Viscosity-dominated hydraulic fractures

Proceedings of the 1st Canada-US Rock Mechanics Symposium - Rock Mechanics Meeting Society's Challenges and Demands

Volumn 2, Issue , 2007, Pages 1649-1656

  Detournay, E ^a   Peirce, A P ^b   Bunger, A P ^c  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^c CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK TIPS; FRACTURE MECHANICS; POLYMETHYL METHACRYLATES; ROCK MECHANICS; ROCKS; VISCOSITY;

ASYMPTOTIC BEHAVIORS; HYDRAULIC FRACTURING TREATMENTS; LABORATORY EXPERIMENTS; LINEAR ELASTIC FRACTURE MECHANICS; MATERIAL PARAMETER; OPTICAL TECHNIQUE; SEMI-ANALYTICAL SOLUTION; VISCOUS DISSIPATION;

HYDRAULIC FRACTURING;

EID: 56149098312     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1201/noe0415444019-c207     Document Type: Conference Paper

References (32)

1. Abou-Sayed, A. (1994). Safe injection pressures for disposing of liquid wastes: a case study for deep well injection (SPE/ISRM-28236). Proc. 2nd SPE/ISRM Rock Mechanics in Petroleum Engineering, Balkema, pp. 769-776.
2. Adachi, J. and E. Detournay (2002). Self-similar solution of a plane-strain fracture driven by a power-law fluid. Int. J. Numer. Anal. Methods Geomech. 26:579-604.
3. Adachi, J. and E. Detournay (2007). Plane-strain propagation of a fluid-driven fracture in a permeable medium. Eng. Fract. Mec.. Submitted.
4. Batchelor, G. (1967). An Introduction to Fluid Dynamics. Cambridge UK: Cambridge University Press.
5. Bunger, A. P. (2006). A photometry method for measuring the opening of fluid-filled fractures. Meas. Sci. Technol. 17:3237-3244.
6. Bunger, A. and E. Detournay (2007). Early time solution for a penny-shaped hydraulic fracture. ASCE J. Eng. Mech. 133.
7. Bunger, A. P. and E. Detournay (2007). The tip region in fluiddriven fracture experiments. J. Mech. Phys. Solids. In preparation.
8. Bunger, A. P., E. Detournay, D. I. Garagash, and A. P. Peirce (2007). Numerical simulation of hydraulic fracturing in the viscosity-dominated regime. In Proc. 2007 SPE Hydraulic Fracturing Technology Conference. SPE 110115.
9. Bunger, A., R. Jeffrey, and E. Detournay (2005). Application of scaling laws to laboratory-scale hydraulic fractures. In Alaska Rocks 2005. Published on CD-ROM, ARMA/USRMS 05-818.
10. Crouch, S. and A. Starfield (1983). Boundary Element Methods in Solid Mechanics. London: Allen and Unwin.
11. Desroches, J., E. Detournay, B. Lenoach, P. Papanastasiou, J. Pearson, M. Thiercelin, and A.-D. Cheng (1994). The crack tip region in hydraulic fracturing. Proc. Roy. Soc. London, Ser. A 447:39-48.
12. Detournay, E. (2004). Propagation regimes of fluid-driven fractures in impermeable rocks. Int. J. Geomechanics 4(1):1-11.
13. Detournay, E. and D. Garagash (2007). Scaling laws for a radial hydraulic fracture propagating in a permeable rock. Proc. Roy. Soc. London, Ser. A. To be submitted.
14. Economides, M. and K. Nolte (Eds.) (2000). Reservoir Stimulation (3rd ed.). Chichester UK: John Wiley & Sons.
15. Garagash, D. (2006). Transient solution for a plane-strain fracture driven by a power-law fluid. Int. J. Numer. Anal. Methods Geomech. 30(14): 1439-1475.
16. Garagash, D. and E. Detournay (2005, November). Plane-strain propagation of a fluid-driven fracture: Small toughness solution. ASME J. Appl. Mech. 72:916-928.
17. Garagash, D. I., E. Detournay, and J. Adachi (2007). The tip region of a fluid-driven fracture in a permeable elastic medium. J. Mech. Phys. Solids. In preparation.
18. 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.
19. Khristianovic, S. and Y. Zheltov (1955). Formation of vertical fractures by means of highly viscous fluids. In Proc. 4th World Petroleum Congress, Rome, Vol. II, pp. 579-586.
20. Lister, J. (1990). Buoyancy-driven fluid fracture: The effects of material toughness and of low-viscosity precursors. J. Fluid Mech. 210:263-280.
21. Lister, J. and R. Kerr (1991). Fluid-mechanical models of crack propagation and their application to magma transport in dykes. J. Geophys. Res. 96(B6):10,049-10,077.
22. Madyarova, M. and E. Detournay (2007). Fluid-driven pennyshaped fracture in permeable rock. Int. J. Numer. Anal. Methods Geomech.. Submitted.
23. Mitchell, S., R. Kuske, and A. Peirce (2006). An asymptotic framework for the analysis of hydraulic fractures: the impermeable case. ASME J. Appl. Mech.. In press.
24. Murdoch, L. (2002). Mechanical analysis of idealized shallow hydraulic fracture. J. Geotech. Geoenviron. 128(6): 488-495.
25. Peirce, A. P. and E. Detournay (2007). An Eulerian moving front algorithm with weak form tip asymptotics for modeling hydraulically driven fracture. Journal of Computational Physics. To be submitted.
26. Pollard, D. and G. Hozlhausen (1979). On the mechanical interaction between a fluid-filled fracture and the earth's surface. Tectonophysics 53:27-57.
27. Rice, J. (1968). Mathematical analysis in the mechanics of fracture. In H. Liebowitz (Ed.), Fracture, an Advanced Treatise, Vol. II, Chap. 3, pp. 191-311. Academic Press.
28. Rubin, A. (1995). Propagation of magma-filled cracks. Ann. Rev. Earth & Planetary Sci. 23:287-336.
29. Savitski, A. and E. Detournay (2002). Propagation of a fluid-driven penny-shaped fracture in an impermeable rock: Asymptotic solutions. Int. J. Solids Struct. 39(26):6311-6337.
30. 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.
31. Sneddon, I. (1951). Fourier Transforms. New York NY: McGraw-Hill.
32. Spence, D. A. and P. W. Sharp (1985). Self-similar solution for elastohydrodynamic cavity flow. Proc. Roy. Soc. London, Ser. A 400:289-313.