Fluid flow regimes and nonlinear flow characteristics in deformable rock fractures

Journal of Hydrology

Volumn 477, Issue , 2013, Pages 139-151

  Zhang, Zhenyu ^a   Nemcik, Jan ^a  

^a UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

Darcy's law; Flow regime; Nonlinear flow; Rock fracture

Indexed keywords

CONFINING STRESS; CONTACT AREAS; CRITICAL REYNOLDS NUMBER; CRITICAL STATE; DARCY'S LAW; FLOW PATHWAYS; FLOW REGIMES; FORCHHEIMER EQUATION; FRACTURE FLOW; FRACTURE ROUGHNESS; HIGH FLOW; NONLINEAR COEFFICIENT; NONLINEAR EFFECT; NONLINEAR FACTORS; NONLINEAR FLOW; ON FLOW; RATE OF INCREASE; ROCK FRACTURES; SMALL APERTURE; TRANSMISSIVITY; TRIAXIAL CELLS; VOLUMETRIC FLOW RATE; WATER FLOWS;

CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); DEFORMATION; FLOW RATE; FRACTURE; GROUNDWATER FLOW; HYDRAULICS; REGRESSION ANALYSIS; REYNOLDS NUMBER; SEEPAGE;

NONLINEAR EQUATIONS;

DARCY LAW; DEFORMATION; FLOW PATTERN; FLOW VELOCITY; FLUID FLOW; FRACTURE FLOW; FRACTURED MEDIUM; NONLINEARITY; PRESSURE GRADIENT; REGRESSION ANALYSIS; REYNOLDS NUMBER; ROCK MECHANICS; SANDSTONE; TORTUOSITY; TRANSMISSIVITY;

EID: 84871493030     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2012.11.024     Document Type: Article

References (39)

1. Ahmed N., Sunada D.K. Non-linear flow in porous media. J. Hydraul. Div. - Proc. Am. Soc. Civ. Eng. 1969, 1847-1857.
2. Bandis S.C., Lumsden A.C., Barton N.R. Fundamentals of rock joint deformation. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 1983, 20(6):249-268.
3. Barton N., Bandis S., Bakhtar K. Strength, deformation and conductivity coupling of rock joints. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 1985, 22(3):121-140.
4. Barton N., de Quadros E.F. Joint aperture and roughness in the prediction of flow and groutability of rock masses. Int. J. Rock Mech. Min. Sci. 1997, 34(3-4):252.e1-252.e14.
5. Bordier C., Zimmer D. Drainage equations and non-Darcian modelling in coarse porous media or geosynthetic materials. J. Hydrol. 2000, 228(3-4):174-187.
6. Cappa F., Guglielmi Y., Fénart P., Merrien-Soukatchoff V., Thoraval A. Hydromechanical interactions in a fractured carbonate reservoir inferred from hydraulic and mechanical measurements. Int. J. Rock Mech. Min. Sci. 2005, 42(2):287-306.
7. Chen Z., Narayan S.P., Yang Z., Rahman S.S. An experimental investigation of hydraulic behaviour of fractures and joints in granitic rock. Int. J. Rock Mech. Min. Sci. 2000, 37(7):1061-1071.
8. Cornet F.H., Li L., Hulin J.P., Ippolito I., Kurowski P. The hydromechanical behaviour of a fracture: an in situ experimental case study. Int. J. Rock Mech. Min. Sci. 2003, 40(7-8):1257-1270.
9. Crandall D., Ahmadi G., Smith D. Computational modeling of fluid flow through a fracture in permeable rock. Transp. Porous Media 2010, 84(2):493-510.
10. Ferer, M., Crandall, D., Ahmadi, G., Smith, D.H., 2011. Two-phase flow in a rough fracture: experiment and modeling. Phys. Rev. E., 84(1), 016316. http://dx.doi.org/10.1103/PhysRevE.84.016316.
11. Forchheimer P. Wasserbewegung durch Boden. ZVDI 1901, 45:1782-1788.
12. Gangi A.F. Variation of whole and fractured porous rock permeability with confining pressure. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 1978, 15(5):249-257.
13. Giorgi T. Derivation of the Forchheimer law via matched asymptotic expansions. Transp. Porous Media 1997, 29(2):191-206.
14. Hassanizadeh M., Gray W.G. General conservation equations for multi-phase systems: 3. Constitutive theory for porous media flow. Adv. Water Resour. 1980, 3(1):25-40.
15. Hassanizadeh S.M., Gray W.G. High velocity flow in porous media. Transp. Porous Media 1987, 2(6):521-531.
16. Izbash, S.V., 1931. O filtracii v kropnozernstom material. Izv. Nauchnoissled, Inst. Gidrotechniki (NIIG), Leningrad, USSR.
17. Lomize G.M. Flow in fractured rocks 1951, Gosenergoizdat, Moscow, (in Russian).
18. Lucas Y., Panfilov M., Bues M. High velocity flow through fractured and porous media: the role of flow non-periodicity. Eur. J. Mech., B/Fluids. 2007, 26(2):295-303.
19. Ma H., Ruth D.W. The microscopic analysis of high Forchheimer number flow in porous media. Transp. Porous Media 1993, 13(2):139-160.
20. Moutsopoulos K.N., Papaspyros I.N.E., Tsihrintzis V.A. Experimental investigation of inertial flow processes in porous media. J. Hydrol. 2009, 374(3-4):242-254.
21. Moutsopoulos K.N., Tsihrintzis V.A. Approximate analytical solutions of the Forchheimer equation. J. Hydrol. 2005, 309:93-103.
22. Nazridoust K., Ahmadi G., Smith D.H. A new friction factor correlation for laminar, single-phase flows through rock fractures. J. Hydrol. 2006, 329(1-2):315-328.
23. Neuman S.P. Theoretical derivation of Darcy's law. Acta Mech. 1977, 25(3):153-170.
24. Nowamooz A., Radilla G., Fourar M. Non-Darcian two-phase flow in a transparent replica of a rough-walled rock fracture. Water Resour. Res. 2009, 45(7).
25. Oron A.P., Berkowitz B. Flow in rock fractures: the local cubic law assumption reexamined. Water Resour. Res. 1998, 34(11):2811-2825.
26. Panfilov M., Fourar M. Physical splitting of nonlinear effects in high-velocity stable flow through porous media. Adv. Water Resour. 2006, 29(1):30-41.
27. Panfilov M., Oltean C., Panfilova I., Buès M. Singular nature of nonlinear macroscale effects in high-rate flow through porous media. Comptes Rendus Mec. 2003, 331(1):41-48.
28. Ranjith P.G., Darlington W. Nonlinear single-phase flow in real rock joints. Water Resour. Res. 2007, 43(9).
29. Roman A., Ahmadi G., Issen K.A., Smith D.H. Permeability of fractured media under confining pressure: a simplified model. Open Pet. Eng. J. 2012, 5:36-41.
30. Ruth D., Ma H. On the derivation of the Forchheimer equation by means of the averaging theorem. Transp. Porous Media 1992, 7(3):255-264.
31. Skjetne E., Hansen A., Gudmundsson J.S. High-velocity flow in a rough fracture. J. Fluid Mech. 1999, 383:1-28.
32. Tsang Y.W., Witherspoon P.A. Hydromechanical behavior of a deformable rock fracture subject to normal stress. J. Geophys. Res. 1981, 86(B10):9287-9298.
33. Ward J.C. Turbulent flow in porous media. J. Hydraul. Div. 1964, 90(3):1-12.
34. Whitaker S. Flow in porous media I: a theoretical derivation of Darcy's law. Transp. Porous Media 1986, 1(1):3-25.
35. Whitaker S. The Forchheimer equation: a theoretical development. Transp. Porous Media 1996, 25(1):27-61.
36. Witherspoon P.A., Wang J.S.Y., Iwai K., Gale J.E. Validity of cubic law for fluid flow in a deformable rock fracture. Water Resour. Res. 1980, 16(6):1016-1024.
37. Zeng Z., Grigg R. A criterion for non-Darcy flow in porous media. Transp. Porous Media 2006, 63:57-69.
38. Zimmerman R.W., Al-Yaarubi A., Pain C.C., Grattoni C.A. Non-linear regimes of fluid flow in rock fractures. Int. J. Rock Mech. Min. Sci. 2004, 41(Suppl. 1):1-7. (1A 27).
39. Zimmerman R.W., Bodvarsson G.S. Hydraulic conductivity of rock fractures. Transp. Porous Media 1996, 23(1):1-30.