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为研究现有砂井固结解析理论中将砂井多边形影响区简化为圆形所带来的影响,考虑了影响区为正六边形的梅花形布置砂井的两种计算模型,即将砂井及其涂抹区假定为正六边形的模式1和考虑真实砂井横截面的模式2。根据等应变假定和Carrillo定理分别得到固结基本方程,引入边界和初始条件,结合现有理论结果,给出了两种模式下平均超静孔压和地基总平均固结度的解答。分析了3个无量纲参数对固结性状的影响,结果表明,两种模式得到的固结曲线呈现的规律一致。最后与现有理论进行对比,发现相同条件下模式1计算的固结度最大,而模式2的解答与现有理论结果十分接近。
In order to study the effect of reducing the polygon influence area of the sand well to a circular shape in the existing theory of sand consolidation analysis, two calculation models of quincunx arrangement sand wells whose influence area is a regular hexagon are considered. And pattern 1 whose smear zone is assumed to be regular hexagon and pattern 2 which considers the real sand well cross section. According to the equal strain assumption and the Carrillo theorem, the basic equations for consolidation are obtained, and the boundary and initial conditions are introduced. Based on the existing theoretical results, the solutions of the average excess pore pressure and the total average consolidation degree of the foundation are given. The effects of three dimensionless parameters on the consolidation behavior are analyzed. The results show that the consolidation curves obtained by the two models are consistent. Finally, compared with the existing theory, we find that the maximal degree of consolidation of mode 1 under the same conditions is the largest, while the solution of mode 2 is very close to the existing theoretical results.