考虑二维降雨入渗的非饱和土边坡瞬态体积含水率分析

Transient volume water content analysis of unsaturated soil slopes considering two-dimensional rainfall infiltration

  • 摘要: 降雨是非饱和土边坡失稳的关键因素之一,非饱和土体的强度与体积含水率有密切的关系.考虑二维降雨入渗条件,基于非饱和土达西渗流定理及质量守恒定律建立了非饱和土的二维降雨入渗模型方程.基于交替隐式有限差分法,采用MATLAB编制了计算程序,对方程进行了数值计算,研究了不同降雨条件、边坡内部不同位置的瞬态体积含水率分布.研究表明,由于考虑了水平方向的入渗,边坡内随着深度和水平距离的增加,体积含水率都发生了变化,在距离边坡表面1 m左右时,体积含水率变化率变小,边坡表层的体积含水率变化远远大于边坡深部.初始体积含水率越小,边坡体积含水率变化越大,这对边坡的稳定性不利.

     

    Abstract: Rainfall is one of the key factors of unsaturated soil slope instability and the strength of unsaturated soils is closely related to volume water content. Considering two-dimensional rainfall infiltration, on the basis of the Darcy seepage theorem and mass conservation law of unsaturated soils, this paper constructed a two-dimensional infiltration model of unsaturated soils and coded a MATLAB program based on an alternating-direction-implicit (ADI) finite difference method which is used to numerical calculations to study the transient volume water content distribution at different slope locations under different rainfall conditions. The results show that the volume water content changes with the horizontal distance and depth. Moreover, the volume water content at the slope surface changes far greater than that at the deep part. The smaller the initial volume water content is, the greater the change in volume water content of the slope is, which is disadvantageous to slope stability.

     

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