考虑热渗效应的有限热源固结近似解

APPROXIMATE SOLUTION OF FINITE HEAT SOURCE CONSOLIDATION WITH CONSIDERATION OF THE EFFECT OF THERMO-OSMOSIS

  • 摘要: 通过建立考虑热渗效应和热流固耦合效应的饱和土体固结方程,研究了无限长圆柱热固结问题. 利用Fourier 和Laplace 变换及其逆变换,给出了热固结问题的解析解;然后对空间内无限长圆柱形热源问题进行研究,得到非等温条件下柱体周围饱和土体温度、孔隙水压力的近似解,并总结其规律,分析了热渗系数、固结系数对温度作用下土体固结的影响.

     

    Abstract: Based on the governing equation of the soil consolidation with consideration of the effect of thermo- osmosis and coupling, a method for solving the consolidation of a cylinder of saturated porous medium with infinite length is established. Fourier, Laplace Transforms and their inverse transformations are used to obtain the analytical solution of the thermal consolidation. Then for the problem of the heat source consolidation of a cylinder with infinite length, approximate solutions of the soil's temperature and the pore pressure around the cylinder under the non-isothermal condition are obtained. The influence of the heat permeability coefficient and the consolidation coefficient of the soil consolidation under the action of the temperature is analyzed.

     

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