等应变条件下的砂井地基固结解析理论
Consolidation Theories for Drain Wells under Equal Strain Condition
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摘要: 本文建立了等应变条件下较为完善的打穿软粘土层的砂井地基固结解析理论,该理论较同样条件下现有理论更接近自由应变条件下严密的但极其复杂的解析理论。文中对巴隆(R.A.Barron)理论和汉斯(S.Hansbo)理论作了详细的分析和讨论,阐述了考虑井阻作用时巴隆理论的不合理性和汉斯理论的近似性。最后根据本文理论编制了可用于IBM-PC微机的绘图软件,绘制了常用砂井的平均径向固结度-径向固结时间因子等曲线。利用这些曲线,能较方便地进行考虑井阻作用和涂抹作用的砂井地基设计。Abstract: A new solution for the consolidation of soils with penetrating drain wells under the condition of equal vertical strain is presented and the effectiveness of existing analytical theories for drain wells under the same condition is investigated theoretically in this paper. It is found that, due to improper mathematical treatments, Barron’s classical theory concerning well resistance is unable to give reasonable result while Hansbo’s is an approximate one. The new one developed by the authors is theoretically more rigorous and the result is more close to that obtained from the rigorous but much more complicated solution developed by Yoshikuni et al. for free vertical strain condition. A sets of curves plotted based on the new solution are then given which can be used conveniently in practice for drain wells problems to take account of the effect of smear and well resistance on the rate of consolidation.