成层非饱和土渗流的耦合解析解

›› 2011, Vol. 32 ›› Issue (8): 2391-2396.

成层非饱和土渗流的耦合解析解

吴礼舟¹，张利民²，黄润秋¹

1.成都理工大学地质灾害防治国家重点实验室，成都 610059；2.香港科技大学土木系，香港九龙

收稿日期:2010-06-07 出版日期:2011-08-10 发布日期:2011-08-16
作者简介:吴礼舟，男，1975年生，博士，副教授，主要从事工程地质和岩土工程科研教学工作
基金资助:
国家自然科学基金（No. 40902087）；香港Research Grants Council（No. 622207）；教育部科学技术研究重点项目（No. 110186）；教育部博士点新教师基金（No. 20095122120007）；四川省杰出青年学术技术带头人培育计划（No. 2010JQ0034）

Analytic solution to coupled seepage in layered unsaturated soils

WU Li-zhou¹, ZHANG Li-min², HUANG Run-qiu¹

1. State Key Laboratory of Geological Hazard Prevention and Geological Environment Protection, Chengdu University of Technology, Chengdu 610059, China; 2. Department of Civil and Environmental Engineering, HongKong University of Science and Technology, Kowloon, Hong Kong, China

Received:2010-06-07 Online:2011-08-10 Published:2011-08-16

摘要/Abstract

摘要： 成层土在工程中很常见，研究降雨过程中成层非饱和土的渗流-变形耦合对非饱和土土力学的发展具有重要的意义。由流体质量守恒，Darcy定律和Lloret等的非饱和土本构模型可得成层非饱和土渗流-变形耦合的控制方程。采用Gardner的非饱和土的渗透系数公式以及Boltzman模型，基于Laplace变换得到耦合方程的解析解。解析及其参数分析表明，渗流和变形耦合是具有时间效应的。与吸力变化相关的土的模量F，对成层土的孔隙水压力分布有明显影响。两层土的F差异越大，孔隙水压力消散得越慢，耦合效应越不显著。增大表层土的F值有利于降低耦合效应。成层土饱和体积含水率变化对吸力变化产生有限的影响

关键词: 非饱和土, 渗流和变形, 耦合, 成层土, 降雨入渗

Abstract: Layered soil such as landfill and cracked soils are often found in engineering. Its coupled infiltration and deformation during rainfall is significant for development of unsaturated soil mechanics. Based on fluid mass conservation, Darcy’s law, and the constitutive model proposed by Lloret et al., coupled governing equations for seepage and deformation in unsaturated soils are obtained. The unsaturated coefficient of permeability is expressed using Gardner’s model and the water retention characteristics are expressed using Boltzman’s model. The analytic solution to the coupled equation is developed by Laplace transformation. The analytic solution and parameter analysis results show that the effect of coupling between unsaturated seepage and deformation is related with time. The modulus related to suction changes F has a marked effect on the pore water pressure. The larger the F ratio values for two-layer soils are, the more slowly the suction dissipates. The results indicate that a large F for the top-layer soil can effectively reduce the coupling effect. Volumetric moisture content changes in two-layer soils play a limited role in the suction distribution.

Key words: unsaturated soil, seepage and deformation, coupling, layered soil, rainfall infiltration

中图分类号:

TU 46+2

吴礼舟，张利民，黄润秋. 成层非饱和土渗流的耦合解析解[J]. , 2011, 32(8): 2391-2396.

WU Li-zhou , ZHANG Li-min , HUANG Run-qiu. Analytic solution to coupled seepage in layered unsaturated soils[J]. , 2011, 32(8): 2391-2396.

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