基于数值流形法的降雨入渗与坡面径流耦合算法研究

陈远强; 郑宏; 屈新

doi:10.21656/1000-0887.440115

基于数值流形法的降雨入渗与坡面径流耦合算法研究

doi: 10.21656/1000-0887.440115

陈远强^1, ,,
郑宏²,
屈新³

1.
湖南科技大学土木工程学院，湖南湘潭 411201
2.
北京工业大学城市与工程安全减灾教育部重点实验室，北京 100124
3.
安阳工学院土木与建筑工程学院，河南安阳 455000

(我刊编委郑宏来稿)

基金项目:

国家自然科学基金项目 42107195

湖南省教育厅科研项目 21C0317

详细信息

通讯作者:
陈远强(1990—)，男，讲师，博士(通讯作者. E-mail: whytscyq@163.com)

中图分类号: O241; TV139.14
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出版历程
- 收稿日期: 2023-04-17
- 修回日期: 2023-06-15
- 刊出日期: 2023-12-01

A Coupling Analysis of Rainfall Infiltration and Slope Surface Runoff Based on the Numerical Manifold Method

1.
School of Civil Engineering, Hunan University of Science and Technology, Xiangtan, Hunan 411201, P.R.China
2.
Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, P.R.China
3.
School of Civil and Architectural Engineering, Anyang Institute of Technology, Anyang, Henan 455000, P.R.China

(Contributed by ZHENG Hong, M. AMM Editorial Board)

摘要

摘要: 降雨时坡地的入渗-产流分析，是降雨型滑坡、泥石流等地质灾害机理研究中的重要课题之一. 为实现边坡降雨-入渗-产流的全过程数值模拟，进一步提高计算效率，考虑将降雨入渗面视作坡面径流与坡体渗流的内部域，基于一维运动波方程和二维压力水头格式的Richards方程建立耦合模型，并推导出其总体控制方程，采用数值流形法(numerical manifold method, NMM)实现其数值求解，通过编制相应的计算程序分析了边坡降雨产流过程. 数值分析结果表明：所建模型的计算结果与试验数据及前人模拟结果吻合良好，验证了该文模型及计算方法的有效性与可靠性；降雨强度越大，产流时间越早，坡面积水深度越大，对坡体内的水分分布影响范围越广. 研究表明，所建模型能真实反映边坡降雨-入渗-产流全过程，可为降雨诱发的各类地质灾害分析提供计算依据.
- 降雨入渗 /
- 坡面径流 /
- 饱和-非饱和渗流 /
- 数值流形法
Abstract: The infiltration-runoff processes of slopes during rainfall were of significance in the mechanism study of rainfall-induced landslides, debris flows, and other geological disasters. To realize the numerical simulation of the whole rainfall infiltration-runoff process and further improve the computation efficiency, a coupling model and its total governing equations were derived from the 1D kinematic wave equation and the 2D h-based Richards' equation, with the rainfall infiltration surface deemed as the internal domain of the runoff and the seepage. Then the numerical manifold method (NMM) was used to solve the total governing equations, and the computation program was compiled to simulate the rainfall infiltration-runoff processes of slopes. The numerical analysis results showed that, the coupling model solution is in good agreement with the experimental data and previous results, verifying the validity and reliability of the proposed model. The higher the rainfall intensity is, the earlier the runoff producing time will be; the deeper the ponding depth is, and the wider the influence range on the water distribution within the slope will be. The proposed model can truly reflect the whole rainfall infiltration-runoff process of the slope, and provides a calculation basis for the analysis of various geological disasters induced by rainfall.
- rainfall infiltration /
- slope runoff /
- saturated-unsaturated seepage /
- numerical manifold method
edited-by

edited-by
注释:

1) (我刊编委郑宏来稿)

HTML全文

图 1 边坡降雨-入渗-产流示意图

Figure 1. The diagrammatic sketch of rainfall-infiltration-runoff of the slope

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图 2 NMM的覆盖系统

Figure 2. Cover systems of the NMM

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图 3 Abdul-Gillham试验计算几何模型

Figure 3. The geometric model for the Abdul-Gillham system

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图 4 Abdul-Gillham试验几何模型及数学覆盖

Figure 4. Geometric models and mathematical covers of the Abdul-Gillham system

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图 5 坡脚出流过程对比

Figure 5. Discharges at the base of the slope

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图 6 Smith试验计算几何模型

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 6. The geometric model for the Smith system

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图 7 坡脚出流过程对比

Figure 7. Discharges at the base of the slope

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图 8 x=5.6 m剖面土体饱和度演化过程

Figure 8. Evolutions of the saturation degree along the profile for x=5.6 m

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图 9 均质边坡几何模型

Figure 9. The geometric model for the homogeneous slope

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图 10 土-水特征曲线及渗透性函数

Figure 10. The soil-water characteristic curve and the permeability function

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图 11 平衡条件下的坡面水位线

Figure 11. Flow depths of the slope

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图 12 坡脚出流过程

Figure 12. Discharges at the base of the slope

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图 13 降雨结束时刻工况1边坡压力水头分布

Figure 13. The pressure head distribution of the slope in case 1 at the end of rainfall

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图 14 降雨结束时刻工况1边坡表层压力水头分布(单位: m)

Figure 14. The pressure head distribution at the surface of the slope in case 1 at the end of rainfall (unit: m)

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表 1 降雨工况

Table 1. The rainfall intensities

case number	1	2	3	4	5
rainfall intensity I/(m/min)	2.502×10^－3	2.085×10^－3	1.668×10^－3	1.251×10^－3	8.340×10^－4

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