Trapping and hysteresis in two-phase flow in porous media: A pore-network study

Water Resources Research

Volumn 49, Issue 7, 2013, Pages 4244-4256

  Joekar Niasar, V ^a   Doster, F ^b,c   Armstrong, R T ^d   Wildenschild, D ^d   Celia, M A ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b Princeton University   (United States)

^c UNIVERSITY OF BERGEN   (Norway)

^d OREGON STATE UNIVERSITY   (United States)

Author keywords

fluid topology; hysteresis; pore geometry; pore network; trapping; two phase flow

Indexed keywords

HYSTERESIS; POROUS MATERIALS; TOPOLOGY;

HYSTERETIC BEHAVIOR; IN-LABORATORY EXPERIMENTS; LABORATORY EXPERIMENTS; PORE GEOMETRY; PORE NETWORKS; PORE-NETWORK MODELING; RELATIVE PERMEABILITY; TRAPPING;

TWO PHASE FLOW;

COALESCENCE; DRAINAGE; EXPERIMENTAL STUDY; FLOW MODELING; HYSTERESIS; PERMEABILITY; PORE SPACE; POROUS MEDIUM; SATURATED MEDIUM; TWO PHASE FLOW;

EID: 84880652160     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1002/wrcr.20313     Document Type: Article

References (29)

1. Blunt, M. J., (2001), Flow in porous media-Pore-network models and multiphase flow, Curr. Opinion Colloid Interface Sci., 6 (3), 197-207. (Pubitemid 32618750)
2. Braun, E., and, R. Holland, (1995), Relative permeability hysteresis: Laboratory measurements and a conceptual model, SPE Reservoir Eng., 10 (3), 222-228.
3. Chen, L., G. A. Miller, and, T. C. G. Kibbey, (2007), Rapid pseudo-static measurement of hysteretic capillary pressure-saturation relationships in unconsolidated porous media, Geotech. Test. J., 30, GTJ100850, 474-483.
4. Doster, F., and, R. Hilfer, (2011), Generalized Buckley-Leverett theory for two phase flow in porous media, New J. Phys., 11, 123030, doi: 10.1088/1367-2630/13/12/123030.
5. Doster, F., P. A. Zegeling, and, R. Hilfer, (2010), Numerical solutions of a generalized theory for macroscopic capillarity, Phys. Rev. E, 81 (3), 036307, doi: 10.1103/PhysRevE.81.036307.
6. Everett, D. H., and, W. I. Whitton, (1952), A general approach to hysteresis, Trans. Faraday Soc., 48 (8), 749-757.
7. Hassanizadeh, S. M., and, W. G. Gray, (1993), Thermodynamic basis of capillary pressure in porous media, Water Resour. Res., 29 (10), 3389-3405. (Pubitemid 24401191)
8. Hilfer, R., (2006), Capillary pressure, hysteresis and residual saturation in porous media, Phys. A, 359, 119-128. (Pubitemid 41526244)
9. Hilfer, R., and, F. Doster, (2010), Percolation as a basic concept for macroscopic capillarity, Transp. Porous Media, 82 (3), 507-519.
10. Jerauld, G. R., (1997), General three-phase relative permeability model for prudhoe bay, SPE Reservoir Eval. Eng., 12, 255-263. (Pubitemid 127463943)
11. Jerauld, G. R., and, S. J. Salter, (1990), The effect of pore-structure on hysteresis in relative permeability and capillary pressure: Pore-level modeling, Transp. Porous Media, 5, 103-151, doi: 10.1007/BF00144600. (Pubitemid 20686751)
12. Joekar-Niasar, V., and, S. M. Hassanizadeh, (2011), Specific interfacial area; the missing state variable in two-phase flow?, Water Resour. Res., 47, W05513, doi: 10.1029/2010WR009291.
13. Joekar-Niasar, V., and, S. M. Hassanizadeh, (2012), Analysis of fundamentals of two-phase flow in porous media using dynamic pore-network models; a review, Crit. Rev. Environ. Sci. Technol., 42, 1895-1976.
14. Joekar-Niasar, V., S. M. Hassanizadeh, and, A. Leijnse, (2008), Insights into the relationships among capillary pressure, saturation, interfacial area and relative permeability using pore-network modeling, Transp. Porous Media, 74 (2), 201-219.
15. Joekar-Niasar, V., S. M. Hassanizadeh, and, H. K. Dahle, (2010a), Non-equilibrium effects in capillarity and interfacial area in two-phase flow: Dynamic pore-network modeling, J. Fluid Mech., 655, 38-71.
16. Joekar-Niasar, V., M. Prodanovic̈, D. Wildenschild, and, S. M. Hassanizadeh, (2010b), Network model investigation of interfacial area, capillary pressure and saturation relationships in granular porous media, Water Resour. Res., 46, W06526, doi: 10.1029/2009WR008585.
17. Land, C. S., (1968), Calculation of imbibition relative permeability for two- and three phase flow from rock properties, Trans. Am. Inst. Min. Metall. Pet. Eng., 243, 149-156.
18. Lenhard, R., J. Parker, and, J. Kaluarachchi, (1991), Comparing simulated and experimental hysteretic two-phase transient fluid flow phenomena, Water Resour. Res., 27 (8), 2113-2124.
19. Lenhard, R. J., and, J. C. Parker, (1987), A model for hysteretic constitutive relations governing multiphase flow: 2. Permeability-saturation relations, Water Resour. Res., 23 (12), 2197-2206. (Pubitemid 18536154)
20. Mualem, Y., (1974), A conceptual model of hysteresis, Water Resour. Res., 10 (3), 514-520.
21. Niessner, J., and, S. M. Hassanizadeh, (2008), A model for two-phase flow in porous media including fluid-fluid interfacial area, Water Resour. Res., 44 (8), W08439, doi: 10.1029/2007WR006721.
22. Parker, J. C., and, R. J. Lenhard, (1987), A model for hysteretic constitutive relations governing multiphase flow: 1. Saturation pressure relations, Water Resour. Res., 23 (4), 618-624. (Pubitemid 17570306)
23. Parker, J. C., R. J. Lenhard, and, T. Kuppusamy, (1987), A parametric model for constitutive properties governing multiphase flow in porous media, Water Resour. Res., 23 (4), 618-624. (Pubitemid 17570306)
24. Patzek, T. W., (2001), Verification of a complete pore network simulator of drainage and imbibition, SPE J., 6, 144-156. (Pubitemid 32697838)
25. Porter, M., and, D. Wildenschild, (2010), Image analysis algorithms for estimating porous media multiphase flow variables from computed microtomography data: A validation study, Comput. Geosci., 14, 15-30.
26. Porter, M. L., D. Wildenschild, G. Grant, and, J. Gerhard, (2010), Measurement and prediction of the relationship between capillary pressure, saturation, and interfacial area in a napl-water-glass bead system, Water Resour. Res., 46, W08512, doi: 10.1029/2009WR007786.
27. Scott, P. S., G. J. Farquhar, and, N. Kouwen, (1983), Hysteretic effects on net infiltration, Am. Soc. Agric. Eng., 11-83, 163-171.
28. Spiteri, E. J., R. Juanes, M. J. Blunt, and, F. M. Orr Jr,. (2005), Relative permeability hysteresis: Trapping models and application to geological CO2 sequestration, paper presented at SPE Annual Technical Conference and Exhibition, Dallas, Tex.
29. van Kats, F., and, C. van Duijn, (2001), A mathematical model for hysteric two phase flow in porous media, Transp. Porous Media, 43, 239-263. (Pubitemid 32467859)