A Novel Deformation Analytical Solution and Constitutive Model for Fractured Rock Masses
In order to study the deformation and stability of a fractured rock mass, existing research suggests that fracture deformation, which is usually obtained by evaluating the equivalent deformation modulus, dominates the deformation of a fractured rock mass. However, this parameter is difficult to obta...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-12-01
|
| Series: | Journal of Marine Science and Engineering |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2077-1312/11/12/2351 |
| _version_ | 1827574445025263616 |
|---|---|
| author | Zeqi Zhu Lan Cui Youkou Dong Qian Sheng Kaiwei Tian Zhenshan Guo |
| author_facet | Zeqi Zhu Lan Cui Youkou Dong Qian Sheng Kaiwei Tian Zhenshan Guo |
| author_sort | Zeqi Zhu |
| collection | DOAJ |
| description | In order to study the deformation and stability of a fractured rock mass, existing research suggests that fracture deformation, which is usually obtained by evaluating the equivalent deformation modulus, dominates the deformation of a fractured rock mass. However, this parameter is difficult to obtain in theory and practice, which limits the application of rock mass deformation analysis methods. In order to calculate the deformation of fractured rock masses, the mass of the rock is regarded as a sponge-like material, and it is assumed that the deformation of a water-saturated fractured rock mass under external force load is approximately equal to the net flow of fracture water. Based on this assumption, firstly, the relationship between rock mass deformation and fracture flow is studied through a single-fracture rock mass model. The hydraulic properties of the fracture are characterized by the permeability coefficient, and the fracture deformation in the rock mass is equivalent to the fracture flow. The fracture deformation calculation formula is derived from the fracture hydraulics calculation formula, and this is compared with the measured data. The rationality of the calculation formula was verified. On this basis, the calculation formula for rock mass deformation, including multiple groups of fracture surfaces, is proposed, and the stress-strain constitutive relationship of a complex rock mass is established. The correctness of the calculation method was verified by comparing it with other theoretical calculation results. |
| first_indexed | 2024-03-08T20:38:19Z |
| format | Article |
| id | doaj.art-d85500b651f94b00ab9ba31768baeb08 |
| institution | Directory Open Access Journal |
| issn | 2077-1312 |
| language | English |
| last_indexed | 2024-03-08T20:38:19Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Marine Science and Engineering |
| spelling | doaj.art-d85500b651f94b00ab9ba31768baeb082023-12-22T14:19:01ZengMDPI AGJournal of Marine Science and Engineering2077-13122023-12-011112235110.3390/jmse11122351A Novel Deformation Analytical Solution and Constitutive Model for Fractured Rock MassesZeqi Zhu0Lan Cui1Youkou Dong2Qian Sheng3Kaiwei Tian4Zhenshan Guo5State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, ChinaState Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, ChinaCollege of Marine Science and Technology, China University of Geosciences, Wuhan 430074, ChinaState Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, ChinaState Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, ChinaKey Laboratory of Highway Construction and Maintenance Technology in Loess Region of Ministry of Transport, Taiyuan 030032, ChinaIn order to study the deformation and stability of a fractured rock mass, existing research suggests that fracture deformation, which is usually obtained by evaluating the equivalent deformation modulus, dominates the deformation of a fractured rock mass. However, this parameter is difficult to obtain in theory and practice, which limits the application of rock mass deformation analysis methods. In order to calculate the deformation of fractured rock masses, the mass of the rock is regarded as a sponge-like material, and it is assumed that the deformation of a water-saturated fractured rock mass under external force load is approximately equal to the net flow of fracture water. Based on this assumption, firstly, the relationship between rock mass deformation and fracture flow is studied through a single-fracture rock mass model. The hydraulic properties of the fracture are characterized by the permeability coefficient, and the fracture deformation in the rock mass is equivalent to the fracture flow. The fracture deformation calculation formula is derived from the fracture hydraulics calculation formula, and this is compared with the measured data. The rationality of the calculation formula was verified. On this basis, the calculation formula for rock mass deformation, including multiple groups of fracture surfaces, is proposed, and the stress-strain constitutive relationship of a complex rock mass is established. The correctness of the calculation method was verified by comparing it with other theoretical calculation results.https://www.mdpi.com/2077-1312/11/12/2351sponge-like materialanalytical solutionfracture hydraulicsdeformation of fractured rock mass |
| spellingShingle | Zeqi Zhu Lan Cui Youkou Dong Qian Sheng Kaiwei Tian Zhenshan Guo A Novel Deformation Analytical Solution and Constitutive Model for Fractured Rock Masses Journal of Marine Science and Engineering sponge-like material analytical solution fracture hydraulics deformation of fractured rock mass |
| title | A Novel Deformation Analytical Solution and Constitutive Model for Fractured Rock Masses |
| title_full | A Novel Deformation Analytical Solution and Constitutive Model for Fractured Rock Masses |
| title_fullStr | A Novel Deformation Analytical Solution and Constitutive Model for Fractured Rock Masses |
| title_full_unstemmed | A Novel Deformation Analytical Solution and Constitutive Model for Fractured Rock Masses |
| title_short | A Novel Deformation Analytical Solution and Constitutive Model for Fractured Rock Masses |
| title_sort | novel deformation analytical solution and constitutive model for fractured rock masses |
| topic | sponge-like material analytical solution fracture hydraulics deformation of fractured rock mass |
| url | https://www.mdpi.com/2077-1312/11/12/2351 |
| work_keys_str_mv | AT zeqizhu anoveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT lancui anoveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT youkoudong anoveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT qiansheng anoveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT kaiweitian anoveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT zhenshanguo anoveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT zeqizhu noveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT lancui noveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT youkoudong noveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT qiansheng noveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT kaiweitian noveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses AT zhenshanguo noveldeformationanalyticalsolutionandconstitutivemodelforfracturedrockmasses |