岩土力学 ›› 2022, Vol. 43 ›› Issue (S1): 97-106.doi: 10.16285/j.rsm.2021.2137

• 基础理论与实验研究 • 上一篇    下一篇

电渗−堆载作用下非饱和土轴对称固结特性分析

秦爱芳,孟红苹,江良华   

  1. 上海大学 力学与工程科学学院,上海 200444
  • 收稿日期:2021-12-20 修回日期:2022-03-31 出版日期:2022-06-30 发布日期:2022-07-13
  • 作者简介:秦爱芳,女,1966年生,博士,教授,主要从事非饱和土固结、核废料地质处置方面的研究。
  • 基金资助:
    国家自然科学基金面上项目(No.42072292)。

Analysis of axisymmetric consolidation characteristics of unsaturated soils under surcharge loading and electro-osmosis

QIN Ai-fang, MENG Hong-ping, JIANG Liang-hua   

  1. School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China
  • Received:2021-12-20 Revised:2022-03-31 Online:2022-06-30 Published:2022-07-13
  • Supported by:
    This work was supported by the General Program of National Natural Science Foundation of China(42072292).

摘要: 地基处理中,电渗常与堆载预压联合使用。基于Fredlund非饱和土三维固结理论和Esrig电渗固结理论及等应变假设,推导出电流场与渗流场耦合作用下,考虑径竖向渗流及涂抹效应的轴对称固结控制方程;利用Laplace变换、解耦技术及Laplace逆变换等方法,得到了时域内的半解析解。然后,将所得解分别退化至饱和土中考虑电渗−堆载联合和非饱和土中仅考虑堆载这两种情况与已有文献结果对比,验证了研究方法的可靠性。最后,通过算例研究有效电压、电−水力渗透系数比和涂抹系数对非饱和土轴对称电渗固结特性的影响。结果表明:超孔隙水压最终产生的负孔压与有效电压成正比;电渗−堆载联合下的非饱和土地基固结可分为两个阶段,分别主要受堆载和电渗影响;电渗联合堆载处理地基时的最终沉降是两种作用分别处理地基时的最终沉降之和,且对于低渗透性的土体,其固结速率将显著提高;此外,施加电压后涂抹系数在同区间内,超孔隙水压消散的速率差距比不考虑电压时的大,且涂抹系数越小,最终产生的负孔隙水压越大。

关键词: 电渗, 非饱和土, 涂抹效应, 变荷载, 半解析解

Abstract: Electro-osmosis is frequently used in combination with surcharge loading in foundation treatment. Based on Fredlund’s three-dimensional consolidation theory of unsaturated soil, Esrig’s electro-osmosis consolidation theory and the equal-strain assumption, the governing equations of axisymmetric consolidation considering the radial-vertical flow and smear effect under the coupled electrical and flow field are derived. The semi-analytical solution in the time domain is obtained using Laplace transform, decoupling technology and Laplace inverse transform. Then, the solution of this paper is degraded to the two cases of considering the combined electro-osmotic and surcharge preloading in saturated soil and considering only the load in unsaturated soil respectively to compare with the existing solutions to verify the reliability of the solution in this study. Finally, the effects of the parameters such as effective voltage, electro-hydraulic permeability coefficient ratio, and smear coefficient on the axisymmetric consolidation characteristics of unsaturated soils are investigated by arithmetic examples. The results show that the negative pore pressure finally generated by excess pore-water pressure is proportional to the effective voltage; the consolidation of unsaturated soil under electro-osmosis and surcharge preloading can be divided into two stages, which are mainly affected by loading and electro-osmosis; the settlement of the foundation treated by electro-osmotic and surcharge preloading is the sum of the settlements when the two actions treat the foundation separately, and for the soil with low permeability, the consolidation rate will be significantly increased. Furthermore, the difference in the rate of excess pore-water pressure dissipation in the same interval of the smear coefficient after applying voltage is larger than that when voltage is not considered, and the smaller the smear coefficient is, the greater the negative pore-water pressure finally generates.

Key words: electro-osmosis, unsaturated soil, smear effect, time-varying load, semi-analytical solution

中图分类号: TU43
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