Uniqueness of Specific Interfacial Area–Capillary Pressure–Saturation Relationship Under Non-Equilibrium Conditions in Two-Phase Porous Media Flow

Handle URI:
http://hdl.handle.net/10754/600137
Title:
Uniqueness of Specific Interfacial Area–Capillary Pressure–Saturation Relationship Under Non-Equilibrium Conditions in Two-Phase Porous Media Flow
Authors:
Joekar-Niasar, Vahid; Hassanizadeh, S. Majid
Abstract:
The capillary pressure-saturation (P c-S w) relationship is one of the central constitutive relationships used in two-phase flow simulations. There are two major concerns regarding this relation. These concerns are partially studied in a hypothetical porous medium using a dynamic pore-network model called DYPOSIT, which has been employed and extended for this study: (a) P c-S w relationship is measured empirically under equilibrium conditions. It is then used in Darcy-based simulations for all dynamic conditions. This is only valid if there is a guarantee that this relationship is unique for a given flow process (drainage or imbibition) independent of dynamic conditions; (b) It is also known that P c-S w relationship is flow process dependent. Depending on drainage and imbibition, different curves can be achieved, which are referred to as "hysteresis". A thermodynamically derived theory (Hassanizadeh and Gray, Water Resour Res 29: 3389-3904, 1993a) suggests that, by introducing a new state variable, called the specific interfacial area (a nw, defined as the ratio of fluid-fluid interfacial area to the total volume of the domain), it is possible to define a unique relation between capillary pressure, saturation, and interfacial area. This study investigates these two aspects of capillary pressure-saturation relationship using a dynamic pore-network model. The simulation results imply that P c-S w relation not only depends on flow process (drainage and imbibition) but also on dynamic conditions for a given flow process. Moreover, this study attempts to obtain the first preliminary insights into the global functionality of capillary pressure-saturation-interfacial area relationship under equilibrium and non-equilibrium conditions and the uniqueness of P c-S w-a nw relationship. © 2012 The Author(s).
Citation:
Joekar-Niasar V, Hassanizadeh SM (2012) Uniqueness of Specific Interfacial Area–Capillary Pressure–Saturation Relationship Under Non-Equilibrium Conditions in Two-Phase Porous Media Flow. Transport in Porous Media 94: 465–486. Available: http://dx.doi.org/10.1007/s11242-012-9958-3.
Publisher:
Springer Nature
Journal:
Transport in Porous Media
KAUST Grant Number:
KUK-C1-017-12
Issue Date:
23-Feb-2012
DOI:
10.1007/s11242-012-9958-3
Type:
Article
ISSN:
0169-3913; 1573-1634
Sponsors:
The authors are members of the International Research Training Group NUPUS, financed by the German Research Foundation (DFG) and The Netherlands Organization for Scientific Research (NWO). This research was also partly funded by a King Abdullah University of Science and Technology (KAUST) Center-in-Development Award to Utrecht University (Grant No. KUK-C1-017-12).
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Full metadata record

DC FieldValue Language
dc.contributor.authorJoekar-Niasar, Vahiden
dc.contributor.authorHassanizadeh, S. Majiden
dc.date.accessioned2016-02-28T06:43:29Zen
dc.date.available2016-02-28T06:43:29Zen
dc.date.issued2012-02-23en
dc.identifier.citationJoekar-Niasar V, Hassanizadeh SM (2012) Uniqueness of Specific Interfacial Area–Capillary Pressure–Saturation Relationship Under Non-Equilibrium Conditions in Two-Phase Porous Media Flow. Transport in Porous Media 94: 465–486. Available: http://dx.doi.org/10.1007/s11242-012-9958-3.en
dc.identifier.issn0169-3913en
dc.identifier.issn1573-1634en
dc.identifier.doi10.1007/s11242-012-9958-3en
dc.identifier.urihttp://hdl.handle.net/10754/600137en
dc.description.abstractThe capillary pressure-saturation (P c-S w) relationship is one of the central constitutive relationships used in two-phase flow simulations. There are two major concerns regarding this relation. These concerns are partially studied in a hypothetical porous medium using a dynamic pore-network model called DYPOSIT, which has been employed and extended for this study: (a) P c-S w relationship is measured empirically under equilibrium conditions. It is then used in Darcy-based simulations for all dynamic conditions. This is only valid if there is a guarantee that this relationship is unique for a given flow process (drainage or imbibition) independent of dynamic conditions; (b) It is also known that P c-S w relationship is flow process dependent. Depending on drainage and imbibition, different curves can be achieved, which are referred to as "hysteresis". A thermodynamically derived theory (Hassanizadeh and Gray, Water Resour Res 29: 3389-3904, 1993a) suggests that, by introducing a new state variable, called the specific interfacial area (a nw, defined as the ratio of fluid-fluid interfacial area to the total volume of the domain), it is possible to define a unique relation between capillary pressure, saturation, and interfacial area. This study investigates these two aspects of capillary pressure-saturation relationship using a dynamic pore-network model. The simulation results imply that P c-S w relation not only depends on flow process (drainage and imbibition) but also on dynamic conditions for a given flow process. Moreover, this study attempts to obtain the first preliminary insights into the global functionality of capillary pressure-saturation-interfacial area relationship under equilibrium and non-equilibrium conditions and the uniqueness of P c-S w-a nw relationship. © 2012 The Author(s).en
dc.description.sponsorshipThe authors are members of the International Research Training Group NUPUS, financed by the German Research Foundation (DFG) and The Netherlands Organization for Scientific Research (NWO). This research was also partly funded by a King Abdullah University of Science and Technology (KAUST) Center-in-Development Award to Utrecht University (Grant No. KUK-C1-017-12).en
dc.publisherSpringer Natureen
dc.subjectDynamic pore networken
dc.subjectHysteresisen
dc.subjectInterfacial areaen
dc.subjectNon-equilibriumen
dc.subjectTwo-phase flowen
dc.titleUniqueness of Specific Interfacial Area–Capillary Pressure–Saturation Relationship Under Non-Equilibrium Conditions in Two-Phase Porous Media Flowen
dc.typeArticleen
dc.identifier.journalTransport in Porous Mediaen
dc.contributor.institutionUtrecht University, Utrecht, Netherlandsen
kaust.grant.numberKUK-C1-017-12en
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