Simulation of hydraulic fracturing using an explicit moving mesh algorithm

DC Rocks 2001 - 38th U.S. Symposium on Rock Mechanics (USRMS)

Volumn , Issue , 2001, Pages 243-250

  Adachi, José I ^a   Detoumay, Emmanuel ^a   Savitski, Alexei A ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE DIFFERENCE METHOD; FRACTURE TOUGHNESS; HYDRAULIC FRACTURING; NEWTONIAN LIQUIDS; NUMERICAL METHODS; NUMERICAL MODELS; ROCK MECHANICS; ROCKS; STRAIN;

DISPLACEMENT DISCONTINUITY METHOD; EXPLICIT FINITE DIFFERENCES; INCOMPRESSIBLE FLUID; MOVING COORDINATES; MOVING MESH ALGORITHMS; NEWTONIAN FLUIDS; POWER-LAW RHEOLOGY; SELF-SIMILAR SOLUTION;

FRACTURE;

EID: 2142753522     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. Adachi, J.I. 2001. Fluid-Driven Fracture in Impermeable and Permeable Rock. Ph.D. thesis, Minneapolis: University of Minnesota.
2. Adachi, J.I., Detournay, E. & Carbonell, R.S. 2001. Plane strain propagation of a hydraulic fracture II: Zero-toughness self-similar solution. Proc. R. Soc. London, to be submitted.
3. Ben-Naceur, K. 1989. Modeling of hydraulic fractures. In M.J. Economides & K.G. Nolte (eds), Reservoir Stimulation, 2nd. ed., Englewood Cliffs: Prentice Hall.
4. Crouch, S.L. & Starfield, A. 1983. Boundary Element Methods in Solid Mechanics, Boston: Unwin-Hyman Ltd.
5. Desroches, J., Detournay, E., Lenoach, B., Papanastasiou, P., Pearson, J.R.A., Thiercelin, M. & Cheng, A.H.-D. 1994. The crack tip region in hydraulic fracturing, Proc. Roy. Soc. London, A(447): 39-48.
6. Desroches, J. & Thiercelin, M. 1993. Modeling propagation and closure of micro-hydraulic fractures, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 30: 1231-1234.
7. Detournay, E., Cheng, A. H-D. & McLennan, J.D. 1990. A poroelastic PKN hydraulic fracture model based on an explicit moving mesh algorithm, ASME J. Energy Resources, 112: 224-230.
8. Detournay, E. 2001. Propagation regimes of fluid-driven fractures in impermeable rocks. In C.S. Desai, T. Kundu, S. Harpalani, D. Contractor & J. Kemeny (eds), Proc. 10th Int. Conf. on Computer Methods and Advances in Geomechanics, 2: 1277-1288, Rotterdam: Balkema.
9. Garagash, D. 2000. Hydraulic fracture propagation in elastic rock with large toughness. In J. Girard, M. Liebman, C. Breeds & T. Doe (eds), Pacific Rocks 2000 - Rock Around the Rim: 221-228, Rotterdam: Balkema.
10. Kanninen, M.F. & Popelar, C.H. 1985. Advanced Fracture Mechanics. New York: Oxford University Press.
11. Lister, J.R. 1990. Buoyancy-driven fluid fracture: the effects of material toughness and of highly viscous fluids. J. Fluid Mech. 210: 263-280.
12. Nilson, R.H. & Griffiths, S.K. 1983. Numerical analysis of hydraulically driven fractures, J. Comp. Meth. Appl. Mech. & Eng. 36: 359-370.
13. Patankar, S.V. 1980. Numerical Heat Transfer and Fluid Flow, Washington DC: Hemisphere Publ. Corp.
14. Ramamurthy, G. & Hujeux, J-C. 1988. A moving mesh integro-variational formulation applied to hydraulic fracturing, In Proc. Int. Conf. on Computer Engineering Science.
15. Savitski, A.A. & Detournay, E. 1999. Propagation of a penny-shape hydraulic fracture in an impermeable rock. In B. Amadei, R.L. Kranz, G.A. Scott & P.H. Smeallie (eds), Rock Mechanics for Industry, 2: 851-858, Rotterdam: Balkema.
16. Savitski, A.A. 2000. Propagation of a Penny-Shaped Hydraulic Fracture in an Impermeable Rock. Ph.D. thesis, Minneapolis: University of Minnesota.
17. Sneddon, I.N. & Lowengrub, M. 1969. Crack Problems in the Classical Theory of Elasticity. New York: Wiley.
18. Spence, D.A. & Sharp, P. 1985. Self-similar solutions for elastohydrodynamic cavity flow, Proc. Roy. Soc. London, A(400): 289-313.