Numerical Study of Elasto-Plastic Hydraulic Fracture Propagation in Deep Reservoirs Using a Hybrid EDFM–XFEM Method
Rock yielding may well take place during hydraulic fracturing in deep reservoirs. The prevailing models based on the linear elastic fracture mechanics (LEFM) are incapable of describing the evolution process of hydraulic fractures accurately. In this paper, a hydro-elasto-plastic model is proposed t...
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MDPI AG
2021-05-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/9/2610 |
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| author | Wenzheng Liu Qingdong Zeng Jun Yao Ziyou Liu Tianliang Li Xia Yan |
| author_facet | Wenzheng Liu Qingdong Zeng Jun Yao Ziyou Liu Tianliang Li Xia Yan |
| author_sort | Wenzheng Liu |
| collection | DOAJ |
| description | Rock yielding may well take place during hydraulic fracturing in deep reservoirs. The prevailing models based on the linear elastic fracture mechanics (LEFM) are incapable of describing the evolution process of hydraulic fractures accurately. In this paper, a hydro-elasto-plastic model is proposed to investigate the hydraulic fracture propagation in deep reservoirs. The Drucker–Prager plasticity model, Darcy’s law, cubic law and cohesive zone model are employed to describe the plastic deformation, matrix flow, fracture flow and evolution of hydraulic fractures, respectively. Combining the embedded discrete fracture model (EDFM), extended finite element method (XFEM) and finite volume method, a hybrid numerical scheme is presented to carry out simulations. A dual-layer iterative procedure is developed based on the fixed-stress split method, Picard iterative method and Newton–Raphson iterative method. The iterative procedure is used to deal with the coupling between nonlinear deformation with fracture extension and fluid flow. The proposed model is verified against analytical solutions and other numerical simulation results. A series of numerical cases are performed to investigate the influences of rock plasticity, internal friction angle, dilatancy angle and permeability on hydraulic fracture propagation. Finally, the proposed model is extended to simulate multiple hydraulic fracture propagation. The result shows that plastic deformation can enhance the stress-shadowing effect. |
| first_indexed | 2024-03-10T11:44:02Z |
| format | Article |
| id | doaj.art-177607d212294bda8f2097b029dd2a45 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T11:44:02Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
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| series | Energies |
| spelling | doaj.art-177607d212294bda8f2097b029dd2a452023-11-21T18:13:09ZengMDPI AGEnergies1996-10732021-05-01149261010.3390/en14092610Numerical Study of Elasto-Plastic Hydraulic Fracture Propagation in Deep Reservoirs Using a Hybrid EDFM–XFEM MethodWenzheng Liu0Qingdong Zeng1Jun Yao2Ziyou Liu3Tianliang Li4Xia Yan5Research Center of Multiphase Flow in Porous Media, China University of Petroleum (East China), Qingdao 266580, ChinaDepartment of Mechanics, Shandong University of Science and Technology, Qingdao 266580, ChinaResearch Center of Multiphase Flow in Porous Media, China University of Petroleum (East China), Qingdao 266580, ChinaResearch Center of Multiphase Flow in Porous Media, China University of Petroleum (East China), Qingdao 266580, ChinaProduction Optimization R&D Institute of COSL, Tianjin 300459, ChinaResearch Center of Multiphase Flow in Porous Media, China University of Petroleum (East China), Qingdao 266580, ChinaRock yielding may well take place during hydraulic fracturing in deep reservoirs. The prevailing models based on the linear elastic fracture mechanics (LEFM) are incapable of describing the evolution process of hydraulic fractures accurately. In this paper, a hydro-elasto-plastic model is proposed to investigate the hydraulic fracture propagation in deep reservoirs. The Drucker–Prager plasticity model, Darcy’s law, cubic law and cohesive zone model are employed to describe the plastic deformation, matrix flow, fracture flow and evolution of hydraulic fractures, respectively. Combining the embedded discrete fracture model (EDFM), extended finite element method (XFEM) and finite volume method, a hybrid numerical scheme is presented to carry out simulations. A dual-layer iterative procedure is developed based on the fixed-stress split method, Picard iterative method and Newton–Raphson iterative method. The iterative procedure is used to deal with the coupling between nonlinear deformation with fracture extension and fluid flow. The proposed model is verified against analytical solutions and other numerical simulation results. A series of numerical cases are performed to investigate the influences of rock plasticity, internal friction angle, dilatancy angle and permeability on hydraulic fracture propagation. Finally, the proposed model is extended to simulate multiple hydraulic fracture propagation. The result shows that plastic deformation can enhance the stress-shadowing effect.https://www.mdpi.com/1996-1073/14/9/2610hydraulic fracturedeep reservoirrock plasticitycohesive zone modelembedded discrete fracture modelextended finite element method |
| spellingShingle | Wenzheng Liu Qingdong Zeng Jun Yao Ziyou Liu Tianliang Li Xia Yan Numerical Study of Elasto-Plastic Hydraulic Fracture Propagation in Deep Reservoirs Using a Hybrid EDFM–XFEM Method Energies hydraulic fracture deep reservoir rock plasticity cohesive zone model embedded discrete fracture model extended finite element method |
| title | Numerical Study of Elasto-Plastic Hydraulic Fracture Propagation in Deep Reservoirs Using a Hybrid EDFM–XFEM Method |
| title_full | Numerical Study of Elasto-Plastic Hydraulic Fracture Propagation in Deep Reservoirs Using a Hybrid EDFM–XFEM Method |
| title_fullStr | Numerical Study of Elasto-Plastic Hydraulic Fracture Propagation in Deep Reservoirs Using a Hybrid EDFM–XFEM Method |
| title_full_unstemmed | Numerical Study of Elasto-Plastic Hydraulic Fracture Propagation in Deep Reservoirs Using a Hybrid EDFM–XFEM Method |
| title_short | Numerical Study of Elasto-Plastic Hydraulic Fracture Propagation in Deep Reservoirs Using a Hybrid EDFM–XFEM Method |
| title_sort | numerical study of elasto plastic hydraulic fracture propagation in deep reservoirs using a hybrid edfm xfem method |
| topic | hydraulic fracture deep reservoir rock plasticity cohesive zone model embedded discrete fracture model extended finite element method |
| url | https://www.mdpi.com/1996-1073/14/9/2610 |
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