基于抛物线形温度场的冻结壁粘弹性分析

Analysis of Frozen Wall Viscoelasticity Based on Parabolic Temperature Field

为了更加合理得分析复杂地层中冻结壁的受力及变形特性,将非均质冻结壁的温度场等效为抛物线形分布,考虑冻结壁内部土体的卸载作用,基于粘弹性理论结合数值积分方法推导了非均质冻结壁的应力场与位移场的半解析解表达式。对比分析了在冻结壁卸载初期到井壁完成施工的24h的时间里,非均质冻结壁与均质冻结壁的承载力与位移变化情况。结果表明:对应相同的时刻,非均质冻结壁的承载力小于均质冻结壁,而非均质冻结壁的井帮位移要大于均质冻结壁,为冻结壁的设计理论提供了理论参考。

In order to more reasonably analyze characteristics of the stress and deformation of frozen wall in complex stratum,the temperature field of heterogeneous frozen wall was regarded as parabolic distribution,the semi analytical solution of the stress field and the displacement field of the frozen wall was derived by using the numerical integration method,based on the viscoelastic theory and the numerical integration method. The bearing capacity and displacement distribution of heterogeneous frozen wall and homogeneous wall were compared and analyzed during the time of 24 h from the initial stage of unloading of the frozen wall to the completion of the wall.The result showed that,at the same corresponding time,the bearing capacity of the heterogeneous frozen wall was less than that of the homogeneous frozen wall,and displacement of heterogeneous frozen wall was larger than that of the homogeneous one,which provided a theoretical reference for the design theory of frozen wall.