时变降雨条件下非饱和植被土中水分瞬态渗流解析解及应用分析

    Analytical solutions and application analysis of transient seepage of water in unsaturated vegetated soil under time-varying rainfall conditions

    • 摘要: 针对时变降雨条件下非饱和植被土中水分瞬态渗流问题,基于几点假定,采用多种数学方法求得了相应解析解。该解还考虑了两类典型底边界和任意初始含水率分布形式。随后,给出了几种常见降雨模式下解析解表达式。在此基础上,通过对比分析验证了所得解析解的可靠性。最后,以一类填埋场植被盖层为对象,应用解析解,研究了多个因素对其底部水分渗漏影响。结果表明:当降雨总量相同时,总体上,前期降雨强度较大模式下的渗漏量较大;对于初始总储水量相等的不同分布形式,底部含水率较大形式会导致较大的渗漏量,但其影响主要发生在降雨入渗前期;对于所考虑的四种典型根系形状,均布形根系下植被盖层阻隔底部水分渗漏效果最好,指数形根系最差,但根系形状影响相对较小;蒸腾速率增大可降低渗漏量,且这种影响会随降雨入渗过程的进行逐渐变得更显著。

       

      Abstract: The study focuses on the issue of transient seepage of water in the unsaturated vegetated soil under a time-varying rainfall condition, based on a few assumptions, the corresponding analytical solutions are obtained using multiple mathematical methods. The solutions also consider two types of typical bottom boundary conditions and arbitrary initial water content distribution patterns. Furthermore, the expressions of analytical solution for several common rainfall patterns are provided. On this basis, the reliability of the obtained analytical solutions is verified through the comparison analyses. Eventually, taking a type of vegetation cover of landfill as the object, the analytical solutions are applied to study the impacts of several factors on its bottom leakage. The results show that when the total rainfall is the same, overall, the leakage amount is larger under the pattern with a larger rainfall intensity in the early stage. For different distribution forms with equal initial total water storage, the form with a larger bottom water content leads to a larger leakage amount, but its impact mainly occurs in the early stage of rainfall infiltration. Among the four typical root shapes considered, the vegetation cover with uniform root distribution has the best effect in blocking the bottom leakage, and the exponential root shape has the worst effect. However, the effect of root shape is relatively small. An increase in the transpiration rate can reduce the leakage amount, and this effect will gradually become more significant as the rainfall infiltration process proceeds.

       

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