黏弹性土中半透水管桩沉桩后孔压消散解析解

研究了黏弹性土中管桩沉桩后的固结问题.将土视为适合Mechant模型的黏弹性材料,在弹性解答的基础上,根据对应性原理,经拉普拉斯变换、弹性参数代换和拉普拉斯逆变换等手段得出黏弹性问题的控制方程.通过分离变量法对本征值问题进行求解,在求解过程中考虑了管桩桩体的可渗透性,认为桩体为半渗透材料,给出混凝土管桩沉桩后桩周土中超静孔隙水压力消散的解析解,分析了孔压消散的因素影响.结果表明,土的黏弹性对孔压消散有明显影响,土的黏滞系数越大,超静孔压消散越快;在土的渗透性较小时桩身渗透对孔压消散有较大影响.

Analytical solution to dissipation of the excess pore pressure in visco-elastic soil surrounding partially permeable tube-pile after installation

The problem of the soil consolidation after tube-pile driving was studied. Mechant model was used for describing visco-elastic feature of the soil. Based on the elastic solutions, the control equation was obtained by using corresponding principle, Laplace transform, elastic parameter replacement and inverse Laplace transform. The permeability of the tube-pile was considered. An analytical solution to excess pore pressure in the soil surrounding tube-pile was obtained by making use of separating variables and solving the characteristic problem. The examples proved that the visco-elastic feature of soil influences dissipation of the pore pressure significantly. Larger viscosity coefficient leads to faster dissipation of the pore pressure. The influence of pile permeability on pore pressure dissipation is striking when permeability of the soil is small.