分段线性差分一维大变形电渗固结模型

Abstract

The classic consolidation theory suggests that the physical, mechanical and electrical properties of soil are constant and uniform in the course of electroosmosis consolidation. The solutions given in this presumption neglect or at least underestimate the effect of the properties variation along with the progress of soil consolidation. This paper presents a piecewise-linear finite-difference model for one-dimensional large strain electroosmosis consolidation called ECS1, which was developed based on a fixed Eulerian co-ordinate system. The model is able to account for the nonlinear variation of soil properties and estimate the trends of excess pore water pressure, settlement, electrical potential& resistance. ECS1 is verified against Esrig’s exact solution and used to illustrate numerical solutions to a largestrain electroosmosis consolidation problem. The variables addressed in the solutions include seepage volume, settlement and consolidation degree, distribution of pore pressure and electrical gradient, and the effect of varied electrical gradient on consolidation. = 经典固结理论假设土体的物理、力学和电学特性均匀稳定,给出的解答往往忽略实际电渗固结中土体属性的动态变化。本文采用欧拉坐标系,建立一种分段线性一维大变形电渗固结模型ECS1。该模型考虑土体孔隙比、渗透、电势随固结进程的非线性变化,可分析电渗过程中土体超静孔隙水压力、沉降与固结、电势以及电阻的动态变化。通过算例验证及阐述该模型的特点,结合算例,给出了非线性大变形情况下的电渗固结数值解,求解或分析的对象包括渗流量、沉降量与固结度、孔压与电势分布,以及不同电势梯度对固结的影响。