岩土力学2025，Vol.46Issue(9)：2721-2737,17.DOI:10.16285/j.rsm.2024.1353
时变降雨场景下双层非饱和土中水分一维瞬态渗流解析解
Analytical solutions for one-dimensional transient seepage of water in the two-layered unsaturated soils under time-varying rainfall conditions
摘要
Abstract
The seepage phenomenon of water in multi-layered unsaturated soils is ubiquitous in natural environments and engineering practices.To accurately describe the one-dimensional transient seepage behavior of water in the two-layered unsaturated soil under a time-varying rainfall scenario,based on the exponential soil-water characteristic curve and permeability coefficient function,the corresponding analytical solutions are derived for the first time via the approach of variable substitution,separation variable,and Fourier series transformation.The solutions also account for the arbitrary initial water content distribution and two types of bottom boundary.On this basis,the correctness of the proposed analytical solutions is validated by comparing them with existing two analytical solutions and corresponding numerical solutions.Finally,taking the simplified two-layered soil cover as an example,the one-dimensional transient seepage laws of water in the two-layered unsaturated soil are analyzed.The results indicate that,for the same total rainfall,water storage in the cover is smaller and cumulative leakage CQb is larger under the"previous-peak"rainfall pattern,while the opposite occur under the"post-peak"pattern.Compared to the case where the soil cover with a smaller saturated permeability coefficient is located above the two-layered cover,the corresponding water storage is larger and the value CQb is smaller when it is located below.When the initial total water storage is the same,the larger volumetric water content at the bottom zone,the smaller water storage in the cover after a period of rainfall,and the larger value of CQb.A larger initial effective saturation of the cover Sini leads to a larger value of CQb during the rainfall,and at the same time,the value of CQb increases linearly with an increasing Sini.关键词
双层非饱和土/瞬态渗流/时变降雨/解析解/初始含水率分布/底部边界类型Key words
two-layered unsaturated soil/transient seepage/time-varying rainfall/analytical solution/initial water content distribution/bottom boundary type分类
建筑与水利引用本文复制引用
江文豪,王浩,廖光志,陈滨华..时变降雨场景下双层非饱和土中水分一维瞬态渗流解析解[J].岩土力学,2025,46(9):2721-2737,17.基金项目
福州大学科研启动基金项目(No.511503) （No.511503）
国家自然科学基金面上项目(No.42477165).This work was supported by the Project of Research Initiation Fund of Fuzhou University(511503)and the General Project of National Natural Science Foundation of China(42477165). （No.42477165）
