The influence of the cohesive process zone in hydraulic fracturing modelling

International Journal of Fracture

Volumn 167, Issue 1, 2011, Pages 33-45

  Sarris, E ^a   Papanastasiou, P ^a  

^a UNIVERSITY OF CYPRUS   (Cyprus)

Author keywords

Cohesive zone; Finite Elements; Hydraulic fracturing; Net Pressures; Poroelasticity

Indexed keywords

COHESIVE MODEL; COHESIVE ZONES; CONFINING STRESS; CONVENTIONAL MODELS; CRACK LENGTH; CRACK PROFILES; FIELD MEASUREMENT; FINITE ELEMENT; FINITE ELEMENT ANALYSIS; FLUID FLOW; FRACTURE GEOMETRIES; FRACTURE OPENING; FRACTURE PROPAGATION; INCOMPRESSIBLE VISCOUS FLUIDS; LINEAR ELASTIC; LUBRICATION THEORY; NET-PRESSURES; PLAIN STRAIN; PORO-ELASTICITY; POROELASTIC; POROELASTIC SOLID; PRESSURE INCREASE; PROCESS ZONE; ROCK DEFORMATION; WELLBORE;

CRACKS; FINITE ELEMENT METHOD; FLOW OF FLUIDS; FLUIDS; HYDRAULIC FRACTURING; HYDRAULICS;

FRACTURE;

EID: 78651381412     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-010-9515-4     Document Type: Article

References (34)

1. Abaqus (2006) Version 6.6 Manuals
2. Adachi J, Siebrits E, Peirce A, Desroches J (2007) Computer simulation of hydraulic fractures. Int J Rock Mech Min Sci 44:739-757
3. Adachi J, Detournay E (2008) Plain strain propagation of a hydraulic fracture in permeable rock. Eng Frac Mech 75:4666-4694
4. Barenblatt GI (1959) The formation of equilibrium cracks during brittle fracture: general ideas and hypothesis, axially symmetric cracks. Appl Math Mech (PMM) 23:622-636
5. Barenblatt GI (1962) The mathematical theory of equilibrium cracks in brittle fracture. Adv Appl Mech 7:55-129
6. Biot MA (1941) General theory of three dimensional consolidation. J Appl Phys 12:155-164
7. Boone TJ, Wawrzynek PA, Ingraffea AR (1986) Simulation of fracture process in rockwith application to hydrofracturing. Int J Rock Mech Min Sci Geomech Abstr 23:255-265
8. Boone JT, Ingraffea AR (1990) A numerical procedure for simulation of hydraulically driven fracture propagation in poroelastic media. Int J Numer Anal Methods Geomech 14:27-47
9. Camacho GT, Ortiz M (1996) Computational modeling of impact damage in brittle materials. Int J Solils Struct 33:2899-2938
10. Dugdale DS (1960) Yielding of steel sheets containing slits. J Mech Phys Solids 8:100-104
11. Economides M, Nolte K (2000) Reservoir stimulation. Wiley, Chichester
12. Espinosa HD, Zavattieri PD (2003) A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: theory and numerical implementation. Mech Mater 35:333-364
13. Geubelle PH, Baylor JS (1998) Impact induced delamination of composites: 2D simulation. Compos Part B 29:589-602
14. Hillerborg A, Modeer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6:773-782
15. Jeffrey RG, Settari A, Mills KW, Zhang X, Detournay E (2001) Hydraulic fracturing to induce caving: fracture model development and comparison to field data. In: Elsworth D, Tinucci JP, Heasley KA (eds.) Rock mechanics in the national interest-proceedings of the 38th US rock mechanics symposium, Lisse Balkema 1:251-259
16. Kanninen MF, Popelar CH (1985) Advanced fracture mechanics. Oxford University Press, NY
17. Legarth B, Huenges E, Zimmermann G (2005) Hydraulic fracturing in sedimentary geothermal reservoir: results and implications. Int J Rock Mech Min Sci 42:1028-1041
18. Lewis RW, Schreffler BA (2000) The finite element method in the static and dynamic deformation and consolidation of porous media. Wiley, London
19. Moschovidis Z et al. (2000) The Mounds drill-cuttings injection experiment: final results and conclusions. In: Proceedings of the IADC/SPE drilling conference. Richardson: Society of Petroleum Engineers; [SPE 59115]
20. Murdoch LC, Slack WW (2002) Forms of hydraulic fractures in shallow fine grained formations. J Geotech Geoenviron 128:479-487
21. Needleman A (1987) A continuum model for void nucleation by inclusion debonding. ASME J Appl Mech 54:525-531
22. Papanastasiou P, ThiercelinM (1993) Influence of inelastic rock behavior in hydraulic fracturing. Int J Rock Mech Min Sci Geomech Abstr 30:1241-1247
23. Papanastasiou P (1997) The influence of plasticity in hydraulic fracturing. Int J Fract 84:61-79
24. Papanastasiou P (1999a) An efficient algorithm for propagating fluid driven fractures. Comput Mech 24:258-267
25. Papanastasiou P (1999b) The effective fracture toughness approach in hydraulic fracturing. Int J Fract 96:127-147
26. Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 57:379-386
27. Rice JR, ClearyMP (1976) Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents. Rev Geophys Space Phys 14:227-241
28. Schrefler BA, Secchi S, Simoni L (2006) On adaptive refinement techniques in multi-field problems including cohesive fracture. Comput Methods Appl Mech Eng 195:444-461
29. Sinclair GB (1996) On the influence of cohesive stress-separation laws on elastic stress singularities. J Elast 44:203-221
30. Spence DA, Turcotte DL (1985) Magma-driven propagation crack. J Geophys Res 90:575-580
31. Van Dam DB, Papanastasiou P, De Pater CJ (2002) Impact of rock plasticity on hydraulic fracture propagation and closure. J Prod Facil (SPE 78812) 17(3):149-159
32. 2: an assessment of research needs. Adv Geophys 43: 97-177
33. Xu X-P, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42(9):1397-1434
34. Zienkiewicz OC (1984) Coupled problems and their numerical solution. In: Lewis RW, Bettess P, Hinton E (eds) Numerical methods in coupled systems. Wiley, London