Permeability correction factor for fractures with permeable walls

Geophysical Research Letters

Volumn 39, Issue 3, 2012, Pages

  Mohais, R ^a   Xu, C ^a   Dowd, P A ^a   Hand, M ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

GEOTHERMAL FIELDS; REYNOLDS NUMBER; MECHANICAL PERMEABILITY;

CORRECTION FACTORS; EFFECTIVE FRACTURE; EFFECTIVE PERMEABILITY; ENHANCED GEOTHERMAL SYSTEMS; FRACTURE NETWORK; FRACTURE PERMEABILITY; FRACTURE WALLS; HEAT EXCHANGE; HEATED FLUIDS; HOT DRY ROCK; ON FLOW; PERMEABLE WALL; PRODUCTION WELLS; WALL PERMEABILITY;

FRACTURE;

FRACTURE NETWORK; GEOTHERMAL SYSTEM; HEAT FLUX; HOT DRY ROCK; PERMEABILITY; REYNOLDS NUMBER; CORRECTION; CRYSTALLINE ROCK; GEOTHERMAL ENERGY; WALL;

EID: 84856754673     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2011GL050519     Document Type: Article

References (37)

1. Abelin, H., I. Neretnieks, S. Tunbrant, and L. Moreno (1985), Final report on the migration in a single fracture: Experimental results and evaluations, Tech. Rep. 85-03, Nucl. Fuel Safety Proj., Stockholm.
2. Atkinson, B. K., D. MacDonald, and P. G. Meredith (1994), Acoustic response and fracture mechanics of granite subjected to thermal and stress cycling experiments, in Proceedings of the 3rd International Conference on Acoustic Emission and Microseismic activity, edited by H. R. Hardy and F. W. Leighton, pp. 5-18, Trans. Tech. Publ., Clausthal, Germany.
3. Auriault, J. L. (2009), On the domain of validity of Brinkman's equation, Transp. Porous Media, 79, 215-223.
4. Beavers, G. S., and D. D. Joseph (1967), Boundary conditions at a naturally permeable wall, J. Fluid Mech., 30, 197-207.
5. Beavers, G. S., E. M. Sparrow, and R. A. Magnuson (1970), Experiments on coupled parallel flows in a channel and bounding porous medium, ASME J. Basic Eng., 92, 843-848.
6. Berkowitz, B. (1989), Boundary conditions along permeable fracture walls: Influence on flow and conductivity, Water Resour. Res., 25, 1919-1922. (Pubitemid 20400002)
7. Berman, A. S. (1953), Laminar flow in channels with porous walls, J. Appl. Phys., 24, 1232-1235.
8. Brown, S. R. (1987), Fluid flow through rock joints: The effect of surface roughness, J. Geophys. Res., 92, 1337-1347.
9. Brown, S. R. (1995), Simple mathematical model of a rough fracture, J. Geophys. Res., 100, 5941-5952. (Pubitemid 26464833)
10. Brown, S. R., H. W. Stockman, and S. J. Reeves (1995), Applicability of Reynolds equation for modelling fluid flow between rough surfaces, Geophys. Res. Lett., 22, 2537-2540. (Pubitemid 26458692)
11. Chandesris, M., and D. Jamet (2007), Boundary conditions at a fluid-porous interface, Int. J. Heat Mass Transfer, 50, 3422-3436.
12. Chang, M. H., F. Chen, and B. Straughan (2006), Instability of Poiseuille flow in a fluid overlying a porous layer, J. Fluid Mech., 564, 287-303. (Pubitemid 44420001)
13. Christopher, H., and H. Armstead (1978), Geothermal Energy, E. and F. N. Spon, London.
14. Crandall, D., G. Ahmadi, and D. H. Smith (2010), Computational modelling of fluid flow through a fracture in permeable rock, Transp. Porous Media, 84, 493-510.
15. Darot, M., Y. Gueguen, and M.-L. Baratin (1992), Permeability of thermally cracked granite, Geophys. Res. Lett., 19, 869-872.
16. Fredrich, J. T., and T.-F. Wong (1986), Micromechanics of thermally induced cracking in three crustal rocks, J. Geophys. Res., 91, 12,743-12,764.
17. Goharzadeh, A., A. Khalili, and B. B. Jøhergensen (2005), Transition layer at a fluid porous interface, Phys. Fluids, 17, 057102.
18. Heard, H. C., and L. Page (1982), Elastic moduli, thermal expansion and inferred permeability of two granites to 350°C and 55 megapascals, J. Geophys. Res., 87, 9340-9348.
19. Iwai, K. (1976), Fundamental studies of fluid flow through a single fracture, PhD thesis, 208 pp., Univ. of Calif., Berkeley.
20. Ligrani, P., D. Blanchard, and B. Gale (2010), Slip due to surface roughness for a Newtonian liquid in a viscous microscale pump, Phys. Fluids, 22, 0520021.
21. Liu, R., Q. S. Liu, and S. C. Zhao (2006), Instability of Poiseuille flow in a fluid-porous system, Phys. Fluids, 20, 104105.
22. Mohais, R., C. Xu, and P. A. Dowd (2011), Fluid flow and heat transfer within a single horizontal channel in an Enhanced Geothermal System, J. Heat Transfer, 133, 1126031.
23. Neale, G., and W. Nader (1974), Practical Significance of Brinkman's extension of Darcy's law, Can. J. Chem. Eng., 52, 475-478.
24. Nield, D. A. (2009), The Beavers-Joseph boundary condition and related matters: A historical and critical note, Transp. Porous Media, 75, 537-540.
25. Phillips, O. M. (1991), Flow and Reactions in Permeable Rocks, Cambridge Univ. Press, Cambridge, U. K.
26. Rasouli, V., and A. Hosseinian (2011), Correlations developed for estimation of hydraulic parameters of rough fractures through the simulation of JRC flow channels, Rock Mech. Rock Eng., 44, 447-461.
27. Raven, K. G., and J. E. Gale (1985), Water flow in a natural rock fracture as a function of stress and sample size, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 22(4), 251-261. (Pubitemid 15541095)
28. Romm, E. S. (1966), Flow Characteristics of Fractured Rocks [in Russian], 283 pp., Nedra, Moscow.
29. Sahraoui, M., and M. Kaviany (1992), Slip and no-slip velocity boundary conditions at interface of porous, plain media, Int. J. Heat Mass Transfer, 35, 927-943.
30. Sausse, J., and A. Genter (2005),Types of permeable fractures in granite, in Petrophysical Properties of Crystalline Rocks, edited by P. K. Harvey, Geol. Soc. Spec. Publ., 240, 1-14.
31. Taylor, G. I. (1971), A model for the boundary condition of a porous material, J. Fluid Mech., 49, 319-326.
32. Terrill, R. M., and G. M. Shrestha (1965), Laminar flow through parallel and uniformly porous walls of different permeability, Z. Angew. Math. Phys., 16, 470-482.
33. Tilton, N., and L. Cortelezzi (2006), The destabilising effects of wall permeability in channel flow: A linear stability analysis, Phys. Fluids, 18, 051702.
34. Vaughn, P. J., D. E. Moore, C. A. Morrow, and J. D. Byerlee (1986), Roles of cracks in progressive permeability reduction during flow of heated aqueous fluid through granite, J. Geophys. Res., 91, 7517-7530.
35. Warpinski, N. R. (1985), Measurement of width and pressure in a propagating hydraulic fracture, SPE J., 25, 46-54. (Pubitemid 15474881)
36. Witherspoon, P. A., and J. C. S. Long (1987), Some recent developments in understanding the hydrology of fractured rocks, in Rock Mechanics: Proceedings of the 28th U.S. Symposium, edited by I. W. Farmer et al., pp. 1-12, A. A. Balkema, Rotterdam, Netherlands.
37. Zimmerman, R. W., and G. S. Bodvarsson (1996), Hydraulic conductivity of rock fractures, Transp. Porous Media, 23, 1-30.