Insights into the relationships among capillary pressure, saturation, interfacial area and relative permeability using pore-network modeling

Transport in Porous Media

Volumn 74, Issue 2, 2008, Pages 201-219

  Joekar Niasar, V ^a   Hassanizadeh, S M ^a   Leijnse, A ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

Capillary pressure; Hysteresis; Interfacial area; Pore network model; Relative permeability

Indexed keywords

AGRICULTURAL ENGINEERING; CAPILLARY FLOW; CAPILLARY TUBES; FLUID DYNAMICS; FLUID MECHANICS; LIQUIDS; MULTIPHASE FLOW; POROUS MATERIALS; TUBES (COMPONENTS); TWO PHASE FLOW;

CAPILLARY PRESSURES; ELEMENT TYPE; FLUID INTERFACIAL AREA; GAIN INSIGHT; INTERFACIAL AREA (IA); NETWORK DIMENSIONING; NETWORK SIZES; PORE NETWORK MODELING; PORE THROATS; RELA TIVE PERMEABILITY; TUBE MODEL; TWO TYPES; TWO-PHASE FLOW (2PF);

CAPILLARITY;

CAPILLARY PRESSURE; HYSTERESIS; PERMEABILITY; POROUS MEDIUM; SATURATION; TWO PHASE FLOW;

EID: 48649084916     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-007-9191-7     Document Type: Article

References (39)

1. Acharya, R.C., van der Zee, S.E.A.T.M., Leijnse, A.: Porosity-permeability properties generated with a new 2-parameter 3D hydraulic pore-network model for consolidated and unconsolidated porous media. Adv. Water Resour. 27, 707-723 (2004)
2. Al-Raoush, R.I., Willson, C.S.: Extraction of physically realistic pore network properties from three-dimensional synchrotron X-ray microtomography images of unconsolidated porous media systems. J. Hydrol. 300, 44-64 (2005a)
3. Al-Raoush, R.I., Willson, C.S.: A pore-scale investigation of a multiphase porous media system. J. Contam. Hydrol. 77, 67-89 (2005b)
4. Anwar, A.H.M.F., Bettahar, M., Matsubayashi, U.: A method for determining air-water interfacial area in variably saturated porous media. J. Contam. Hydrol. 43, 129-146 (2000)
5. Bear, J., Zaslavsky, D., Irmay, S.: Physical Principles of Water Percolation and Seepage. z.uitg, Paris (1968)
6. Blunt, M.J., Jackson, M.D., Piri, M., Valvatne, P.H.: Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow. Adv. Water Resour. 25, 1069-1089 (2002)
7. Brusseau, M.L., Popovicova, J., Silva, J.A.K.: Characterizing gas-water interfacial and bulk-water partitioning for gas phase transport of organic contaminants in unsaturated porous media. Environ. Sci. Technol. 31, 1645-1649 (1997)
8. Brusseau, M.L., Peng, S., Schnaar, G., Constanza-Robinson, M.S.: Relationships among air-water interfacial area, capillary pressure, and water saturation for a sandy porous medium. Water Resour. Res. 42, W03501. doi: 10.1029/2005WR004058 (2006)
9. Burganos, V.N., Payatakes A., C.: Knudsen diffusion in random and correlated networks of constricted pores. Chem. Eng. Sci. 47, 1383-1400 (1992)
10. Chen, L., Kibbey, T.C.G.: Measurement of air-water interfacial area for multiple hysteretic drainage curves in an unsaturated fine sand. Langmuir 22, 6874-6880 (2006)
11. Cheng, J.T., Pyrak-Nolte, L.J., Nolte, D.D.: Linking pressure and saturation through interfacial area in porous media, Geophys. Res. Lett. 31, L08502. doi: 10.1029/2003GL019282 (2004)
12. Costanza-Robinson, M.S., Brusseau, M.L.: Air-water interfacial areas in unsaturated soils: Evaluation of interfacial domains. Water Resour. Res. 38, 13-1 (2002)
13. Culligan, K.A., Wildenschild, D., Christensen, B.S.B., Gray, W.G., Rivers, M.L., Tompson, A.F.B.: Interfacial area measurements for unsaturated flow through a porous medium. Water Resour. Res. 40, W12413. doi: 10.1029/2004WR003278 (2004)
14. Culligan, K.A., Wildenschild, D., Christensen, B.S.B., Gray, W., Rivers, M.L.: Pore-scale characteristics of multiphase flow in poAous media: a comparison of air-water and oil-water experiments. Adv. Water Resour. 29, 227-238 (2006)
15. Dias, M.M., Payatakes, A.C.: Network models for two-phase flow in porous media, 2, motion of oil ganglia. J. Fluid Mech. 164, 337-358 (1986)
16. Fatt, I.: The network model of porous media. I. Capillary pressure characteristics. Pet. Trans. AIME 207, 144-159 (1956)
17. Gielen, T.W.J.: Upscaling Multiphase Transport Processes in Porous Media. Delft University of Technology (2007)
18. Hassanizadeh, S.M., Gray, W.G.: Mechanics and thermodynamics of multiphase flow in porous media including interface boundaries. Adv. Water Resour. 13, 169-186 (1990)
19. Hassanizadeh, S.M., Gray, W.G.: Thermodynamic basis of capillary pressure in porous media. Water Resour. Res. 29, 3389-3405 (1993a)
20. Hassanizadeh, S.M., Gray, W.G.: Toward an improved description of the physics of two-phase flow. Adv. Water Resour. 16, 53-67 (1993b)
21. Held, R.J., Celia, M.A.: Modeling support of functional relationships between capillary pressure, saturation, interfacial area and common lines. Adv. Water Resour. 24, 325-343 (2001)
22. Helland, J.O., Skjaeveland, S.M.: The relationship between capillary pressure, saturation and interfacial area from a model of mixed-wet triangular tubes. Water Resour. Res. 43, W12S10. doi: 10.1029/ 2006WR005698 (2007)
23. Hui, M.H., Blunt, M.J.: Pore-scale modeling of three-phase flow and the effects of wettability, 2000SPE/DOE improved oil recovery symposium, Tulsa, Oklahoma, 3-5 April (2000)
24. Karkare, M.V., Fort, T.: Determination of the air-water interfacial area in wet "unsaturated" porous media. Langmuir 12, 2041-4044 (1996)
25. Kim, H., Rao, P.S.C., Annable, M.D.: Determination of effective air-water interfacial area in partially saturated porous media using surfactant adsorption. Water Resour. Res. 33, 2705-2711 (1997)
26. Kim, H., Rao, P.S.C., Annable, M.D.: Gaseous tracer technique for estimating air-water interfacial areas and interface mobility. Soil Sci. Soc. Am. J. 63, 1554-1560 (1999)
27. Mahmud, W.M., Nguyen, V.H.: Effects of snap-off in imbibition in porous media with different spatial correlations. Transp. Porous Med. 64, 279-300 (2006)
28. Montemagno, C.D., Gray, W.G.: PAotoluminescent volumetric imaging: a technique for the exploration of multi-phase flow and transport in porous media. Geophys. Res. Lett. 22, 425-428 (1995)
29. Piri, M., Blunt, M.J.: Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media, I. Model description. Phy. Rev. E71, 026301 (2005)
30. Reeves, P.C.: Development of porescale network model for the simulation of capillary pressure, saturation, interfacial area, relative permeability in multi-fluid porous media, PhD Thesis, Princeton University (1997)
31. Reeves, P.C., Celia, M.A.: A functional relationship between capillary pressure, saturation, and interfacial area as revealed by a pore-scale network model. Water Resour. Res. 32, 2345-2358 (1996)
32. Saripalli, K.P., Rao, P.S.C., Annable, M.D.: Determination of specific NAPL - water interfacial areas of residual NAPLs in porous media using the interfacial tracers technique. J. Contam. Hydrogeol. 30, 375-391 (1998)
33. Schaefer, C.E., Dicarlo, D.A., Blunt, M.J.: Experimental measurement of air-water interfacial area during gravity drainage and secondary imbibition in porous media. Water Resour. Res. 36, 885-890 (2000)
34. Schnaar, G., Brusseau, M.L.: Pore-scale characterization of organic immiscible-liquid morphology in natural porous media using synchrotron X-ray microtomography. Environ. Sci. Technol. 39, 8403-8410 (2005)
35. Schnaar, G., Brusseau, M.L.: Characterizing pore-scale configuration of organic immiscible liquid in multi-phase systems with synchrotron X-ray microtomography. Vadose Zone J. 5, 641-648 (2006)
36. Vogel, H.J.: Morphological determination of pore connectivity as a function of pore size using serial sections. Eur. J. Soil Sci. 48, 365-377 (1997)
37. Vogel, H.J.: A numerical experiment on pore size, pore connectivity, water retention, permeability, and solute transport using network models. Eur. J. Soil Sci. 51, 99-105 (2000)
38. Vogel, H.J., Roth, K.: A new approach for determining effective soil hydraulic functions. Eur. J. Soil Sci. 49, 547-556 (1998)
39. Wildenschild, D., Hopmans, J.W., Vaz, C.M.P., Rivers, M.L., Rikard, D.: Using X-ray computed tomography in hydrology: Systems, resolutions, and limitations. J. Hydrol. 267, 285-297 (2002)