Modeling simultaneous growth of multi-branch hydraulic fractures

45th US Rock Mechanics / Geomechanics Symposium

Volumn , Issue , 2011, Pages

  Dahi Taleghani, A ^a  

^a Department of Petroleum Engineering ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

A-STABILITY; EXTENDED FINITE ELEMENT METHOD; FRACTURE PATTERN; FRACTURE PROPAGATION; FRACTURE ZONE; FRACTURING TREATMENTS; HORIZONTAL WELLBORES; HYDRAULIC FRACTURE; HYDRAULIC FRACTURE DESIGN; MULTI-STAGE; NOVEL TECHNIQUES; SIMULTANEOUS GROWTH; STABILITY ANALYSIS;

CRACK PROPAGATION; FINITE ELEMENT METHOD; HORIZONTAL WELLS; HYDRAULIC FRACTURING; NUMERICAL METHODS; ROCK MECHANICS;

FRACTURE;

EID: 82555182659     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (31)

1. Gale, JFW, R.M. Reed, and J. Holder. "Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments." AAPG Bulletin, 2007: v. 91; no. 4; p. 603-622.
2. Mahrer, K.D., 1999, A review and perspective on far-field hydraulic fracture geometry, Journal of Petroleum Science and Engineering, vol. 24, pp. 13-28.
3. Medlin, W. L., and J. L. Fitch., 1988, Abnormal Treating Pressures in Massive Hydraulic Fracturing Treatments, Journal of Petroleum Technology, Volume 40, No. 5, pp. 633-642.
4. Palmer, Ian D., and Ralph W. Veatch Jr. "Abnormally High Fracturing Pressures in Step-Rate Tests." SPE Production Engineering, 1990: Volume 5, number 3, pp. 315-323.
5. Nemat-Nasser, S., L. M. Keer, Y. Sumi, and K.S. Parihar, 1978, Unstable Growth of Thermally, Induced Interacting Cracks in Brittle Solids, Int. J. Solids Struct., Vol. 14, pp 409-430.
6. Keer, L. M., S. Nemat-Nasser, and A. Oranratnachai, 1979, Unstable Growth of Thermally Induced Interacting Cracks in Brittle Solids: Further Results, Int. J. Solids Struct., Vol. 15, pp 111-126.
7. Sumi, Y., S. Nemat-Nasser, and L. M. Keer. "On Stability and Postcritical Behavior of Interactive Tension Cracks in Brittle Solids." Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 1980: Volume 31, Number 6, pp 673-690.
8. Jin, Z.H. and S. E. Johnson, 2008, Magma-driven multiple dike propagation and fracture toughness of crustal rocks, Journal of Geophysical Research, VOL. 113, B03206.
9. Lam, K. Y., and M. P. Cleary, 1984, Slippage and reinitiation of (hydraulic) fractures at frictional interfaces, International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 8, issue 6, pp 589-604.
10. Germanovich, Leonid N., Dmitriy K. Astakhov, Michael J. Mayerhofer, Jacob Shlyapobersky, and Lev M. Ring, 1997, Hydraulic fracture with multiple segments I. Observations and model formulation, International Journal of Rock Mechanics and Mining Sciences, Vol. 34, No. 3-4.
11. Zhang, X., R.G. Jeffrey, E. Llanos, and B. Lecampion, 2005, Plane-strain analysis of post-coalescence interaction between fluid-driven cracks and pre-existing fractures, presented in ARMA American Rock Mechanics Association 2005.
12. Olson, J., Dahi Taleghani, A., "Modeling simultaneous growth of multiple hydraulic fractures and their interaction with natural fractures," 2009 SPE 119739, Hydraulic Fracturing Technology Conference.
13. Griffith, A.A., 1921, The phenomena of rupture and flow in solids, Phil. Trans. R. Soc. A, vol. 221, pages 163-198.
14. Moës, N., Dolbow, J. and T. Belytschko, 1999, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, Volume 46, Pages 131-150.
15. Lecampion, B., and Detournay, E., 2007, An implicit algorithm for the propagation of a hydraulic fracture with a fluid lag, Computer Methods in Applied Mechanics and Engineering, v. 196, p. 4863-4880.
16. Olson, J.E. "Joint pattern development: effect of subcritical crack growth and mechanical crack interaction." Journal of geophysical research, 1993: 98, pages: 12251-12265.
17. And also Dahi Taleghani, A., and J. Olson. "Analysis of multi-stranded hydraulic fracture Propagation: an improved model for the interaction between induced and natural fractures." SPE hydraulic fracturing conference. Woodland, TX, 2009. SPE 124884.
18. Batchelor, G.K. An introduction to fluid dynamics. Cambridge University Press, Cambridge, UK, 1967.
19. Dahi-Taleghani, A. "Fracture Re-Initiation as a Possible Branching Mechanism during Hydraulic fracturing." Proceedings of ARMA annual symposium, Salt. 2010.
20. Erdogan, F. and Sih, G.C., 1963, On the crack extension in plates under loading and transverse shear, Journal of Basic Engineering 85, 519-527.
21. Zhang, X, R. G. Jeffrey, and M. Thiercelin, 2007, Deflection and propagation of fluid-driven fractures at frictional bedding interfaces: A numerical investigation, Journal of Structural Geology 29, pp 396-410
22. Bazant, Z., L. Cedolin, 1991, Stability of structures, The Oxford engineering science series, Oxford University Press Inc, New York.
23. Bocca, P., A. Carpinteri and S. Valente, 1991, Mixed-mode fracture of concrete, International Journal of Solids and Structures 27: 1139-1153.
24. Budyn, E., G. Zi, N. Moës and T. Belytschko, A Method for Multiple Crack Growth in Brittle Materials without Remeshing, International Journal for Numerical Methods in Engineering, vol. 61(10), pp. 1741-1770, 2004.
25. Bouchard, P.O., Bay F, Chastel Y, Tovena I., 2000, Crack propagation modelling using an advanced remeshing technique, Computer Methods in Applied Mechanics and Engineering, 189, pages 723-742.
26. Carter, B.J., Wawrzynek, P.A., Ingraffea, A.R., 2000, Automated 3-d crack growth simulation, International Journal for Numerical Methods in Engineering, Volume 47 Issue 1-3, Pages 229 - 253.
27. Patzák, B, M. Jirásek, 2004, Adaptive resolution of localized damage in quasi-brittle materials. Journal of Engineering Mechanics; 130:720-732.
28. Fleming, M., Chu, Y.A., Moran, B., Belytschko, T., 1997, Enriched element-free Galerkin methods for crack tip fields, International journal for numerical methods in engineering 40:88, 1483-1504
29. Budyn, E., G. Zi, N. Moës, T. Belytschko, 2004, A method for multiple crack growth in brittle materials without remeshing, International Journal for Numerical Methods in Engineering, Vol. 61, pages 1741-1770.
30. Babuška, I. and A. Miller, 1984, The post-processing approach in the finite element method. III - A posteriori error estimates and adaptive mesh selection, International Journal for Numerical Methods in Engineering, Vol. 20, page 2311.
31. Dahi Taleghani, A., 2009, Analysis of Hydraulic Fracture Propagation in Fractured Reservoirs: an improved model for the interaction between induced and natural fractures, PhD dissertation, The university of Texas at Austin.