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非均质土壤中二维非饱和土壤水分运动的随机分析
引用本文:黄冠华,沈荣开.非均质土壤中二维非饱和土壤水分运动的随机分析[J].水科学进展,1997,8(2):117-122.
作者姓名:黄冠华  沈荣开
作者单位:1.中国农业大学水利与土木工程学院 北京 100083;
基金项目:国家自然科学青年基金(No.59509007),国家教委博士点基金(No.9249304)
摘    要:以一水平向具有空间变异而垂直向为均质的二维非饱和流动区域中的均匀入渗问题为例,应用Monte Carlo随机模拟方法分析了土壤水分变量的随机统计特性及其一、二阶矩的时空分布规律。在随机分析过程中,将所研究的流动区域土壤水力特性的空间变异性以随空间位置变化的标定参数δ(x)表示,并将标定参数δ(x)视为一维随机空间函数的实现,应用随机生成模型来生成参数δ(x)的随机样本。通过随机模拟分析得到:垂直方向上负压水头方差与平均负压水头近似呈一线性关系;随入渗时间的延长,不同深度处表征负压水头空间变异结构的自相关函数趋于一稳定结构。

关 键 词:非均质土壤    土壤水分运动    标定参数    Monte  Carlo模拟    随机分析
收稿时间:1995-12-19

Stochastic Analysis of Two-Dimensional Unsaturated Flow in a Heterogeneous Soil
Huang Guanhua,Shen Rongkai.Stochastic Analysis of Two-Dimensional Unsaturated Flow in a Heterogeneous Soil[J].Advances in Water Science,1997,8(2):117-122.
Authors:Huang Guanhua  Shen Rongkai
Institution:1.China Agricultural University, Beijing 100083;2.Wuhan University of Hydraulic and Electric Engineering, Wuhan 430072
Abstract:The problem of two-dimensional unsaturated flow in a hypothetical heter ogeneous soil is analyzed by Monte Carlo simulation.It is assumed that the flow domain is scale-hetergeneous along the horizontal direction but homogeneous in vertical direction,and the locally soil water flow can be described by the Richards equation.The heterogeneity in the soil hydraulic properties is represented by a scaling factor which is visualized as being arealization of a one-dimensional spatial stochastic function,and the NNM model is used to generate realizations for the scaling factor.The spatial distribution of soil water pressure head is quantified in terms of its first-and second-order moment.The results indicate that the variance of pressure head is a function of its mean,the spatial covariances of pressure head assume their steady state form after a short period of infiltration.
Keywords:heterogeneous soil  soil hydraulic properties  scaling factor  Monte Carlo simulation  stochastic analysis  
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