Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element Method
In this paper, influential parameters on the hydraulic fracturing processes in porous media were investigated. Besides, the simultaneous stimulation of solids, fluids and fractures geomechanical equations were numerically analyzed as a developed 3D model. To do this, the Abacus software was used as...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/7/1122 |
| _version_ | 1797563244459589632 |
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| author | Shanhui Sun Meihua Zhou Wei Lu Afshin Davarpanah |
| author_facet | Shanhui Sun Meihua Zhou Wei Lu Afshin Davarpanah |
| author_sort | Shanhui Sun |
| collection | DOAJ |
| description | In this paper, influential parameters on the hydraulic fracturing processes in porous media were investigated. Besides, the simultaneous stimulation of solids, fluids and fractures geomechanical equations were numerically analyzed as a developed 3D model. To do this, the Abacus software was used as a multi-objective program to solve the physical-mechanical symmetry law governing equations, according to the finite element method. Two different layers, A (3104–2984 m) and B (4216–4326 m), are considered in the model. According to the result of this study, the maximum fracture opening length in the connection of the wall surface is 10 and 9 mm for layer B and layer A, respectively. Moreover, the internal fracture fluid pressure for layer B and layer A is 65 and 53 Mpa. It is indicated that fracture fluid pressure reduced with the increase in fracture propagation length. Consequently, the results of this study would be of benefit for petroleum industries to consider several crucial geomechanical characteristics in hydraulic fractures simultaneously as a developed numerical model for different formation layers to compare a comprehensive analysis between each layer. |
| first_indexed | 2024-03-10T18:39:45Z |
| format | Article |
| id | doaj.art-a58504af602944a48218ba932689cd88 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T18:39:45Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-a58504af602944a48218ba932689cd882023-11-20T05:57:29ZengMDPI AGSymmetry2073-89942020-07-01127112210.3390/sym12071122Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element MethodShanhui Sun0Meihua Zhou1Wei Lu2Afshin Davarpanah3College of Mathematics and Statistics, Suzhou University, Suzhou 215006, ChinaSchool of Management, China University of Mining and Technology, Xuzhou 221116, ChinaCollege of Mathematics and Statistics, Suzhou University, Suzhou 215006, ChinaDepartment of Mathematics, Aberystwyth University, Penglais Hill, Aberystwyth SY23 3FL, UKIn this paper, influential parameters on the hydraulic fracturing processes in porous media were investigated. Besides, the simultaneous stimulation of solids, fluids and fractures geomechanical equations were numerically analyzed as a developed 3D model. To do this, the Abacus software was used as a multi-objective program to solve the physical-mechanical symmetry law governing equations, according to the finite element method. Two different layers, A (3104–2984 m) and B (4216–4326 m), are considered in the model. According to the result of this study, the maximum fracture opening length in the connection of the wall surface is 10 and 9 mm for layer B and layer A, respectively. Moreover, the internal fracture fluid pressure for layer B and layer A is 65 and 53 Mpa. It is indicated that fracture fluid pressure reduced with the increase in fracture propagation length. Consequently, the results of this study would be of benefit for petroleum industries to consider several crucial geomechanical characteristics in hydraulic fractures simultaneously as a developed numerical model for different formation layers to compare a comprehensive analysis between each layer.https://www.mdpi.com/2073-8994/12/7/1122hydraulic fracturingsymmetry lawfinite element methodAbacus softwareinternal fracture fluid pressure |
| spellingShingle | Shanhui Sun Meihua Zhou Wei Lu Afshin Davarpanah Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element Method Symmetry hydraulic fracturing symmetry law finite element method Abacus software internal fracture fluid pressure |
| title | Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element Method |
| title_full | Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element Method |
| title_fullStr | Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element Method |
| title_full_unstemmed | Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element Method |
| title_short | Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element Method |
| title_sort | application of symmetry law in numerical modeling of hydraulic fracturing by finite element method |
| topic | hydraulic fracturing symmetry law finite element method Abacus software internal fracture fluid pressure |
| url | https://www.mdpi.com/2073-8994/12/7/1122 |
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