A new formulation for pore-network modeling of two-phase flow

Water Resources Research

Volumn 48, Issue 1, 2012, Pages

  Raoof, A ^a   Hassanizadeh, S M ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATED VALUES; CONSTITUTIVE RELATIONSHIPS; COORDINATION NUMBER; EXPLICIT REPRESENTATION; GEOMETRICAL DISTRIBUTION; MULTI-DIRECTIONAL; NON-WETTING; PORE SPACE; PORE THROAT; PORE-NETWORK MODELING; PORE-NETWORK MODELS; QUANTITATIVE INVESTIGATION; RELATIVE PERMEABILITY; TOPOLOGICAL PROPERTIES; WETTING FLUID; WETTING PHASE;

MASS TRANSFER; POROUS MATERIALS; TOPOLOGY; TRANSPORT PROPERTIES; TWO PHASE FLOW;

WETTING;

CAPILLARY PRESSURE; DISPERSIVITY; FLOW MODELING; MASS TRANSFER; PERMEABILITY; POROSITY; POROUS MEDIUM; QUANTITATIVE ANALYSIS; SATURATION; TOPOLOGY; TWO PHASE FLOW; WETTING;

EID: 84855996281     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010WR010180     Document Type: Article

References (51)

1. Acharya, R. C., S. E. van der Zee, and A. Leijnse (2004), Porosity-permeability properties generated with a new 2-parameter 3D hydraulic porenetwork model for consolidated and unconsolidated porous media, Adv. Water Resour., 27(7), 707-723. (Pubitemid 38836428)
2. Acharya, R. C., S. Van der Zee, and A. Leijnse (2005), Transport modeling of nonlinearly adsorbing solutes in physically heterogeneous pore networks. Water Resour. Res., 41, W02020, doi:10.1029/2004WR003500. (Pubitemid 40393939)
3. Adler, P. M. (1992), Porous Media: Geometry and Transports, Butterworth- Heinemann, Boston.
4. Al-Kharusi, A. S., and M. J. Blunt (2007), Network extraction from sandstone and carbonate pore space images, J. Pet. Sci. Eng., 56(4), 219-231. (Pubitemid 46621744)
5. Al-Kharusi, A. S., and M. J. Blunt (2008), Multiphase flow predictions from carbonate pore space images using extracted network models, Water Resour. Res., 44, W06S01, doi:10.1029/2006WR005695.
6. Arns, J. Y., C. H. Arns, A. P. Sheppard, R. M. Sok, M. A. Knackstedt, and W. Val Pinczewski (2003), Relative permeability from tomographic images: Effect of correlated heterogeneity, J. Pet. Sci. Eng., 39(3-4), 247-259. (Pubitemid 36914830)
7. Arns, J. Y., V. Robins, A. P. Sheppard, R. M. Sok, W. V. Pinczewski, and M. A. Knackstedt (2004), Effect of network topology on relative permeability, Transp. Porous Media, 55(1), 21-46. (Pubitemid 38225721)
8. Bear, J. (1988), Dynamics of Fluids in Porous Media, Dover, New York.
9. Berker, R. (1963), Handbuch der Physik, VIII/2, Springer-Verlag, Berlin.
10. Berkowitz, B., and I. Balberg (1993), Percolation theory and its application to groundwater hydrology, Water Resour. Res., 29(4), 775-794. (Pubitemid 23383942)
11. Brooks, R. H., and A. T. Corey (1964), Hydraulic properties of porous media, Hydrol. Pap., 3, 27 pp.
12. Bryant, S., and M. Blunt (1992), Prediction of relative permeability in simple porous media, Phys. Rev. A, 46(4), 2004-2011.
13. Chandler, R., J. Koplik, K. Lerman, and J. F.Willemsen (1982), Capillary displacement and percolation in porous media, J. Fluid.Mech., 119, 249-267. (Pubitemid 13479505)
14. Chatzis, I., and F. Dullien (1977), Modelling pore structure by 2-D and 3-D networks with application to sandstones, J. Can. Pet. Technol., 16(1), 13 pp.
15. Chatzis, I., and F. A. L. Dullien (1985), The modeling of mercury porosimetry and the relative permeability of mercury in sandstones using percolation theory, Int. Chem. Eng, 25(1), 47-66. (Pubitemid 15466150)
16. Dillard, L. A., and M. J. Blunt (2000), Development of a pore network simulation model to study nonaqueous phase liquid dissolution, Water Resour. Res., 36(2), 439-454. (Pubitemid 30065541)
17. Dullien, F. A. L. (1991), Characterization of porous media-pore level, Transp. Porous Media, 6(5), 581-606.
18. Ewing, R. P., and S. C. Gupta (1993a), Modeling percolation properties of random media using a domain network, Water Resour. Res., 29(9), 3169-3178. (Pubitemid 24398681)
19. Ewing, R. P., and S. C. Gupta (1993b), Percolation and permeability in partially structured networks, Water Resour. Res., 29(9), 3179-3188. (Pubitemid 24398680)
20. Fatt, I. (1956), The network model of porous media, Trans. Am. Inst. Mem. Metall. Pet. Eng, 207, 144-181.
21. Fenwick, D. H., and M. J. Blunt (1998), Three-dimensional modeling of three phase imbibition and drainage, Adv. Water Resour., 21(2), 121-143. (Pubitemid 128402789)
22. Ferrand, L. A., and M. A. Celia (1992), The effect of heterogeneity on the drainage capillary pressure-saturation relation, Water Resour. Res., 28(3), 859-870.
23. Ioannidis, M. A., and I. Chatzis (2000), On the geometry and topology of 3D stochastic porous media, J. Colloid Interface Sci., 229(2), 323-334.
24. Ioannidis, M. A., M. J. Kwiecien, I. Chatzis, I. F. MacDonald, and F. A. L. Dullien (1997), Comprehensive pore structure characterization using 3D computer reconstruction and stochastic modeling, SPE Preprint 38713, presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas.
25. 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.
26. Kovscek, A. R., and C. J. Radke (1996), Gas bubble snap-off under pressure- driven flow in constricted noncircular capillaries, Colloids Surf. A, 117(1-2), 55-76. (Pubitemid 26293486)
27. Larson, R. G., L. E. Scriven, and H. T. Davis (1981), Percolation theory of two phase flow in porous media, Chem. Eng. Sci., 36(1), 57-73. (Pubitemid 11459513)
28. Lindquist, W. B., and A. Venkatarangan (1999), Investigating 3D geometry of porous media from high resolution images, Phys. Chem. Earth A, 24(7), 593-599. (Pubitemid 30024545)
29. Lindquist, W. B., A. Venkatarangan, J. Dunsmuir, and T. Wong (2000), Pore and throat size distributions measured from synchrotron X-ray tomographic images of Fontainebleau sandstones, J. Geophys. Res., 105(B9), 21,509-21,527, doi:10.1029/2000JB900208.
30. Mahmud, W. M., J. Y. Arns, A. Sheppard, M. A. Knackstedt, and W. V. Pinczewski (2007), Effect of network topology on two-phase imbibition relative permeability, Transp. Porous Media, 66(3), 481-493.
31. Mason, G., and N. R. Morrow (1991), Capillary behavior of a perfectly wetting liquid in irregular triangular tubes, J. Colloid Interface Sci, 141(1), 262-274.
32. Meile, C., and K. Tuncay (2006), Scale dependence of reaction rates in porous media, Adv. Water Res., 29(1), 62-71. (Pubitemid 41722648)
33. Mogensen, K., and E. H. Stenby (1998), A dynamic two-phase pore-scale model of imbibition, Transp. Porous Media, 32(3), 299-327.
34. Nick, H., and S. Matthai (2011), Comparison of three FE-FV numerical schemes for single- and two-phase flow simulation of fractured porous media, Transp. Porous Media, 90, 421-444.
35. Øren, P. A. L. E., and S. Bakke (2002), Process based reconstruction of sandstones and prediction of transport properties, Transp. Porous Media, 46(2), 311-343. (Pubitemid 34526711)
36. Øren, P. E., and S. Bakke (2003), Reconstruction of Berea sandstone and pore-scale modelling of wettability effects, J. Petrol. Sci. Eng., 39(3-4), 177-199. (Pubitemid 36911098)
37. Øren, P. E., S. Bakke, and O. J. Arntzen (1997), Extending predictive capabilities to network models, in SPE Annual Technical Conference and Exhibition.
38. Øren, P. E., S. Bakke, and O. J. Arntzen (1998), Extending predictive capabilities to network models, Soc. Pet. Eng. J., 3(4), 324-336.
39. Patzek, T. (2001), Verification of a complete pore network simulator of drainage and imbibition, Soc. Pet. Eng. J., 6(2), 144-156. (Pubitemid 32697838)
40. Patzek, T. W., and J. G. Kristensen (2001), Shape factor correlations of hydraulic conductance in noncircular capillaries II. Two-phase creeping flow, J. Colloid interface Sci., 236(2), 305-317. (Pubitemid 32547666)
41. Ransohoff, T. C., and C. J. Radke (1988), Laminar flow of a wetting liquid along the corners of a predominantly gas-occupied noncircular pore, J. Colloid Interface Sci., 121(2), 392-401. (Pubitemid 18565023)
42. Raoof, A., and S. M. Hassanizadeh (2008), Upscaling transport of adsorbing solutes in porous media, J. Porous Media, 11(4), 395-408.
43. Raoof, A., and S. M. Hassanizadeh (2009), A new method for generating pore-network models of porous media, Transp. Porous Media, 81(3), 391-407.
44. Raoof, A., S. M. Hassanizadeh, and A. Leijnse (2010), Upscaling transport of adsorbing solutes in porous media: Pore-network modeling, Vadose Zone J., 9(3), 624-636.
45. Sholokhova, Y., D. Kim, and W. B. Lindquist (2009), Network flow modeling via lattice-Boltzmann based channel conductance, Adv. Water Resour., 32(2), 205-212.
46. Sok, R. M., M. A. Knackstedt, A. P. Sheppard, W. V. Pinczewski, W. B. Lindquist, A. Venkatarangan, and L. Paterson (2002), Direct and stochastic generation of network models from tomographic images, Effect of topology on residual saturations, Transp. Porous Media, 46(2), 345-371.
47. Valvatne, P. H., and M. J. Blunt (2004), Predictive pore-scale modeling of two-phase flow in mixed wet media, Water Resour. Res., 40, W07406, doi:10.1029/2003WR002627.
48. Van Genuchten, M. T. (1980), A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J, 44, 892-898.
49. Wilkinson, D., and J. F. Willemsen (1983), Invasion percolation: A new form of percolation theory, J. Phys. A, 16, 3365-3376.
50. Yu, L., and C. Wardlaw (1986), Mechanisms of nonwetting phase trapping during imbibition at slow rates, J. Colloid Interface Sci., 109(2), 473-486.
51. Zhou, D., L. A. Dillard, and M. J. Blunt (2000), A physically based model of dissolution of nonaqueous phase liquids in the saturated zone, Transp. Porous Media, 39(2), 227-255. (Pubitemid 30255026)