Pore geometry effects on intrapore viscous to inertial flows and on effective hydraulic parameters

Water Resources Research

Volumn 49, Issue 2, 2013, Pages 1149-1162

  Chaudhary, Kuldeep ^a   Bayani Cardenas, M ^a   Deng, Wen ^a   Bennett, Philip C ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FLOW FIELDS; GROUNDWATER FLOW; HYDRAULIC CONDUCTIVITY; LAMINAR FLOW; REYNOLDS NUMBER;

COMPARATIVE ANALYSIS; DEGREE OF NON-LINEARITY; HYDRAULIC PARAMETERS; HYDRAULIC PROPERTIES; LAMINAR FLOW CONDITIONS; LAMINAR FLOW REGIMES; PORE-NETWORK MODELS; VORTICITY DISTRIBUTION;

GEOMETRY;

DARCY LAW; FLUID FLOW; GEOMETRY; HYDRAULIC CONDUCTIVITY; LAMINAR FLOW; NONLINEARITY; PORE SPACE; REYNOLDS NUMBER;

EID: 84876539184     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1002/wrcr.20099     Document Type: Article

References (53)

1. Balhoff, M., and M. F. Wheeler (2009), A predictive pore-scale model for non-Darcy flow in porous media, SPE J., 14(4), 579-587.
2. Bear, J. (1972), Dynamics of Fluids in Porous Media, Elsevier, New York.
3. Bennett, P. C., F. K. Hiebert, and J. R. Rogers (2000), Microbial control of mineral-groundwater equilibria: Macroscale to microscale, Hydrogeol. J., 8(1), 47-62, doi:10.1007/s100400050007.
4. Blake, S. P. (1922), The resistance of packing to fluid flow, Trans. Am. Inst. Chem. Eng., 14, 415.
5. Blunt, M. J., M. D. Jackson, M. Piri, and P. H. Valvatne (2002), Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow, Adv. Water Resour., 25(8-12), 1069-1089. (Pubitemid 35465144)
6. Bolster, D., M. Dentz, and T. Le Borgne (2009), Solute dispersion in channels with periodically varying apertures, Phys. Fluids, 21(5), 056601-1-056601-12.
7. Bouquain, J., Y. Meheust, D. Bolster, and P. Davy (2012), The impact of in-ertial effects on solute dispersion in a channel with periodically varying aperture, Phys. Fluids, 24(8), 083602, doi:10.1063/1.4747458.
8. Brenner, H., and P. M. Adler (1982), Dispersion resulting from flow through spatially periodic porous-media. 2. Surface and intraparticle transport, Philos. Trans. R. Soc. Lond. Ser. A: Math. Phys. Eng. Sci., 307(1498), 149-200.
9. Bryant, S., and M. Blunt (1992), Prediction of relative permeability in simple porous-media, Phys. Rev. A, 46(4), 2004-2011.
10. Cao, J., and P. K. Kitanidis (1998), Adaptive finite element simulation of Stokes flow in porous media, Adv. Water Resour., 22(1), 17-31. (Pubitemid 29007177)
11. Cardenas, M. B. (2008), Three-dimensional vortices in single pores and their effects on transport, Geophys. Res. Lett., 35, L18402, doi:10.1029/2008GL035343.
12. Cardenas, M. B., D. T. Slottke, R. A. Ketcham, and J. M. Sharp (2007), Navier-Stokes flow and transport simulations using real fractures shows heavy tailing due to eddies, Geophys. Res. Lett., 34, L14404, doi:10.1029/ 2007GL030545. (Pubitemid 47393978)
13. Carman, P. C. (1938), The determination of the specific surface of powders, J. Soc. Chem. Ind. Trans., 57, 225.
14. Chaudhary, K., M. B. Cardenas, W. Deng, and P. Bennett (2011), The role of eddies inside pores in the transition from Darcy to Forchheimer flows, Geophys. Res. Lett., 38, L24405, doi:10.1029/2011GL050214.
15. Chen, Z., S. L. Lyons, and G. Qin (2001), Derivation of the Forchheimer law via homogenization, Transp. Porous Media, 44(2), 325-335. (Pubitemid 32731772)
16. Cheng, M., and K. C. Hung (2006), Vortex structure of steady flow in a rectangular cavity, Comput. Fluids, 35(10), 1046-1062. (Pubitemid 44321338)
17. Cheng, N. S., Z. Y. Hao, and S. K. Tan (2008), Comparison of quadratic and power law for nonlinear flow through porous media, Exp. Thermal Fluid Sci., 32(8), 1538-1547.
18. Chukwudozie, C. P., M. Tyagi, S. O. Sears, and C. D. White (2012), Prediction of non-Darcy coefficients for inertial flows through the castlegate sandstone using image-based modeling, Transp. Porous Media, 95(3), 563-580.
19. Collins, W. M., and S. C. R. Dennis (1976), Viscous eddies near a 90 degrees and a 45 degrees corner in flow through a curved tube of triangular cross-section, J. Fluid. Mech., 76, 417-432.
20. COMSOL Multiphysics (2008), COMSOL Multiphysics Version 3.5a. [Available at: http://www.comsol.com.].
21. Darcy, H. P. G. (1856), Les Fontaines Publiques de la Ville de Dijon, Victor Dalmont, Paris.
22. Dykaar, B. B., and P. K. Kitanidis (1996), Macrotransport of a biologically reacting solute through porous media, Water Resour. Res., 32(2), 307-320, doi:10.1029/95WR03241. (Pubitemid 26309859)
23. Fourar, M., G. Radilla, R. Lenormand, and C. Moyne (2004), On the nonlinear behavior of a laminar single-phase flow through two and three-dimensional porous media, Adv. Water Resour., 27(6), 669-677. (Pubitemid 38629843)
24. Guglielmini, L., R. Rusconi, S. Lecuyer, and H. A. Stone (2011), Three-dimensional features in low-Reynolds-number confined corner flows, J. Fluid. Mech., 668, 33-57.
25. Hasimoto, H., and O. Sano (1980), Stokeslets and eddies in creeping flow, Annu. Rev. Fluid Mech., 12, 335-363.
26. Hassanizadeh, S. M., and W. G. Gray (1987), High-velocity flow in porous-media, Transp. Porous Media, 2(6), 521-531.
27. Joekar-Niasar, V., M. Prodanovic, D. Wildenschild, and S. M. Hassaniza-deh (2010), Network model investigation of interfacial area, capillary pressure and saturation relationships in granular porous media, Water Resour. Res., 46, W06526, doi:10.1029/2009WR008585.
28. Kitanidis, P. K., and B. B. Dykaar (1997), Stokes flow in a slowly varying two-dimensional periodic pore, Transp. Porous Media, 26(1), 89-98, doi:10.1023/A:1006575028391. (Pubitemid 27243338)
29. Kozeny, J. (1927), Ueber kapillare Leitung des Wassers im Boden, Akad. Wiss. Wien, 132(2A), 271-306.
30. Leneweit, G., and D. Auerbach (1999), Detachment phenomena in low Reynolds number flows through sinusoidally constricted tubes, J. Fluid. Mech., 387, 129-150.
31. Lugt, H. J. (1996), Introduction to Vortex Theory, Vortex Flow Press, Potomac, Md.
32. Ma, H., and D. W. Ruth (1993), The microscopic analysis of high For-chheimer number flow in porous-media, Transp. Porous Media, 13(2), 139-160.
33. Ma, H., and D. W. Ruth (1994), A numerical-analysis of the interfacial drag force for fluid-flow in porous-media, Transp. Porous Media, 17(1), 87-103. (Pubitemid 302306)
34. Maier, R. S., D. M. Kroll, Y. E. Kutsovsky, H. T. Davis, and R. S. Bernard (1998), Simulation of flow through bead packs using the lattice Boltz-mann method, Phys. Fluids, 10(1), 60-74.
35. Maier, R. S., D. M. Kroll, H. T. Davis, and R. S. Bernard (1999), Simulation of flow in bidisperse sphere packings, J. Colloid Interface Sci., 217(2), 341-347. (Pubitemid 29436530)
36. Malevich, A. E., V. V. Mityushev, and P. M. Adler (2006), Stokes flow through a channel with wavy walls, Acta Mech., 182(3/4), 151-182.
37. Man, H. N., and X. D. Jing (1999), Network modelling of wettability and pore geometry effects on electrical resistivity and capillary pressure, J. Pet. Sci. Eng., 24(2-4), 255-267. (Pubitemid 30230979)
38. McClure, J. E., W. G. Gray, and C. T. Miller (2010), Beyond anisotropy: Examining non-Darcy flow in asymmetric porous media, Transp. Porous Media, 84(2), 535-548.
39. Meleshko, V. V. (1996), Steady Stokes flow in a rectangular cavity, Proc. R. Soc. Lond. Ser. A: Math. Phys. Eng. Sci., 452(1952), 1999-2022.
40. Moffatt, H. K. (1964), Viscous and resistive eddies near a sharp corner, J. Fluid. Mech., 18, 1-18.
41. Obrien, V. (1972), Closed streamlines associated with channel flow over a cavity, Phys. Fluids, 15(12), 2089-2097.
42. Pan, C., M. Hilpert, and C. T. Miller (2004), Lattice-Boltzmann simulation of two-phase flow in porous media, Water Resour. Res., 40, W01501, doi:10.1029/2003WR002120.
43. Panfilov, M., and M. Fourar (2006), Physical splitting of nonlinear effects in high-velocity stable flow through porous media, Adv. Water Resour., 29(1), 30-41, doi:10.1016/j.advwatres.2005.05.002. (Pubitemid 41722646)
44. Pozrikidis, C. (1987), Creeping flow in two-dimensional channels, J. Fluid. Mech., 180, 495-514.
45. Rothman, D. H. (1988), Cellular-automaton fluids-A model for flow in porous-media, Geophysics, 53(4), 509-518.
46. Saeger, R. B., L. E. Scriven, and H. T. Davis (1991), Flow, conduction, and a characteristic length in periodic bicontinuous porous-media, Phys. Rev. A, 44(8), 5087-5090.
47. Saeger, R. B., L. E. Scriven, and H. T. Davis (1995), Transport processes in periodic porous-media, J. Fluid. Mech., 299, 1-15.
48. Shen, C., and J. M. Floryan (1985), Low Reynolds-number flow over cavities, Phys. Fluids, 28(11), 3191-3202.
49. Sisavath, S., X. D. Jing, and R. W. Zimmerman (2001), Creeping flow through a pipe of varying radius, Phys. Fluids, 13(10), 2762-2772. (Pubitemid 32956816)
50. Skjetne, E., and J. L. Auriault (1999), New insights on steady, non-linear flow in porous media, Eur. J. Mech. B: Fluids, 18(1), 131-145.
51. Taneda, S. (1979), Visualization of separating Stokes flows, J. Phys. Soc. Jpn., 46(6), 1935-1942.
52. Valvatne, P. H., M. Piri, X. Lopez, and M. J. Blunt (2005), Predictive pore-scale modeling of single and multiphase flow, Transp. Porous Media, 58(1/2), 23-41, doi:10.1007/s11242-004-5468-2. (Pubitemid 40262995)
53. Yoon, H., A. J. Valocchi, C. J. Werth, and T. Dewers (2012), Pore-scale simulation of mixing-induced calcium carbonate precipitation and dissolution in a microfluidic pore network, Water Resour. Res., 48, W02524, doi:10.1029/2011WR011192.