复杂荷载作用下考虑下卧层三维渗流的未打穿竖井地基固结分析

针对任意复杂变荷载作用下未打穿的竖井地基，通过在竖井底面以下土层中设置虚拟竖井，使其能够合理考虑下卧层土体三维渗流问题，运用Laplace变换，求得频域内竖井地基的固结解。通过Laplace逆变换，得到了任意荷载作用下竖井地基的平均固结度、孔压消散曲线、沉降曲线。结合具体算例，对影响竖井地基固结的主要影响因素进行了详细分析，并将现有未打穿竖井地基平均固结度近似计算方法的精度和适用的范围进行了对比，得到了一些有益于工程实践的结论。

Soil of consolidation with partially penetrated vertical drains under complicated loadings considering three-dimensional seepage in soil beneath vertical drain

The general solution in the Laplace transform field for the consolidation of soil with partially penetrated vertical drains under complicated time-dependent loadings is derived. In order to consider the three-dimensional seepage in the soil beneath vertical drain, an imaginary drain in the soil just below the tip of actual one is assumed. And then by the Laplace transform the average degree of consolidation, excess pore water pressure and settlement of the vertical drain under arbitrary loading could be calculated. According to numerical examples, the influences of parameters of partially penetrated vertical drains are investigated; and by using the solutions, the approximate methods so far available for the computation of average consolidation degree of soft soil with partially penetrated vertical drains are compared and discussed in detail.