考虑3种非线性关系的径向排水固结解析解

摘要

Most analytical solutions of sand and wick drains are combined with onedimensional consolidationtheory.The soil is considered as a linear poroelastic solid.But researches show that,under the isotropicconsolidation,the average effective stress and permeability coefficient both have semilogarithmic relationships withthe void ratio.At the same time,experiments show that the permeability around PVD in smear zone is distributed inparabolic form.Therefore,to consider the effects of these three nonlinear relationships,the analytical solution tothis problem is derived in this paper.Correctness of this analytical solution is verified through degradation method.In addition,effects of parameters of Cc /Ck and κon consolidation are analyzed.The results show that the rate ofconsolidation under Cc /Ck<1 is faster than that of Cc /Ck>1 ;and the rate of consolidation decreases with the growthof κ.%大部分砂井及排水板固结解析解理论结合了太沙基一维固结理论，把土体考虑成线弹性问题，而研究发现，软土在等向固结条件下平均有效应力和水平渗透系数与孔隙比成半对数线性关系。同时，实验表明，在塑料排水板周围的涂抹区中水平渗透系数成抛物线状分布。因此，为了充分考虑这些非线性的影响，推导出了该问题的解析解，并通过退化验证了该解析解的正确性。同时，还对参数 Cc／Ck和κ对固结速率的影响进行了分析，结果表明：当 Cc／Ck＜1时，固结速率较快；当Cc／Ck＞1时，固结速率较慢；参数κ增加，固结速率逐渐变小。