Nonlocal peridynamic method for porous media seepage simulation
Based on the establishment of peridynamic nonlocal porous media seepage model, several kernel functions reflecting the degree of nonlocal effect are introduced to improve the calculation accuracy, and the peridynamic permeability coefficients corresponding to different kernel functions are derived....
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717
2021-11-01
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| Series: | Rock and Soil Mechanics |
| Subjects: | |
| Online Access: | http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2021.5340 |
| _version_ | 1811313297510629376 |
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| author | MA Peng-fei LI Shu-chen WANG Xiu-wei ZHOU Hui-ying WANG Man-ling ZHAO Yi-min |
| author_facet | MA Peng-fei LI Shu-chen WANG Xiu-wei ZHOU Hui-ying WANG Man-ling ZHAO Yi-min |
| author_sort | MA Peng-fei |
| collection | DOAJ |
| description | Based on the establishment of peridynamic nonlocal porous media seepage model, several kernel functions reflecting the degree of nonlocal effect are introduced to improve the calculation accuracy, and the peridynamic permeability coefficients corresponding to different kernel functions are derived. In the two-dimensional seepage model, the Weibull-distributed permeability coefficient model and the fracture network seepage model are established to realize the heterogeneous seepage in porous media matrix and fracture, respectively, which make up for the shortage of classical peridynamic model that cannot well simulate the heterogeneous seepage in porous media such as rock and soil. Different kernel function models are tested in simulating one-dimensional seepage problems, and the influence of kernel functions on simulation results is analyzed. The results show that the improved model can well converge to the theoretical solution, and the polynomial kernel function has the highest convergence accuracy relative to other kernel functions. Then, the polynomial kernel function is introduced into the two-dimensional model, and the corresponding two-dimensional permeability coefficient is derived. The proposed heterogeneous seepage model is employed in the simulation of two-dimensional seepage in porous media with and without fracture, and the simulation results show that the proposed model can well simulate the heterogeneous seepage process in rock materials, proposing a wide application prospect in porous media seepage simulation. |
| first_indexed | 2024-04-13T10:52:17Z |
| format | Article |
| id | doaj.art-596cba0eb2304f729629e710bf954fac |
| institution | Directory Open Access Journal |
| issn | 1000-7598 |
| language | English |
| last_indexed | 2024-04-13T10:52:17Z |
| publishDate | 2021-11-01 |
| publisher | SCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717 |
| record_format | Article |
| series | Rock and Soil Mechanics |
| spelling | doaj.art-596cba0eb2304f729629e710bf954fac2022-12-22T02:49:38ZengSCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717Rock and Soil Mechanics1000-75982021-11-0142113147315610.16285/j.rsm.2021.5340Nonlocal peridynamic method for porous media seepage simulation MA Peng-fei0LI Shu-chen1WANG Xiu-wei2ZHOU Hui-ying3WANG Man-ling4ZHAO Yi-min 5Geotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, ChinaGeotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, ChinaGeotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, ChinaGeotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, ChinaGeotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, ChinaGeotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, ChinaBased on the establishment of peridynamic nonlocal porous media seepage model, several kernel functions reflecting the degree of nonlocal effect are introduced to improve the calculation accuracy, and the peridynamic permeability coefficients corresponding to different kernel functions are derived. In the two-dimensional seepage model, the Weibull-distributed permeability coefficient model and the fracture network seepage model are established to realize the heterogeneous seepage in porous media matrix and fracture, respectively, which make up for the shortage of classical peridynamic model that cannot well simulate the heterogeneous seepage in porous media such as rock and soil. Different kernel function models are tested in simulating one-dimensional seepage problems, and the influence of kernel functions on simulation results is analyzed. The results show that the improved model can well converge to the theoretical solution, and the polynomial kernel function has the highest convergence accuracy relative to other kernel functions. Then, the polynomial kernel function is introduced into the two-dimensional model, and the corresponding two-dimensional permeability coefficient is derived. The proposed heterogeneous seepage model is employed in the simulation of two-dimensional seepage in porous media with and without fracture, and the simulation results show that the proposed model can well simulate the heterogeneous seepage process in rock materials, proposing a wide application prospect in porous media seepage simulation.http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2021.5340porous mediaperidynamicsnonlocal methodseepage simulation |
| spellingShingle | MA Peng-fei LI Shu-chen WANG Xiu-wei ZHOU Hui-ying WANG Man-ling ZHAO Yi-min Nonlocal peridynamic method for porous media seepage simulation Rock and Soil Mechanics porous media peridynamics nonlocal method seepage simulation |
| title | Nonlocal peridynamic method for porous media seepage simulation |
| title_full | Nonlocal peridynamic method for porous media seepage simulation |
| title_fullStr | Nonlocal peridynamic method for porous media seepage simulation |
| title_full_unstemmed | Nonlocal peridynamic method for porous media seepage simulation |
| title_short | Nonlocal peridynamic method for porous media seepage simulation |
| title_sort | nonlocal peridynamic method for porous media seepage simulation |
| topic | porous media peridynamics nonlocal method seepage simulation |
| url | http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2021.5340 |
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