NDLI: Comparison of Two-Phase Darcy’s Law with a Thermodynamically Consistent Approach

Content Provider	Springer Nature Link
Author	Niessner, Jennifer Berg, Steffen Hassanizadeh, S. Majid
Copyright Year	2011
Abstract	The extended Darcy’s law is a commonly used equation for the description of immiscible two-phase flow in porous media. It dates back to the 1940s and is essentially an empirical relationship. According to the extended Darcy’s law, pressure gradient and gravity are the only driving forces for the flow of each fluid. Within the last two decades, more advanced and physically based descriptions for multiphase flow in porous media have been developed. In this work, the extended Darcy’s law is compared to a thermodynamically consistent approach which explicitly takes the important role of phase interfaces into account, both as entities and as parameters. In this theoretically derived approach, forces related to capillarity and interfaces appear as driving/resisting forces, in addition to the traditional terms. It turns out that the extended Darcy’s law and the thermodynamically based approach are compatible if either (i) relative permeabilities are a function of saturation only, but capillary pressure is a function of saturation and specific interfacial area or (ii) relative permeabilities are a function of saturation and saturation gradients. Theoretical considerations suggest that the former alternative is only valid in case of reversible displacement while in the general case (irreversible displacement), the latter alternative is relevant.
Starting Page	133
Ending Page	148
Page Count	16
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	88
Issue Number	1
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2011-02-05
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Porous media Two-phase flow Interfacial area Thermodynamically consistent approach Hydrogeology Classical Continuum Physics Industrial Chemistry/Chemical Engineering Civil Engineering Geotechnical Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

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