Abstract
This paper studies the effect of fluid injection rate on hydraulic fracturing in pre-existing discrete fracture network (DFN) formations. A flow–stress–damage coupling approach has been used in an initial attempt toward how reservoir responses to injection rate under different DFN connected configuration states. The simulation results show that injection rate has an significant influence on the hydraulic fractures (HF) and DFN interaction and hydraulic fracturing effectiveness, which can be characterized by the total interaction area, stimulated DFN length, stimulated HF length and leak-off ratio. For the sparse DFN model, stimulated HF length increases with increasing injection rate and the stimulated DFN length decreases with the increasing injection rate. For the medium DFN model, stimulated HF and DFN length both increase with increasing of injection rate. For the dense DFN model, length of stimulated HF deceases with increasing injection rate; however, the stimulated DFN length increases with the increasing injection rate. The effect of injection rate on hydraulic fracturing is closely related to formation characteristics, which are strongly affected by the DFN connected configuration. For the studied fracture network, the sparse DFN model gets the optimal hydraulic fracturing effectiveness with lower injection rate; however, the dense DFN model has the best hydraulic fracturing effectiveness with higher injection rate. This work strongly links the production technology and hydraulic fracturing effectiveness evaluation and aids in the understanding and optimization of hydraulic fracturing simulations in naturally fractured reservoirs.
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Beugelsdijk LJL, de Pater CJ, Sato K (2000) Experimental hydraulic fracture propagation in a multi-fractured medium. SPE 59419, presented at the SPE Asia Pacific conference in integrated modeling for asset management, Yokohama, Japan, 25–26 April
Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12:155–164
Broacha E (2010) Conversation, Bill Barrett Corp., November 2009 and January
Cipolla CL, Lolon EP, Erdie JC, Tathed V (2009a) Modeling well performance in shale-gas reservoirs. Presented at the SPE/EAGE reservoir characterization and simulation conference held in Abu Dhabi, UAE, 19–21 October
Cipolla CL, Lolon EP, Mayerhofer MJ (2009b) Reservoir modeling and production evaluation in shale-gas reservoirs. Presented at the international petroleum technology conference held in Doha, Qatar, 7–9 December
Cramer DD (2008) Stimulating unconventional reservoirs: lessons learned, successful practices, areas for improvement. Paper SPE 114172, 2008 SPE unconventional reservoirs conference, Keystone, CO, USA, 10–12 Febraury
Dershowitz WS, Cottrell MG, Lim DH (2010) A discrete fracture network approach for evaluation of hydraulic fracturing stimulation of naturally fractured reservoirs, in 44th US rock mechanics symposium and 5th U.S.-Canada rock mechanics symposium, Salt Lake City
Dobkins TA (2006) Conversation about frac rates
Economides MJ, Peter Valk, Leoben MU (1993) Applications of a continuum damage mechanics model to hydraulic fracturing. SPE: 25887
Engelder T, Lash GG (2008) Marcellus Shale play’s vast resource potential creating stir in appalachia. The American Oil and Gas Reporter, May
Fisher MK, Davidson BM, Goodwin AK, Fielder EO, Buckler WS, Steinsberger NP (2002) Integrating fracture mapping technologies to optimize stimulations in the Barnett Shale,” paper SPE 77441, presented at the 2002 SPE annual technical conference and exhibition, San Antonio, TX, September 29–3 October
Gale JFW, Holder J (2008) Natural fractures in the Barnett shale: constraints on spatial organization and tensile strength with implications for hydraulic fracture treatment in Shale-gas reservoirs: the 42nd US rock mechanics symposium (USRMS), San Francisco, CA, June 29–July 2
Gale JFW, Reed RM, Holder J (2007) Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments. AAPG Bull 91(4):603–622
Gil I, Nagel N, Sanchez-Nagel M (2011) The effect of operational parameters on hydraulic fracture propagation in naturally fractured reservoirs—getting control of the fracture optimization process. Presented at 45th US Rock mechanics/geomechanics symposium, San Francisco, CA, 26–29 June
Gui F, Rahman K, Moos D, Vassilellis G, Li C, Liu Q, Zhang FX, Peng JX, Yuan XF, Zou GZ (2013) Optimizing hydraulic fracturing treatment integrating geomechanical analysis and reservoir simulation for a fractured tight gas reservoir, Tarim Basin, China. In: Bunger AP, McLennan J, Jeffrey R (eds) Effective and sustainable hydraulic fracturing, edited by, ISBN 978-953-51-1137-5
Jeffrey RG, Zhang X, Bunger AP (2010) Hydraulic fracturing of naturally fractured reservoirs. In: Proceedings of the 35th workshop on geothermal reservoir engineering, Stanford, California, USA, 1–3 February
King GE (2010) Thirty years of gas shale fracturing: what have we learned? Paper SPE 133456 presented at the SPE annual technical conference and exhibition, Florence, Italy, 19–22 September
King GE, Haile L, Shuss J, Dobkins TA (2008) Increasing fracture path complexity and controlling downward fracture growth in the Barnett Shale. Paper 119896, presented at the 2008 SPE Shale gas production conference, Fort Worth, TX, 16–18 November
Kresse O, Cohen C, Weng X, Wu R, Gu H (2011) Numerical modeling of hydraulic fracturing in naturally fractured formations. 45th US rock mechanics/geomechanics symposium, San Francisco, CA, 26–29 June
Miskimins JL (2009) Design and life-cycle considerations for unconventional-reservoir wells. SPE Prod Oper 24(2):353–359
Nagel N, Gil I, Sanchez-Nagel M, Damjanac B (2011) Simulating hydraulic fracturing in real fractured rock -overcoming the limits of pseudo 3D models. SPE 140480, presented at the SPE HFTC in Woodlands, Texas, USA, 24–26 January
Nagel NB, Sanchez-Nagel MA, Zhang F, Garica BL (2013) Coupled numerical evaluations of the geomechanical interactions between a hydraulic fracture stimulation and a natural fracture system in Shale formations. Rock Mech Rock Eng 46(3):581–609
Nearing TR, Startzman RA (1988) Shale well productivity, paper SPE 18553, presented at the 1988 SPE eastern regional meeting, Charleston, WV, 1–4 November
Noghabai K (1999) Discrete versus smeared versus element-embedded crack models on ring problem. J Eng Mech 125(3):307–315
Olson JE (2003) Sublinear scaling of fracture aperture versus length: an exception to the rule? J Geophys Res 108:1–11
Olson JE (2004) Predicting fracture swarms—the influence of subcritical crack growth and the crack-tip process zone on joint spacing in rock. Geol Soc 231:73–88
Olson JE (2008–2010) Spatial organization of natural fractures: a geomechanics approach, http://www.pe.utexas.edu/~jolson/utigtalk_files/v3_document.htm and “Natural Fracture Pattern Development,” http://www.pe.utexas.edu/~jolson/nat.frac.html
Overbey WK, Yost II AB, Wilkins DA (1988) Inducing multiple hydraulic fractures from a horizontal wellbore. Paper SPE 18249, 1988 SPE annual technical conference and exhibition, Houston, TX, USA 2–5 October
Rogers SF, Elmo D, Dershowitz WS (2011) Understanding hydraulic fracturing geometry and interactions in pre-conditioning through DFN numerical modeling, in 45th US Rock mechanics/geomechanics symposium, San Francisco, CA
Tang CA, Tham LG, Lee PKK, Yang TH, Li LC (2002) Coupled analysis of flow, stress and damage (FSD) in rock failure. Int J Rock Mech Min Sci 39(4):477–489
Thallak S, Rothenbury L, Dusseault M (1991) Simulation of multiple hydraulic fractures in a discrete element system. In: Roegiers JC (ed) Rock mechanics as a multidisciplinary science, proceedings of the 32nd US symposium. Balkema, Rotterdam, pp 271–280
Wang SY, Sun L, Au ASK, Yang TH, Tang CA (2009) 2D-numerical analysis of hydraulic fracturing in heterogeneous geo-materials. Constr Build Mater 23:2196–2206
Wang SY, Sloan SW, Liu HY, Tang CA (2011) Numerical simulation of the rock fragmentation process induced by two drill bits subjected to static and dynamic (impact) loading. Rock Mech Rock Eng 44:317–336
Warpinski NR, Tuefel LW (1987) Influences of geologic discontinuities on hydraulic fracture propagation, SPE J.P.T., February, pp 209–220
Warpinski NR, Mayerhofer MJ, Vincent MC, Cipolla CL, Lolon EP (2008a) Stimulating unconventional reservoirs: maximizing network growth while optimizing fracture conductivity. J Can Pet Technol 48(10):39–51
Warpinski NR, Mayerhofer MJ, Vincent MC, Cipolla CL, Lolon EP (2008b) Stimulating unconventional reservoirs: maximizing network growth while optimizing fracture conductivity. J Can Petrol Technol 48(10):39–51
Warpinski NR, Waltman CK, Du J, Ma Q (2009) Anisotropy effects in microseismic monitoring, paper SPE 124208. Presented at the 2009 SPE annual meeting and exhibition, New Orleans, LA, USA, 4–7 October
Yang TH, Tang CA, Zhu WC, Feng QY (2001) Coupling analysis of seepage and stress in rock failure process. Chin J Rock Soil Eng 23(4):489–493 (in Chinese)
Yost II A, Overby JR (1989) Production and stimulation analysis of multiple hydraulic fracturing of a 2000-ft horizontal well,” paper SPE 19090, presented at SPE gas technology symposium, Dallas, TX, 7–9 June
Yost AB, Overbey JWK, Wilkins DA, Locke CD (1988) Hydraulic fracturing of a horizontal well in a naturally fractured reservoir, gas study for multiple fracture design, paper SPE 17759, presented at the 1988 SPE gas technology symposium, Dallas, TX, USA, 13–15 June 1988
Acknowledgments
The authors gratefully acknowledge the editors and the anonymous reviewers for their helpful and constructive comments. This work was supported by the National Natural Science Foundation of China (Grants Nos. 41227901, 41330643, 41502294) and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grants Nos. XDB10030000, XDB10030300, and XDB10050400).
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Wang, Y., Li, X. & Tang, C.A. Effect of injection rate on hydraulic fracturing in naturally fractured shale formations: a numerical study. Environ Earth Sci 75, 935 (2016). https://doi.org/10.1007/s12665-016-5308-z
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DOI: https://doi.org/10.1007/s12665-016-5308-z