Abstract In this paper, the governing equations and semi-analytical solutions are proposed to investigate the consolidation behavior of unsaturated composite ground with the permeable columns. Based on the stress and strain equilibrium conditions of composite ground and the strain–stress relations of unsaturated soils under the axisymmetric condition, a set of the basic equations are proposed for describing the strain–stress relations of soil element, air and water phases of unsaturated soils in the composite ground. Then, two consolidation equations for air and water phases are derived considering the continuity of pore volume change, and flow laws for air and water phases under the axisymmetric condition. Correspondingly, the semi-analytical solutions of the consolidation equations are proposed by using the Laplace and finite Hankel transforms. The proposed governing equations as well as the semi-analytical solutions are verified by checking against the existing ones for a special case in the literature. Finally, a parametric study is performed to investigate the consolidation behavior with different parameters for the permeable columns and surrounding unsaturated soils.

中文翻译：

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透水柱加固非饱和复合地基固结

摘要 本文提出控制方程和半解析解，研究透水柱非饱和复合地基的固结行为。根据复合地基应力应变平衡条件和轴对称条件下非饱和土的应变-应力关系，提出了一套描述非饱和土元素、空气和水相应变-应力关系的基本方程。复合地基中的土壤。然后，考虑孔隙体积变化的连续性，以及轴对称条件下空气和水相的流动规律，推导出空气和水相的两个固结方程。相应地，利用拉普拉斯变换和有限汉克尔变换提出了固结方程的半解析解。所提出的控制方程以及半解析解通过与文献中的特殊情况对照现有的来验证。最后，进行参数研究以研究不同参数下渗透柱和周围非饱和土的固结行为。