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考虑起始水力坡降的软黏土流变固结解析解 预览

Analytical Solution for Rheological Consolidation of Soft Clay with Threshold Hydraulic Gradient
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摘要 软黏土中渗流存在的起始水力坡降会对固结性状有重要影响已逐渐被认识。但能同时考虑起始水力坡降及软黏土流变特性的固结理论仍鲜见报道,对其解析解的研究更为罕见。针对现有理论的不足,考虑软黏土中渗流存在的起始水力坡降及黏性土的流变特性,基于太沙基1维固结理论建立其控制方程,应用拉普拉斯变换获得其解析解。目前存在的考虑起始水力坡降的线性固结解析解和达西定律下考虑流变模型的固结解析解均是本文解的特例,且本文所得解析解与相应差分解的计算结果十分相近。基于该解析解着重分析了起始水力坡降和不同流变模型对固结性状的影响。结果表明:考虑软黏土流变特性后,起始水力坡降(i0)、土层厚度(H)与外荷载(q0)的比值(R)对固结性状的影响并未发生明显改变;R值越大,移动边界到达土层底面所需时间越长,相同时刻土中残留的超静孔压值越大,土层平均固结度越小。考虑流变特性后,移动边界到达土层底面的条件发生改变。如果流变模型参数取值相同,不同流变模型下软黏土固结初期超静孔压消散曲线基本重合,移动边界随时间的下移曲线亦基本重合;固结后期超静孔压消散曲线虽略有差异,但其对计算结果影响甚微,可忽略。 The influence of a threshold gradient of water flow in soft clays on consolidation behavior has been gradually recognized.However,the consolidation theory with consideration of a threshold hydraulic gradient and rheological characteristics has rarely been reported in the literature so far,and especially the analytical solution for this problem has never been studied.In view of the deficiency in consolidation theories,the governing equation for one-dimensional consolidation of the clay with consideration of the threshold gradient and rheological characteristics is developed on the basis of Terzaghi’s theory for one-dimensional consolidation.An analytical solution for the governing equation is obtained by the method of Laplace transform.The analytical solutions for one-dimensional consolidation derived so far considering either a threshold gradient or a rheological model are all special cases of the solution derived herein.Based on the solution proposed in this study,the influences of the threshold hydraulic gradient and different rheological models on consolidation behavior are investigated.The results show that the influences of the ratio of the threshold gradient(i0)and the thickness of clay layer(H)to the load(q0)on consolidation behavior with consideration of rheological characteristic do not evidently change comparing to that under consideration of linear elastic model.The larger R is,the longer it takes for the moving boundary to reach the bottom of the layer,and the larger the ultimate value of excess pore water pressure is,and the smaller the ultimate average degree of consolidation is.Moreover,the condition that the moving boundary reaches the bottom of the layer differs with that with no consideration of rheological characteristic.If the same parameters of different rheology models are adopted,the dissipation curves of excess pore water pressure and the variation of moving boundary with time under different rheology models are almost same at the early stage of consolidation.At the late stage of consoli
作者 李传勋 马浩天 金丹丹 LI Chuanxun;MA Haotian;JIN Dandan(Faculty of Civil Eng.and Mechanics,Jiangsu Univ.,Zhenjiang 212013,China)
出处 《工程科学与技术》 EI CAS CSCD 北大核心 2019年第2期53-60,共8页 Journal of Sichuan University (Engineering Science Edition)
基金 国家自然科学基金资助项目(51878320)。
关键词 软黏土 起始水力坡降 移动边界 流变固结 解析解 soft clay threshold hydraulic gradient moving boundary rheological consolidation analytical solution
作者简介 李传勋(1978-),男,副教授.研究方向:岩土工程.E-mail:lichuanxun@yeah.net.
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