A numerical study on the effect of anisotropy on hydraulic fractures

V. Valliappan (Corresponding author), J.J.C. Remmers, A. Barnhoorn, D.M.J. Smeulders

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract


In this paper, we present a two-dimensional numerical model for modelling of hydraulic fracturing in anisotropic media. The numerical model is based on extended finite element method. The saturated porous medium is modelled using Biot’s theory of poroelasticity. An enhanced local pressure model is used for modelling the pressure within the fracture, taking into account the external fluid injection and the leak-off. Directional dependence of all the rock properties, both elastic and flow related, is taken into account. A combination of the Tsai–Hill failure criterion and Camacho–Ortiz propagation criterion is proposed to determine the fracture propagation. We study the impact on fracture propagation (in both magnitude and direction) due to anisotropies induced by various parameters, namely ultimate tensile strength, Young’s modulus, permeability and overburden pressure. The influence of several combinations of all these anisotropies along with different grain orientations and initial fracture directions on the fracture propagation direction is studied. Different regimes are identified where the fracture propagation direction is controlled by the degree of material anisotropy instead of the stress anisotropy.


Keywords
Rock anisotropy Transverse isotropy Hydraulic fracturing Porous media Extended finite element method
LanguageEnglish
Pages591-609
Number of pages19
JournalRock Mechanics and Rock Engineering
Volume52
Issue number2
DOIs
StatePublished - Feb 2019

Fingerprint

hydraulics
anisotropy
propagation
fracturing
finite element method
fluid injection
rocks
anisotropic media
isotropy
tensile strength
modulus of elasticity
permeability
elastic properties

Bibliographical note

10.1007/s00603-017-1362-4

Keywords

  • Rock anisotropy, Transverse isotropy, Hydraulic fracturing, Porous media, Extended finite element method

Cite this

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title = "A numerical study on the effect of anisotropy on hydraulic fractures",
abstract = "In this paper, we present a two-dimensional numerical model for modelling of hydraulic fracturing in anisotropic media. The numerical model is based on extended finite element method. The saturated porous medium is modelled using Biot’s theory of poroelasticity. An enhanced local pressure model is used for modelling the pressure within the fracture, taking into account the external fluid injection and the leak-off. Directional dependence of all the rock properties, both elastic and flow related, is taken into account. A combination of the Tsai–Hill failure criterion and Camacho–Ortiz propagation criterion is proposed to determine the fracture propagation. We study the impact on fracture propagation (in both magnitude and direction) due to anisotropies induced by various parameters, namely ultimate tensile strength, Young’s modulus, permeability and overburden pressure. The influence of several combinations of all these anisotropies along with different grain orientations and initial fracture directions on the fracture propagation direction is studied. Different regimes are identified where the fracture propagation direction is controlled by the degree of material anisotropy instead of the stress anisotropy.KeywordsRock anisotropy Transverse isotropy Hydraulic fracturing Porous media Extended finite element method",
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A numerical study on the effect of anisotropy on hydraulic fractures. / Valliappan, V. (Corresponding author); Remmers, J.J.C.; Barnhoorn, A.; Smeulders, D.M.J.

In: Rock Mechanics and Rock Engineering, Vol. 52 , No. 2, 02.2019, p. 591-609.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - A numerical study on the effect of anisotropy on hydraulic fractures

AU - Valliappan,V.

AU - Remmers,J.J.C.

AU - Barnhoorn,A.

AU - Smeulders,D.M.J.

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PY - 2019/2

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N2 - In this paper, we present a two-dimensional numerical model for modelling of hydraulic fracturing in anisotropic media. The numerical model is based on extended finite element method. The saturated porous medium is modelled using Biot’s theory of poroelasticity. An enhanced local pressure model is used for modelling the pressure within the fracture, taking into account the external fluid injection and the leak-off. Directional dependence of all the rock properties, both elastic and flow related, is taken into account. A combination of the Tsai–Hill failure criterion and Camacho–Ortiz propagation criterion is proposed to determine the fracture propagation. We study the impact on fracture propagation (in both magnitude and direction) due to anisotropies induced by various parameters, namely ultimate tensile strength, Young’s modulus, permeability and overburden pressure. The influence of several combinations of all these anisotropies along with different grain orientations and initial fracture directions on the fracture propagation direction is studied. Different regimes are identified where the fracture propagation direction is controlled by the degree of material anisotropy instead of the stress anisotropy.KeywordsRock anisotropy Transverse isotropy Hydraulic fracturing Porous media Extended finite element method

AB - In this paper, we present a two-dimensional numerical model for modelling of hydraulic fracturing in anisotropic media. The numerical model is based on extended finite element method. The saturated porous medium is modelled using Biot’s theory of poroelasticity. An enhanced local pressure model is used for modelling the pressure within the fracture, taking into account the external fluid injection and the leak-off. Directional dependence of all the rock properties, both elastic and flow related, is taken into account. A combination of the Tsai–Hill failure criterion and Camacho–Ortiz propagation criterion is proposed to determine the fracture propagation. We study the impact on fracture propagation (in both magnitude and direction) due to anisotropies induced by various parameters, namely ultimate tensile strength, Young’s modulus, permeability and overburden pressure. The influence of several combinations of all these anisotropies along with different grain orientations and initial fracture directions on the fracture propagation direction is studied. Different regimes are identified where the fracture propagation direction is controlled by the degree of material anisotropy instead of the stress anisotropy.KeywordsRock anisotropy Transverse isotropy Hydraulic fracturing Porous media Extended finite element method

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