Analytical solution to consolidation of unsaturated soil by vertical drains with continuous permeable boundary
In this paper, based on the axisymmetric consolidation theory of unsaturated soil and equal-strain assumption, an analytical solution using the homogenization of boundary conditions and eigenfunction method is proposed to three-dimensional consolidation of unsaturated soil enhanced by vertical drain...
| 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
2021-05-01
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| Series: | Rock and Soil Mechanics |
| Subjects: | |
| Online Access: | http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2020.6301 |
| _version_ | 1811221270911516672 |
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| author | QIN Ai-fang JIANG Liang-hua XU Wei-fang MEI Guo-xiong |
| author_facet | QIN Ai-fang JIANG Liang-hua XU Wei-fang MEI Guo-xiong |
| author_sort | QIN Ai-fang |
| collection | DOAJ |
| description | In this paper, based on the axisymmetric consolidation theory of unsaturated soil and equal-strain assumption, an analytical solution using the homogenization of boundary conditions and eigenfunction method is proposed to three-dimensional consolidation of unsaturated soil enhanced by vertical drains under instantaneous loading, in which the continuous permeable boundary conditions are properly introduced. Then, the proposed solution is verified by the special cases of double drainage boundary conditions. Finally, the solution is analyzed using examples and the results show that the proposed solution can be used to simulate the arbitrary distribution of permeability of the top and bottom boundary by setting reasonable interface parameters, which makes up for the problem that the permeability of the top and bottom boundary is between pervious and impervious condition or follows an asymmetric distribution. In addition, with a proper ratio of influence radius to drainage well radius and appropriate depth of vertical drain, the influence of vertical flows on the dissipation of excess pore pressures is small when the ratio of radial to vertical permeability coefficient is greater than two. Last but not the least, the above influence of excess pore pressures is more obvious with the enhancement of the permeability of the top and bottom boundary considering the vertical flows. |
| first_indexed | 2024-04-12T07:56:27Z |
| format | Article |
| id | doaj.art-5ed4028c099740d6ac11f0be516b3ac8 |
| institution | Directory Open Access Journal |
| issn | 1000-7598 |
| language | English |
| last_indexed | 2024-04-12T07:56:27Z |
| publishDate | 2021-05-01 |
| publisher | SCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717 |
| record_format | Article |
| series | Rock and Soil Mechanics |
| spelling | doaj.art-5ed4028c099740d6ac11f0be516b3ac82022-12-22T03:41:28ZengSCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717Rock and Soil Mechanics1000-75982021-05-014251345135410.16285/j.rsm.2020.6301Analytical solution to consolidation of unsaturated soil by vertical drains with continuous permeable boundaryQIN Ai-fang0JIANG Liang-hua1XU Wei-fang2 MEI Guo-xiong3Department of Civil Engineering, Shanghai University, Shanghai 200072, China Department of Civil Engineering, Shanghai University, Shanghai 200072, China Department of Civil Engineering, Shanghai University, Shanghai 200072, China School of Transportation Engineering, Nanjing Tech University, Nanjing, Jiangsu 210029, ChinaIn this paper, based on the axisymmetric consolidation theory of unsaturated soil and equal-strain assumption, an analytical solution using the homogenization of boundary conditions and eigenfunction method is proposed to three-dimensional consolidation of unsaturated soil enhanced by vertical drains under instantaneous loading, in which the continuous permeable boundary conditions are properly introduced. Then, the proposed solution is verified by the special cases of double drainage boundary conditions. Finally, the solution is analyzed using examples and the results show that the proposed solution can be used to simulate the arbitrary distribution of permeability of the top and bottom boundary by setting reasonable interface parameters, which makes up for the problem that the permeability of the top and bottom boundary is between pervious and impervious condition or follows an asymmetric distribution. In addition, with a proper ratio of influence radius to drainage well radius and appropriate depth of vertical drain, the influence of vertical flows on the dissipation of excess pore pressures is small when the ratio of radial to vertical permeability coefficient is greater than two. Last but not the least, the above influence of excess pore pressures is more obvious with the enhancement of the permeability of the top and bottom boundary considering the vertical flows.http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2020.6301unsaturated soilanalytical solutioncontinuous permeable boundarythree-dimensional consolidationvertical drain |
| spellingShingle | QIN Ai-fang JIANG Liang-hua XU Wei-fang MEI Guo-xiong Analytical solution to consolidation of unsaturated soil by vertical drains with continuous permeable boundary Rock and Soil Mechanics unsaturated soil analytical solution continuous permeable boundary three-dimensional consolidation vertical drain |
| title | Analytical solution to consolidation of unsaturated soil by vertical drains with continuous permeable boundary |
| title_full | Analytical solution to consolidation of unsaturated soil by vertical drains with continuous permeable boundary |
| title_fullStr | Analytical solution to consolidation of unsaturated soil by vertical drains with continuous permeable boundary |
| title_full_unstemmed | Analytical solution to consolidation of unsaturated soil by vertical drains with continuous permeable boundary |
| title_short | Analytical solution to consolidation of unsaturated soil by vertical drains with continuous permeable boundary |
| title_sort | analytical solution to consolidation of unsaturated soil by vertical drains with continuous permeable boundary |
| topic | unsaturated soil analytical solution continuous permeable boundary three-dimensional consolidation vertical drain |
| url | http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2020.6301 |
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