Abstract
This paper presents state-of-the-art modeling of complex hydraulic fracture network evolution in a naturally fractured formation with pre-existing bedding and cross joints, in the Silurian Longmaxi formation, southeast of Sichuan Basin, China. A flow-stress-damage coupling approach has been used in an initial attempt toward how reservoir responds to perforation angle, injection rate, in situ stress, cohesive and frictional strength of natural fractures. A detailed sensitivity study reveals a number of interesting observations resulting from these parameters on the fracturing network evolution in naturally fractured system. When the perforation angle is 60°, it gets to the maximum stimulated reservoir area (SRA). Injection rate as an operator parameter, it strongly impacts the interaction between hydraulic fractures and natural fractures, and associated SRA. In addition, in isotropic in situ stress field, fracturing effectiveness is not the best, complexity of SRA is enhanced when pre-existing fractures are oriented at an angle to the maximum stress. Moreover, the morphology of fracturing network and SRA is closely related to the frictional and cohesive strength of natural fractures. This work strongly links the production technology, geomechanical evaluation and aids in the understanding and optimization of hydraulic fracturing simulations in naturally fractured reservoirs.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig1_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig2_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig3_HTML.jpg)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig4_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig5_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig6_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig7_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig8_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig9_HTML.jpg)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig10_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig11_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig12_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig13_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig14_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig15_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig16_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig17_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig18_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig19_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig20_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12665-016-5696-0/MediaObjects/12665_2016_5696_Fig21_HTML.gif)
Similar content being viewed by others
References
Al-Busaidi A, Hazzard JF, Young RP (2005) Distinct element modeling of hydraulically fractured Lac du Bonnet granite. J Geophys Res Solid Earth 110(B6):1–14
Baecher GB, Lanne NA, Einstein HH (1978) Statistical description of rock properties and sampling. In: Proceedings of the 18th U.S. symposium on rock mechanics vol 5, pp 1–8
Bahorich B, Olson JE, Holder J (2012) Examining the effect of cemented natural fractures on hydraulic fracture propagation in hydrostone block experiments. SPE 160197
Bredehoeft JD, Wolff RG, Keys WS, Shuter E (1976) Hydraulic fracturing to determine the regional in situ stress field, Piceance Basin, Colorado. Geo Soc Am Bull 87(2):250–258
Britt LK, Schoeffler J (2009) The geomechanics of a shale play: what makes a shale prospective! In: SPE 125525, presented at the 2009 SPE Eastern regional Meeting, Charleston, West Virginia; September 23–25
Bruno MS, Nakagawa FM (1991) Pore pressure influence on tensile fracture propagation in sedimentary rock. Int J Rock Mech Mining Sci 28(4):261–273
Cacas MC, Ledoux E, Marsily GD, Barbreau A, Calmels P, Gaillard B (1990) Margritta R (1990) Modeling fracture flow with a stochastic discrete fracture network: calibration and validation: 2 the transport model. Water Resour Res 26(3):491–500. doi:10.1029/WR026i003p00491
Cipolla CL, Lolon EP, Erdie JC (2009a) Modeling well performance in shale-gas reservoirs. Presented at the SPE/EAGE Reservoir Characterization and Simulation Conference held in Abu Dhabi, UAE, October 19–21
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
Clifton RJ, ABOU-sayed AS (1979) On the computation of the three-dimensional geometry of hydraulic fractures. SPE8943
Dezayes C, Genter A, Valley B (2010) Structure of the low permeable naturally fractured geothermal reservoir at Soultz. C R Geosci 342(7–8):517–530. doi:10.1016/j.crte.2009.10.002
EI Rabaa W (1989) Experimental study of hydraulic fracture geometry initiated from horizontal wells. SPE annual technical conference and exhibition, Society of Petroleum Engineers, San Antonio, Texas
EngelderT, Lash GG (2008) Marcellus Shale Play’s vast resource potential creating stir in Appalachia. The American Oil and Gas Reporter, May
Fu P, Johnson SM, Carrigan CR (2013) An explicitly coupled hydro-geomechanical model for simulating hydraulic fracturing in arbitrary discrete fracture networks. Int J Numer Anal Met 37(14):2278–2300
Gale JFW, Holder J (2008) Natural fractures in the Barnett shale: constraint s on spatial organization and tensile strength with implications for hydraulic fracture treatment in shale-gas reservoirs: the 42nd U. S. Rock Mechanics Symposium (USRMS),San Francisco, CA, June 29–July 2
Gale JFW, Stephen EL, Olson JE, Eichhubl P, Fall A (2014) Natural fractures in shale: a review and new observations. AAPG Bull 11(98):2165–2216
Haimson B (1968) Hydraulic fracturing in porous and nonporous rock and its potential for determining in-situ stresses at great depth. Ph.D. Dissertation Minnesota University, Minneapolis, MN, United States
Hallam SD, Last NC (1991) Geometry of hydraulic fractures from modestly deviated wellbore. J Pet Technol 43(6):742–748
Heng S, Guo YT, Yang CH (2015) Experimental and theoretical study of the anisotropic properties of shale. Int J Rock Mech Min Sci 74:58–68 (in Chinese)
House L (1987) Locating microearthquakes induced by hydraulic fracturing in crystalline rock. Geophys Res Lett 14(9):919–921
Jaeger JC, Cook NGW (1969) Fundamentals of rock mechanics, 3rd edn. Wiley, New York
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 (1989) Perforating the horizontal well. J Pet Technol 41(7):671–672
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
Kresse O, Cohen C, Weng X, Gu HG, Wu RT (2011) Numerical modeling of hydraulic fracturing in naturally fractured formations. Paper ARMA 11-363 presented at the 45th US Rock Mechanics Symposium, San Francisco, California, USA, 26–29 June
Li Z, Jia CG, Yang CH (2015) Propagation of hydraulic fissures and bedding planes in hydraulic fracturing of shale. Chin J Rcok Mech Eng 34(1):12–20 (in Chinese)
Li L, Meng Q, Wang S, Li G, Tang CA (2013) A numerical investigation of the hydraulic fracturing behaviour of conglomerate in Glutenite formation. Acta Geotechnica 8(6):597–618
Liu GH, Pang F, Chen ZX (2000) Fracture simulation tests. J China Univ Pet 24(5):23–31 (in Chinese)
Lockner D, Byerlee JD (1977) Hydrofracture in Weber Sandstone at high confining pressure and differential stress. J Geophys Res 82(14):2018–2026. doi:10.1029/JB082i014p02018
Lu C, Guo JC, Liu YX, Yin J, Deng Y, Lu QL, Zhao X (2015) Perforation spacing optimization for multi-stage hydraulic fracturing in Xujiahe formation: a tight sandstone formation in Sichuan Basin of China. Environ Earth Sci 73:5843–5854
Mandal N, Deb SK, Khan D (1994) Evidence for a non-linear relationship between fracture spacing and layer thickness. J Struct Geol 16(9):1275–1281
Mayerhofer MJ, Lolon EP, Warpinski NR, Cipolla CL, Walser D, Rightmire CM (2008) What is stimulated rock volume (SRV)? In: SPE 119890, presented at the 2008 SPE shale gas production conference, Fort Worth, Texas; November 16–18
McCabe WJ, Barry BJ, Manning MR (1983) Radioactive tracers in geothermal underground water flow studies. Geothermics 12(2–3):83–110. doi:10.1016/0375-6505(83)90020-2
McClure M, Horne RN (2013) Discrete fracture network modeling of hydraulic stimulation: Coupling flow and geomechanics. Springer Science & Business Media, 2013
Men XX, Tang CA, Wang SY, Li YP, Yang T, Ma TH (2013) Numerical simulation of hydraulic fracturing in heterogeneous rock: the effect of perforation angles and bedding plane on hydraulic fractures evolutions. ISRM International conference for effective and sustainable hydraulic fracturing. International Society for Rock Mechanics
Meyer BR, Bazan LW (2011) A discrete fracture network model for hydraulically induced fractures –theory, parametric and case studies. Paper SPE 140514 presented at the SPE hydraulic fracturing technology conference and exhibition, The Woodlands, Texas, USA, 24–26 January
Miller C, Waters G, Rylander E (2011) Evaluation of production log data from horizontal wells drilled in organic shales, SPE 144326. Paper presented at the North American unconventional gas conference and exhibition, The Woodlands, Texas, USA. doi:10.2118/144326
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
Nassir M, Settari A, Wan R (2010) Modeling shear dominated hydraulic fracturing as a coupled fluid-solid interaction. Paper SPE 131736 presented at the international oil and gas conference and exhibition, Bei**g, China, 8–10 June
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
Palmer I, Luiskutty CT (1985) A model of the hydraulic fracturing process for elongated vertical fractures and comparisons of results with other models. Paper SPE 13864 presented at the SPE/DOE low permeability gas reservoirs symposium. Denver, Colorado, 19–22 May
Palmer I, Moschovidis Z (2010) New method to diagnose and improve shale gas completions. Paper SPE 134669 presented at the SPE annual technical conference and exhibition, Florence, Italy, 19–22 September
Pearson CM, Bond AJ, Eck ME, Schmldt JH (1992) Results of stress oriented and aligned perforating in fracturing deviated wells. J Pet Technol 44(1):10–18
Perkins TK, Kern LR (1961) Widths of hydraulic fractures. JPT 13:937–949
Rahman MM, Rahman SS (2013) Studies of hydraulic fracture-propagation behavior in presence of natural fractures: fully coupled fractured-reservoir modeling in poroelastic environments. Int J Geomech 13(6):809–826
Rutqvist J, Wu YS, Tsang F, Bodvarsson G (2002) A modeling approach for analysis of coupled multiphase fluid flow, heat transfer, and deformation in fractured porous rock. Int J Rock Mech Min 39(4):429–442
Sagy A, Reches Z (2004) Joint intensity in layered rocks: the unsaturated, saturated, supersaturated, and clustered classes. Institute of Earth Sciences, Hebrew University
Simonson ER, Abou-Sayed AS, Clifton JJ (1978) Containment of massive hydraulic fractures. SPE J 18:27–32
Tang CA, Tham LG, Lee PKK (2002) Coupled analysis of flow, stress and damage (FSD) in rock failure. Int J Rock Mech Min Sci 39:477–489
Terzaghi K (1936) The shearing resistance of saturated soils and the angle between the planes of shear. International conference on soil mechanics and foundation engineering. Harvard University Press, Cambridge, pp 54–56
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
Van de Ketterij RG, De Pater CJ (1999) Impact of perforations on hydraulic fracture tortuosity. SPE Prod Facil 14(2):131–138
Voegele MD, Abou-Sayed AS, Jones AH (1983) Optimization of stimulation design through the use of in-situ stress determination. JPT 35:1071–1081
Wang Y, Li X, Zhou RQ, Tang CA (2015a) Numerical evaluation of the shear stimulation effect in naturally fractured formations. Science China: Earth Sciences, doi: 10.1007/s11430-015-5204-5
Wang Y, Li X, Zhou RQ, Zheng B, Zhang B, Wu YF (2015b) Numerical evaluation of the effect of fracture network connectivity in naturally fractured shale based on FSD model. Science China: Earth Sciences, doi: 10.1007/s11430-015-5164-9
Wang Y, Li X, Zhao ZH, Zhou RQ, Zhang B (2016) Contributions of non-tectonic micro-fractures to hydraulic fracturing: a numerical investigation based on FSD model. Sci China Earth Sci. doi:10.1007/s11430-015-5232-1
Warpinski NR, Fnley SJ, Vollendorf WC (1982) The interface test series: an in situ study of factors affecting the containment of hydraulic fractures. Sandia National Laboratories Report, SAND, pp 2381–2408
Yang TH, Tham LG, Tang CA, Liang ZZ, Tsui Y (2004) Influence of heterogeneity of mechanical properties on hydraulic fracturing in permeable rocks. Rock Mech Rock Eng 37(4):251–275
Zhu HY, Deng JG, Chen ZJ (2013) Perforation optimization of hydraulic fracturing of oil and gas well. Geomech Eng 5(5):463–483
Zhu HY, Deng JG, ** XC (2015) Hydraulic fracture initiation and propagation from wellbore with oriented perforation. Rock Mech Rock Eng 48:585–601
Zoback MD, Rummel F, Jung R (1997) Laboratory hydraulic fracturing experiments in intact and pre-fractured rock. Int J Rock Mech Min Sci Geomech Abst Pergamon 14(2):49–58
Acknowledgments
We thank the editors and the anonymous reviewers for their helpful and constructive suggestions and comments. This work was supported by the National Natural Science Foundation of China (Grants Nos. 41330643, 41227901, 41502294), Bei**g National Science Foundation of China (Grants Nos. 8164070), China Postdoctoral Science Foundation Funded Project (Grants Nos. 2015M571118), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grants Nos. XDB10030000, XDB10030300, and XDB10050400).
Author information
Authors and Affiliations
Corresponding author
Additional information
This article is part of a Topical Collection in Environmental Earth Sciences on “Subsurface Energy Storage”, guest edited by Sebastian Bauer, Andreas Dahmke, and Olaf Kolditz.
Rights and permissions
About this article
Cite this article
Wang, Y., Li, X., Zhang, Y.X. et al. Gas shale hydraulic fracturing: a numerical investigation of the fracturing network evolution in the Silurian Longmaxi formation in the southeast of Sichuan Basin, China, using a coupled FSD approach. Environ Earth Sci 75, 1093 (2016). https://doi.org/10.1007/s12665-016-5696-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12665-016-5696-0