Logistic模型在软黏土一维固结水力梯度预测中的应用
Research on Logistic Model of Hydraulic Gradient in One-Dimensional Consolidation of Saturated Clay
DOI: 10.12677/APF.2018.82004, PDF,    国家自然科学基金支持
作者: 李金柱：浙江大学宁波理工学院，浙江 宁波；兰 璐, 谢新宇：浙江大学宁波理工学院，浙江 宁波；浙江大学滨海和城市岩土工程研究中心，浙江 杭州
关键词: 饱和黏土；一维固结；水力梯度；Logistic模型；Saturated Clay； One-Dimensional Consolidation； Hydraulic Gradient； Logistic Model
摘要: 饱和土体固结过程中，排水速率与水力梯度正相关，研究水力梯度随时间的变化规律有助于了解固结速率的变化过程。以一维固结理论为基础，求取水力梯度随时间变化的曲线，并分析曲线上升段和下降段均呈S形的原因。拟合将复杂的水力梯度表达式拟合为Logistic函数，根据无量纲法确定函数各参数，建立水力梯度的Logistic模型。通过有限元模拟瞬时加载和线性加载两种工况下饱和黏土一维固结问题，得到两种工况下水力梯度变化曲线，并用Logistic函数进行拟合，拟合效果均较好。研究结果表明，水力梯度的Logistic模型不仅可定量描述Terzaghi一维固结的水力梯度变化规律，还适用于线性加载等工况。
Abstract: During the consolidation of saturated clay, the drainage rate is positively related to hydraulic gradient. The formula and changeable curve with time of hydraulic gradient are acquired based on Terzaghi’s one-dimensional consolidation, and the “S” type curve is explained in the paper. Logistic function is used instead of complex formula of hydraulic gradient through nonlinear fitting. The relationships between function parameters and soil consolidation parameters are defined to establish Logistic model. One-dimensional consolidation of saturated clay in instantaneous and linear loading conditions is simulated with FEM software, thus comparing changeable curves of hydraulic gradient in two conditions which fits well with Logistic function. The results indicate that Logistic model can not only quantitatively describe variation of hydraulic gradient in Terzaghi’s one-dimensional consolidation, but also other consolidation conditions such as linear loading.
文章引用：李金柱, 兰璐, 谢新宇. Logistic模型在软黏土一维固结水力梯度预测中的应用[J]. 渗流力学进展, 2018, 8(2): 22-34. https://doi.org/10.12677/APF.2018.82004

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