Similarity solutions for a shallow hydraulic fracture

Proceedings of the International Symposium of the International Society for Rock Mechanics, Eurock 2006 - Eurock 2006 Multiphysics Coupling and Long Term Behaviour in Rock Mechanics

Volumn , Issue , 2006, Pages 57-62

  Detournay, Emmanuel ^a   Bunger, Andrew P ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRAULIC FRACTURING; ROCK MECHANICS; ROCKS; STRAIN;

CONFINING STRESS; FRACTURE LENGTH; FRACTURE PROPAGATION; FREE SURFACES; INJECTED FLUIDS; PLANE STRAIN PROBLEM; SIMILARITY SOLUTION; TIME ASYMPTOTIC;

FRACTURE;

EID: 55549124560     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1201/9781439833469.ch6     Document Type: Conference Paper

References (24)

1. Barenblatt, G. (1962). The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. VII, 55-129.
2. Bunger, A. (2005). Near-Surface Hydraulic Fracture. Ph. D. thesis, University of Minnesota.
3. Bunger, A. and E. Detournay (2005). Asymptotic solution for a penny-shaped near-surface hydraulic fracture. Eng. Fract. Mec. 72(16), 2468-2486.
4. Bunger, A. and E. Detournay (2006). Scaling and intermediate asymptotic behavior of hydraulic fracture growing parallel to a free-surface. SIAM J. Appl. Math. In preparation.
5. Bunger, A., R. Jeffrey, and E. Detournay (2004, June). Toughness-dominated near-surface hydraulic fracture experiments. In D. P. Yale, S. M. Willson, and A. S. Abou-Sayed (Eds.), GulfRock04 Conference (6th NARMS), Houston. ARMA.
6. Detournay, E. (2004). Propagation regimes of fluid-driven fractures in impermeable rocks. Int. J. Geomechanics 4(1), 1-11.
7. Detournay, E. and D. Garagash (2006). Scaling laws for a radial hydraulic fracture propagating in a permeable rock. Proc. Roy. Soc. London, Ser. A. To be submitted.
8. Dyskin, A., L. Germanovich, and K. Ustinov (2000). Asymptotic analysis of crack interaction with free boundary. Int. J. Solids Structures 37(6), 857-886.
9. Garagash, D. (2006, March). Plane-strain propagation of a fluid-driven fracture during injection and shut-in: Asymptotics of large toughness. Eng. Fract. Mec. 73(4), 456-481.
10. Garagash, D. and E. Detournay (2000). The tip region of a fluid-driven fracture in an elastic medium. ASME J. Appl. Mech. 67, 183-192.
11. Geertsma, J. and F. de Klerk (1969). A rapid method of predicting width and extent of hydraulic induced fractures. J. Pet. Tech. 246, 1571-1581. (SPE 2458).
12. Jeffrey, R. and K. Mills (2000). Hydraulic fracturing applied to inducing longwall coal mine goaf falls. In Pacific Rocks 2000, Rotterdam, pp. 423-430. Balkema.
13. Khristianovic, S. and Y. Zheltov (1955). Formation of vertical fractures by means of highly viscous fluids. In Proc. 4th World Petroleum Congress, Rome, Volume II, pp. 579-586.
14. Murdoch, L. (1993). Hydraulic fracturing of soil during laboratory experiments. Part 2: Propagation. Geotechnique 43(2), 267-276.
15. Murdoch, L. (2002). Mechanical analysis of idealized shallow hydraulic fracture. J. Geotech. Geoenviron. 128(6), 488-495.
16. Perkins, T. and L. Kern (1961). Widths of hydraulic fractures. J. Pet. Tech., Trans. AIME 222, 937-949.
17. Pollard, D. and G. Hozlhausen (1979). On the mechanical interaction between a fluid-filled fracture and the earth's surface. Tectonophysics 53, 27-57.
18. Siebrits, E. and A. Peirce (2002). An efficient multi-layer planar 3D fracture growth algorithm using a fixed mesh approach. Int. J. Numer. Meth. Engng. 53, 691-717.
19. Spence, D. A. and P. W. Sharp (1985). Self-similar solution for elastohydrodynamic cavity flow. Proc. Roy. Soc. London, Ser. A 400, 289-313.
20. Wang, G., M. Dusseault, J. Pindera, and L. Rothenburg (1994). Influence of subsurface fractures on surface deformation of an elastic half-space. Int. J. Numer. Anal. Methods Geomech. 18, 287-303.
21. Wang, J. and R. Clifton (1990). Numerical modeling of hydraulic fracturing in layered formations with multiple elastic moduli. In Rock Mechanics Contributions and Challenges, Rotterdam, pp. 303-310. Balkema.
22. Young, C. (1999). Controlled-foam injection for hard rock excavation. In Rock Mechanics for Industry, Proceedings of 37th U.S. Rock Mechanics Symposium, Vail, Colorado, Vol 1, Rotterdam, pp. pp.115-122. Balkema.
23. Zhang, X., E. Detournay, and R. Jeffrey (2002). Propagation of a penny-shaped hydraulic fracture parallel to the free-surface on an elastic half-space. Int. J. Fracture 115, 125-158.
24. Zhang, X., R. Jeffrey, and E. Detournay (2005, November). Propagation of a hydraulic fracture parallel to a free surface. Int. J. Numer. Anal. Methods Geomech. 29(13), 1317-1340.