梯度饱和土层的一维固结度的计算  

Calculation of One-dimensional Consolidation of Gradient Saturated Soil

作　　者：刘俊俏[1] 段惠琴[1] 董淑转[1] 

机构地区：[1]运城学院应用数学系,山西运城044000

出　　处：《运城学院学报》2014年第5期5-8,共4页Journal of Yuncheng University

基　　金：国家自然科学基金(11362018);运城学院科研项目(SWSX-201303)

摘　　要：研究了梯度饱和土层在外荷载下的固结作用,利用Biot理论给出了固结的基本微分方程,一些材料常数假设为指数模型,当梯度系数为零时,退化为一维均匀饱和土层的固结,利用分离变量等方法,得到透水和不透水边界条件下孔隙压力,给出了固结度曲线。当梯度系数不为零时,给出了梯度饱和土在外荷载下的孔隙压力,利用固结度的定义,数值算例出了梯度饱和土层的固结度变化曲线,分析和讨论了梯度系数等对固结度的影响。这些结果对地基下沉量计算和预测有一定的理论价值和意义。The consolidation effect of gradient saturated soil subjected to loading all round the surface is studied.The fundamental differential equations to control the consolidation are given in terms of the Biot＇s theory.Some parameters of the medium are assumed to be of exponential forms.The problem can degenerate into the consolidation of homogenous one-dimensional saturated soil when the gradient coefficient is 0.The pore pressure is presented under the permeable and impermeable boundary conditions by using the methods of separation of variables,and the consolidation degree curve is depicted under both conditions.The pore pressure in the graded saturated soil subjected to loading all round the surface is obtained when the gradient coefficient is not 0.According to the definition of consolidation degree,the change curve of the consolidation degree is shown by a numerical example.The affects of the gradient coefficient on the degree is analyzed.These results are of a certain theoretical value and significance for computing and predicting the amount of ground subsidence.

关 键 词：BIOT理论 梯度饱和土 空隙压 固结度 

分 类 号：TU4[建筑科学—土工工程]