考虑水力边界转换的黄土非饱和渗流计算模型及验证

    NUMERICAL MODELING AND VALIDATION OF UNSATURATED SEEPAGE IN LOESS WITH CONSIDERATION OF HYDRAULIC BOUNDARY TRANSITIONS

    • 摘要: 在非饱和土体水分入渗的数值计算中,传统方法多采用单一水力边界,没有考虑不同边界随降雨强度或土体渗透性变化而相互转换的特征。本文基于van Dam et al.(2000)的边界处理方法,引入地表潜在通量、瞬时最大入渗能力与饱和渗透系数的大小关系作为边界转换判据,以Richards方程为渗流控制方程,构建了黄土中考虑水力边界转换的一维非饱和渗流模型。采用有限差分方法对模型进行数值求解,计算了流量边界与水头边界转换条件下黄土的水分入渗过程,并利用已有的土柱试验对其进行了验证。结果表明:水力边界转换对黄土渗流过程影响显著,当流量边界转换为水头边界后,若忽略了积水水头,会低估土体中的水分入渗量;若让水分全部入渗,则会高估入渗总量与湿润锋运移深度。流量边界转换至水头边界并非即刻完成,而要经历短暂的“水头-流量-水头”振荡过程;此外,水力边界转换影响的是水分入渗过程,不影响停雨后土柱最终含水率分布特征。

       

      Abstract: In numerical simulations of unsaturated soil water infiltration,conventional approaches typically prescribe a single hydraulic boundary condition and ignore the transition between different boundary types induced by rainfall intensity or variations in soil hydraulic conductivity. In this study,a one-dimensional unsaturated seepage model for loess that explicitly accounts for hydraulic boundary transformation was developed based on the boundary treatment proposed by van Dam et al.(2000). The model determined boundary switching by comparing the infiltration flux,the instantaneous maximum infiltration capacity,and the saturated hydraulic conductivity,and employed the Richards equation as the governing flow equation. Based on an implicit finite difference scheme,the proposed model was numerically solved to simulate the water infiltration process in loess under switching conditions between flux and head boundaries,and was validated using existing soil column experiments. The results show that hydraulic boundary switching has a significant influence on the infiltration process in loess. Neglecting the ponding head after a flux-to-head transition leads to an underestimation of soil water infiltration,whereas assuming complete infiltration of rainfall results in overestimation of the total infiltrated water and the wetting-front depth. Moreover,the transition from flux to head boundary does not occur instantaneously but experiences a short"head-flux-head" oscillatory stage. In addition,boundary switching influences only the infiltration process itself and does not affect the final water content distribution of the soil column after rainfall.

       

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