Cohesive zone finite element-based modeling of hydraulic fractures

Acta Mechanica Solida Sinica

Volumn 22, Issue 5, 2009, Pages 443-452

  Chen, Zuorong ^a   Bunger, A P ^a   Zhang, Xi ^a   Jeffrey, Robert G ^a  

^a CSIRO   (Australia)

Author keywords

cohesive zone model; finite element method; hydraulic fracture

Indexed keywords

3-D NUMERICAL SIMULATION; ANALYTICAL SOLUTIONS; COHESIVE FINITE ELEMENT; COHESIVE MATERIALS; COHESIVE ZONE MODEL; COHESIVE ZONES; ELASTIC MEDIUM; FINITE ELEMENT; FINITE ELEMENT MODELS; FRACTURE PROCESS; FRACTURE PROPAGATION; HYDRAULIC FRACTURE; HYDRAULIC FRACTURING PROCESS; LIMITING CASE; ROCK FRACTURE TOUGHNESS; STRONG NONLINEAR COUPLING;

FRACTURE; FRACTURE TOUGHNESS; HYDRAULIC FRACTURING; THREE DIMENSIONAL;

FINITE ELEMENT METHOD;

EID: 70350560508     PISSN: 08949166     EISSN: 18602134     Source Type: Journal    
DOI: 10.1016/S0894-9166(09)60295-0     Document Type: Article

References (30)

1. Jeffrey R.G., Settari A., Mills K.W., Zhang X., and Detournay E. Hydraulic fracturing to induce caving: fracture model development and comparison to field data. Rock Mechanics in the National Interest 1-2 (2001) 251-259
2. van As, A. and Jeffrey, R.G., Hydraulic fracturing as a cave inducement technique at Northparkes mines. In: Proceedings of MASSMIN 2000, 2000, 165-172.
3. Sun R.J. Theoretical size of hydraulically induced horizontal fractures and corresponding surface uplift in an idealized medium. Journal of Geophysical Research 74 25 (1969) 5995-6011
4. Spence D.A., and Turcotte D.L. Magma-driven propagation of cracks. Journal of Geophysical Research-Solid Earth and Planets 90 NB1 (1985) 575-580
5. Lister J.R., and Kerr R.C. Fluid-mechanical models of crack-propagation and their application to magma transport in dykes. Journal of Geophysical Research-Solid Earth and Planets 96 B6 (1991) 10049-10077
6. Rubin A.M. Propagation of magma-filled cracks. Annual Review of Earth and Planetary Sciences 23 (1995) 287-336
7. Adachi A., Siebrits E., Peirce A., and Desroches J. Computer simulation of hydraulic fractures. International Journal of Rock Mechanics and Mining Sciences 44 5 (2007) 739-757
8. Bunger A.P., Detournay E., and Garagash D.I. Toughness-dominated hydraulic fracture with leak-off. International Journal of Fracture 134 2 (2005) 175-190
9. Bunger A.P., and Detournay E. Experimental validation of the tip asymptotics for a fluid-driven crack. Journal of the Mechanics and Physics of Solids 56 11 (2008) 3101-3115
10. Clifton, R.J., Three-Dimensional Fracture-Propagation Model. In: Recent Advances in Hydraulic Fracturing - SPE Monograph, 1989, 95-108.
11. Detournay E. Propagation regimes of fluid-driven fractures in impermeable rocks. International Journal of Geomechanics 4 1 (2004) 35-45
12. Khristianovic, S.A. and Zheltov, Y.P., Formation of vertical fractures by means of highly viscous liquid. In: Proceedings of the Fourth World Petroleum Congress. Rome, 1955, 579-586.
13. Perkins T.K., and Kern L.R. Widths of hydraulic fractures. Transactions of the Society of Petroleum Engineers of AIME 222 9 (1961) 937-949
14. Geertsma J., and Klerk F.D. A rapid method of predicting width and extent of hydraulically induced fractures. Journal of Petroleum Technology 21 (1969) 1571-1581
15. Abe H., Mura T., and Keer L.M. Growth-rate of a penny-shaped crack in hydraulic fracturing of rocks. Journal of Geophysical Research 81 29 (1976) 5335-5340
16. Lecamplon B., and Detournay E. An implicit algorithm for the propagation of a hydraulic fracture with a fluid lag. Computer Methods in Applied Mechanics and Engineering 196 (2007) 4863-4880
17. Zhang X., Detournay E., and Jeffrey R. Propagation of a penny-shaped hydraulic fracture parallel to the free-surface of an elastic half-space. International Journal of Fracture 115 2 (2002) 125-158
18. Zhang X., Jeffrey R.G., and Thiercelin M. Deflection and propagation of fluid-driven fractures at frictional bedding interfaces: A numerical investigation. Journal of Structural Geology 29 3 (2007) 396-410
19. Zhang X., and Jeffrey R.G. The role of friction and secondary flaws on deflection and re-initiation of hydraulic fractures at orthogonal pre-existing fractures. Geophysical Journal International 166 3 (2006) 1454-1465
20. Lecampion B. An extended finite element method for hydraulic fracture problems. Communications in Numerical Methods in Engineering 25 2 (2009) 121-133
21. Zhao C.B., Hobbs B.E., Ord A., and Peng S.L. Particle simulation of spontaneous crack generation associated with the laccolithic type of magma intrusion processes. International Journal for Numerical Methods in Engineering 75 10 (2008) 1172-1193
22. Peirce A., and Detournay E. An implicit level set method for modeling hydraulically driven fractures. Computer Methods in Applied Mechanics and Engineering 197 33-40 (2008) 2858-2885
23. Barenblatt G.I. The mathematical theory of equilibrium of cracks in brittle fracture. Advances in Applied Mechanics 7 (1962) 55-129
24. Dugdale D.S. Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids 8 2 (1960) 100-104
25. Shet C., and Chandra N. Analysis of energy balance when using cohesive zone models to simulate fracture processes. Journal of Engineering Materials and Technology-Transactions of the ASME 124 4 (2002) 440-450
26. Tomar V., Zhai J., and Zhou M. Bounds for element size in a variable stiffness cohesive finite element model. International Journal for Numerical Methods in Engineering 61 11 (2004) 1894-1920
27. Batchelor G.K. An Introduction to Fluid Dynamics (1967), Cambridge University Press, London
28. ABAQUS Documentation, Version 6.7-1, 2007.
29. Rice J.R. The mechanics of earthquake rupture. In: Physics of the Earth's Interior (1980), North-Holland Publishing Company, Amsterdam
30. Savitski A.A., and Detournay E. Propagation of a penny-shaped fluid-driven fracture in an impermeable rock: asymptotic solutions. International Journal of Solids and Structures 39 26 (2002) 6311-6337