A method for 3-D hydraulic fracturing simulation

International Journal of Fracture

Volumn 178, Issue 1-2, 2012, Pages 245-258

  Secchi, S ^a   Schrefler, B A ^b  

^a CNR   (Italy)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

3D finite element solution; Cohesive fracture model; Hydraulic fracturing

Indexed keywords

3D FINITE ELEMENT; COHESIVE FRACTURE MODEL; CONTINUOUS UPDATING; DELAUNAY TESSELLATIONS; DISCRETE FRACTURES; FLUID PRESSURES; FRACTURE PATH; FRACTURING SIMULATION; FULLY SATURATED POROUS MEDIA; FULLY-COUPLED; GOVERNING EQUATIONS; MAXIMUM PRINCIPAL STRESS; MESH GENERATORS; NORMAL DIRECTION;

CRACK TIPS; HYDRAULIC FRACTURING; POROUS MATERIALS; THREE DIMENSIONAL COMPUTER GRAPHICS;

FRACTURE;

EID: 84870706676     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-012-9742-y     Document Type: Conference Paper

References (41)

1. Advani SH, Lee TS, Dean RH, Pak CK, Avasthi JM (1997) Consequences of fluid lag in three-dimensional hydraulic fractures. Int J Numer Anal Methods Geomech 21: 229-240
2. Barenblatt GI (1959) The formation of equilibrium cracks during brittle fracture: general ideas and hypotheses. Axially-symmetric cracks. J Appl Math Mech 23: 622-636
3. Bolzon G, Corigliano A (2000) Finite elements with embedded displacement discontinuity: a generalized variable formulation. Int J Numer Methods Eng 49: 1227-1266
4. Boone TJ, 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
5. Camacho GT, Ortiz M (1996) Computational modelling of impact damage in brittle materials. Int J Solids Struct 33: 2899-2938
6. Campagna S, Karbacher S (2000) Polygon meshes. In: Girod B, Greiner G, Niemann N (eds) Principles of 3D image analysis and synthesis. Kluwer Academic Publisher, Boston, pp 142-
7. Carter BJ, Desroches J, Ingraffea AR, Wawrzynek PA (2000) Simulating fully 3-D hydraulic fracturing. In: Wawrzynek PA, Wawrzynek PA, Wawrzynek PA (eds) Modeling in geomechanics. Wiley, Chichester, pp 525-567
8. Cleary MP (1978) Moving singularities in elasto-diffusive solids with applications to fracture propagation. Int J Solids Struct 14: 81-97
9. Detournay E, Cheng AH (1991) Plane strain analysis of a stationary hydraulic fracture in a poroelastic medium. Int J Solids Struct 27: 1645-1662
10. Dugdale DS (1960) Yielding of steel sheets containing slits. J Mech Phys Solids 8: 100-104
11. Feist C, Hofstetter G (2006) An embedded strong discontinuity model for cracking of plain concrete. Comput Methods Appl Mech Eng 195(52): 7115-7138
12. Garagash D, Detournay E (2000) The tip region of a fluid-driven fracture in an elastic medium. J Appl Mech 67: 183-192
13. Guibas LJ, Stolfi J (1985) Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams. ACM Trans Graph 4: 74-123
14. Gravouil A, Moes N, Belytschko T (2002) Non-planar 3D crack growth by the extended finite element and level sets-part II: level set update. Int J Numer Methods Eng 53: 2569-2586
15. Hilleborg A, Modeer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concret Res 6: 773-782
16. Huang NC, Russel SG (1985a) Hydraulic fracturing of a saturated porous medium-I: general theory. Theor Appl Fract Mech 4: 201-213
17. Huang NC, Russel SG (1985b) Hydraulic fracturing of a saturated porous medium-II: special cases. Theor Appl Fract Mech 4: 215-222
18. ICOLD (1999) Fifth international benchmark workshop on numerical analysis of dams, Theme A2, Denver, Colorado
19. Lewis RW, Schrefler BA (1989) The finite element method in the static and dynamic deformation and consolidation in porous media. Wiley, Chichester
20. Moes N, Belytschko T (2002) Extended finite element method for cohesive crack growth. Eng Fract Mech 69(7): 813-833
21. Moes N, Gravouil A, Belytschko T (2002) Non-planar 3D crack growth by the extended finite element and level sets-Part I: mechanical model. Int J Numer Methods Eng 53: 2549-2568
22. Oliver J, Huespe AE, Pulido MDG, Chaves E (2001) From continuum mechanics to fracture mechanics: the strong discontinuity approach. Eng Fract Mech 69(2): 113-136
23. Oñate E, Owen R (2011) Particle-based methods. Springer, New York
24. Oñate E, Idelsohn SR, Del Pin F, Aubry R (2004) The particle finite element method. An overview. Int J Comput Methods 1(2): 267-307
25. Perkins TK, Kern LR (1961) Widths of hydraulic fractures. SPE J 222: 937-949
26. Réthoré J, de Borst R, Abellan MA (2008) A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks. Comput Mech 42: 227-238
27. Rice JR, Cleary MP (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 multifield problems including cohesive fracture. CMAME 195: 444-461
29. Secchi S, Simoni L (2003) An Improved Procedure for 2-D unstructured Delaunay mesh generation. Adv Eng Softw 34: 217-234
30. Secchi S, Simoni L, Schrefler BA (2007) Numerical procedure for discrete fracture propagation in porous materials. Int J Numer Anal Methods Geomech 31: 331-345
31. Secchi S, Simoni L, Schrefler BA (2008) Numerical difficulties and computational procedures for thermo-hydro-mechanical coupled problems of saturated porous media. Comput Mech 43: 179-189
32. Sukumar N, Chopp DL, Bechet E, Moes N (2008) Three dimensional non-planar crack growth by a coupled extended finite element and fast marching method. Int J Numer Methods Eng 76: 727-748
33. TAMEST (2011) The Academy of Medicine, Engineering & Science of Texas, Texas Energy Summit, Executive Summary, Austin, Texas 78701
34. Turska E, Schrefler BA (1993) On convergence conditions of partitioned solution procedures for consolidation problems. Comput Methods Appl Mech Eng 106: 51-63
35. Wawrzynek PA, Ingraffea AR (1989) An interactive approach to local remeshing around a propagating crack. Finite Elem Anal Design 5(1): 87-96
36. Weiler K (1985) Edge-based data structures for solid modeling in curved surface environments. IEEE Comput Graph Appl 5(1): 21-40
37. Weiler K (1988) The radial-edge structure: a topological representation for non-manifold geometric boundary representation. In: Wozny MJ, McLaughlin HW, Encarnacao JL (eds) Geometric modeling for CAD applications. North Holland, New York, pp 3-36
38. Wells GN, Sluys LJ (2001) Three-dimensional embedded discontinuity model for brittle fracture. Int J Solids Struct 38(5): 897-913
39. Witherspoon PA, Wang JSY, Iwai K, Gale JE (1980) Validity of Cubic law for fluid flow in a deformable rock fracture. Water Resour Res 16: 1016-1024
40. Zhu JZ, Zienkiewicz OC (1988) Adaptive techniques in the finite element method. Commun Appl Numer Methods 4: 197-204
41. Zienkiewicz OC, Chan A, Pastor M, Schrefler BA, Shiomi T (1999) Computational geomechanics with special reference to earthquake engineering. Wiley, Chichester