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Volumn 79, Issue , 2012, Pages 312-328

Numerical modeling of hydraulic fracture problem in permeable medium using cohesive zone model

Author keywords

Cohesive zone model; Finite element analysis; Hydraulic fracture; Hydro mechanical coupling

Indexed keywords

ASYMPTOTIC SOLUTIONS; COHESIVE ZONE MODEL; FINITE ELEMENT; FRACTURE PROPAGATION; FULLY-COUPLED; HYDRAULIC FRACTURE; HYDRO-MECHANICAL; HYDROMECHANICAL COUPLING; LUBRICATION EQUATION; NUMERICAL MODELING; NUMERICAL RESULTS; POROELASTIC MEDIUM; PROPAGATION REGIMES;

EID: 84855197325     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2011.11.012     Document Type: Article
Times cited : (432)

References (48)
  • 1
    • 77649338011 scopus 로고    scopus 로고
    • Hydro-mechanical modelling of the excavation damaged zone around an underground excavation at Mont Terri Rock Laboratory
    • Levasseur S., Charlier R., Frieg B., Collin F. Hydro-mechanical modelling of the excavation damaged zone around an underground excavation at Mont Terri Rock Laboratory. Int J Rock Mech Min Sci 2010, 47(3):414-425. 10.1016/j.ijrmms.2010.01.006.
    • (2010) Int J Rock Mech Min Sci , vol.47 , Issue.3 , pp. 414-425
    • Levasseur, S.1    Charlier, R.2    Frieg, B.3    Collin, F.4
  • 2
    • 77949265932 scopus 로고    scopus 로고
    • Hydraulic stimulation of a deep sandstone reservoir to develop an Enhanced Geothermal System: Laboratory and field experiments
    • The European I-GET project: integrated geophysical exploration technologies for deep geothermal reservoirs.
    • Zimmermann G., Reinicke A. Hydraulic stimulation of a deep sandstone reservoir to develop an Enhanced Geothermal System: Laboratory and field experiments. Geothermics 2010, 39(1):70-77. The European I-GET project: integrated geophysical exploration technologies for deep geothermal reservoirs. . 10.1016/j.geothermics.2009.12.003.
    • (2010) Geothermics , vol.39 , Issue.1 , pp. 70-77
    • Zimmermann, G.1    Reinicke, A.2
  • 3
    • 77955205690 scopus 로고    scopus 로고
    • A model for turbulent hydraulic fracture and application to crack propagation at glacier beds
    • Tsai V., Rice J. A model for turbulent hydraulic fracture and application to crack propagation at glacier beds. J Geophys Res 2010, 115(F03007). 10.1029/2009JF001474.
    • (2010) J Geophys Res F03007 , vol.115
    • Tsai, V.1    Rice, J.2
  • 4
    • 50249103784 scopus 로고    scopus 로고
    • Plane strain propagation of a hydraulic fracture in a permeable rock
    • Adachi J., Detournay E. Plane strain propagation of a hydraulic fracture in a permeable rock. Engng Fract Mech 2008, 75(16):4666-4694. 10.1016/j.engfracmech.2008.04.006.
    • (2008) Engng Fract Mech , vol.75 , Issue.16 , pp. 4666-4694
    • Adachi, J.1    Detournay, E.2
  • 5
    • 24144466496 scopus 로고    scopus 로고
    • Toughness-dominated hydraulic fracture with leak-off
    • Bunger A., Detournay E., Garagash D. Toughness-dominated hydraulic fracture with leak-off. Int J Fract 2005, 134(2):175-190. 10.1007/s10704-005-0154-0.
    • (2005) Int J Fract , vol.134 , Issue.2 , pp. 175-190
    • Bunger, A.1    Detournay, E.2    Garagash, D.3
  • 6
    • 3242799593 scopus 로고    scopus 로고
    • Propagation regimes of fluid-driven fractures in impermeable rocks
    • Detournay E. Propagation regimes of fluid-driven fractures in impermeable rocks. Int J Geomech 2004, 4:35-45. 10.1061/(ASCE)1532-3641(2004)4:1(35).
    • (2004) Int J Geomech , vol.4 , pp. 35-45
    • Detournay, E.1
  • 7
    • 34547396630 scopus 로고    scopus 로고
    • Plane-strain propagation of a fluid-driven fracture during injection and shut-in: asymptotics of large toughness
    • Garagash D. Plane-strain propagation of a fluid-driven fracture during injection and shut-in: asymptotics of large toughness. Engng Fract Mech 2007, 74(16):456-481. 10.1016/j.engfracmech.2007.04.004.
    • (2007) Engng Fract Mech , vol.74 , Issue.16 , pp. 456-481
    • Garagash, D.1
  • 8
    • 34248223775 scopus 로고    scopus 로고
    • An asymptotic framework for the analysis of hydraulic fractures: The impermeable case
    • Mitchell S., Kuske R., Peirce A. An asymptotic framework for the analysis of hydraulic fractures: The impermeable case. J Appl Mech-Trans ASME 2007, 74(2):365-372. 10.1115/1.2200653.
    • (2007) J Appl Mech-Trans ASME , vol.74 , Issue.2 , pp. 365-372
    • Mitchell, S.1    Kuske, R.2    Peirce, A.3
  • 9
    • 34247588057 scopus 로고    scopus 로고
    • An asymptotic framework for finite hydraulic fractures including leak-off
    • Mitchell S., Kuske R., Peirce A. An asymptotic framework for finite hydraulic fractures including leak-off. SIAM J Appl Math 2006, 67(2):364-386. 10.1137/04062059X.
    • (2006) SIAM J Appl Math , vol.67 , Issue.2 , pp. 364-386
    • Mitchell, S.1    Kuske, R.2    Peirce, A.3
  • 10
    • 0036900316 scopus 로고    scopus 로고
    • Propagation of a penny-shaped fluid-driven fracture in an impermeable rock: asymptotic solutions
    • Savitski A., Detournay E. Propagation of a penny-shaped fluid-driven fracture in an impermeable rock: asymptotic solutions. Int J Solids Struct 2002, 39(26):6311-6337.
    • (2002) Int J Solids Struct , vol.39 , Issue.26 , pp. 6311-6337
    • Savitski, A.1    Detournay, E.2
  • 11
    • 80054992911 scopus 로고    scopus 로고
    • Plane-strain propagation of a fluid-driven crack in a permeable rock with fracture toughness
    • Hu J., Garagash D. Plane-strain propagation of a fluid-driven crack in a permeable rock with fracture toughness. J Engng Mech-ASCE 2010, 136(9):1152-1166. 10.1061/(ASCE)EM.1943-7889.0000169.
    • (2010) J Engng Mech-ASCE , vol.136 , Issue.9 , pp. 1152-1166
    • Hu, J.1    Garagash, D.2
  • 13
    • 0014618169 scopus 로고
    • A rapid method of predicting width and extent of hydraulically induced fractures
    • Geertsma J., De Klerk F. A rapid method of predicting width and extent of hydraulically induced fractures. J Pet Technol 1969, 21(12):1571-1581.
    • (1969) J Pet Technol , vol.21 , Issue.12 , pp. 1571-1581
    • Geertsma, J.1    De Klerk, F.2
  • 14
    • 0000063618 scopus 로고
    • Widths of hydraulic fractures
    • Perkins T., Kern L. Widths of hydraulic fractures. J Pet Technol 1961, 13(9):937-949.
    • (1961) J Pet Technol , vol.13 , Issue.9 , pp. 937-949
    • Perkins, T.1    Kern, L.2
  • 15
    • 0000812029 scopus 로고
    • Propagation of a vertical hydraulic fracture
    • Nordgren R. Propagation of a vertical hydraulic fracture. Old SPE J 1972, 12(4):306-314.
    • (1972) Old SPE J , vol.12 , Issue.4 , pp. 306-314
    • Nordgren, R.1
  • 16
    • 70350560508 scopus 로고    scopus 로고
    • Cohesive zone finite element-based modeling of hydraulic fractures
    • Sp. Iss. SI
    • Chen Z., Bunger A., Zhang X., Jeffrey R. Cohesive zone finite element-based modeling of hydraulic fractures. Acta Mech Solida Sinica 2009, 22(5, Sp. Iss. SI):443-452.
    • (2009) Acta Mech Solida Sinica , vol.22 , Issue.5 , pp. 443-452
    • Chen, Z.1    Bunger, A.2    Zhang, X.3    Jeffrey, R.4
  • 17
    • 84986238322 scopus 로고    scopus 로고
    • Numerical modeling of hydro-mechanical fracture behavior. In: Numerical models in geomechanics-NUMOG
    • Guiducci C, Pellegrino A, Radu J, Collin F, Charlier R. Numerical modeling of hydro-mechanical fracture behavior. In: Numerical models in geomechanics-NUMOG VIII; 2002. p. 293-9.
    • (2002) , vol.86 , pp. 293-9
    • Guiducci, C.1    Pellegrino, A.2    Radu, J.3    Collin, F.4    Charlier, R.5
  • 18
    • 65549110384 scopus 로고    scopus 로고
    • An extended finite element method for hydraulic fracture problems
    • Lecampion B. An extended finite element method for hydraulic fracture problems. Commun Numer Methods Engng 2009, 25(2):121-133. 10.1002/cnm.1111.
    • (2009) Commun Numer Methods Engng , vol.25 , Issue.2 , pp. 121-133
    • Lecampion, B.1
  • 19
    • 76249122506 scopus 로고    scopus 로고
    • Modelling of hydro-fracture flow in porous media
    • Lobao M., Eve R., Owen D., de Souza N E.A. Modelling of hydro-fracture flow in porous media. Engng Comput 2010, 27(1-2):129-154. 10.1108/02644401011008568.
    • (2010) Engng Comput , vol.27 , Issue.1-2 , pp. 129-154
    • Lobao, M.1    Eve, R.2    Owen, D.3    de Souza N, E.A.4
  • 20
    • 77953135287 scopus 로고    scopus 로고
    • Coupled HM analysis using zero-thickness interface elements with double nodes. Part I: theoretical model
    • Segura J., Carol I. Coupled HM analysis using zero-thickness interface elements with double nodes. Part I: theoretical model. Int J Numer Anal Methods Geomech 2008, 32(18):2083-2101. 10.1002/nag.735.
    • (2008) Int J Numer Anal Methods Geomech , vol.32 , Issue.18 , pp. 2083-2101
    • Segura, J.1    Carol, I.2
  • 21
    • 0142009995 scopus 로고    scopus 로고
    • Cohesive fracture mechanics for a multi-phase porous medium
    • Simoni L., Secchi S. Cohesive fracture mechanics for a multi-phase porous medium. Engng Comput 2003, 20(5-6):675-698. 10.1108/02644400310488817.
    • (2003) Engng Comput , vol.20 , Issue.5-6 , pp. 675-698
    • Simoni, L.1    Secchi, S.2
  • 22
    • 0017009991 scopus 로고
    • Growth-rate of a penny-shaped crack in hydraulic fracturing of rocks
    • Abe H., Mura T., Keer L. Growth-rate of a penny-shaped crack in hydraulic fracturing of rocks. J Geophys Res 1976, 81(29):5335-5340.
    • (1976) J Geophys Res , vol.81 , Issue.29 , pp. 5335-5340
    • Abe, H.1    Mura, T.2    Keer, L.3
  • 24
    • 0025199606 scopus 로고
    • A numerical procedure for simulation of hydraulically-driven fracture propagation in poroelastic media
    • Boone T., Ingraffea A. A numerical procedure for simulation of hydraulically-driven fracture propagation in poroelastic media. Int J Numer Anal Meth Geomech 1990, 14(1):27-47.
    • (1990) Int J Numer Anal Meth Geomech , vol.14 , Issue.1 , pp. 27-47
    • Boone, T.1    Ingraffea, A.2
  • 25
    • 0001021725 scopus 로고    scopus 로고
    • An efficient algorithm for propagating fluid-driven fractures
    • Papanastasiou P. An efficient algorithm for propagating fluid-driven fractures. Comput Mech 1999, 24(4):258-267.
    • (1999) Comput Mech , vol.24 , Issue.4 , pp. 258-267
    • Papanastasiou, P.1
  • 26
    • 78651381412 scopus 로고    scopus 로고
    • The influence of the cohesive process zone in hydraulic fracturing modelling
    • Sarris E., Papanastasiou P. The influence of the cohesive process zone in hydraulic fracturing modelling. Int J Fract 2011, 167(1):33-45. 10.1007/s10704-010-9515-4.
    • (2011) Int J Fract , vol.167 , Issue.1 , pp. 33-45
    • Sarris, E.1    Papanastasiou, P.2
  • 27
    • 84860265679 scopus 로고    scopus 로고
    • Modelling of hydraulic fracturing in a poroelastic cohesive formation
    • doi:
    • Sarris E., Papanastasiou P. Modelling of hydraulic fracturing in a poroelastic cohesive formation. Int J Geomech 2001, doi:http://dx.doi.org/10.1061/(ASCE)GM.1943-5622.0000121.
    • (2001) Int J Geomech
    • Sarris, E.1    Papanastasiou, P.2
  • 29
    • 85040532377 scopus 로고
    • Optimum fluid characteristics for fracture extension
    • Carter E. Optimum fluid characteristics for fracture extension. Drill Prod Pract 1957, 261-270.
    • (1957) Drill Prod Pract , pp. 261-270
    • Carter, E.1
  • 30
    • 84855195303 scopus 로고    scopus 로고
    • Fluid-driven fracture in poroelastic medium. Ph.D. thesis; University of Minnesota
    • Kovalyshen Y. Fluid-driven fracture in poroelastic medium. Ph.D. thesis; University of Minnesota; 2010.
    • (2010)
    • Kovalyshen, Y.1
  • 31
    • 76149088400 scopus 로고    scopus 로고
    • Hydraulic fracture propagation with 3-D leak-off
    • doi:10.1007/s11242-009-9375-4.
    • Mathias S., van Reeuwijk M. Hydraulic fracture propagation with 3-D leak-off. Transp Porous Med 2009, 80:499-518. doi:10.1007/s11242-009-9375-4. .
    • (2009) Transp Porous Med , vol.80 , pp. 499-518
    • Mathias, S.1    van Reeuwijk, M.2
  • 32
    • 84915385149 scopus 로고
    • A poroelastic PKN hydraulic fracture model based on an explicit moving mesh algorithm
    • Detournay E., Cheng A., McLennan J. A poroelastic PKN hydraulic fracture model based on an explicit moving mesh algorithm. ASME J Ener Res Tech 1990, 112(4).
    • (1990) ASME J Ener Res Tech , vol.112 , Issue.4
    • Detournay, E.1    Cheng, A.2    McLennan, J.3
  • 33
    • 0025478932 scopus 로고
    • Poroelasticity in hydraulic fracturing simulators
    • Vandamme L., Roegiers J. Poroelasticity in hydraulic fracturing simulators. J Pet Technol 1990, 42(9):1199-1203.
    • (1990) J Pet Technol , vol.42 , Issue.9 , pp. 1199-1203
    • Vandamme, L.1    Roegiers, J.2
  • 34
    • 0018955124 scopus 로고
    • Validity of cubic law for fluid flow in a deformable rock fracture
    • Witherspoon P., Wang J., Iwai K., Gale J. Validity of cubic law for fluid flow in a deformable rock fracture. Water Resour Res 1980, 16(6).
    • (1980) Water Resour Res , vol.16 , Issue.6
    • Witherspoon, P.1    Wang, J.2    Iwai, K.3    Gale, J.4
  • 37
    • 50549180512 scopus 로고
    • Yielding of steel sheets containing slits
    • Dugdale D. Yielding of steel sheets containing slits. J Mech Phys 1960, 8(2):100-104.
    • (1960) J Mech Phys , vol.8 , Issue.2 , pp. 100-104
    • Dugdale, D.1
  • 38
    • 77649193465 scopus 로고
    • The mathematical theory of equilibrium cracks in brittle fracture
    • Barenblatt G. The mathematical theory of equilibrium cracks in brittle fracture. Adv Appl Mech 1962, 7(55-129):55-130.
    • (1962) Adv Appl Mech , vol.7 , Issue.55-129 , pp. 55-130
    • Barenblatt, G.1
  • 39
    • 0001796947 scopus 로고
    • On the mechanism of hydraulic fracturing of an oil-bearing stratum
    • Zheltov Y., Khristianovitch S. On the mechanism of hydraulic fracturing of an oil-bearing stratum. Izvest Akad Nauk SSR, OTN 1955, 5:3-41.
    • (1955) Izvest Akad Nauk SSR, OTN , vol.5 , pp. 3-41
    • Zheltov, Y.1    Khristianovitch, S.2
  • 40
    • 0035930887 scopus 로고    scopus 로고
    • The cohesive zone model: advantages, limitations and challenges
    • Elices M., Guinea G., Gomez J., Planas J. The cohesive zone model: advantages, limitations and challenges. Engng Fract Mech 2002, 69(2):137-163.
    • (2002) Engng Fract Mech , vol.69 , Issue.2 , pp. 137-163
    • Elices, M.1    Guinea, G.2    Gomez, J.3    Planas, J.4
  • 41
    • 0004725612 scopus 로고
    • Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
    • Hillerborg A., Modéer M., Petersson P. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement Concr Res 1976, 6(6):773-781.
    • (1976) Cement Concr Res , vol.6 , Issue.6 , pp. 773-781
    • Hillerborg, A.1    Modéer, M.2    Petersson, P.3
  • 43
    • 33746749395 scopus 로고    scopus 로고
    • Initiation of cracks with cohesive force models: a variational approach
    • Charlotte M., Laverne J., Marigo J. Initiation of cracks with cohesive force models: a variational approach. Eur J Mech A/Solids 2006, 25(4):649-669.
    • (2006) Eur J Mech A/Solids , vol.25 , Issue.4 , pp. 649-669
    • Charlotte, M.1    Laverne, J.2    Marigo, J.3
  • 44
    • 85123615747 scopus 로고
    • Analysis of stresses and strains near the end of a crack traversing a plate
    • Irwin G. Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech 1957, 24:361-364.
    • (1957) J Appl Mech , vol.24 , pp. 361-364
    • Irwin, G.1
  • 45
    • 0038265526 scopus 로고    scopus 로고
    • On the practical application of the cohesive model
    • Cohesive models.
    • Cornec A., Scheider I., Schwalbe K.H. On the practical application of the cohesive model. Engng Fract Mech 2003, 70(14):1963-1987. Cohesive models. . 10.1016/S0013-7944(03)00134-6.
    • (2003) Engng Fract Mech , vol.70 , Issue.14 , pp. 1963-1987
    • Cornec, A.1    Scheider, I.2    Schwalbe, K.H.3
  • 46
    • 66249106368 scopus 로고    scopus 로고
    • A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems
    • Ern A., Meunier S. A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems. ESAIM: M2AN 2009, 43(2):353-375. . 10.1051/m2an:2008048.
    • (2009) ESAIM: M2AN , vol.43 , Issue.2 , pp. 353-375
    • Ern, A.1    Meunier, S.2
  • 47
    • 0035733766 scopus 로고    scopus 로고
    • Stability of finite element mixed interpolation for contact problems
    • Bathe K., Brezzi F. Stability of finite element mixed interpolation for contact problems. Rend Mat Acc Lincei 2001, 12(9):167-183.
    • (2001) Rend Mat Acc Lincei , vol.12 , Issue.9 , pp. 167-183
    • Bathe, K.1    Brezzi, F.2
  • 48
    • 84855192399 scopus 로고    scopus 로고
    • EDF R&D. Code_Aster.
    • EDF R&D. Code_Aster. http://www.code-aster.org.


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