基于连续排水边界的土体一维非线性固结分析

One-dimensional nonlinear consolidation analysis of soil with continuous drainage boundary

基于MESRI和ROKHSAR提出的假定,通过引入连续排水边界研究了瞬时荷载作用下的一维非线性固结问题。利用有限差分法获得问题的数值解,并通过与现有相关解析解和数值解进行对比,验证了解答的正确性。基于所得解答,详细研究了界面参数、应力比(即最终有效应力与初始有效应力之比N_(σ))以及压缩指数与渗透指数比值c_(c)/c_(k)对土体固结性状的影响。结果表明,土的一维非线性固结特性不仅与c_(c)/c_(k)和N_(σ)有关,还与边界条件有关。在工程实践中,可以通过调整界面参数的取值来控制土体固结的排水速率。

Following the assumptions proposed by MESRI and ROKHSAR,the one-dimensional nonlinear consolidation problem of soil under constant loading is studied by introducing continuous drainage boundary.The numerical solution is derived by using finite difference method and its correctness is assessed by comparing with existing analytical and numerical solutions.Based on the present solution,the effects of interface parameters,stress ratios(i.e.,final effective stress over initial effective stress,N_(σ))and the ratio c_(c)/c_(k)of compression index to permeability index on the consolidation behavior of soil are studied in detail.The results show that,the characteristics of one-dimensional nonlinear consolidation of soil are not only related to c_(c)/c_(k)and N_(σ),but also related to boundary conditions.In the engineering practice,the soil drainage rate of consolidation process can be designed by adjusting the values of interface parameters.