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在土中渗流遵循非达西渗流定律的前提下,考虑软土在固结过程中的非线性固结特性,根据饱和土体一维固结的连续条件,推导出基于非达西渗流的软土一维非线性固结控制方程。利用半解析方法对其进行求解,并与差分计算结果进行对比,验证半解析方法的可靠性。最后,着重分析非达西渗流与达西定律之间非线性固结性状的差别,以及不同自重应力分布方式对固结速率的影响。结果表明,考虑非达西渗流下的非线性固结速率比达西定律下要慢,且指数和临界水力坡降越大,非线性固结速率越慢。而且,作用的外荷载越小、地基土层越厚,非达西渗流下非线性固结速率的减慢愈明显。自重应力均匀分布下的非线性固结速率要比自重应力线性分布下慢,但随着荷载的增大、土层的变薄,两者之间的差别会越来越小。
Based on the non-Darcy seepage law, the nonlinear consolidation characteristics of soft soil in the process of consolidation are considered. According to the continuous condition of one-dimensional consolidation of saturated soil, the soft soil based on non-Darcy flow is derived Soil one dimensional nonlinear governing equations of consolidation It is solved by semi-analytical method and compared with the difference calculation to verify the reliability of the semi-analytical method. Finally, the differences of non-linear consolidation between non-Darcy seepage and Darcy’s law are analyzed, and the effect of different self-weight stress distributions on the consolidation rate is analyzed. The results show that the nonlinear consolidation rate under non-Darcy flow is slower than that under Darcy’s law, and the larger the index and critical hydraulic gradient, the slower the nonlinear consolidation rate. Moreover, the smaller the applied external loads, the thicker the foundation soil, the more obvious the slowdown of nonlinear consolidation rate under non-Darcy seepage. The nonlinear consolidation rate under self-weighting stress distribution is slower than the linear distribution of self-weighting stress, but with the increase of load and the thinning of soil layer, the difference between them will be smaller and smaller.