Study of hydraulic fracturing in an anisotropic poroelastic medium via a hybrid EDFM-XFEM approach
In this paper, we investigate the effects of poroelastic properties and permeability on hydraulic fracturing in an anisotropic medium. A hybrid approach combining the EDFM (embedded discrete fracture model) and XFEM (extended finite element method) is proposed. Fractures are embedded into a nonconfo...
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| Published in | Computers and geotechnics Vol. 105; pp. 51 - 68 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Elsevier Ltd
01.01.2019
Elsevier BV Elsevier |
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| Abstract | In this paper, we investigate the effects of poroelastic properties and permeability on hydraulic fracturing in an anisotropic medium. A hybrid approach combining the EDFM (embedded discrete fracture model) and XFEM (extended finite element method) is proposed. Fractures are embedded into a nonconforming grid used to determine the fluid flow in a porous matrix by the mimetic finite difference method, accounting for an anisotropic permeability tensor. The stress-strain problem is solved by the extended finite element method with the same grid. The fluid flow and rock deformation as well as the fracture propagation are iteratively coupled. The proposed approach is validated against the analytical solutions for Mandel’s problem and the KDG model. A series of calculations are performed, and the obtained results are analyzed to investigate the effects of the anisotropy of permeability, that of the elastic modulus and Biot’s coefficient on the hydraulic fracturing process. It is found that the anisotropy of permeability has a significant influence on the geometrical parameter of a fracture, while the anisotropy of the elastic modulus has a dominating influence on the propagation direction of a fracture. Biot’s coefficient also has an influence on the fracture propagation kinetics. |
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| AbstractList | In this paper, we investigate the effects of poroelastic properties and permeability on hydraulic fracturing in an anisotropic medium. A hybrid approach combining the EDFM (embedded discrete fracture model) and XFEM (extended finite element method) is proposed. Fractures are embedded into a nonconforming grid used to determine the fluid flow in a porous matrix by the mimetic finite difference method, accounting for an anisotropic permeability tensor. The stress-strain problem is solved by the extended finite element method with the same grid. The fluid flow and rock deformation as well as the fracture propagation are iteratively coupled. The proposed approach is validated against the analytical solutions for Mandel’s problem and the KDG model. A series of calculations are performed, and the obtained results are analyzed to investigate the effects of the anisotropy of permeability, that of the elastic modulus and Biot’s coefficient on the hydraulic fracturing process. It is found that the anisotropy of permeability has a significant influence on the geometrical parameter of a fracture, while the anisotropy of the elastic modulus has a dominating influence on the propagation direction of a fracture. Biot’s coefficient also has an influence on the fracture propagation kinetics. |
| Author | Zeng, Qing-Dong Yao, Jun Shao, Jianfu |
| Author_xml | – sequence: 1 givenname: Qing-Dong surname: Zeng fullname: Zeng, Qing-Dong organization: Research Centre of Multiphase Flow in Porous Media, China University of Petroleum (East China), Qingdao, China – sequence: 2 givenname: Jun surname: Yao fullname: Yao, Jun organization: Research Centre of Multiphase Flow in Porous Media, China University of Petroleum (East China), Qingdao, China – sequence: 3 givenname: Jianfu orcidid: 0000-0002-6632-8207 surname: Shao fullname: Shao, Jianfu email: jian-fu.shao@polytech-lille.fr organization: Laboratory of Multiscale and Multiphysics Mechanics (Lamcube), University of Lille, 59650 Villeneuve d’Ascq, France |
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| Keywords | Anisotropic rocks Fluid-solid coupling EDFM Hydraulic fracturing Crack propagation XFEM |
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| Snippet | In this paper, we investigate the effects of poroelastic properties and permeability on hydraulic fracturing in an anisotropic medium. A hybrid approach... |
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| SubjectTerms | Anisotropic rocks Anisotropy Computational fluid dynamics Crack propagation Deformation EDFM Elastic anisotropy Engineering Sciences Finite difference method Finite element analysis Finite element method Fluid flow Fluid-solid coupling Fracture mechanics Fractures Hydraulic fracturing Kinetics Mechanical properties Mechanics Modulus of elasticity Permeability Porous media Porous media flow Rock deformation Tensors XFEM |
| Title | Study of hydraulic fracturing in an anisotropic poroelastic medium via a hybrid EDFM-XFEM approach |
| URI | https://dx.doi.org/10.1016/j.compgeo.2018.09.010 https://www.proquest.com/docview/2157471472 https://hal.science/hal-04508710 |
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