Modeling of near-surface bowl-shaped fractures

44th US Rock Mechanics Symposium - 5th US/Canada Rock Mechanics Symposium

Volumn , Issue , 2010, Pages

  Gordeliy, E ^a   Detournay, E ^a,b   Napier, J A L ^c  

^a UNIVERSITY OF MINNESOTA   (United States)

^b CSIRO   (Australia)

^c UNIVERSITY OF THE WITWATERSRAND   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

AXISYMMETRIC; DISPLACEMENT DISCONTINUITY METHOD; FRACTURE PROPAGATION; FRACTURE SURFACES; GAS PRESSURES; LABORATORY EXPERIMENTS; NEAR-SURFACE; NUMERICAL RESULTS; NUMERICAL SIMULATION; RING ELEMENTS; STRESS CRITERION; SUBSURFACE CRACKS; TRIANGULAR ELEMENTS; UNIFORM PRESSURE;

CRACKS; ROCK MECHANICS; ROCKS; SURFACE DEFECTS; TENSILE STRENGTH; TENSILE STRESS;

FRACTURE;

EID: 78751558034     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. Sher, E.N., and A.M. Mikhailov. Modeling the axially symmetric crack growth under blasting and hydrofracturing near free surface. Journal of Mining Science, 44(5), 2008.
2. Piccinin, R., R. Ballarini, and S. Cattaneo. Linear elastic fracture mechanics pull out analyses of headed anchors in stressed concrete. Journal of Engineering Mechanics, In Press, DOI:10.1061/(ASCE)EM.1943-7889.0000120.
3. Bunger, A.P., R.G. Jeffrey, and E. Detournay. Toughness-dominated near-surface hydraulic fracture experiments. In D.P. Yale, S.M. Willson, and A.S. Abou-Sayed, editors, GulfRock04 Conference, Houston, June 2004. ARMA.
4. Bunger, A.P. Near-Surface Hydraulic Fracture. PhD thesis, University of Minnesota, July 2005.
5. Jeffrey, R.J., A. Settari, K.W. Mills, X. Zhang, and E. Detournay. Hydraulic fracturing to induce caving: fracture model development and comparison to field data. In D. Elsworth, J.P. Tinucci, and K.A. Heasley, editors, Rock Mechanics in the National Interest - 38th US Rock Mechanics Symposium, volume 1 and 2, July 2001.
6. Murdoch, L.C., and W.W. Slack. Forms of hydraulic fractures in shallow fine-grained formations. J. Geotech. Geoenviron., 128(6):479-487, 2002.
7. Malthe-Sorenssen, A., S. Planke, H. Svensen, and B. Jamtveit. Formation of saucer-shaped sills. In N. Petford and C. Breitkreuz, editors, Physical Geology of High-Level Magmatic Systems, pages 215-227, London, 2004. Geological Society.
8. Rabczuk, T., S. Bordas, and G. Zi. On threedimensional modelling of crack growth using partition of unity methods. Computers & Structures, In Press, DOI: 10.1016/j.compstruc.2008.08.010.
9. Zhang, X., E. Detournay, and R.G. Jeffrey. 2002. Propagation of a penny-shaped hydraulic fracture parallel to the free-surface of an elastic half-space. Int. J. Fracture 115:125-158.
10. Crouch, S.L., and A.M. Starfield. Boundary Element Methods in Solid Mechanics. George Allen and Unwin, London, 1983.
11. Hills, D.A., P.A. Kelly, D.N. Dai, and A.M. Korsunsky. Solution of Crack Problems. The Distributed Dislocation Technique, volume 44 of Solid Mechanics and its Applications. Kluwer Academic Publ., Dordrecht, 1996.
12. Ryder, J.A., and J.A.L. Napier. Error analysis and design of a large-scale tabular mining stress analyzer. In Proceedings of the 5th International Conference on Numerical Methods in Geomechanics, Nagoya, pages 1549-1555, 1985.
13. Gordeliy, E., and E. Detournay. A fixed grid algorithm for simulating the propagation of a shallow hydraulic fracture with a fluid lag. Int. J. Numer. Anal. Methods Geomech., doi: 10.1002/nag.913, 2010
14. Erdogan, F., and G.C. Sih. On the crack extension in plates under plate loading and transverse shear. J. Basic Eng., 85:519-527, 1963.
15. Mogilevskaya, S.G. Numerical modeling of 2-D smooth crack growth. Int. J. Fracture, 87:389-405, 1997.
16. Napier, J.A.L., and D.F. Malan. The computational analysis of shallow depth tabular mining problems. J. S. Afr. Inst. Min. Metall., 107:725-742, 2007.
17. Paynter, R.J.H., D.A. Hills, and A.Sackfield. The penny crack beneath the surface of a half-space: with application to the blister test. Int. J. Fracture, 142:173-182, 2006.
18. Demir, I., J.P. Hirth, and H.M. Zbib. The extended stress field around a cylindrical crack using the theory of dislocation pile-ups. International Journal of Engineering Science, 30:829-845, 1992.
19. Kasano, H., H. Matsumoto, and I. Nakahara. A torsion-free axisymmetric problem of a cylindrical crack in a transversely isotopic body. Bull. Jpn. Soc. Mech. Eng., 27:1323-1332, 1984.