考虑变形效应的非饱和土相对渗透系数模型

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摘要相对渗透系数是土体非饱和渗流分析的重要参数，Mualem统计模型在土体相对渗透系数预测中得到广泛应用。然而，Mualem统计模型假定土体具有刚性的孔隙结构，因而无法反映变形对非饱和渗透系数的影响。笔者最近提出的变形土土水特征曲线模型为基础，建立考虑变形效应的非饱和土相对渗透系数的修正Mualem统计模型。修正模型引入某一饱和度条件下被水充满的平均孔隙半径这一参量，来反映有效饱和度及土体变形过程中孔隙形态变化对其非饱和渗透特性的影响。采用4种不同类型土体的非饱和渗透试验数据对修正模型进行验证。结果表明，修正模型给出的相对渗透系数预测值与实测值的均根误差相比Mualem统计模型减小27%，说明修正模型对于变形条件下土体的相对渗透系数具有更强的预测能力。研究成果为非饱和土渗流规律以及水–力耦合数值模拟等研究提供了更为可靠的理论模型。

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关键词 ：土力学, 非饱和土, 相对渗透系数, 变形, Mualem统计模型, 孔隙分布

Abstract：The relative hydraulic conductivity is indispensable for the seepage flow analysis in unsaturated soils. The Mualem statistical model is widely used to determine this parameter. With the assumption of rigid pore structures，however，the Mualem model is not suitable for describing the relative hydraulic conductivity in deformable soils. On the basis of a newly developed soil-water characteristic curve model for deformable soils developed by the authors，a modified Mualem model was presented，in which the mean radius of pores completely filled by water in a given degree of saturation was adopted to account for the effects of water content and soil deformation on the unsaturated hydraulic conductivity. Experimental data of four types of soils were used to evaluate the modified model. Comparing to the original model，it is indicated that the root mean square error between the experimental measurements and model predictions was reduced by 27%. This more reliable theoretical model can be used for better understanding the seepage flow and coupled hydro-mechanical processes in unsaturated soils.

Key words： soil mechanics unsaturated soils relative hydraulic conductivity deformation Mualem statistical model pore size distribution

收稿日期: 2013-01-11

引用本文:

胡冉1，2，陈益峰1，2，周创兵1，2 . 考虑变形效应的非饱和土相对渗透系数模型[J]. 岩石力学与工程学报, 2013, 32(6): 1279-1287.
HU Ran1，2，CHEN Yifeng1，2，ZHOU Chuangbing1，2. A RELATIVE HYDRAULIC CONDUCTIVITY MODEL FOR UNSATURATED DEFORMABLE SOILS. , 2013, 32(6): 1279-1287.

链接本文:

http://www.rockmech.org/CN/Y2013/V32/I6/1279

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