中峰型降雨条件下均质地基瞬态基质吸力解析解

doi:10.13438/j.cnki.jdzk.2025.02.005

吉首大学学报（自然科学版） ›› 2025, Vol. 46 ›› Issue (2): 39-44.DOI: 10.13438/j.cnki.jdzk.2025.02.005

中峰型降雨条件下均质地基瞬态基质吸力解析解

熊轩宇，秦卫星，徐瑞麟，胡惠仁，陈检，吴亦晗

（1.长沙理工大学水利与环境工程学院，湖南长沙 410114；2.水沙科学与水灾害防治湖南省重点实验室，湖南长沙 410114；3.浙江大学建筑工程学院，浙江杭州 310056；4.长沙理工大学交通运输工程学院，湖南长沙 410114；5.长沙理工大学国际工学院，湖南长沙 410114）

出版日期:2025-03-25 发布日期:2025-04-30
作者简介:熊轩宇(1998—),男,湖南凤凰人,长沙理工大学水利与环境工程学院硕士研究生,主要从事岩土体灾变研究
基金资助:
国家自然科学基金资助项目（51208062，51508039）；湖南省自然科学基金资助项目（2022JJ30601）

Analytical Solution of Transient Matrix Suction for Homogeneous Foundation Under Medium-Peak Rainfall Infiltration

XIONG Xuanyu,QIN Weixing,XU Ruilin,HU Huiren,CHEN Jian,WU Yihan

(1.School of Hydraulic and Environmental Engineering,Changsha University of Science & Technology,Changsha 410114,China;2.Key Laboratory of Water-Sediment Sciences and Water Disaster Prevention of Hunan Province,Changsha 410114,China;3.College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310056,China;4.School of Traffic & Transportation Engineering,Changsha University of Science & Technology,Changsha 410114,China;5.International College of Engineering,Changsha University of Science & Technology,Changsha 410114,China)

Online:2025-03-25 Published:2025-04-30

摘要/Abstract

摘要：为了揭示中峰型降雨入渗对地基基质吸力时空分布的影响，从瞬态非饱和渗流控制方程出发，引入Gardner水力特征函数，构建了降雨条件下地基水分迁移模型.利用Fourier积分变换法求解模型，获得了中峰型降雨入渗过程地基瞬态基质吸力解析解.该解析解建立了地基基质吸力与降雨特征参数之间的映射关系，通过其得到了中峰型降雨条件下地基任意位置的基质吸力演化规律.

关键词： 非饱和土, 均质地基, 瞬态基质吸力, 降雨入渗, 解析解

Abstract: In order to reveal the influence of medium-peak rainfall infiltration on the spatial-temporal distribution of matrix suction,the Gardner soil-water characteristic function is introduced to simplify the Richards transient unsaturated seepage equation and to establish a water transport model for a homogeneous foundation under medium-peak rainfall infiltration.Fourier integral transform is used to obtain a analytical solution of the transient matric suction during rainwater infiltration under medium-peak rainfall.The analytical solution establishes the mapping relationship between the matric suction of unsaturated foundation and the rainfall characteristic parameters,which provides a theoretical method for quickly and accurately obtaining the matrix suction and its evolution law at any position of the foundation during the infiltration process of central-peaked pattern.

Key words: unsaturated soil, homogeneous foundation, transient matrix suction, rainfall infiltration, analytical solution

熊轩宇, 秦卫星, 徐瑞麟, 胡惠仁, 陈检, 吴亦晗. 中峰型降雨条件下均质地基瞬态基质吸力解析解[J]. 吉首大学学报（自然科学版）, 2025, 46(2): 39-44.

XIONG Xuanyu, QIN Weixing, XU Ruilin, HU Huiren, CHEN Jian, WU Yihan. Analytical Solution of Transient Matrix Suction for Homogeneous Foundation Under Medium-Peak Rainfall Infiltration[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(2): 39-44.

参考文献

[1] VAHEDIFARD FARSHID,ROBINSON JOE D.Unified Method for Estimating the Ultimate Bearing Capacity of Shallow Foundations in Variably Saturated Soils Under Steady Flow[J].Journal of Geotechnical & Geoenvironmental Engineering,2016,142(4):04015095.DOI:10.1061/(ASCE)GT.1943-5606.0001445.
[2] 陈茜,程大伟.稳态流下非饱和土地基承载力模型[J].土木建筑与环境工程,2018,40(6):9-14.
[3] 胡惠仁,秦卫星,吴卫东,等.均质地基基质吸力演化及影响参数显著性分析[J].铁道科学与工程学报,2019,16(6):1405-1411.
[4] 徐瑞麟,秦卫星,胡惠仁,等.雨水入渗条件下地基瞬态极限承载力解析解及其应用[J].中南大学学报(自然科学版),2022,53(10):4048-4056.
[5] SRIVASTAVA RAJESH,YEH T-C JIM.Analytical Solutions for One-Dimensional,Transient Infiltration Towards the Water Table in Homogeneous and Layered Soils[J].Water Resources Research,1991,27(5):753-762.
[6] 徐瑞麟,秦卫星,何勇,等.前峰型降雨入渗过程双层地基基质吸力解析解[J].吉首大学学报(自然科学版),2022,43(3):57-65;83.
[7] 吴礼舟,张利民,黄润秋.成层非饱和土渗流的耦合解析解[J].岩土力学,2011,32(8):2391-2396.
[8] 李宁,许建聪.无限长均质斜坡降雨入渗解析解[J].岩土工程学报,2012,34(12):2325-2330.
[9] 邱清文,詹良通,黄依艺.考虑任意初始条件的均质土质覆盖层降雨入渗解析解[J].岩土工程学报,2017,39(2):359-365.
[10] 胡惠仁.降雨条件下非饱和土地基承载性能演化研究[D].长沙：长沙理工大学,2019.
[11] 秦卫星,邓传雄,胡惠仁,等.后峰型降雨入渗条件下地基瞬态极限承载力解析解[J].水利水电科技进展,2023,43(2):33-38.
[12] ZHAN T L T,QIU Q W,XU W J.Analytical Solution for Infiltration and Deep Percolation of Rainwater into a Monolithic Cover Subjected to Different Patterns of Rainfall[J].Computers and Geotechnics,2016,77:1-10.
[13] GARDNER W R.Some Steady-State Solutions of the Unsaturated Moisture Flow Equation with Application to Evaporation from a Water Table[J].Soil Science,1958,85(4):228-232.
[14] HUANG Changxi,WANG Xinghua,ZHANG Min,et al.Supporting Characteristics of Soldier Piles for Foundation Pits Under Rainfall Infiltration[J].Advances in Civil Engineering,2019(7):1-10.
[15] 毛洋洋,赵艳霞,张祎,等.五个常见日太阳总辐射模型在华北地区的有效性验证及分析[J].中国农业气象,2016,37(5):520-530.

中峰型降雨条件下均质地基瞬态基质吸力解析解

Analytical Solution of Transient Matrix Suction for Homogeneous Foundation Under Medium-Peak Rainfall Infiltration

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