Simulating Hydraulic Fracture Re-orientation in Heterogeneous Rocks with an Improved Discrete Element Method

Understanding the hydraulic fracture (HF) re-orientation mechanism from artificial weaknesses is critical to screen-out prevention in the petroleum industry and caveability management in the mining industry. An improved discrete element method is proposed and incorporated in the Universal Distinct E...

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Published inRock mechanics and rock engineering Vol. 54; no. 6; pp. 2859 - 2879
Main Authors He, Qingyuan, Zhu, Lei, Li, Yingchun, Li, Danqi, Zhang, Boyang
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.06.2021
Springer Nature B.V
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Abstract Understanding the hydraulic fracture (HF) re-orientation mechanism from artificial weaknesses is critical to screen-out prevention in the petroleum industry and caveability management in the mining industry. An improved discrete element method is proposed and incorporated in the Universal Distinct Element Code (UDEC) to simulate hydraulic fracturing in heterogeneous rocks, and its reliability is validated against previous laboratory experiments. The effects of rock heterogeneity and rock strength on HF re-orientation are unveiled to fill the research gaps in the existing knowledge. The results show that the proposed UDEC T-W (Trigon-Weibull distribution) model can well simulate HF propagation in rock samples of different homogeneity degrees and yields more realistic simulation results compared with the classic extended finite element method (XFEM). The HF re-orientation process depends on the combined effect of all the influencing factors. HFs tend to be directed by perforations if hydraulic fracturing is performed in relatively heterogeneous rocks, while the differential stress is more likely to dictate the HF propagation paths if rocks become relatively homogeneous. We also find that higher rock strength weakens the impact of the differential stress and favours the control of perforations over HF propagation. Finally, recommendations are provided for effective utilization of hydraulic fracturing at the mine site.
AbstractList Understanding the hydraulic fracture (HF) re-orientation mechanism from artificial weaknesses is critical to screen-out prevention in the petroleum industry and caveability management in the mining industry. An improved discrete element method is proposed and incorporated in the Universal Distinct Element Code (UDEC) to simulate hydraulic fracturing in heterogeneous rocks, and its reliability is validated against previous laboratory experiments. The effects of rock heterogeneity and rock strength on HF re-orientation are unveiled to fill the research gaps in the existing knowledge. The results show that the proposed UDEC T-W (Trigon-Weibull distribution) model can well simulate HF propagation in rock samples of different homogeneity degrees and yields more realistic simulation results compared with the classic extended finite element method (XFEM). The HF re-orientation process depends on the combined effect of all the influencing factors. HFs tend to be directed by perforations if hydraulic fracturing is performed in relatively heterogeneous rocks, while the differential stress is more likely to dictate the HF propagation paths if rocks become relatively homogeneous. We also find that higher rock strength weakens the impact of the differential stress and favours the control of perforations over HF propagation. Finally, recommendations are provided for effective utilization of hydraulic fracturing at the mine site.
Author Zhu, Lei
Zhang, Boyang
Li, Yingchun
Li, Danqi
He, Qingyuan
Author_xml – sequence: 1
  givenname: Qingyuan
  surname: He
  fullname: He, Qingyuan
  organization: State Key Laboratory of Coal Resources and Safe Mining, School of Mines, China University of Mining and Technology
– sequence: 2
  givenname: Lei
  surname: Zhu
  fullname: Zhu, Lei
  organization: State Key Laboratory of Coal Resources and Safe Mining, School of Mines, China University of Mining and Technology
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  givenname: Yingchun
  orcidid: 0000-0002-0108-3704
  surname: Li
  fullname: Li, Yingchun
  email: yingchun_li@dlut.edu.cn
  organization: State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology
– sequence: 4
  givenname: Danqi
  surname: Li
  fullname: Li, Danqi
  organization: WA School of Mines: Minerals, Energy and Chemical Engineering, Curtin University
– sequence: 5
  givenname: Boyang
  surname: Zhang
  fullname: Zhang, Boyang
  email: zhangboyang@hpu.edu.cn
  organization: School of Civil Engineering, Henan Polytechnic University
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Cites_doi 10.1016/j.jngse.2016.03.050
10.1080/10916466.2010.483435
10.1016/j.ijrmms.2018.01.019
10.1016/j.petrol.2013.04.001
10.2118/90051-MS
10.2118/28555-MS
10.1007/s00603-012-0281-7
10.1007/s00603-016-1075-0
10.1016/j.jngse.2016.07.054
10.1080/12269328.2003.10541205
10.1007/s00603-016-1141-7
10.1016/j.proeng.2017.05.198
10.1016/j.ijrmms.2011.12.001
10.1115/1.4010337
10.2118/686-G
10.1016/j.enggeo.2003.06.004
10.1111/gfl.12097
10.1016/j.compgeo.2016.11.005
10.1134/S106273911405010X
10.1029/WR016i006p01016
10.1016/S1365-1609(02)00023-0
10.1002/9780470510858
10.1016/j.compgeo.2017.11.016
10.1016/j.ijrmms.2019.01.008
10.1016/j.petrol.2014.09.002
10.1016/S1876-3804(09)60113-0
10.1016/j.petrol.2018.02.047
10.1016/j.tust.2018.04.012
10.1201/9781003078975-85
10.1002/nag.884
10.1016/j.cma.2007.06.011
10.2118/38149-MS
10.2118/20661-PA
10.1016/j.petrol.2014.09.034
10.1016/S0920-4105(00)00056-5
10.2118/56193-PA
10.1016/j.compgeo.2016.01.018
10.1016/j.jsg.2006.09.013
10.1016/j.coal.2019.103363
10.1016/0148-9062(94)00037-4
10.1016/j.ijrmms.2014.02.003
10.1007/s00603-015-0846-3
10.2118/4333-PA
10.1007/s00603-003-0022-z
10.1016/j.ijrmms.2004.03.002
10.1016/j.ijrmms.2016.11.021
10.3390/en11071689
10.2118/24823-PA
10.1016/j.ijrmms.2011.04.013
10.1016/j.ijsolstr.2019.06.018
10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
10.1016/j.compgeo.2015.11.018
10.1023/A:1008969726200
10.1139/cgj-2013-0366
10.1007/s12204-010-8062-5
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Keywords Universal Distinct Element Code
Hydraulic fracture re-orientation
Rock heterogeneity
Trigon logic
Weibull distribution
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References Abass, Meadows, Brumley, Hedayati, Venditto (CR2) 1994
He, Suorineni, Ma, Oh (CR25) 2018; 78
Lan, Martin, Hu (CR35) 2010; 115
Deng, Lin, Yang, Liu, Tao, Duan (CR14) 2016; 75
He, Suorineni (CR20) 2015
Zangeneh, Eberhardt, Bustin (CR61) 2012
Chen, Konietzky, Tan, Frühwirt (CR8) 2016; 74
Dunlop, Salmachi, McCabe (CR15) 2020; 220
CR38
Karacan, Yilmaz (CR32) 2000; 18
Moes, Dolbow, Belytschko (CR40) 1999; 46
Wasantha, Konietzky (CR54) 2016; 34
Chen, Jiang, Zhang, Jin (CR6) 2010; 28
CR30
Sepehri (CR45) 2014
He, Suorineni, Oh (CR24) 2017; 50
van de Ketterij, de Pater (CR52) 1999; 14
Chen, Yue, Tham (CR7) 2004; 41
Preisig, Eberhardt, Gischig, Roche, VanDB, Valley, Kaiser, Duff, Lowther (CR42) 2015; 15
Tang, Tham, Lee, Yang, Li (CR49) 2002; 39
Wasantha, Konietzky, Weber (CR56) 2017; 83
Yang, Tham, Tang, Liang, Tsui (CR60) 2004; 37
Hubbert, Willis (CR29) 1957; 210
Deng, Huang, Li (CR13) 2010; 15
Zangeneh, Eberhardt, Bustin (CR63) 2015; 52
CR5
Taghichian, Zaman, Devegowda (CR48) 2014; 124
Zhang, Chen (CR64) 2009; 36
Stavrou, Murphy (CR47) 2018; 102
Kazerani, Zhao (CR33) 2010; 34
Lekontsev, Sazhin (CR37) 2014; 50
Weibull (CR57) 1951; 18
Hossain, Rahman, Rahman (CR27) 2000; 27
Fish, Belytschko (CR17) 2007
Bunger, Jeffrey, Kear, Zhang (CR4) 2011
Jeffrey, Chen, Zhang, Bunger, Mills (CR31) 2015; 48
Labuz, Zang (CR34) 2012; 45
He, Xu, Oh, Zhang (CR26) 2018; 11
Zhao, Wang, Elsworth, He, Zhou, Zhuang, Zeng, Wang (CR67) 2018; 165
Nasehi, Mortazavi (CR41) 2013; 108
Daneshy (CR12) 1973; 25
Liu, Roquete, Kou, Lindqvist (CR39) 2004; 72
Choi (CR10) 2003; 6
Huang, Liu, Zhang, Dontsov, Damjanac (CR28) 2019; 176–177
Wang, Cai (CR53) 2019; 115
CR18
Chen, Konietzky, Liu, Tan (CR9) 2018; 95
CR16
Lecampion, Detournay (CR36) 2007; 196
He, Suorineni, Oh (CR22) 2016; 49
Wasantha, Konietzky (CR55) 2017; 191
CR51
CR50
Renshaw, Pollard (CR43) 1995; 32
Shimizu, SumihikoMurata (CR46) 2011; 48
Zhang, Yin (CR65) 2014; 124
Zangeneh, Eberhardt, Bustin, Bustin, Jeffrey (CR62) 2013
Zhang, Jeffrey, Thiercelin (CR66) 2007; 29
CR21
Choi (CR11) 2012; 50
He, Suorineni, Ma, Oh (CR23) 2017; 91
Roussel, Sharma (CR44) 2011
Gao, Stead (CR19) 2014; 68
Abass, Hedayati, Meadows (CR1) 1996; 11
Behrmann, Elbel (CR3) 1991; 43
Xie, Min, Shen (CR59) 2016; 36
Witherspoon, Wang, Iwai, Gale (CR58) 1980; 16
MK Hubbert (2422_CR29) 1957; 210
Q He (2422_CR23) 2017; 91
SO Choi (2422_CR10) 2003; 6
Q He (2422_CR26) 2018; 11
2422_CR38
H Abass (2422_CR1) 1996; 11
2422_CR5
J Sepehri (2422_CR45) 2014
LA Behrmann (2422_CR3) 1991; 43
2422_CR30
L Huang (2422_CR28) 2019; 176–177
MJ Nasehi (2422_CR41) 2013; 108
S Chen (2422_CR7) 2004; 41
Q He (2422_CR22) 2016; 49
N Zangeneh (2422_CR61) 2012
PLP Wasantha (2422_CR55) 2017; 191
PLP Wasantha (2422_CR56) 2017; 83
M Chen (2422_CR6) 2010; 28
W Weibull (2422_CR57) 1951; 18
EC Dunlop (2422_CR15) 2020; 220
Q He (2422_CR24) 2017; 50
A Stavrou (2422_CR47) 2018; 102
N Moes (2422_CR40) 1999; 46
CE Renshaw (2422_CR43) 1995; 32
T Kazerani (2422_CR33) 2010; 34
X Wang (2422_CR53) 2019; 115
Q He (2422_CR25) 2018; 78
E Karacan (2422_CR32) 2000; 18
2422_CR21
N Zangeneh (2422_CR62) 2013
S Zhang (2422_CR65) 2014; 124
W Chen (2422_CR8) 2016; 74
W Chen (2422_CR9) 2018; 95
X Zhao (2422_CR67) 2018; 165
G Zhang (2422_CR64) 2009; 36
YM Lekontsev (2422_CR37) 2014; 50
PA Witherspoon (2422_CR58) 1980; 16
AP Bunger (2422_CR4) 2011
JQ Deng (2422_CR14) 2016; 75
G Preisig (2422_CR42) 2015; 15
2422_CR18
2422_CR16
SO Choi (2422_CR11) 2012; 50
MM Hossain (2422_CR27) 2000; 27
J Fish (2422_CR17) 2007
B Lecampion (2422_CR36) 2007; 196
L Xie (2422_CR59) 2016; 36
JF Labuz (2422_CR34) 2012; 45
2422_CR51
2422_CR50
FQ Gao (2422_CR19) 2014; 68
RG van de Ketterij (2422_CR52) 1999; 14
J-H Deng (2422_CR13) 2010; 15
Q He (2422_CR20) 2015
HH Abass (2422_CR2) 1994
PLP Wasantha (2422_CR54) 2016; 34
CA Tang (2422_CR49) 2002; 39
H Lan (2422_CR35) 2010; 115
H Shimizu (2422_CR46) 2011; 48
A Taghichian (2422_CR48) 2014; 124
AA Daneshy (2422_CR12) 1973; 25
RG Jeffrey (2422_CR31) 2015; 48
X Zhang (2422_CR66) 2007; 29
NP Roussel (2422_CR44) 2011
TH Yang (2422_CR60) 2004; 37
HY Liu (2422_CR39) 2004; 72
N Zangeneh (2422_CR63) 2015; 52
References_xml – year: 2015
  ident: CR20
  publication-title: Modeling interaction between natural fractures and hydraulic fractures in block cave mining, 49th us rock mechanics/geomechanics symposium
– volume: 220
  issue: 2020
  year: 2020
  ident: CR15
  article-title: Investigation of increasing hydraulic fracture conductivity within producing ultra-deep coal seams using time-lapse rate transient analysis: a long-term pilot experiment in the Cooper Basin, Australia
  publication-title: Int J Coal Geol
– volume: 196
  start-page: 4863
  year: 2007
  end-page: 4880
  ident: CR36
  article-title: An implicit algorithm for the propagation of a hydraulic fracture with a fluid lag
  publication-title: Comput Methods Appl Mech Eng
– volume: 39
  start-page: 477
  year: 2002
  end-page: 489
  ident: CR49
  article-title: Coupled analysis of flow, stress and damage (FSD) in rock failure
  publication-title: Int J Rock Mech Min Sci
– volume: 6
  start-page: 55
  year: 2003
  end-page: 62
  ident: CR10
  article-title: Numerical study on the estimation of the shut-in pressure in hydraulic fracturing test
  publication-title: Geosystem Engineering
– ident: CR16
– volume: 102
  start-page: 131
  year: 2018
  end-page: 143
  ident: CR47
  article-title: Quantifying the effects of scale and heterogeneity on the confined strength of micro-defected rocks
  publication-title: Int J Rock Mech Min Sci
– volume: 108
  start-page: 211
  year: 2013
  end-page: 221
  ident: CR41
  article-title: Effects of in-situ stress regime and intact rock strength parameters on the hydraulic fracturing
  publication-title: J Petrol Sci Eng
– volume: 124
  start-page: 209
  year: 2014
  end-page: 221
  ident: CR48
  article-title: Stress shadow size and aperture of hydraulic fractures in unconventional shales
  publication-title: J Petrol Sci Eng
– ident: CR51
– volume: 91
  start-page: 179
  year: 2017
  end-page: 194
  ident: CR23
  article-title: Effect of discontinuity stress shadows on hydraulic fracture re-orientation
  publication-title: Int J Rock Mech Min Sci
– volume: 72
  start-page: 89
  year: 2004
  end-page: 119
  ident: CR39
  article-title: Characterization of rock heterogeneity and numerical verification
  publication-title: Eng Geol
– volume: 191
  start-page: 410
  year: 2017
  end-page: 418
  ident: CR55
  article-title: Hydraulic fracture propagation under varying in-situ stress conditions of reservoirs
  publication-title: Proced Eng
– volume: 36
  start-page: 103
  year: 2009
  end-page: 107
  ident: CR64
  article-title: Complex fracture shapes in hydraulic fracturing with orientated perforations
  publication-title: Petrol Explorat Develop
– volume: 29
  start-page: 396
  year: 2007
  end-page: 410
  ident: CR66
  article-title: Deflection and propagation of fluid-driven fractures at frictional bedding interfaces: a numerical investigation
  publication-title: J Struct Geol
– year: 2014
  ident: CR45
  publication-title: Application of extended finite element method (XFEM) to simulate hydraulic fracture propagation from oriented perforations
– volume: 15
  start-page: 250
  year: 2010
  end-page: 256
  ident: CR13
  article-title: Experimental research on the mechanical properties of gypsum breccia with different water content
  publication-title: J Shang Jiaot Univ
– year: 2011
  ident: CR4
  publication-title: Experimental Investigation of the Interaction among closely spaced hydraulic fractures, 45th US rock mechanics/geomechanics symposium
– volume: 49
  start-page: 4893
  year: 2016
  end-page: 4910
  ident: CR22
  article-title: Review of hydraulic fracturing for preconditioning in cave mining
  publication-title: Rock Mech Rock Eng
– volume: 176–177
  start-page: 207
  issue: 2019
  year: 2019
  end-page: 220
  ident: CR28
  article-title: Exploring the influence of rock inherent heterogeneity and grain size on hydraulic fracturing using discrete element modeling
  publication-title: Int J Solids Struct
– volume: 11
  start-page: 1689
  issue: 7
  year: 2018
  ident: CR26
  article-title: Application of dimensional analysis to project laboratory scale numerical modelling prescribed hydraulic fracturing results to field scales
  publication-title: Energies
– volume: 74
  start-page: 45
  year: 2016
  end-page: 55
  ident: CR8
  article-title: Pre-failure damage analysis for brittle rocks under triaxial compression
  publication-title: Comput Geotech
– year: 2011
  ident: CR44
  publication-title: Strategies to minimize frac spacing and stimulate natural fractures in horizontal completions, the SPE annual technical conference and exhibition
– ident: CR21
– volume: 52
  start-page: 926
  year: 2015
  end-page: 946
  ident: CR63
  article-title: Investigation of the influence of natural fractures and in situ stress on hydraulic fracture propagation using a distinct-element approach
  publication-title: Can Geotech J
– volume: 95
  start-page: 1
  year: 2018
  end-page: 15
  ident: CR9
  article-title: Hydraulic fracturing simulation for heterogeneous granite by discrete element method
  publication-title: Comput Geotech
– volume: 25
  start-page: 1201
  year: 1973
  end-page: 1206
  ident: CR12
  article-title: Experimental investigation of hydraulic fracturing through perforations
  publication-title: J Petrol Technol
– volume: 115
  start-page: B01202
  year: 2010
  ident: CR35
  article-title: Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading
  publication-title: J Geophys Res
– volume: 11
  start-page: 133
  year: 1996
  end-page: 137
  ident: CR1
  article-title: Nonplanar fracture propagation from a horizontal wellbore: experimental study
  publication-title: SPE Prod Facil
– volume: 34
  start-page: 908
  year: 2016
  end-page: 916
  ident: CR54
  article-title: Fault reactivation and reservoir modification during hydraulic stimulation of naturally-fractured reservoirs
  publication-title: J Nat Gas Sci Eng
– volume: 50
  start-page: 29
  year: 2012
  end-page: 37
  ident: CR11
  article-title: Interpretation of shut-in pressure in hydrofracturing pressure-time records using numerical modeling
  publication-title: Int J Rock Mech Min Sci
– ident: CR50
– volume: 43
  start-page: 608
  year: 1991
  end-page: 615
  ident: CR3
  article-title: Effect of perforations on fracture initiation
  publication-title: J Petrol Technol
– volume: 45
  start-page: 975
  year: 2012
  end-page: 979
  ident: CR34
  article-title: Mohr-Coulomb Failure Criterion
  publication-title: Rock Mech Rock Eng
– ident: CR5
– volume: 32
  start-page: 237
  year: 1995
  end-page: 249
  ident: CR43
  article-title: An experimentally verified criterion for propagation across unbounded interfaces in brittle linear elastic materials
  publication-title: Int J Rock Mech Min Sci
– year: 2012
  ident: CR61
  publication-title: Application of the distinct-element method to investigate the influence of natural fractures and in-situ stresses on hydrofrac propagation, the 46th US rock mechanics/geomechanics symposium
– volume: 48
  start-page: 2497
  year: 2015
  end-page: 2512
  ident: CR31
  article-title: Measurement and analysis of full-scale hydraulic fracture initiation and reorientation
  publication-title: Rock Mech Rock Eng
– volume: 165
  start-page: 616
  year: 2018
  end-page: 626
  ident: CR67
  article-title: Controls of natural fractures on the texture of hydraulic fractures in rock
  publication-title: J Petrol Sci Eng
– ident: CR18
– volume: 83
  start-page: 209
  year: 2017
  end-page: 220
  ident: CR56
  article-title: Geometric nature of hydraulic fracture propagation in naturally-fractured reservoirs
  publication-title: Comput Geotech
– volume: 210
  start-page: 153
  year: 1957
  end-page: 168
  ident: CR29
  article-title: Mechanics of hydraulic fracturing
  publication-title: Transactions Soc Petrol Eng AIME
– year: 2007
  ident: CR17
  publication-title: A first course in finite elements
– ident: CR30
– volume: 18
  start-page: 293
  issue: 3
  year: 1951
  end-page: 297
  ident: CR57
  article-title: A statistical distribution function of wide applicability
  publication-title: J Appl Mech
– volume: 37
  start-page: 251
  year: 2004
  end-page: 275
  ident: CR60
  article-title: Influence of heterogeneity of mechanical properties on hydraulic fracturing in permeable rocks
  publication-title: Rock Mech Rock Eng
– volume: 75
  start-page: 28
  year: 2016
  end-page: 47
  ident: CR14
  article-title: Investigation of directional hydraulic fracturing based on true tri-axial experiment and finite element modeling
  publication-title: Comput Geotech
– volume: 50
  start-page: 914
  year: 2014
  end-page: 917
  ident: CR37
  article-title: Directional hydraulic fracturing in difficult caving roof control and coal degassing
  publication-title: J Min Sci
– volume: 27
  start-page: 129
  year: 2000
  end-page: 149
  ident: CR27
  article-title: Hydraulic fracture initiation and propagation: roles of wellbore trajectory, perforation and stress regimes
  publication-title: J Petrol Sci Eng
– volume: 28
  start-page: 1297
  year: 2010
  end-page: 1306
  ident: CR6
  article-title: The experimental investigation of fracture propagation behavior and fracture geometry in hydraulic fracturing through oriented perforations
  publication-title: Pet Sci Technol
– year: 1994
  ident: CR2
  publication-title: Oriented perforations-a rock mechanics view
– volume: 18
  start-page: 79
  year: 2000
  end-page: 90
  ident: CR32
  article-title: Geotechnical evaluation of miocene gypsum from sivas (Turkey)
  publication-title: Geotech Geol Eng
– volume: 50
  start-page: 967
  year: 2017
  end-page: 993
  ident: CR24
  article-title: Strategies for creating prescribed hydraulic fractures in cave mining
  publication-title: Rock Mech Rock Eng
– volume: 14
  start-page: 131
  issue: 2
  year: 1999
  end-page: 138
  ident: CR52
  article-title: Impact of perforations on hydraulic fracturing Tortuosity
  publication-title: SPE Prod Facil
– volume: 78
  start-page: 47
  year: 2018
  end-page: 63
  ident: CR25
  article-title: Parametric study and dimensional analysis on prescribed hydraulic fractures in cave mining
  publication-title: Tunn Undergr Space Technol
– volume: 68
  start-page: 1
  year: 2014
  end-page: 14
  ident: CR19
  article-title: The application of a modified Voronoi logic to brittle fracture modelling at the laboratory and field scale
  publication-title: Int J Rock Mech Min Sci
– volume: 41
  start-page: 939
  year: 2004
  end-page: 957
  ident: CR7
  article-title: Digital image-based numerical modeling method for prediction of inhomogeneous rock failure
  publication-title: Int J Rock Mech Min Sci
– volume: 16
  start-page: 1016
  year: 1980
  end-page: 1024
  ident: CR58
  article-title: Validity of cubic law for fluid flow in a deformable rock fracture
  publication-title: Water Resour Res
– volume: 34
  start-page: 1877
  year: 2010
  end-page: 1895
  ident: CR33
  article-title: Micromechanical parameters in bonded particle method for modelling of brittle material failure
  publication-title: Int J Numer Anal Meth Geomech
– volume: 48
  start-page: 712
  year: 2011
  end-page: 727
  ident: CR46
  article-title: The distinct element analysis for hydraulic fracturing in hard rock considering fluid viscosity and particle size distribution
  publication-title: Int J Rock Mech Min Sci
– ident: CR38
– volume: 115
  start-page: 60
  year: 2019
  end-page: 76
  ident: CR53
  article-title: A comprehensive parametric study of grain-based models for rock failure process simulation
  publication-title: Int J Rock Mech Min Sci
– volume: 36
  start-page: 1284
  year: 2016
  end-page: 1294
  ident: CR59
  article-title: Simulation of hydraulic fracturing and its interactions with a pre-existing fracture using displacement discontinuity method
  publication-title: J Nat Gas Sci Eng
– start-page: 477
  year: 2013
  end-page: 488
  ident: CR62
  article-title: A numerical investigation of fault slip triggered by hydraulic fracturing
  publication-title: Effective and sustainable hydraulic fracturing
– volume: 124
  start-page: 484
  year: 2014
  end-page: 492
  ident: CR65
  article-title: Determination of in situ stresses and elastic parameters from hydraulic fracturing tests by geomechanics modeling and soft computing
  publication-title: J Petrol Sci Eng
– volume: 15
  start-page: 321
  year: 2015
  end-page: 337
  ident: CR42
  article-title: Development of connected permeability in massive crystalline rocks through hydraulic fracture propagation and shearing accompanying fluid injection
  publication-title: Geofluids
– volume: 46
  start-page: 131
  year: 1999
  end-page: 150
  ident: CR40
  article-title: A finite element method for crack growth without remeshing
  publication-title: Int J Numer Meth Eng
– volume: 36
  start-page: 1284
  year: 2016
  ident: 2422_CR59
  publication-title: J Nat Gas Sci Eng
  doi: 10.1016/j.jngse.2016.03.050
– volume: 28
  start-page: 1297
  year: 2010
  ident: 2422_CR6
  publication-title: Pet Sci Technol
  doi: 10.1080/10916466.2010.483435
– volume: 102
  start-page: 131
  year: 2018
  ident: 2422_CR47
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2018.01.019
– volume: 108
  start-page: 211
  year: 2013
  ident: 2422_CR41
  publication-title: J Petrol Sci Eng
  doi: 10.1016/j.petrol.2013.04.001
– ident: 2422_CR18
  doi: 10.2118/90051-MS
– volume-title: Modeling interaction between natural fractures and hydraulic fractures in block cave mining, 49th us rock mechanics/geomechanics symposium
  year: 2015
  ident: 2422_CR20
– volume-title: Oriented perforations-a rock mechanics view
  year: 1994
  ident: 2422_CR2
  doi: 10.2118/28555-MS
– volume: 45
  start-page: 975
  year: 2012
  ident: 2422_CR34
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-012-0281-7
– ident: 2422_CR16
– ident: 2422_CR50
– volume: 49
  start-page: 4893
  year: 2016
  ident: 2422_CR22
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-016-1075-0
– volume: 34
  start-page: 908
  year: 2016
  ident: 2422_CR54
  publication-title: J Nat Gas Sci Eng
  doi: 10.1016/j.jngse.2016.07.054
– volume: 6
  start-page: 55
  year: 2003
  ident: 2422_CR10
  publication-title: Geosystem Engineering
  doi: 10.1080/12269328.2003.10541205
– volume: 50
  start-page: 967
  year: 2017
  ident: 2422_CR24
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-016-1141-7
– volume: 191
  start-page: 410
  year: 2017
  ident: 2422_CR55
  publication-title: Proced Eng
  doi: 10.1016/j.proeng.2017.05.198
– volume: 50
  start-page: 29
  year: 2012
  ident: 2422_CR11
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2011.12.001
– volume: 18
  start-page: 293
  issue: 3
  year: 1951
  ident: 2422_CR57
  publication-title: J Appl Mech
  doi: 10.1115/1.4010337
– volume: 210
  start-page: 153
  year: 1957
  ident: 2422_CR29
  publication-title: Transactions Soc Petrol Eng AIME
  doi: 10.2118/686-G
– volume: 72
  start-page: 89
  year: 2004
  ident: 2422_CR39
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2003.06.004
– volume: 15
  start-page: 321
  year: 2015
  ident: 2422_CR42
  publication-title: Geofluids
  doi: 10.1111/gfl.12097
– ident: 2422_CR30
– volume: 83
  start-page: 209
  year: 2017
  ident: 2422_CR56
  publication-title: Comput Geotech
  doi: 10.1016/j.compgeo.2016.11.005
– volume: 50
  start-page: 914
  year: 2014
  ident: 2422_CR37
  publication-title: J Min Sci
  doi: 10.1134/S106273911405010X
– volume: 16
  start-page: 1016
  year: 1980
  ident: 2422_CR58
  publication-title: Water Resour Res
  doi: 10.1029/WR016i006p01016
– start-page: 477
  volume-title: Effective and sustainable hydraulic fracturing
  year: 2013
  ident: 2422_CR62
– volume: 39
  start-page: 477
  year: 2002
  ident: 2422_CR49
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/S1365-1609(02)00023-0
– volume-title: A first course in finite elements
  year: 2007
  ident: 2422_CR17
  doi: 10.1002/9780470510858
– volume: 115
  start-page: B01202
  year: 2010
  ident: 2422_CR35
  publication-title: J Geophys Res
– volume: 95
  start-page: 1
  year: 2018
  ident: 2422_CR9
  publication-title: Comput Geotech
  doi: 10.1016/j.compgeo.2017.11.016
– volume: 115
  start-page: 60
  year: 2019
  ident: 2422_CR53
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2019.01.008
– volume: 124
  start-page: 484
  year: 2014
  ident: 2422_CR65
  publication-title: J Petrol Sci Eng
  doi: 10.1016/j.petrol.2014.09.002
– volume: 36
  start-page: 103
  year: 2009
  ident: 2422_CR64
  publication-title: Petrol Explorat Develop
  doi: 10.1016/S1876-3804(09)60113-0
– ident: 2422_CR5
– volume: 165
  start-page: 616
  year: 2018
  ident: 2422_CR67
  publication-title: J Petrol Sci Eng
  doi: 10.1016/j.petrol.2018.02.047
– volume: 78
  start-page: 47
  year: 2018
  ident: 2422_CR25
  publication-title: Tunn Undergr Space Technol
  doi: 10.1016/j.tust.2018.04.012
– ident: 2422_CR38
  doi: 10.1201/9781003078975-85
– volume: 34
  start-page: 1877
  year: 2010
  ident: 2422_CR33
  publication-title: Int J Numer Anal Meth Geomech
  doi: 10.1002/nag.884
– volume-title: Experimental Investigation of the Interaction among closely spaced hydraulic fractures, 45th US rock mechanics/geomechanics symposium
  year: 2011
  ident: 2422_CR4
– volume: 196
  start-page: 4863
  year: 2007
  ident: 2422_CR36
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2007.06.011
– ident: 2422_CR51
  doi: 10.2118/38149-MS
– volume-title: Application of extended finite element method (XFEM) to simulate hydraulic fracture propagation from oriented perforations
  year: 2014
  ident: 2422_CR45
– volume: 43
  start-page: 608
  year: 1991
  ident: 2422_CR3
  publication-title: J Petrol Technol
  doi: 10.2118/20661-PA
– volume: 124
  start-page: 209
  year: 2014
  ident: 2422_CR48
  publication-title: J Petrol Sci Eng
  doi: 10.1016/j.petrol.2014.09.034
– volume-title: Application of the distinct-element method to investigate the influence of natural fractures and in-situ stresses on hydrofrac propagation, the 46th US rock mechanics/geomechanics symposium
  year: 2012
  ident: 2422_CR61
– volume: 27
  start-page: 129
  year: 2000
  ident: 2422_CR27
  publication-title: J Petrol Sci Eng
  doi: 10.1016/S0920-4105(00)00056-5
– volume: 14
  start-page: 131
  issue: 2
  year: 1999
  ident: 2422_CR52
  publication-title: SPE Prod Facil
  doi: 10.2118/56193-PA
– volume-title: Strategies to minimize frac spacing and stimulate natural fractures in horizontal completions, the SPE annual technical conference and exhibition
  year: 2011
  ident: 2422_CR44
– volume: 75
  start-page: 28
  year: 2016
  ident: 2422_CR14
  publication-title: Comput Geotech
  doi: 10.1016/j.compgeo.2016.01.018
– volume: 29
  start-page: 396
  year: 2007
  ident: 2422_CR66
  publication-title: J Struct Geol
  doi: 10.1016/j.jsg.2006.09.013
– volume: 220
  issue: 2020
  year: 2020
  ident: 2422_CR15
  publication-title: Int J Coal Geol
  doi: 10.1016/j.coal.2019.103363
– volume: 32
  start-page: 237
  year: 1995
  ident: 2422_CR43
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/0148-9062(94)00037-4
– volume: 68
  start-page: 1
  year: 2014
  ident: 2422_CR19
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2014.02.003
– volume: 48
  start-page: 2497
  year: 2015
  ident: 2422_CR31
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-015-0846-3
– volume: 25
  start-page: 1201
  year: 1973
  ident: 2422_CR12
  publication-title: J Petrol Technol
  doi: 10.2118/4333-PA
– volume: 37
  start-page: 251
  year: 2004
  ident: 2422_CR60
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-003-0022-z
– volume: 41
  start-page: 939
  year: 2004
  ident: 2422_CR7
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2004.03.002
– volume: 91
  start-page: 179
  year: 2017
  ident: 2422_CR23
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2016.11.021
– volume: 11
  start-page: 1689
  issue: 7
  year: 2018
  ident: 2422_CR26
  publication-title: Energies
  doi: 10.3390/en11071689
– volume: 11
  start-page: 133
  year: 1996
  ident: 2422_CR1
  publication-title: SPE Prod Facil
  doi: 10.2118/24823-PA
– volume: 48
  start-page: 712
  year: 2011
  ident: 2422_CR46
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2011.04.013
– volume: 176–177
  start-page: 207
  issue: 2019
  year: 2019
  ident: 2422_CR28
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2019.06.018
– volume: 46
  start-page: 131
  year: 1999
  ident: 2422_CR40
  publication-title: Int J Numer Meth Eng
  doi: 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
– volume: 74
  start-page: 45
  year: 2016
  ident: 2422_CR8
  publication-title: Comput Geotech
  doi: 10.1016/j.compgeo.2015.11.018
– volume: 18
  start-page: 79
  year: 2000
  ident: 2422_CR32
  publication-title: Geotech Geol Eng
  doi: 10.1023/A:1008969726200
– volume: 52
  start-page: 926
  year: 2015
  ident: 2422_CR63
  publication-title: Can Geotech J
  doi: 10.1139/cgj-2013-0366
– volume: 15
  start-page: 250
  year: 2010
  ident: 2422_CR13
  publication-title: J Shang Jiaot Univ
  doi: 10.1007/s12204-010-8062-5
– ident: 2422_CR21
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Snippet Understanding the hydraulic fracture (HF) re-orientation mechanism from artificial weaknesses is critical to screen-out prevention in the petroleum industry...
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SubjectTerms Civil Engineering
Discrete element method
Earth and Environmental Science
Earth Sciences
Finite element method
Geophysics/Geodesy
Heterogeneity
Homogeneity
Hydraulic fracturing
Mining industry
Orientation
Original Paper
Perforation
Petroleum
Petroleum industry
Propagation
Rock
Rocks
Sediment samples
Simulation
Stress propagation
Weibull distribution
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Title Simulating Hydraulic Fracture Re-orientation in Heterogeneous Rocks with an Improved Discrete Element Method
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