岩土力学 ›› 2025, Vol. 46 ›› Issue (11): 3329-3345.doi: 10.16285/j.rsm.2024.1479CSTR: 32223.14.j.rsm.2024.1479

• 基础理论与实验研究 •    下一篇

考虑根系对水文特性影响下非饱和植被土中水分一维瞬态渗流解析解

王浩1, 2,侯泓冰1, 2,江文豪1, 2   

  1. 1. 福州大学 紫金地质与矿业学院,福建 福州 350108;2. 福州大学 地质工程福建省高校工程研究中心,福建 福州 350108
  • 收稿日期:2024-12-01 接受日期:2025-02-21 出版日期:2025-11-14 发布日期:2025-11-11
  • 通讯作者: 江文豪,男,1996年生,博士,副教授, 主要从事边坡工程、环境岩土工程方面的研究。E-mail: Geo_Jiang2020@163.com
  • 作者简介:王浩,男,1978年生,博士,教授,主要从事地质灾害防治、环境岩土工程等方面的研究。E-mail: h_wang@126.com
  • 基金资助:
    福州大学科研启动基金项目(No. 511503);国家自然科学基金面上项目(No. 42477165)。

Analytical solution for one-dimensional transient seepage of water in the unsaturated vegetated soil considering the effects of roots on hydrological properties

WANG Hao1, 2, HOU Hong-bing1, 2, JIANG Wen-hao1, 2   

  1. 1. Zijin School of Geology and Mining, Fuzhou University, Fuzhou, Fujian 350108, China; 2. Engineering Research Center of Geological Engineering, Fuzhou University, Fuzhou, Fujian 350108, China
  • Received:2024-12-01 Accepted:2025-02-21 Online:2025-11-14 Published:2025-11-11
  • Supported by:
    This work was supported by the Project of Research Initiation Fund of Fuzhou University (511503) and the Project of National Natural Science Foundation of China (42477165).

摘要:

在自然环境和工程场景中,不仅存在裸露非饱和土,也存在被植被覆盖的非饱和土(即非饱和植被土)。针对根系为均匀形的非饱和植被土,在考虑根系对水文特性影响的基础上,通过一些简化假定和变量代换得到了线性化的水分一维瞬态渗流控制方程。采用分离变量和级数变换等方法,求得了非饱和植被土中水分一维瞬态渗流解析解。随后,将该解析解计算结果与现有解析解和相应有限差分解的计算结果比较,验证了其合理性。最后,以一个简单的植被盖层为例,分析了根系相关参数对其阻隔雨水入渗效果的影响。结果表明,与无植被的单一盖层相比,相同降雨场景下植被盖层底部的累计渗漏量CQb较小,且根系土层厚度lg越大,这种阻隔雨水渗漏的效果越为显著。蒸腾速率Tp的增大可明显降低降雨场景下植被盖层底部的渗漏速率,且随着Tp增大,累计渗漏量CQb呈线性减小趋势。与根系体积占比Rv为0且忽略根系对土体水文特性影响的极端情况相比,当Rv值使得根系土的饱和渗透系数减小时,植被盖层阻隔雨水渗漏的效果会增强,反之则会减弱。总的来说,本研究可为非饱和植被土中水分渗流相关工程实践提供科学指导。

关键词: 非饱和植被土, 瞬态渗流, 解析解, 水文特性, 根系吸水

Abstract:

In the natural environment and engineering scenarios, there are not only bare unsaturated soils but also unsaturated soils covered by vegetation (i.e., unsaturated vegetated soils). For the unsaturated vegetated soil with a uniform root architecture, on the basis of considering the effects of roots on the hydrological properties, the linearized governing equations for one-dimensional transient seepage of water are acquired by some simplifying assumptions and variable substitution. The analytical solution for one-dimensional transient seepage of water in the unsaturated vegetated soil is obtained through the methods of separation of variable and series transformation. Subsequently, the computational results of this analytical solution have been compared with those of the existing analytical solution and the corresponding finite-difference solution to verify its reasonableness. Finally, a simple vegetated cover is taken as an example to analyze the influences of root-related parameters on its effectiveness in blocking rainwater infiltration. The results show that the cumulative leakage CQb at the bottom zone of a vegetated cover under the same rainfall scenario is smaller than that of a single cover without vegetation, and an increase in the rooted soil thickness lg enhances the effectiveness of the vegetated cover in blocking rainwater leakage. The increase of the transpiration rate Tp significantly reduces the leakage rate at the bottom zone of the vegetated cover under the rainfall scenario, and the cumulative leakage CQb tends to decrease linearly with an increase in Tp. Compared with the extreme case where the root volume ratio Rv is zero and the effects of roots on the hydrological properties of soil are ignored, the effectiveness of the vegetated cover in blocking rainwater leakage is enhanced when the saturated permeability coefficient of the rooted soil decreases due to the value Rv, and conversely, it is weakened. Overall, this study could provide scientific guidance for engineering practices related to water infiltration in unsaturated vegetated soils.

Key words: unsaturated vegetated soil, transient seepage, analytical solution, hydrologic properties, root water uptake

中图分类号: TV 139.1
[1] 江文豪, 王浩, 廖光志, 陈滨华, . 时变降雨场景下双层非饱和土中水分一维瞬态渗流解析解[J]. 岩土力学, 2025, 46(9): 2721-2737.
[2] 周航, 汪义圣, 亓戈平, . 黏弹性土中异形桩横向动力响应半解析解[J]. 岩土力学, 2025, 46(3): 761-774.
[3] 张智卿, 刘鑫, 刘开富, 吴君涛, 吴文兵, . 横观各向同性土体中端承桩水平振动特性分析[J]. 岩土力学, 2025, 46(11): 3371-3382.
[4] 江学辉, 颜建伟, 罗文俊, 李佳宝, 徐长节. 纵向压力和加固钢板对隧道力学性能影响的解析解[J]. 岩土力学, 2024, 45(6): 1623-1632.
[5] 王亦炀, 李传勋, 李阔, 陆向综. 竖井地基大应变非线性固结解析解[J]. 岩土力学, 2024, 45(5): 1446-1456.
[6] 刘景锦, 罗学思, 雷华阳, 郑刚, 罗昊鹏, . 等应变条件下增压式真空预压固结解析解[J]. 岩土力学, 2024, 45(3): 809-821.
[7] 高柳, 吕述晖, 王奎华, . 缺陷桩-梁系统的动力特性应用研究[J]. 岩土力学, 2024, 45(10): 3095-3104.
[8] 张玉国, 杨文兵, 赵雅纯, 王闯, 赵亚敏. 双向渗流下考虑应力时空效应的组合桩复合地基固结理论研究[J]. 岩土力学, 2024, 45(1): 184-196.
[9] 余俊, 李东凯, 和振, 张志中. 带有两端防渗墙坝基的各向异性渗流解析解[J]. 岩土力学, 2023, 44(8): 2381-2388.
[10] 黄娟, 和振, 余俊, 杨鑫歆. 渗透各向异性圆形围堰稳态渗流场解析解[J]. 岩土力学, 2023, 44(4): 1035-1043.
[11] 郑长杰, 崔亦秦, 吴琛, 罗通, 栾鲁宝, . 竖向入射S波作用下单桩水平地震响应简化解析方法[J]. 岩土力学, 2023, 44(2): 327-336.
[12] 余俊, 张志中, 郑靖凡, 和振. 水位波动条件下有封底基坑渗流场孔压解析解[J]. 岩土力学, 2023, 44(12): 3415-3423.
[13] 余俊, 张扬, 郑靖凡, 张志中. 考虑潜水面的基坑二维稳态渗流场解析解[J]. 岩土力学, 2023, 44(11): 3109-3116.
[14] 李炯, 李明广, 詹红兵, 陈锦剑, 夏小和, 张硕. 井周堵塞对承压含水层定流量回灌渗流场影响的半解析研究[J]. 岩土力学, 2023, 44(10): 2871-2878.
[15] 朱赛男, 陈艳华, 王宁, 李伟华, 张为为. 平面P1波入射下海底隧道与海床土交界面 滑移接触效应解析解[J]. 岩土力学, 2023, 44(10): 3049-3058.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!