无限长均质斜坡降雨入渗解析解

李宁; 许建聪

无限长均质斜坡降雨入渗解析解 English Version

李宁¹²,
许建聪¹²

1. 同济大学岩土及地下工程教育部重点实验室，上海 200092;
2. 同济大学地下建筑与工程系，上海 200092

基金项目: 国家自然科学基金项目（40872179）

详细信息

作者简介:
李宁(1982- )，男，博士研究生，主要从事岩土工程、地下结构工程等方面的研究工作。E-mail：lining0017@163.com。

中图分类号: TU43
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出版历程
- 收稿日期: 2012-01-01
- 发布日期: 2012-12-24

Analytical solutions for rainfall infiltration into homogenous infinite slopes

LI Ning¹²,
XU Jian-cong¹²

1. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China;
2. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China

摘要

摘要: 降雨是导致边坡失稳的最主要的环境因素，研究降雨入渗对边坡稳定性的影响，关键和难点是计算降雨入渗在边坡土体中引起的渗流场。采用Fourier积分变换分别对降雨强度小于和大于土体饱和渗透系数情况下的斜坡入渗解析解进行了推导，并给出了这两种情况下斜坡入渗解析解的统一表达式。该解不仅能反映非饱和土特性及斜坡的影响，还能反映当降雨强度大于土体饱和渗透系数时，坡面边界由流量边界转化为水头边界的动态变化过程，便于更全面地对降雨情况下斜坡的入渗规律进行研究。通过与有限元软件的计算结果进行对比，证明该解是稳定可靠的，且其形式简单，计算效率高；该解可精确计算坡面积水时间及任意时间点及空间点的孔隙水压力值，并用于评估降雨入渗对非饱和土斜坡稳定性的影响。
- 非饱和土 /
- 无限长斜坡 /
- 降雨入渗 /
- 解析解
Abstract: Rainfall is the main environmental factor for the failure of slopes. To study the effect of the rainfall on the slope stability, the most important thing is to obtain the seepage field in slopes under rainfall condition. By using the Fourier integral transform, the analytical solutions for water infiltration into the slopes under rainfall, of which the intensity is less or more than saturated permeability coefficient of soils, are developed, and the unified analytical expression for water infiltration into the slopes under the two rainfall conditions is presented. The analytical solution can consider the dynamic changing process, in which the boundary condition of slopes changes from flux boundary to pressure one, as well as the properties of unsaturated soils and the effect of slopes. It is convenient to study the laws of water infiltration into slope more comprehensively. By comparing the analytical solutions with those obtained from numerical simulation, it is proved that the analytical solutions are reasonable, simple and efficient in computation. They can be used to calculate the ponding time and the pore water pressure at arbitrary point of the slope at any time, as well as to evaluate the effect of the rainfall infiltration on the stability of unsaturated soil slopes.
- unsaturated soil /
- infinite slope /
- rainfall infiltration /
- analytical solution

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参考文献(19)

[1]	刘新喜,晏鄂川,王鹏飞,等. 滑坡稳定性评价的非线性方法[J]. 中国安全科学学报, 2003,13(1):34-36 LIU Xin-xi, YAN E-chuan, WANG Peng-fei,et al. Nonlinear method for evaluating the landslide stability[J]. China Safety Science Journal, 2003,13(1):34-36. (in Chinese))
[2]	刘新喜,夏元友,蔡俊杰,等. 降雨入渗下强风化软岩高填方路堤边坡稳定性研究[J]. 岩土力学, 2007,28(8):1705-1709 LIU Xin-xi, XIA Yuan-you, CAI Jun-jie,et al. Study on stability of high-filled embankment slope of highly weathered soft rock under rainfall infiltration[J]. Rock and Soil Mechanics, 2007,28(8):1705-1709. (in Chinese))
[3]	许建聪,尚岳全,陈侃福,等. 强降雨作用下的浅层滑坡稳定性分析[J]. 岩石力学与工程学报, 2005,24(18)： 3246-3251. (XU Jian-cong, SHANG Yue-quan, CHEN Kan-fu, et al. Analysis of shallow landslide stability under intensive rainfall[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(18):3246-3251. (in Chinese))
[4]	郭璇,赵成刚,于威威. 非饱和土边坡稳定的安全分析及进展[J]. 中国安全科学学报, 2005,15(1):14-18 GUO Xuan, ZHAO Cheng-gang, YU Wei-wei. Stability analysis of unsaturated soil slope and its progress[J]. China Safety Science Journal, 2005,15(1):14-18. (in Chinese))
[5]	吴宏伟,陈守义,庞宇威. 雨水入渗对非饱和土坡稳定性影响的参数研究[J]. 岩土力学, 1999,20(1):1-13 NG C W W, CHEN Shou-yi, PANG Yue-wai. Parametric study of effects of rain infiltration on unsaturated slopes[J]. Rock and Soil Mechanics, 1999,20(1):1-13. (in Chinese))
[6]	荣冠,张伟,周创兵. 降雨入渗条件下边坡岩体饱和非饱和渗流计算[J]. 岩土力学, 2005,26(10):1545-1550 RONG Guan, ZHANG Wei, ZHOU Chuang-bing. Numerical analysis of saturated-unsaturated seepage problem of rock slope under rainfall infiltration[J]. Rock and Soil Mechanics, 2005,26(10):1545-1550. (in Chinese))
[7]	谭新,陈善雄,杨明. 降雨条件下土坡饱和-非饱和渗流分析[J]. 岩土力学, 2003,24(3):381-384 TAN Xin, CHEN Shan-xiong, YANG Ming. Saturated-unsaturated seepage analysis of slope under rainfall[J]. Rock and Soil Mechanics, 2003,24(3):381-384. (in Chinese))
[8]	李兆平,张弥. 考虑降雨入渗影响的非饱和土边坡瞬态安全系数研究[J]. 土木工程学报, 2001,34(5):57-61 LI Zhao-ping, ZHANG Mi. Effects of rain infiltration on transient safety of unsaturated soil slope[J]. China Civil Engineering Journal, 2001,34(5):57-61. (in Chinese))
[9]	吴长富,朱向荣,尹小涛,等. 强降雨条件下土质边坡瞬态稳定性分析[J]. 岩土力学, 2008,29(2):386-391 WU Chang-fu, ZHU Xiang-rong, YIN Xiao-tao,et al. Analysis of soil slopes transient stability under intensive rainfall[J]. Rock and Soil Mechanics, 2008,29(2):386-391. (in Chinese))
[10]	詹良通,贾官伟,陈云敏,等. 考虑土体非饱和特性的无限长斜坡降雨入渗解析解[J]. 岩土工程学报, 2010,32(8):1214-1220 ZHAN Liang-tong, JIA Guan-wei, CHEN Yun-min,et al. Analytical solution for rainfall infiltration into infinite long slopes considering properties of unsaturated soil[J]. Chinese Journal of Geotechnical Engineering, 2010,32(8):1214-1220. (in Chinese))
[11]	ZHAN L T, NG C W W. Analytical analysis of rainfall infiltration mechanism in unsaturated soils[J]. International Journal of Geomechanics, 2004,4:273-284
[12]	BASHA H A. Multidimensional linearized nonsteady infiltration toward a shallow water table[J]. Water Resources Research, 2000,36(9):2567-2573
[13]	SRIVASTAVA R, YEH T C J. Analytical solutions for one-dimensional, transient infiltration toward the water table in homogeneous and layered soils[J]. Water Resources Research, 1991,27(5):753-762
[14]	CHEN J M, TAN Y C, CHEN C H. Multidimensional infiltration with arbitrary surface fluxes[J]. Journal of Irrigation and Drainage Engineering, ASCE,2001, 127(6):370-377
[15]	CHEN L, YOUNG M H. Analytical Green-Ampt infiltration model for sloping surfaces[J]. Water Resources Research, 2006,42:1-9
[16]	IVERSON R M. Landslides triggering by rain infiltration[J]. Water Resources Research, 2000,36(7):1897-1910
[17]	雷志栋,杨诗秀,谢森传. 土壤水动力学[M]. 北京: 清华大学出版社, 1988. LEI Zhi-dong, YANG Shi-xiu, XIE Shen-chuan. Soil water dynamics[M]. Beijing: Tsinghua University Press, 1988.(in Chinese))
[18]	朱伟,程南军,陈学东,等. 浅谈非饱和渗流的几个基本问题[J]. 岩土工程学报, 2006,28(2):235-240 ZHU Wei, CHENG Nan-jun, CHEN Xue-dong,et al. Some fundamental problems of unsaturated seepage[J]. Chinese Journal of Geotechnical Engineering, 2006,28(2):235-240. (in Chinese))
[19]	OZISIK M N. Boundary value problems of heat conduction[M]. New York: Dover, 2002:58-63

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无限长均质斜坡降雨入渗解析解 English Version

作者简介: 李 宁(1982- )，男，博士研究生，主要从事岩土工程、地下结构工程等方面的研究工作。E-mail：lining0017@163.com。

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出版历程

Analytical solutions for rainfall infiltration into homogenous infinite slopes

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出版历程

目录

作者简介:
李宁(1982- )，男，博士研究生，主要从事岩土工程、地下结构工程等方面的研究工作。E-mail：lining0017@163.com。