基于随机介质理论的基坑地表沉降计算方法研究

Research on the Calculation Method for Surface Settlements of the Foundation Pit Based on Random Medium Theory

  • 摘要: 针对深基坑开挖及降水过程引起的地表沉降问题,文章引入随机介质理论中的地层损失概念,推导了基坑开挖引起的地表沉降计算公式,推导并改进了容重变化和渗透力变化引起的地表沉降公式,并考虑了支护结构-土界面摩阻力对沉降的影响,探讨了随机介质理论在基坑开挖计算中关键参数的确定问题,最后与文献10计算结果及实测地表沉降结果进行了对比分析。结果表明:本文计算方法得到的基坑周边地表沉降分布与实测沉降更为接近,能更准确地预估基坑开挖及降水引起的地表沉降;因考虑了土体的持水度和支护结构侧摩阻力的影响,在1.5倍开挖深度范围内的计算精度远高于传统方法,在基坑1.5倍开挖深度范围外的计算精度得到进一步提高;对于有支护结构并使用坑内降水的敞口基坑,应用本文计算方法预测地表沉降,能取得较好的效果。

     

    Abstract: In view of the surface settlement caused by excavation and dewatering of deep foundation pit, the con? cept of ground loss in random medium theory was introduced, the calculation formula for the surface settlement caused by foundation pit excavation was deduced, and the formula for surface settlement caused by changes of unit weight and penetration was deduced and improved, the determination of key parameters of random medium theory applied in calculation of foundation pit excavation was discussed by taking the effect of frictional resistance at support structure-soil interface on settlement into consideration, and a contrastive analysis of the calculation results by the methods proposed in this paper and reference10 and the measured settlements was conducted. The results show that the surface settlement near foundation pit calculated by the method proposed in this paper is closer to the measured ones, the surface settlement caused by excavation and dewatering of foundation pit can be predicted more accurately using the proposed method; compared with the traditional methods, the calculation accuracy of this method is much higher within the scope of 1.5 times excavation depth while the calculation accuracy would be further improved beyond the scope of 1.5 times excavation depth by considering the effect of specific water retention of soil mass and frictional resistance at the side of support structure; as for the open foundation pit with support structure and dewatering in the pit, good prediction of surface settlement can be achieved with the calculation method proposed in this paper.

     

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