Incorporating hysteresis in one-dimensional seepage modeling in unsaturated soils

Incorporating hysteresis in one-dimensional seepage modeling in unsaturated soils
复制标题

将滞后作用纳入非饱和土的一维渗流建模中

DOI:
10.1007/s12205-012-1377-z
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发表时间:
2012
影响因子:
2.2
通讯作者:
Xu Q
Xu Q
中科院分区:
工程技术4区
文献类型:
--
作者:
Wu LZ;Huang RQ;Xu Q

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为了更好地理解土水特征滞后对非饱和土降雨入渗和孔隙水压力分布的影响,利用傅里叶积分变换推导了考虑滞后的一维控制偏微分方程的解析解。解析解考虑了随时间变化的任意初始孔隙水压力分布,以及地表随时间变化的降雨通量过程。采用指数函数来表示滞回土水特征曲线(SWCC)以及导水率与孔隙水压力之间的关系。计算结果表明,一维非饱和渗流中润湿域与干域交点的临界点受到多种因素的影响。土水特性的滞后性是影响非饱和土孔隙水压力剖面的入渗过程的重要因素。还分析了滞后参数对孔隙水压力剖面的影响。发现滞后模型中的α值是影响孔隙压力分布的最重要因素。
To understand better the influence of soil-water characteristic hysteresis on rainfall infiltration and pore-water pressure distributions in unsaturated soils, an analytical solution to the one-dimensional governing partial differential equation considering hysteresis is derived using a Fourier integral transformation. The analytical solution considers time-dependent and arbitrary initial pore-water pressure distributions, as well as a time-varying rainfall flux process at the ground surface. An exponential function is used to represent the hysteretic Soil-Water Characteristic Curve (SWCC) and the relationship between hydraulic conductivity and pore-water pressure. The calculated results demonstrate that the critical point, the intersection between wetting and drying domains in one-dimensional unsaturated seepage, is influenced by many factors. The hysteresis in soil-water characteristics is an important factor in infiltration process influencing the pore-water pressure profiles in unsaturated soils. The effects of hysteretic parameters on pore-water pressure profiles are also analyzed. The value ofαin the hysteresis model is found to be the most significant factor influencing the pore pressure distributions.
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