秦爱芳, 郑青青, 江良华. 统一边界条件下非饱和土一维固结理论研究[J]. 工程力学, 2024, 41(3): 63-72. DOI: 10.6052/j.issn.1000-4750.2022.04.0277
引用本文: 秦爱芳, 郑青青, 江良华. 统一边界条件下非饱和土一维固结理论研究[J]. 工程力学, 2024, 41(3): 63-72. DOI: 10.6052/j.issn.1000-4750.2022.04.0277
QIN Ai-fang, ZHENG Qing-qing, JIANG Liang-hua. STUDY ON ONE-DIMENSIONAL CONSOLIDATION THEORY OF UNSATURATED SOIL WITH GENERAL BOUNDARY CONDITIONS[J]. Engineering Mechanics, 2024, 41(3): 63-72. DOI: 10.6052/j.issn.1000-4750.2022.04.0277
Citation: QIN Ai-fang, ZHENG Qing-qing, JIANG Liang-hua. STUDY ON ONE-DIMENSIONAL CONSOLIDATION THEORY OF UNSATURATED SOIL WITH GENERAL BOUNDARY CONDITIONS[J]. Engineering Mechanics, 2024, 41(3): 63-72. DOI: 10.6052/j.issn.1000-4750.2022.04.0277

统一边界条件下非饱和土一维固结理论研究

STUDY ON ONE-DIMENSIONAL CONSOLIDATION THEORY OF UNSATURATED SOIL WITH GENERAL BOUNDARY CONDITIONS

  • 摘要: 非饱和土固结理论中的边界条件对土体的固结有着重要的影响,它反映了土体在固结过程中边界的透气透水状态。针对实际工程中边界条件的复杂多样性,该文引入一个统一形式边界条件,构建了一个在瞬时均布荷载作用下,由顶面统一边界、底面完全不渗透边界组成的非饱和土一维固结计算模型。基于Fredlund非饱和土一维固结理论,采用Laplace变换等方法得到了Laplace域内超孔隙压力的解,再通过Laplace逆变换得到了时间域内相应解答。运用一个典型算例,设置合理的边界参数,将统一边界条件下的半解析解退化到几种常规边界条件下的解与文献中已有的结果进行比较,验证了所得解的正确性,并对非饱和土一维固结特性进行了简要分析。研究结果表明:统一边界条件下的半解析解相当于一个通解,具有广泛的适用性;通过改变相关边界参数的取值,可以模拟土层边界条件由完全不渗透到完全渗透的变化过程;固结过程中,边界条件对超孔隙气压力和超孔隙水压力的消散影响很大。因此,该文的研究具有一定的学术价值,所得的半解析解对不同边界条件下的实际工程具有参考价值。

     

    Abstract: The boundary conditions of unsaturated soil consolidation have an important effect on the consolidation theory, which reflects the exhaust and drainage state of soil boundary during the consolidation process. For the complexity and diversity of boundary conditions in practical engineering, the general boundary conditions of single-layer unsaturated soil are introduced in this paper, and a calculation model for one-dimensional consolidation with general boundary condition at the top and completely impermeable boundary condition at the bottom is established under instantaneous loading. Based on the Fredlund's one-dimensional consolidation theory, the solutions of excess pore presures are derived by applying the Laplace transform, and then the corresponding solutions in the time domain are obtained through inverse Laplace transform. An example is studied with reasonable boundary parameters, and the semi-analytical solutions are degenerated into several kinds of solutions in conventional conditions. The solutions are compared with the results from previous literature in order to verify the accuracy of the solutions, and the consolidation behaviors of unsaturated soil at different conditions are illustrated. The results show that the semi-analytical solutions under general boundary conditions are equivalent to a general solution with broad applicability. By changing the value of the relevant boundary parameters, the change process from completely impermeable boundary to fully permeable boundary can be simulated. During the consolidation, dissipation process of excess pore air pressure and excess pore water pressure is affected by boundary conditions. The semi-analytical solutions in this paper can be used for practical engineering under different boundary conditions.

     

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