基于Hausdorff分形导数Richards方程的土壤入渗率和水文模型类型

陈文; 梁英杰; 杨旭

doi:10.21656/1000-0887.380101

基于Hausdorff分形导数Richards方程的土壤入渗率和水文模型类型

doi: 10.21656/1000-0887.380101

水文水资源与水利工程科学国家重点实验室(河海大学), 南京 210098;河海大学力学与材料学院软物质力学研究所, 南京 211100

基金项目: 国家自然科学基金（11402214;51375402;11572264;61773004）; 四川省青年科技创新研究团队(2017TD0035;2017TD0026;2015TD0021;2016HH0010); 四川省教育厅自然科学重点项目(17ZA0364); 浙江省自然科学基金（LY14E08006）; 教育部“春晖计划”合作科研项目（Z2014075）;重庆创新团队项目(CXTDX201601022)

详细信息

作者简介:
陈文（1967—），男，教授，博士，博士生导师(E-mail: chenwen@hhu.edu.cn)；梁英杰（1988—），男，讲师，博士(通讯作者. E-mail: liangyj@hhu.edu.cn)；杨旭（1990—），男，博士生(E-mail: yangxu@hhu.edu.cn).

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出版历程
- 收稿日期: 2017-04-17
- 修回日期: 2017-05-31
- 刊出日期: 2018-01-15

Soil Infiltration Rates and Hydrology Model Classifications Based on the Hausdorff Fractal Derivative Richards Equation

State Key Laboratory of HydrologyWater Resources and Hydraulic Engineering(Hohai University), Nanjing 210098, P.R.China;Institute of Soft Matter Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 211100, P.R.China

Funds: The National Natural Science Foundation of China（11402214;51375402;11572264;61773004）

摘要

摘要: 基于Hausdorff(豪斯道夫)分形导数Richards方程，推导了土壤入渗率与时间的关系。该模型仅有两个参数，其中Hausdorff分形导数的阶数α能够表征水分在土壤中扩散环境的力学特征，刻画土壤结构的非均质性质，而土壤孔径分布指标λ决定了不同水文模型的类型。通过两个算例，观察到当Hausdorff导数的分形维α≠1时，入渗率表现出一定的记忆性，即α的值越小，入渗率随时间的变化越慢，记忆性越强；且同时反映出水分入渗的扩散环境愈加偏离经典模型的理想状态.土壤孔径分布指标λ的值越小，土壤水分渗透的速率越慢，该参数是反映土壤渗流特征的一个基本指标.
- Hausdorff分形导数 /
- Richards方程 /
- 反常渗透 /
- 土壤入渗率 /
- 径流曲线数模型
Abstract: The time-dependent soil infiltration rate was derived based on the Hausdorff fractal derivative Richards equation. This model requires only 2 parameters, among which the Hausdorff derivative order characterizes the underlying water transport environment property in heterogeneous soil, while the pore size distribution index categorizes different hydrological models. Two applications show that a fractal order α≠1 of the Hausdorff derivative indicates the history-dependent process. Namely, a lower α exhibits slower decay of the infiltration rate with time evolution, reflecting stronger memory and further departure from the classical integer-order models. It is also observed that a smaller pore size distribution index indicates slower decay of the infiltration rate, making a fundamental index of soil infiltration.
- Hausdorff fractal derivative /
- Richards equation /
- anomalous infiltration /
- soil infiltration rate /
- soil conservation service curve number method

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参考文献(17)

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基于Hausdorff分形导数Richards方程的土壤入渗率和水文模型类型

doi: 10.21656/1000-0887.380101

作者简介:
陈文（1967—），男，教授，博士，博士生导师(E-mail: chenwen@hhu.edu.cn)；梁英杰（1988—），男，讲师，博士(通讯作者. E-mail: liangyj@hhu.edu.cn)；杨旭（1990—），男，博士生(E-mail: yangxu@hhu.edu.cn).

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Soil Infiltration Rates and Hydrology Model Classifications Based on the Hausdorff Fractal Derivative Richards Equation

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留言板

基于Hausdorff分形导数Richards方程的土壤入渗率和水文模型类型

doi: 10.21656/1000-0887.380101

作者简介: 陈文（1967—），男，教授，博士，博士生导师(E-mail: chenwen@hhu.edu.cn)；梁英杰（1988—），男，讲师，博士(通讯作者. E-mail: liangyj@hhu.edu.cn)；杨旭（1990—），男，博士生(E-mail: yangxu@hhu.edu.cn).

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出版历程

Soil Infiltration Rates and Hydrology Model Classifications Based on the Hausdorff Fractal Derivative Richards Equation

计量

出版历程

目录

作者简介:
陈文（1967—），男，教授，博士，博士生导师(E-mail: chenwen@hhu.edu.cn)；梁英杰（1988—），男，讲师，博士(通讯作者. E-mail: liangyj@hhu.edu.cn)；杨旭（1990—），男，博士生(E-mail: yangxu@hhu.edu.cn).