Computer simulation of two-phase immiscible fluid motion in unsaturated complex fractures using a volume of fluid method

Water Resources Research

Volumn 41, Issue 12, 2005, Pages 1-12

  Huang, Hai ^a   Meakin, Paul ^a   Liu, Moubin ^a  

^a IDAHO NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COALESCENCE; COMPUTER SIMULATION; CONTACT ANGLE; FRACTURE; INTERFACES (MATERIALS); PRESSURE DROP; SOLUBILITY; VISCOSITY;

FILM FLOW; FRACTURE WALL WETTING; MULTIPHASE FLUID DYNAMICS; VOLUME OF FLUID (VOF);

TWO PHASE FLOW;

COALESCENCE; COMPUTER SIMULATION; CONTACT ANGLE; FRACTURE; INTERFACES (MATERIALS); PRESSURE DROP; SOLUBILITY; TWO PHASE FLOW;

FLUID DYNAMICS; FRACTURE FLOW; FRACTURED MEDIUM; IMMISCIBLE FLUID; UNSATURATED MEDIUM;

EID: 31444446172     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2005WR004204     Document Type: Article

References (55)

1. Brackbill, J., D. B. Kothe, and C. Zemach (1992), A continuum method for modeling surface tension, J. Comput. Phys., 100, 335-354.
2. Bussmann, M., J. Mostaghimi, and S. Chandra (1999), On a three-dimensional volume tracking model of droplet impact, Phys. Fluids, 11(6), 1406-1417.
3. Dahan, O., R. Nativ, E. M. Adar, B. Berkowitz, and Z. Ronen (1999), Field observations of flow in a fracture intersecting unsaturated chalk, Water Resour. Res., 35(11), 3315-3326.
4. de Gennes, P. G., X. Hua, and P. Levington (1990), Dynamics of wetting: Local contact angles, J. Fluid Mech., 212, 55-63.
5. Doe, T. W. (2001), What do drops do? Surface wetting and network geometry effects on vadose-zone fracture flow, in Conceptual Models of Flow and Transport in the Fractured Vadose Zone, pp. 243-270, Natl. Acad. Press, Washington, D. C.
6. Dragila, M. I., and N. Weisbrod (2003), Parameters affecting maximum fluid transport in large aperture fractures, Adv. Water Resour., 26, 1219-1228.
7. Dragila, M. I., and N. Weisbrod (2004), Fluid motion through an unsaturated fracture junction, Water Resour. Res., 40, W02403, doi:10.1029/2003WR002588.
8. Espanol, P. (1995), Hydrodynamics from dissipative particle dynamics, Phys. Rev. E, 52(2), 1734-1742.
9. Espanol, P., and P. Warren (1995), Statistical-mechanics of dissipative particle dynamics, Europhys. Lett., 30(4), 191-196.
10. Fabryka-Martin, J. T., S. J. Wightman, W. J. Murphy, M. P. Wickham, M. W. Caffee, G. J. Nimz, J. R. Southon, and P. Sharma (1993), Distribution of chloride-36 in the unsaturated zone at Yucca Mountain: An indicator of fast transport path, in Focus '93: Site Characterization and Model Validation, pp. 58-68, Am. Nucl. Soc., La Grange Park, Ill.
11. Fabryka-Martin, J. T., P. R. Dixon, S. S. Levy, B. Liu, D. L. Brenner, L. E. Wolfsberg, H. J. Turin, and P. Sharma (1996), Implications of environmental isotopes for flow and transport in the unsaturated zone at Yucca Mountain, Nevada, Geol. Soc. Am. Abstr. Programs, 28(7), A-416.
12. Faybishenko, B., C. Doughty, M. Steiger, J. C. S. Long, T. R. Wood, J. S. Jacobsen, J. Lore, and P. T. Zawislanski (2000), Conceptual model of the geometry and physics of water flow in a fractured basalt vadose zone, Water Resour. Res., 36(12), 3499-3520.
13. Gerke, H. H., and M. T. van Genuchten (1993), A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media, Water Resour. Res., 29, 305-319.
14. Ghezzehei, T. A. (2004), Constraints for flow regimes on smooth fracture surfaces, Water Resour. Res., 40, W11503, doi:10.1029/2004WR003164.
15. Glass, R. J., M. J. Nicholl, A. L. Ramirez, and W. D. Daily (2002), Liquid phase structure within an unsaturated fracture network beneath a surface infiltration event: Field experiment, Water Resour. Res., 38(10), 1199, doi:10.1029/2000WR000167.
16. Glass, R. J., M. J. Nicholl, H. Rajaram, and T. R. Wood (2003), Unsaturated flow through fracture networks: Evolution of liquid phase structure, dynamics, and the critical importance of fracture intersections, Water Resour. Res., 39(12), 1352, doi:10.1029/2003WR002015.
17. Hele-Shaw, H. S. (1898), Investigation of the nature of surface resistance of water and of streamline motion under certain experimental conditions, Trans. Inst. Nav. Archit., 40, 21-46.
18. Hirt, C. W. (1988), Flow-3D users manual, Flow Sci., Inc. San Diego, Calif.
19. Hirt, C. W., and B. D. Nichols (1981), Volume of fluid method (VOF) for the dynamics of free boundaries, J. Comput. Phys., 39, 201-225.
20. Hoffman, R. (1975), A study of the advancing interface 1. Interface shape in liquid-gas systems, J. Colloid Interface Sci., 50(2), 228-241.
21. Hoffman, R. (1983), A study of the advancing interface 2. Theoretical prediction of dynamics contact angle in liquid-gas systems, J. Colloid Interface Sci., 94(2), 470-486.
22. Hoogerbrugge, P. J., and J. Koelman (1992), Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics, Europhys. Lett., 19(3), 155-160.
23. Kershaw, D. S. (1978), The incomplete Cholestky-conjugate gradient method for the iterative solution of systems of linear equations, J. Comput. Phys., 26, 43-65.
24. Koplik, J., and J. R. Banavar (1998), Physics of fluids at low Reynolds numbers - A molecular approach, Comput. Phys., 12(5), 424-431.
25. Kothe, D. B., R. C. Mjolsness, and M. D. Torrey (1991), RIPPLE: A computer program for incompressible flows with free surfaces, Tech. Rep. LA-12007-MS, Los Alamos Natl. Lab., Los Alamos, N. M.
26. Kothe, D. B., W. J. Rider, S. J. Mosso, J. S. Brock, and J. I. Hochstein (1996), Volume tracking of interfaces having surface tension in two and three dimensions, Tech. Rep. 96-0859, Am. Inst. of Aeronaut. and Astronaut., Reston, Va.
27. Landau, L. D., and E. M. Lifshitz (1959), Fluid Mechanics, Elsevier, New York.
28. Mo, G., and F. Rosenberger (1990), Molecular-dynamics simulation of flow in a 2 dimensional channel with atomically rough walls, Phys. Rev. A, 42(8), 4688-4692.
29. National Research Council (NRC) (2001), Conceptual Models of Flow and Transport in the Fractured Vadose Zone, Natl. Acad. Press, Washington, D. C.
30. Nativ, R., E. Adar, O. Dahan, and M. Geyh (1995), Water recharge and solute transport through the vadose zone of fractured chalk under desert conditions, Water Resour. Res., 31(2), 253-261.
31. Nicholl, M. J., R. J. Glass, and S. W. Wheatcraft (1994), Gravity-driven infiltration instability in initially dry nonhorizontal fractures, Water Resour. Res., 30(9), 2533-2546.
32. Osher, S., and J. A. Sethian (1988), Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys., 79, 12-49.
33. Persoff, P., and K. Pruess (1995), Two-phase flow visualization and relative permeability measurement in natural rough-walled rock fractures, Water Resour. Res., 31(5), 1175-1186.
34. Peyret, R., and T. D. Taylor (1983), Computational Methods for Fluid Flow, Springer, New York.
35. Pruess, K. (2001), Two-phase unsaturated flow at Yucca Mountain, Nevada: A report on current understanding, in Flow and Transport Through Unsaturated Fractured Rock, Geophys. Monogr. Ser., vol. 42, 2nd ed., edited by D. D. Evans, T. J. Nicholson, and T. C. Rasmussen, pp. 113-133, AGU, Washington, D. C.
36. Rapaport, D. C., and E. Clementi (1986), Eddy formation in obstructed fluid-flow - A molecular-dynamics study, Phys. Rev. Lett., 57(6), 695-698.
37. Rudman, M. (1997), Volume-tracking methods for interfacial flow calculations, Int. J. Numer. Methods Fluids, 24, 671-691.
38. Salve, R., J. S. Y. Wang, and C. Doughty (2002), Liquid-release tests in unsaturated fractured welded tuffs: I. Field investigations, J. Hydrol., 256, 60-79.
39. Scanlon, B. R., S. W. Tyler, and P. J. Wierenga (1997), Hydrologic issues in arid, unsaturated systems and implications for contaminant transport, Rev. Geophys., 35(4), 461-490.
40. Shaw, R. (1984), The Dripping Faucet as a Model Chaotic System, 111 pp., Aerial, Santa Cruz, Calif.
41. Su, G. W., J. T. Geller, K. Pruess, and F. Wen (1999), Experimental studies of water seepage and intermittent flow in unsaturated, rough-walled fractures, Water Resour. Res., 35(4), 1019-1037.
42. Su, G. W., J. T. Geller, K. Pruess, and F. Wen (2001), Solute transport along preferential flow paths in unsaturated fractures, Water Resour. Res., 37(10), 2481-2491.
43. Sussman, M., P. Smereka, and S. Osher (1994), A level set approach for computing solutions to incompressible two-phase flow, J. Comput. Phys., 114, 146-159.
44. Sussman, M., E. Fatemi, P. Smereka, and S. Osher (1998), An improved level set method for incompressible two-phase flows, Comput. Fluids, 27, 663-680.
45. Thoma, S. G., D. P. Gallegos, and D. M. Smith (1992), Impact of fracture coating on fracture/matrix flow interactions in unsaturated porous media, Water Resour. Res., 28(5), 1357-1367.
46. Tokunaga, T., and J. Wan (1997), Water film flow along fracture surfaces of porous rock, Water Resour. Res., 33(6), 1287-1295.
47. Torrey, M. D., L. D. Cloutman, R. C. Mjolsness, and C. W. Hirt (1985), NASA-VOF2D: A computer program for incompressible flows with free surface, Rep. LA-10612-MS, Los Alamos Natl. Lab., Los Alamos, N. M.
48. Unverdi, S. O., and G. Tryggvason (1992), A front-tracking method for viscous, incompressible, multi-fluid flows, J. Comput. Phys., 100, 25-37.
49. Warren, J. E., and P. J. Root (1963), The behavior of naturally fractured reservoirs, Soc. Pet. Eng. J., 3, 245-255.
50. Weisbrod, N., R. Nativ, E. Adar, and D. Ronen (1999), Impact of intermittent rainwater and wastewater flow on coated and uncoated fractures in chalk, Water Resour. Res., 35(11), 3211-3222.
51. Weisbrod, N., R. Nativ, E. Adar, D. Ronen, and A. Ben-Nun (2000), Impact of coating and weathering on the properties of chalk fracture surfaces. J. Geophys. Res., 105(B12), 27,853-27,864.
52. Weisbrod, N., O. Dahan, and E. A. Adar (2002), Particle transport in unsaturated fractured chalk under arid conditions, J. Contam. Hydrol., 56, 117-136.
53. Wood, T. R., M. J. Nicholl, and R. J. Glass (2002), Fracture intersections as integrators for unsaturated flow, Geophys. Res. Lett., 29(24), 2191, doi:10.1029/2002GL015551.
54. Yang, I. C., G. W. Rattray, and P. Yu (1996), Interpretations of chemical and isotopic data from boreholes in the unsaturated-zone at Yucca Mountain, Nevada, U.S. Geol. Surv. Water Resour. Invest. Rep., 96-4.58.
55. Youngs, D. L. (1984), An interface tracking method for a 3D Eulerian hydrodynamics code, Tech. Rep. 44/92/35, At. Weapons Res. Establ., Aldermaston, U. K.