Semi-analytical solution of one-dimensional nonlinear consolidation with non-Darcian flow

LI Chuan-xun; XIE Kang-he

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Semi-analytical solution of one-dimensional nonlinear consolidation with non-Darcian flow

更新时间：2026-06-25

- Semi-analytical solution of one-dimensional nonlinear consolidation with non-Darcian flow
- Vol. 34, Issue 8, (2013)
- 作者机构：
  
  1. 江苏大学土木工程与力学学院,江苏,镇江,212013
  2. 浙江大学软弱土与环境土工教育部重点实验室,杭州,310027
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU443
- Online First：13 August 2013，
  
  Published：2013
- 稿件说明：
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LI Chuan-xun, XIE Kang-he. Semi-analytical solution of one-dimensional nonlinear consolidation with non-Darcian flow[J]. 2013, 34(8).
DOI：

LI Chuan-xun, XIE Kang-he. Semi-analytical solution of one-dimensional nonlinear consolidation with non-Darcian flow[J]. 2013, 34(8). DOI：

摘要

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。

Abstract

Based on the non-Darcian flow in soft soil and nonlinearity during the process of consolidation

the governing equation of one-dimensional nonlinear consolidation was derived according to continuity condition of one-dimensional consolidation. Solutions for this question were obtained by adopting a semi-analytical method

and were verified by comparing with the results by finite difference method. Finally

the difference of consolidation behavior between non-Darcian flow and Darcy’s law and influence of distribution types of dead-weight stress on consolidation rate were emphatically analyzed. The results show that the rate of nonlinear consolidation will be slowed down when non-Darcian flow is considered; and the larger the exponent and threshold hydraulic gradient are

the slower the rate of nonlinear consolidation is. Furthermore

this retardation of nonlinear consolidation with non-Darcian flow will be more noticeable with an increase of thickness of soil layer and a decrease of external loading. The rate of nonlinear consolidation with linear distribution of dead-weight stress is faster than that with uniform distribution; and the difference between them will diminish with increasing the external loading and decreasing the thickness of a soil layer.

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