砂井地基等效平面问题研究

建立并解析了考虑井阻效应、径竖向组合渗流以及土体水平位移的砂墙平面固结等应变模型。以综合考虑各种因素的Tang Xiao-wu均质砂井地基固结理论为前提，根据砂井地基任意深度处平均超静孔压不变的条件，给出了砂井单元向砂墙单元转换的等效公式，使得复杂的砂井空间问题转化为简单的平面问题。采用此种方法，只需调整地基渗透系数，极大地减少了有限元网格中的砂井单元数，降低了计算规模。通过算例，比较了平面应变模型与PDSS（平面应变-空间渗流）情况下的数值解，验证了等效变换公式的有效性和可靠性。

Study of equivalent plane problem of sand-drained ground

Under the Barron’s equal strain condition, the plane model of sand-wall ground consolidation considering the effect of well resistance, combined radial and vertical flow and lateral displacement of soil is established. Based on the theory of homogeneous sand-drained ground consolidation by Tang Xiao-wu, under the condition of the consistency of average excess pore pressure at any depth, the equivalent transpositional formula of plane model of sand-wall ground is presented. Thereby, the complicated spatial problem is simplified as the plane problem. This method can reduce the amount of sand-wall elements, with only adjusting the coefficient of permeability. The effectiveness and reliability of this equivalent transpositional formula are validated by comparing the numerical solutions of FEM in case of plane strain and PDSS (plane deformation and spatial seepage).