A Model for Water Flow Through Rock Fractures Based on Friction Factor

Rock Mechanics and Rock Engineering

Volumn 48, Issue 2, 2015, Pages 559-571

  Zhang, Zhenyu ^a,b   Nemcik, Jan ^b   Qiao, Qiuqiu ^b   Geng, Xueyu ^c  

^a TAIYUAN UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF WOLLONGONG   (Australia)

^c UNIVERSITY OF ABERTAY DUNDEE   (United Kingdom)

Author keywords

Flow model; Relative roughness; Rock fracture; Water flow

Indexed keywords

FLOW OF WATER; FRICTION; HYDRAULICS; LIME; ROCKS; SENSITIVITY ANALYSIS;

ASPERITY HEIGHTS; CONTACT AREAS; FLOW MODEL; FRACTURE ROUGHNESS; FRICTION FACTORS; PARALLEL PLATES; ROCK FRACTURES; WATER FLOWS;

FRACTURE;

EID: 84923215188     PISSN: 07232632     EISSN: 1434453X     Source Type: Journal    
DOI: 10.1007/s00603-014-0562-4     Document Type: Article

References (30)

1. Al-Yaarubi AH, Pain C, Grasselli GA, Zimmerman RW (2005) Navier–Stokes simulations of fluid flow through a rock fracture. In: Faybishenko B, Witherspoon PA (eds) Proceedings of the second international symposium on dynamics of fluids in fractured rock. American Geophysical Union, California, pp 55–64. doi 10.1029/162GM07
2. Barton N, de Quadros EF (1997) Joint aperture and roughness in the prediction of flow and groutability of rock masses. Int J Rock Mech Min Sci 34(3–4):252;1–14
3. Barton N, Lien R, Lunde J (1974) Engineering classification of rock masses for the design of tunnel support. Rock Mech 6(4):189–236. doi:10.1007/bf01239496
4. Barton N, Bandis S, Bakhtar K (1985) Strength, deformation and conductivity coupling of rock joints. Int J Rock Mech Min Sci Geomech Abstr 22(3):121–140
5. Brown SR (1987) Fluid flow through rock joints: the effects of surface roughness. J Geophys Res 92(B2):1337–1347
6. Brown GO (2002) Henry Darcy and the making of a law. Water Resour Res 38(7):1106. doi:10.1029/2001wr000727
7. Cammarata G, Fidelibus C, Cravero M, Barla G (2007) The hydro-mechanically coupled response of rock fractures. Rock Mech Rock Eng 40(1):41–61. doi:10.1007/s00603-006-0081-z
8. Cook AM, Myer LR, Cook NG, Doyle FM (1990) The effect of tortuosity on flow through a natural fracture. In: Hustrulid WA, Johnson GA (eds) Rock mechanics contributions and challenges: proceeding of the 31st US symposium. AA Balkema, Golden, pp 371–378
9. Gangi AF (1978) Variation of whole and fractured porous rock permeability with confining pressure. Int J Rock Mech Min Sci Geomech Abstr 15(5):249–257
10. Jing L, Stephansson O (2007) Fundamentals of discrete element methods for rock engineering. Dev Geotech Eng 85. Elsevier
11. Lee CH, Farmer I (1993) Fluid flow in discontinuous rocks. Chapman and Hall, London
12. Lomize GM (1951) Filtratsiya v treshchinovatykh porodakh. Gosenergoizdat, Moscow
13. Lucas Y, Panfilov M, Bues M (2007) High velocity flow through fractured and porous media: the role of flow non-periodicity. Eur J Mech B Fluids 26(2):295–303
14. Murata S, Saito T (2003) Estimation of tortuosity of fluid flow through a single fracture. J Can Pet Technol 42:39–45
15. Murata S, Nakayama G, Saito T (2003) Effect of the contact condition of fracture on its permeability. In: Saito T, Murata S (eds) Environmental rock engineering: Proceeding of the 1st Kyoto international symposium on underground environment. Taylor and Francis, Kyoto, pp 155–161
16. Neuzil CE, Tracy JV (1981) Flow through fractures. Water Resour Res 17(1):1191–1199
17. Olsson R, Barton N (2001) An improved model for hydromechanical coupling during shearing of rock joints. Int J Rock Mech Min Sci 38(3):317–329
18. Oron AP, Berkowitz B (1998) Flow in rock fractures: the local cubic law assumption reexamined. Water Resour Res 34(11):2811–2825
19. Ranjith PG, Darlington W (2007) Nonlinear single-phase flow in real rock joints. Water Resour Res. doi:10.1029/2006WR005457
20. Tsang YW (1984) The effect of tortuosity on fluid flow through a single fracture. Water Resour Res 20(9):1209–1215
21. Tsang YW, Witherspoon PA (1981) Hydromechanical behavior of a deformable rock fracture subject to normal stress. J Geophys Res 86(B10):9287–9298
22. Ulusay R, Hudson JA (2007) The complete ISRM suggested methods for rock characterisation, testing and monitoring: 1974–2006. ISRM Commission on Testing Methods, Ankata
23. Wallis GB (1969) One-dimensional two-phase flow. McGraw-Hill, New York
24. Witherspoon PA, Wang JSY, Iwai K, Gale JE (1980) Validity of cubic law flow fluid flow in a deformable rock fracture. Water Resour Res 16(6):1016–1024
25. Yeo W (2001) Effect of contact obstacles on fluid flow in rock fractures. Geosci J 5(2):139–143
26. Zhang Z, Nemcik J (2013a) Friction factor of water flow through rough rock fractures. Rock Mech Rock Eng 46(5):1125–1134. doi:10.1007/s00603-012-0328-9
27. Zhang Z, Nemcik J (2013b) Fluid flow regimes and nonlinear flow characteristics in deformable rock fractures. J Hydrol 477:139–151. doi:10.1016/j.jhydrol.2012.11.024
28. Zimmerman RW, Yeo IW (2000) Fluid flow in rock fractures: from the Navier–Stokes equations to the cubic law. In: Faybishenko B, Witherspoon PA, Benson SM (eds) Dynamics of fluids in fractured rock. American Geophysical Union, Washington DC, pp 213–224. doi:10.1029/GM122p0213
29. Zimmerman RW, Chen DW, Cook NGW (1992) Effect of contact area on the permeability of fractures. J Hydrol 139(1–4):79–96
30. Zimmerman RW, Al-Yaarubi A, Pain CC, Grattoni CA (2004) Non-linear regimes of fluid flow in rock fractures. Int J Rock Mech Min Sci 41(Suppl 1). doi:10.1016/j.ijrmms.2004.03.036