自由应变下变井阻竖井地基大应变非线性固结

ANALYSIS FOR NONLINEAR LARGE-STRAIN CONSOLIDATION OF SOILS WITH VERTICAL DRAIN CONSIDERING VARIABLE WELL RESISTANCE UNDER FREE-STRAIN THEORY

  • 摘要: 常井阻下竖井地基等应变与自由应变固结计算的差异性通常可忽略。但吹填淤泥中的竖井往往具有明显的变井阻效应,考虑变井阻效应后等应变与自由应变下竖井地基固结的差异性目前还鲜见报道。基于此,在大应变几何假定下,考虑吹填土的非线性压缩和渗透特性及竖井井阻随时间和深度变化的事实,建立自由应变下考虑变井阻效应的竖井地基大应变非线性固结模型并获得模型的解答。在验证模型解答可靠性的基础上,深入系统地分析各种因素对等应变与自由应变间竖井地基固结性状的差异。分析结果表明:对于理想竖井地基,自由应变和等应变假定下竖井地基平均固结度间的差异达到15%,此时应用等应变假定代替自由应变将带来较大误差;对于常井阻竖井地基,两种不同假定下竖井地基平均固结度差异在8%左右;对于实际中的变井阻竖井地基,两者差异在5%之内。考虑竖井的变井阻效应后,地基中初始有效应力的不同分布形式对两者的差异影响在4%以内。变井阻模型中, H \mathord\left/ \vphantom H r_\texte \right. r_\texte > 25 时自由应变下固结速率快于等应变;而 H \mathord\left/ \vphantom H r_\texte \right. r_\texte < 8 时等应变假定下竖井地基固结速率要快于自由应变。当 H \mathord\left/ \vphantom H r_\texte \right. r_\texte 取值在14~15时,两种假定下竖井地基固结速率差值在2%以内,此时即使实际发生自由应变仍然可以应用等应变假定开展竖井地基的固结计算。

     

    Abstract: The difference is usually negligible between equal-strain and free-strain consolidation calculations for soils with vertical drains considering constant well resistance. In fact, vertical drains in silt often have a significant variable well resistance effect, the difference of consolidation degree between equal-strain and free-strain, in which the variable well resistance effect is considered, has rarely been reported in the literature. Therefore, according to large-strain geometry assumptions, considering the non-linear compressibility and permeability of silt as well as the fact that well resistance varies with time and depth, established is a large-strain non-linear consolidation model of vertical drain foundations under free-strain theory taking variable well resistance effects into consideration, and the solution upon the model is obtained. Based on the validation of the model solution, deeply and systematically analyzed are the differences in consolidation behavior of vertical drain foundation between equal-strain and free-strain by various factors. The analysis results show that for ideal vertical drain foundations, the difference of the average consolidation degree between free-strain and equal-strain amounts to 15%. In this case, applying equal-strain assumptions instead of free-strain would cause large errors. For constant well resistance model, the difference of the average consolidation degree between two assumptions is around 8%. For variable well resistance model in practice, the difference between two assumptions is within 5%. Taking into account the variable well resistance effect, the different distribution forms of the initial effective stress cause the difference between the two is within 4%. In the variable well resistance model, the rate of consolidation is faster in case of free-strain than that in case of equal-strain when H \mathord\left/ \vphantom H r_\texte \right. r_\texte > 25 , while the rate of consolidation in case of equal-strain is faster than that in case of free-strain when H \mathord\left/ \vphantom H r_\texte \right. r_\texte < 8 . When H \mathord\left/ \vphantom H r_\texte \right. r_\texte takes value at 14 ~ 15, The difference in the rate of consolidation between two assumptions is within 2%. In this case, the equal-strain assumption can be applied to the consolidation of the vertical drain foundations even if free-strain occurs in practice.

     

/

返回文章
返回