microscales accounts for hysteresis and dynamic memory effects. Homogenized equations are derived, and convergence of solutions to the solution of the homogenized problem is proved. Properties of averaged capillary relation are described in the particular case of a two-component porous medium.
1997 ◽
Vol 23
(7)
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pp. 88
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1994 ◽
Vol 5
(5)
◽
pp. 303-350
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2007 ◽
Vol 300
(1-2)
◽
pp. 35-49
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2001 ◽
Vol 19
(3-4)
◽
pp. 339-343
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2013 ◽
Vol 18
(5)
◽
pp. 1217-1251
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