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为分析含水平向排水砂垫层地基的固结问题,针对平面应变条件下的二维自由应变固结微分方程,分别考虑待固结土体顶底双面和顶面单面含有砂垫层的工况,采用分离变量法,推求得到了超静孔压和整体平均固结度的显式解析解答,并与有限元法的计算结果对比,验证了其正确性。同时,分析了待固结土体不同渗透系数、土层宽度和厚度条件下,砂垫层渗透系数和厚度对其固结的影响。结果表明:砂垫层渗透系数与待固结土层渗透系数的比值是砂垫层设计中的关键参数。要使砂垫层接近或达到完全透水边界条件,该比值应介于104~105之间,待固结土层越宽、渗透系数越小,所要求的比值越大。
In order to analyze the consolidation of ground with horizontal draining sand cushion foundation, considering the two-dimensional free strain consolidation differential equation under plane strain condition, By using the method of separating variables, the explicit analytical solutions of excess pore pressure and overall average consolidation degree are deduced. Compared with the finite element method, the correctness is verified. At the same time, the influence of permeability coefficient and thickness of sand cushion on its consolidation under different permeability coefficient, soil width and thickness was analyzed. The results show that the ratio of the permeability coefficient of sand cushion to the permeability coefficient of soil to be consolidated is the key parameter in the design of sand cushion. To make the sand cushion close to or reach the complete water-permeable boundary conditions, the ratio should be between 104 ~ 105, to be consolidated soil wider, the smaller the permeability coefficient, the greater the required ratio.