Regularity and Uniqueness Results for Two-Phase Miscible Flows in Porous Media

1993 ◽  
pp. 139-154 ◽  
Author(s):  
Andro Mikelić
1981 ◽  
Vol 104 ◽  
pp. 467-482 ◽  
Author(s):  
L. A. Romero ◽  
R. H. Nilson

Shock-like features of phase-change flows in porous media are explained, based on the generalized Darcy model. The flow field consists of two-phase zones of parabolic/hyperbolic type as well as adjacent or imbedded single-phase zones of either parabolic (superheated, compressible vapour) or elliptic (subcooled, incompressible liquid) type. Within the two-phase zones or at the two-phase/single-phase interfaces, there may be steep gradients in saturation and temperature approaching shock-like behaviour when the dissipative effects of capillarity and heat-conduction are negligible. Illustrative of these shocked, multizone flow-structures are the transient condensing flows in porous media, for which a self-similar, shock-preserving (Rankine–Hugoniot) analysis is presented.


2019 ◽  
Vol 79 (3) ◽  
pp. 1936-1980 ◽  
Author(s):  
Eduardo Abreu ◽  
Abel Bustos ◽  
Paola Ferraz ◽  
Wanderson Lambert

2008 ◽  
Vol 20 (3-4) ◽  
pp. 155-160 ◽  
Author(s):  
Vladislav Dushin ◽  
Valeriy Nikitin ◽  
Yuri Philippov ◽  
Nickolay Smirnov

2020 ◽  
Author(s):  
Marsel Mansurovich Khayrullin ◽  
Timur Rustamovich Zakirov ◽  
Pavel Andreevich Grishin ◽  
Evgeny Dmitrievich Shilov ◽  
Anton Bukatin

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