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Influence of existing natural fractures and beddings on the formation of fracture network during hydraulic fracturing based on the extended finite element method

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Abstract

Numerical simulation of fracture propagation during hydraulic fracturing is performed based on the extended finite element method. The influences of existing natural fractures and beddings on the formation of fracture network are focused. It is shown that the hydraulic fracture network in the case of random distribution for natural fracture is more conducive to form than that in the case of the regular distribution, which indicates that the random arrangement of existing natural fractures is helpful for forming highly communicated and complicated fracture network. However, the randomly distributed natural fractures often cause fracture reorientation and a sudden drop of the fracture aperture of the new branch, which leads to an increasing proportion of ineffective fractures in the formed fracture networks due to that fracture apertures in the new branches may be too narrow to send the proppant inside. For the existing beddings in the stratified rock, the bedding feature and distribution have the important influences upon the hydraulic fracture propagation. Numerical results show that the hydraulic fracture would be more easily to swerve again and form complex network under the condition of the smaller distance and larger bond strength between beddings.

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References

  • Barenblatt GI, Zheltov IP (1960) Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks. J Appl Math Mech 24:1286–1303

    Article  Google Scholar 

  • Basirat R, Goshtashbi K, Ahmadi M (2019) Geomechanical key parameters of the process of hydraulic fracturing propagation in fractured medium. Oil Gas Sci Technol Rev IFP Energies nouvelles 74:58

    Article  Google Scholar 

  • Biot MA (1955) Theory of elasticity and consolidation for a porous anisotropic solid. J Appl Phys 26:182–185

    Article  MathSciNet  Google Scholar 

  • Botros FE, Hassan AE (2008) On mapping fracture networks onto continuum. Water Water Resour Res 44:w084375. https://doi.org/10.1029/2007wr006092

    Article  Google Scholar 

  • Budyn E, Zi G (2004) A method for multiple crack growth in brittle materials without remeshing. Int J Numer Methods Eng 61:1741–1770

    Article  Google Scholar 

  • Chen Z (2013) An ABAQUS implementation of the XFEM for hydraulic fracture problems. In: ISRM international conference for effective and sustainable hydraulic fracturing. International Society for Rock Mechanics. http://dx.doi.org/10.5772/56287

  • Chen JB, Wei B (2016) Simulation of multi-hydrofracture horizontal wells in shale based on the extended finite element method. Appl Math Mech 37:73–83

    Google Scholar 

  • Chen Z, Xue C, Jiang T (2010) Proposals for the application of fracturing by stimulated reservoir volume (SRV) in shale gas wells in China. Nat Gas Ind 30:30–32

    Google Scholar 

  • Dac TN, Frederic LP, Dominique B (2019) Modeling of fault slip during hydraulic stimulation in a naturally fractured medium. Geomech Geophys Geo-energ Geo-resour 5:237–251

    Article  Google Scholar 

  • Dahi-Taleghani A, Olson JE (2011) Numerical modeling of multistranded-hydraulic-fracture propagation:accounting for the interaction between induced and natural fractures. SPE J 16:575–581

    Article  Google Scholar 

  • Detournay E (2004) Propagation regimes of fluid-driven fractures in impermeable rocks. Int J Geomech 4:35–45

    Article  Google Scholar 

  • Dolbow J, Moës N (2000) Modeling fracture in Mindlin-Reissner plate with the extended finite method. Int J Solids Struct 37:7161–7183

    Article  Google Scholar 

  • Faivre M, Paul B, Golfier F, Giot R, Massin P, Colombo D (2016) 2D coupled HM-XFEM modeling with cohesive zone model and applications to fluid-driven fracture network. Eng Fract Mech 159:115–143

    Article  Google Scholar 

  • Fries TP, Belytschko T (2010) The extended/generalized finite element method: an overview of the method and its applications. Int J Numer Methods Eng 84:253–304

    Article  MathSciNet  Google Scholar 

  • Gale JFW, Reed RM, Holder J (2007) Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments. AAPG Bull 91:603–622

    Article  Google Scholar 

  • Gan Q, Derek E (2016) A continuum model for coupled stress and fluid flow in discrete fracture networks. Geomech Geophys Geo-energ Geo-resour 2:43–61

    Article  Google Scholar 

  • Geertsma J, Klerk F (1969) A rapid method of predicting width and extent of hydraulically induced fractures. J Pet Technol 21:1571–1581

    Article  Google Scholar 

  • Huang R, Sukumar N (2003) Modeling quasi-static crack growth with the extended finite element method part ii: numerical applications. Int J Solids Struct 40:7539–7552

    Article  Google Scholar 

  • Keshavarzi R, Mohammadi S (2012) A new approach for numerical modeling of hydraulic fracture propagation in naturally fractured reservoirs. Presented at the SPE/EAGE Unconventional Resources Conference and Exhibition

  • Kfoury M, Ababou R, Noetinger B, Quintard M (2006) Upscaling fractured heterogeneous media: permeability and mass exchange coefficient. J Appl Mech 73:41–46

    Article  Google Scholar 

  • Khristianovic SA, Zheltov YP (1955) Formation of vertical fractures by means of highly viscous liquid. In: Proceedings of the Fourth World Petroleum Congress, Rome, pp 579–586

  • Lamb AR (2011) Coupled deformation, fluid flow and fracture propagation in porous media. Ph.D. Thesis, Department of Earth Science and Engineering, Imperial College, UK

  • Landereau P, Noetinger B, Quintard M (2001) Quasi-steady two-equation models for diffusive transport in fractured porous media: large-scale properties for densely fractured systems. Adv Water Resour 24(8):863–876

    Article  Google Scholar 

  • Lee SH, Milliken WJ (1993) The productivity index of an inclined well in finite difference reservoir simulation. SPE 25247, SPE Reservoir Simulation Symposium, New Orleans, LA, February 28–March 3

  • Li L, Lee SH (2008) Efficient field-scale simulation of black oil in a naturally fractured reservoir through discrete fracture networks and homogenized media. SPE Reservoir Eval Eng 11:750–758

    Article  Google Scholar 

  • Li FX, Yang YM, Fan X, Xu B, Ju Y, Wang YL, Li Y, Chen JL (2018) Numerical analysis of the hydrofracturing behaviours and mechanisms of heterogeneous reservoir rock using the continuum-based discrete element method considering pre-existing fractures. Geomech Geophys Geo-energ Geo-resour 4:383–401

    Article  Google Scholar 

  • Liu F, Luo ZF (2017) Deformation behavior between hydraulic and natural fracture using fully coupled hydromechanical model with XFEM. Math Probl Eng, Article ID 6373957. https://doi.org/10.1155/2017/6373957

  • Moës N, Dolbow J (1999) A finite element method for crack growth without remeshing. Int J Numer Methods Eng 46:131–150

    Article  MathSciNet  Google Scholar 

  • Moinfar A, Varavei A, Sepehrnoori K, Johns RT (2014) Development of an efficient embedded discrete fracture model for 3D compositional reservoir simulation in fractured reservoirs. SPE J 19:289–303. https://doi.org/10.2118/154246-PA

    Article  Google Scholar 

  • Nistor I, Guiton MLE, Massin P, Moës N, Géniaut S (2009) An X-FEM approach for large sliding contact along discontinuities. Int J Numer Methods Eng 78(12):1407–1435

    Article  Google Scholar 

  • Paluszny A, Zimmerman RW (2017) Modelling of primary fragmentation in block caving mines using a finite-element based fracture mechanics approach. Geomech Geophys Geo-energ Geo-resour 3:121–130

    Article  Google Scholar 

  • Paul B, Faivre M, Massin P, Giot R, Colombo D, Golfier F, Martin A (2018) 3D coupled HM-XFEM modeling with cohesive zone model and applications to non planar hydraulic fracture propagation and multiple hydraulic fractures interference. Comput Methods Appl Mech Eng 342:321–353

    Article  MathSciNet  Google Scholar 

  • Peaceman DW (1978) Interpretation of well-block pressures in numerical reservoir simulation. SPE J 18:183–194

    Google Scholar 

  • Peaceman DW (1983) Interpretation of well-block pressures in numerical reservoir simulation with non-square grid blocks and anisotropic permeability. SPE J 23:531–543

    Google Scholar 

  • Potts DM, Zdravkovic L (1999) Finite element analysis in geotechnical engineering: Theory. Distributed by ASCE Press, London

    Book  Google Scholar 

  • Rachel FW, Samuel MT, Peter S, Nigel JC (2017) Horizontal respect distance for hydraulic fracturing in the vicinity of existing faults in deep geological reservoirs: a review and modelling study. Geomech Geophys Geo-energ Geo-resour 3:379–391

    Article  Google Scholar 

  • Sepehri J, Soliman MY, Morse SM (2015) Application of extended finite element method to simulate hydraulic fracture propagation from oriented perforations. Society of Petroleum Engineers, New Orleans. https://doi.org/10.2118/173342-MS

    Book  Google Scholar 

  • Shou KJ, Crouch SL (1995) A higher order displacement discontinuity method for analysis of crack problems. Int J Rock Mech Min Sci 32:49–55

    Article  Google Scholar 

  • Siavelis M, Guiton MLE, Massin P, Moës N (2013) Large sliding contact along branched discontinuities with X-FEM. Comput Mech 52(1):201–219

    Article  MathSciNet  Google Scholar 

  • Stolarska M, Chopp DL (2001) Modelling crack growth by level sets in the extended finite element method. Int J Numer Methods Eng 51:943–960

    Article  Google Scholar 

  • Thibaut M, Jardin A, Faille I, Willien F, Guichet X (2014) Advanced workflows for fluid transfer in faulted basins. Oil Gas Sci Technol Rev IFP Energies Nouvelles 69(4):573–584

    Article  Google Scholar 

  • Wen GJ, Liu HJ, Huang HB, Wang YD, Shi XY (2018) Meshless method simulation and experimental investigation of crack propagation of CBM hydraulic fracturing. Oil Gas Sci Technol Rev IFP Energies Nouvelles 73:72

    Article  Google Scholar 

  • Wu Q, Xu Y, Wang X (2012) Volume fracturing technology of unconventional reservoirs: connotation, optimization design and implementation. Pet Explor Dev 39:352–358

    Google Scholar 

  • Xu D, Liu Z, Zhuang Z (2017) Study on interaction between induced and natural fractures by extended finite element method. Sci China Phys Mech Astron 60:2–14

    Google Scholar 

  • Yang YM, Ju Y, Sun YH, Zhang DX (2015) Numerical study of the stress field during crack growth in porous rocks. Geomech Geophys Geo-energ Geo-resour 1:91–101

    Article  Google Scholar 

  • Zhang BH, Ji BX, Liu WF (2018) The study on mechanics of hydraulic fracture propagation direction in shale and numerical simulation. Geomech Geophys Geo-energ Geo-resour 4:119–127

    Article  Google Scholar 

  • Zienkiewicz OC, Taylor RL (2005) The finite element method for solid and structural mechanics. Elsevier, Amsterdam

    MATH  Google Scholar 

Download references

Acknowledgements

This work is supported by supported by the National Science and Technology Major Project of China (No. 2016ZX05011-002).

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Authors and Affiliations

  1. Shengli Oilfield Branch Company, SINOPEC, Dongying City, 257015, Shandong Province, China

    Zhen-Quan Li

  2. Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei, 230027, Anhui, China

    Xue-Li Li, Zhi-Feng Liu, Min Wang, Zhi-Fan Liu & Xiao-Hong Wang

  3. Exploration and Development Research Institute, Shengli Oilfield Branch Company, SINOPEC, Dongying City, 257015, Shandong Province, China

    Jin-Biao Yu & Wei-Dong Cao

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  1. Zhen-Quan Li
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  2. Xue-Li Li
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Li, ZQ., Li, XL., Yu, JB. et al. Influence of existing natural fractures and beddings on the formation of fracture network during hydraulic fracturing based on the extended finite element method. Geomech. Geophys. Geo-energ. Geo-resour. 6, 58 (2020). https://doi.org/10.1007/s40948-020-00180-y

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