一维稳态流非饱和土渗透系数垂直分布模型及其线性简化

渗透系数是控制地下水流动的重要参数,对渗透系数的空间分布规律进行研究具有重要的意义。基于Gardner模型获取了一维稳态流非饱和土渗透系数沿垂直分布模型,该模型用指数函数描述,受饱和渗透系数和无量纲的深度与流动率等因素的控制;该模型表明一维稳态流条件下均质典型土类的渗透系数其沿垂直方向变化趋势主要受比流量与饱和渗流系数的负数值二者之间的相对大小影响。分别采用泰勒级数方法和以地下水位处及地表处的渗透系数作为控制条件方法对一维稳态流非饱和土渗透系数沿垂直分布模型进行线性近似简化。采用泰勒级数方法获取的简化模型其计算误差随无量纲的深度增大而增大。简化后的模型具有形式简单、参数少等特点。通过算例对比简化模型与原模型的差异,计算结果表明:采用以地下水位处及地表处的渗透系数作为控制条件的方法进行线性近似简化的模型计算误差比采用泰勒级数方法获得的线性近似简化模型的计算误差小。

Permeability coefficient vertical distribution model and it's linear simplified models of unsaturated soil under unidimensional steady flow condition

The permeability coefficient is important to investigate permeability coefficient spatial distribution of groundwater flow. Based on Gardner model, the permeability coefficient vertical distribution model is established, expressed as exponential, which is controlled by saturation permeability coefficient, dimensionless depth and dimensionless flow rate. The model shows that the permeability coefficient vertical distribution for homogeneous typical soils is influenced by the difference between flow rate and aturation permeability coefficient. And then, simplifies the model is simplified as linear model based on Taylor''s series and permeability coefficient of groundwater level and the earth''s surface as control conditions. The error of linear model with the method of Taylor''s series increases when dimensionless depth increases. The calculation results of the simplified model and the original model are compared. The result shows that the linear model with the method of permeability coefficient of groundwater level and the earth''s surface as control conditions is more accurate than the linear model with the method of Taylor''s series.