初始孔压非均布的饱和土一维热固结解析解

基于热弹性力学和饱和土固结理论,通过热固结方程的建立和求解,研究了初始孔压非均布时的饱和土一维热固结问题.利用有限Fourier变换及其逆变换,得到土层内部超静孔压、温度增量的解析解,并依此求出地基沉降、平均固结度的表达式.根据所得解编制计算程序,分析了饱和土的一维热固结性状,并与不考虑温度影响的传统固结解进行比较.结果表明,超静孔压随时间延长最终消散为零,但在热固结过程中可能会产生负孔压;地基沉降受温度升高的影响小于传统固结解;平均固结度按沉降定义和按孔压定义是不同的,其变化规律与传统的固结理论有较大差别.

Analytical Solution for One-Dimensional Thermal Consolidation of Saturated Soil with Non-Uniform Initial Excess Pore-Water Pressure Distribution

Based on thermoelasticity mechanics and the consolidation theory of saturated soil,problems of one-dimensional thermal consolidation of saturated soil were theoretically investigated by establishing and solving the thermal consolidation equations.The analytical solutions of excess pore water pressure,temperature increase were derived based on finite Fourier transform and its inverse transform,and the expressions of settlement,average consolidation degree were also given.A relevant computer program was developed,and one-dimensional thermal consolidation behaviour of saturated soil was investigated by comparing with traditional consolidation theory ignoring temperature effect.The results show that although excess pore-water pressure dissipates with time and it finally reaches to zero,it may appear negative value during thermal consolidation.The settlement is decreased due to temperature increase;Average consolidation degrees defined by settlement and by pore-water pressure are different and there is big difference of their evolution by comparing with traditional consolidation theory.