Damage Model for Reservoirs with Multisets of Natural Fractures and Its Application in the Simulation of Hydraulic Fracturing
The presence of natural fractures can significantly affect the quality of hydraulic fracturing operations in tightsand and shale or oil/gas formations. This paper describes the procedure used to model natural fractures with continuum damage tensor and the resulting orthotropic permeability tensor. A...
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MDPI AG
2022-02-01
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Online Access: | https://www.mdpi.com/1996-1073/15/4/1462 |
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author | Huifang Hu Tian Shen Naiyuan Zheng Xinpu Shen Jinbiao Yu |
author_facet | Huifang Hu Tian Shen Naiyuan Zheng Xinpu Shen Jinbiao Yu |
author_sort | Huifang Hu |
collection | DOAJ |
description | The presence of natural fractures can significantly affect the quality of hydraulic fracturing operations in tightsand and shale or oil/gas formations. This paper describes the procedure used to model natural fractures with continuum damage tensor and the resulting orthotropic permeability tensor. A damage model that uses damage variable in tensor form is presented. In the procedure presented, a nonnegligible angle is assumed to exist between directions of principal stresses in the formation and in the natural-fractures-related damage tensor, and this difference in orientation is modeled by introducing local directions in the model. A damage-dependent permeability tensor in tabular form is then proposed. A second case scenario when the directions of principal stresses and natural fractures align is also analyzed. Numerical results of fracture distribution are presented for both cases, and differences can be seen from the computed contour of the damage variable. The results indicate that the model can effectively simulate the fracture propagation phenomena during hydraulic fracturing. |
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id | doaj.art-0b62f0978ee94ef18e92183ff2c50645 |
institution | Directory Open Access Journal |
issn | 1996-1073 |
language | English |
last_indexed | 2024-03-09T22:03:11Z |
publishDate | 2022-02-01 |
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series | Energies |
spelling | doaj.art-0b62f0978ee94ef18e92183ff2c506452023-11-23T19:44:31ZengMDPI AGEnergies1996-10732022-02-01154146210.3390/en15041462Damage Model for Reservoirs with Multisets of Natural Fractures and Its Application in the Simulation of Hydraulic FracturingHuifang Hu0Tian Shen1Naiyuan Zheng2Xinpu Shen3Jinbiao Yu4State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Beijing 100083, ChinaCNISCO, Shanghai University of Political Science and Law, Shanghai 201701, ChinaExploration and Development Research Institute, Shengli Oilfield, SINOPEC, Dongying 257015, ChinaSchool of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaExploration and Development Research Institute, Shengli Oilfield, SINOPEC, Dongying 257015, ChinaThe presence of natural fractures can significantly affect the quality of hydraulic fracturing operations in tightsand and shale or oil/gas formations. This paper describes the procedure used to model natural fractures with continuum damage tensor and the resulting orthotropic permeability tensor. A damage model that uses damage variable in tensor form is presented. In the procedure presented, a nonnegligible angle is assumed to exist between directions of principal stresses in the formation and in the natural-fractures-related damage tensor, and this difference in orientation is modeled by introducing local directions in the model. A damage-dependent permeability tensor in tabular form is then proposed. A second case scenario when the directions of principal stresses and natural fractures align is also analyzed. Numerical results of fracture distribution are presented for both cases, and differences can be seen from the computed contour of the damage variable. The results indicate that the model can effectively simulate the fracture propagation phenomena during hydraulic fracturing.https://www.mdpi.com/1996-1073/15/4/1462natural fracturesreservoircontinuum damage mechanicshydraulic fracturingpermeability |
spellingShingle | Huifang Hu Tian Shen Naiyuan Zheng Xinpu Shen Jinbiao Yu Damage Model for Reservoirs with Multisets of Natural Fractures and Its Application in the Simulation of Hydraulic Fracturing Energies natural fractures reservoir continuum damage mechanics hydraulic fracturing permeability |
title | Damage Model for Reservoirs with Multisets of Natural Fractures and Its Application in the Simulation of Hydraulic Fracturing |
title_full | Damage Model for Reservoirs with Multisets of Natural Fractures and Its Application in the Simulation of Hydraulic Fracturing |
title_fullStr | Damage Model for Reservoirs with Multisets of Natural Fractures and Its Application in the Simulation of Hydraulic Fracturing |
title_full_unstemmed | Damage Model for Reservoirs with Multisets of Natural Fractures and Its Application in the Simulation of Hydraulic Fracturing |
title_short | Damage Model for Reservoirs with Multisets of Natural Fractures and Its Application in the Simulation of Hydraulic Fracturing |
title_sort | damage model for reservoirs with multisets of natural fractures and its application in the simulation of hydraulic fracturing |
topic | natural fractures reservoir continuum damage mechanics hydraulic fracturing permeability |
url | https://www.mdpi.com/1996-1073/15/4/1462 |
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