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| Analytical solution for nonlinear consolidation of sand-drained ground considering time-dependent well resistance |
| JIANG Wenhao1,2,ZHAN Liangtong1,2 |
| (1. Institute of Geotechnical Engineering,Zhejiang University,Hangzhou,Zhejiang 310058,China;2. Key Laboratory of Soft Soils and Geoenvironmental Engineering of Ministry of Education,Zhejiang University,Hangzhou,Zhejiang 310058,China) |
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Abstract Aiming at that the permeability coefficient of sand drains will gradually decrease in the consolidation process of sand-drained ground,e-lgand e-lglogarithmic models are introduced to describe the nonlinear consolidation characteristics of soils in this paper,and considering the time-dependent well resistance and the variation of the radial permeability coefficient in the smear zone,a governing equation for nonlinear consolidation of sand-drained ground is derived and the corresponding analytical solution is obtained by using the separation variable method. The correctness of the solution is verified by the degradation study and the comparative analysis with the existing analytical solution. Based on the analytical solution,the nonlinear consolidation behaviors of sand-drained ground are investigated. The results show that the consolidation rate of sand-drained ground decreases with increasing the well resistance factor,and the time-dependent well resistance mainly affects the consolidation rate in the later stage. Among the three change modes of the radial permeability coefficient in the smear zone,the parabolic mode has the fastest consolidation rate,followed by the linear mode and then the constant mode. The higher the ratio of the compression index to the permeability index,the slower the consolidation rate of sand-drained ground. Under the nonlinear compression relationship,the average consolidation degree defined by the pore pressure is always slower than the average consolidation degree defined by the settlement in the consolidation process of sand-drained ground.
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