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Sensitivity Analysis and Validation for Numerical Simulation of Water Infiltration into Unsaturated Soil

机译:非饱和土壤水分入渗数值模拟的敏感性分析与验证

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摘要

A FORTRAN code for liquid water flow in unsaturated soil under the isothermal condition was developed to simulate water infiltration into Yolo light clay. The governing equation, that is, Richards' equation, was approximated by the finite-difference method. A normalized sensitivity coefficient was used in the sensitivity analysis of Richards' equation. Normalized sensitivity coefficient was calculated using one-at-a-time (OAT) method and elementary effects (EE) method based on hydraulic functions for matric suction and hydraulic conductivity. Results from EE method provided additional insight into model input parameters, such as input parameter linearity and oscillating sign effect. Boundary volumetric water content (θ L (upper bound)) and saturated volumetric water content (θ s) were consistently found to be the most sensitive parameters corresponding to positive and negative relations, as given by the hydraulic functions. In addition, although initial volumetric water content (θ L (initial cond)) and time-step size (Δt), respectively, possessed a great amount of sensitivity coefficient and uncertainty value, they did not exhibit significant influence on model output as demonstrated by spatial discretization size (Δz). The input multiplication of parameters sensitivity coefficient and uncertainty value was found to affect the outcome of model simulation, in which parameter with the highest value was found to be Δz.
机译:开发了FORTRAN代码,用于等温条件下非饱和土壤中液态水的流动,​​以模拟水渗透到Yolo轻质粘土中的过程。控制方程,即理查兹方程,是通过有限差分法近似的。在Richards方程的灵敏度分析中使用归一化的灵敏度系数。归一化的灵敏度系数是基于矩阵吸力和水力传导率的水力函数,使用一次(OAT)方法和基本效应(EE)方法来计算的。 EE方法的结果为模型输入参数提供了更多的见解,例如输入参数的线性和振荡符号效应。如液压功能所给出的,边界体积水含量(θL(上限))和饱和体积水含量(θs)始终是对应于正负关系的最敏感参数。此外,尽管初始体积水含量(θL(初始条件))和时间步长大小(Δt)分别具有大量的灵敏度系数和不确定性值,但是它们对模型输出没有显着影响,如空间离散大小(Δz)。发现参数灵敏度系数和不确定性值的输入乘数会影响模型仿真的结果,其中发现值最高的参数为Δz。

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