Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional Derivative
Using an abandoned underground goaf in coal mines as water reservoirs has been successfully applied for protecting mine water resources in western China. The water storage media are composed of broken rock masses and the voids between the rock masses. It is critical for reservoir capacity calculatio...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2022/8553646 |
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| _version_ | 1832567514314309632 |
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| author | Lujun Wang Yang Wu Xiaoqian Zhu Peng Li Zhiguo Cao Huan Yang |
| author_facet | Lujun Wang Yang Wu Xiaoqian Zhu Peng Li Zhiguo Cao Huan Yang |
| author_sort | Lujun Wang |
| collection | DOAJ |
| description | Using an abandoned underground goaf in coal mines as water reservoirs has been successfully applied for protecting mine water resources in western China. The water storage media are composed of broken rock masses and the voids between the rock masses. It is critical for reservoir capacity calculation that the deformation characteristics and seepage evolution of the water storage media under triaxial stress are theoretically described. In this study, broken rock masses and the space among the rock masses are simplified as two springs in a series. The mechanical behavior of the broken rock mass is described by Hooke’s law of linear elasticity, and the deformation characteristics of the space among the rock masses are represented by a nonlinear elastic constitutive model. The nonlinear stress-strain constitutive model of the water storage media is established by combining Hooke’s law and the fractional derivative stress-strain model. Similarly, a non-Darcy seepage model of the water storage media is obtained. The nonlinear stress-strain model is verified by mechanical experiments, physical simulation tests, and field measured data, and parameter sensitivity analysis is performed. The non-Darcy seepage equation is fitted and analyzed by using the seepage experimental data of the broken rock mass under triaxial compression conditions. The fractional non-Darcy model rather than the Forchheimer equation can more accurately describe the nonlinear seepage process in water storage media. |
| format | Article |
| id | doaj-art-4fb598a160484659a877f3e5743faecb |
| institution | Kabale University |
| issn | 1468-8123 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-4fb598a160484659a877f3e5743faecb2025-02-03T01:01:21ZengWileyGeofluids1468-81232022-01-01202210.1155/2022/8553646Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional DerivativeLujun Wang0Yang Wu1Xiaoqian Zhu2Peng Li3Zhiguo Cao4Huan Yang5State Key Laboratory of Water Resource Protection and Utilization in Coal MiningState Key Laboratory of Water Resource Protection and Utilization in Coal MiningState Key Laboratory of Water Resource Protection and Utilization in Coal MiningState Key Laboratory of Water Resource Protection and Utilization in Coal MiningState Key Laboratory of Water Resource Protection and Utilization in Coal MiningSchool of Civil and Resources EngineeringUsing an abandoned underground goaf in coal mines as water reservoirs has been successfully applied for protecting mine water resources in western China. The water storage media are composed of broken rock masses and the voids between the rock masses. It is critical for reservoir capacity calculation that the deformation characteristics and seepage evolution of the water storage media under triaxial stress are theoretically described. In this study, broken rock masses and the space among the rock masses are simplified as two springs in a series. The mechanical behavior of the broken rock mass is described by Hooke’s law of linear elasticity, and the deformation characteristics of the space among the rock masses are represented by a nonlinear elastic constitutive model. The nonlinear stress-strain constitutive model of the water storage media is established by combining Hooke’s law and the fractional derivative stress-strain model. Similarly, a non-Darcy seepage model of the water storage media is obtained. The nonlinear stress-strain model is verified by mechanical experiments, physical simulation tests, and field measured data, and parameter sensitivity analysis is performed. The non-Darcy seepage equation is fitted and analyzed by using the seepage experimental data of the broken rock mass under triaxial compression conditions. The fractional non-Darcy model rather than the Forchheimer equation can more accurately describe the nonlinear seepage process in water storage media.http://dx.doi.org/10.1155/2022/8553646 |
| spellingShingle | Lujun Wang Yang Wu Xiaoqian Zhu Peng Li Zhiguo Cao Huan Yang Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional Derivative Geofluids |
| title | Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional Derivative |
| title_full | Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional Derivative |
| title_fullStr | Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional Derivative |
| title_full_unstemmed | Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional Derivative |
| title_short | Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional Derivative |
| title_sort | mechanical constitutive and seepage theoretical model of water storage media based on fractional derivative |
| url | http://dx.doi.org/10.1155/2022/8553646 |
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