Estimation of closure of a fracture under normal stress based on aperture data

International Journal of Rock Mechanics and Mining Sciences

Volumn 45, Issue 2, 2008, Pages 194-209

  Matsuki, K ^a   Wang, E Q ^b   Giwelli, A A ^a   Sakaguchi, K ^a  

^a TOHOKU UNIVERSITY   (Japan)

^b TONGJI UNIVERSITY   (China)

Author keywords

Closure; Effective initial aperture; Hydraulic fracture; Normal stress; Tensile fracture; 2 distribution

Indexed keywords

GAUSSIAN DISTRIBUTION; PROBABILITY DENSITY FUNCTION; STRESSES; TENSILE STRENGTH;

CLOSURE CURVE; EFFECTIVE INITIAL APERTURE; NORMAL STRESS; TENSILE FRACTURE;

HYDRAULIC FRACTURING;

ELASTICITY; ESTIMATION METHOD; HYDRAULIC FRACTURE; LOADING; NONLINEARITY; PROBABILITY DENSITY FUNCTION; STRESS ANALYSIS; TENSILE STRENGTH;

EID: 38149042649     PISSN: 13651609     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijrmms.2007.04.009     Document Type: Article

References (25)

1. US National Committee for Rock Mechanics. Rock fractures and fluid flow (1996), National Academy Press, Washington, DC
2. Kranz R.L., Frankel A.D., Engelder T., and Scholz C.H. The permeability of whole and jointed Barre granite. Int J Rock Mech Min Sci 16 (1979) 225-234
3. Witherspoon P.A., Wang J.S.Y., Iwai K., and Gale J.E. Validity of cubic law for fluid flow in a deformable rock fracture. Water Resourc Res 16 (1980) 1016-1024
4. Walsh J.B. Effect of pore pressure and confining pressure on fracture permeability. Int J Rock Mech Min Sci 18 (1981) 429-435
5. Brown S.R. Fluid flow through rock joints: the effect of surface roughness. J Geophys Res 92 (1987) 1337-1347
6. Brown S.R. Transport of fluid and electric current through a single fracture. J Geophys Res 94 (1989) 9429-9438
7. Thompson M.E., and Brown S.R. The effect of anisotropic surface roughness on flow and transport in fractures. J Geophys Res 96 (1991) 21923-21932
8. Amadei B., and Illangsekare T. A mathematical model for flow and transport in non-homogeneous rock fractures. Int J Rock Mech Min Sci 31 (1994) 719-731
9. Matsuki K., Lee J.J., and Sakaguchi K. Size effect in flow conductance of a closed small-scale hydraulic fracture in a granite. Geotherm Sci Tech 6 (1999) 113-138
10. Matsuki K., Chida Y., Sakaguchi K., and Glover P.W.J. Size effect on aperture and permeability of a fracture as estimated in large synthetic fractures. Int J Rock Mech Min Sci 43 (2006) 726-755
11. Goodman R.E. Methods of geological engineering discontinuous rock (1976), West Publishing Co, St. Paul
12. Yoshinaka R., Yoshida J., and Sasaki K. Evaluation of mechanical parameters of rock discontinuities considering scale effect [in Japanese with English abstract]. J Geotech Engin JSCE 62 (2006) 457-470
13. Pyrak-Nolte LJ, Myer LR, Cook NGW, Witherspoon PA. Hydraulic and mechanical properties of natural fractures in low permeability rock. In: Proceedings of Sixth International Congress Rock Mechanism, Montreal, 1987. p. 225-31.
14. Brown S.R., and Scholz C.H. Closure of random elastic surfaces in contact. J Geophys Res 90 (1985) 5531-5545
15. Timoshenko S., and Goodier J.N. Theory of elasticity (1951), McGraw-Hill, New York
16. Brown S.R., Kranz R.L., and Bonner B.P. Correlation between the surfaces of natural rock joints. Geophys Res Lett 13 (1986) 1430-1433
17. Glover O.W.J., Matsuki K., Hikima R., and Hayashi K. Synthetic rough fractures in rocks. J Geophys Res 103 (1998) 9609-9620
18. Sakaguchi K, Tomono J, Okumura K, Ogawa Y, Matsuki K. Asperity height of aperture of an artificial tensile fracture of metric scale. Rock Mech Rock Eng 2007; in press. doi:10.1007/s00603-005-0102-3.
19. Hasibuan SS. Study on determination of fracture toughness of rocks with core-based specimens and microstructural characterization. PhD thesis, Tohoku University, 1990.
20. Matsuki K., Wang E.Q., Sakaguchi K., and Okumura K. Time-dependent closure of a fracture with rough surfaces under constant normal stress. Int J Rock Mech Min Sci 38 (2001) 607-619
21. Brown S.R. Simple mathematical model of a rough fracture. J Geophys Res 100 (1995) 5941-5952
22. Nayak P.R. Random process model of rough surfaces. J Lubr Tech 93 (1971) 398-407
23. Adler R.J., and Firman D. A non-Gaussian model for random surfaces. Phil Trans Roy Soc Lond, Ser A 303 (1981) 433-462
24. Matsuki K., Lee J.J., and Kojima T. A simulation of the closure of a small-scale hydraulic fracture in a granite [in Japanese with English abstract]. J Geotherm Res Soc Japan 18 (1996) 27-37
25. Gumbel E. Statistics of extremes (1958), Columbia University Press, New York