东南大学学报(自然科学版)2016,Vol.46Issue(z1):117-122,6.DOI:10.3969/j.issn.1001-0505.2016.S1.021
膨润土膨胀变形的分形模型
Fractal model for swelling of bentonite
摘要
Abstract
To develop engineered barriers using bentonite and its mixtures with sand, it is very nec-essary to quantitatively evaluate the swelling characteristics of bentonite and its mixtures. Swelling properties of bentonite occur simultaneously with water absorption, and the adsorption water volume of bentonite is related to its surface characteristics, which can be described by fractals, so the rela-tionship between adsorption water volume and vertical stress can be established. Calculation theories of swelling deformation, erosion threshold, erosion mass and compression of saturated bentonite are constructed based on the surface fractal model of bentonite and the fractal model for bentonite aggre-gates. Effective stress induced by osmotic suction is presented using the fractal surface of bentonite to express the swelling properties of bentonite in saline solution. Calculation theories of swelling de-formation, erosion threshold, erosion mass and compression of saturated bentonite are verified by the experimental data. The results show that adsorption water volume is a power function of the vertical stress, and the exponent of power function equals to Ds-3. Erosion threshold is a power function of the diameter and effective density of bentonite aggregates, and the erosion mass of bentonite is a power function of water volume, the exponents of power function are related to the fractal dimension of bentonite aggregates.关键词
膨润土/膨胀变形/分形/表面分维/溶质吸力/有效应力Key words
bentonite/swelling deformation/fractals/surface fractal dimension/osmotic suction/ef-fective stress分类
建筑与水利引用本文复制引用
徐永福..膨润土膨胀变形的分形模型[J].东南大学学报(自然科学版),2016,46(z1):117-122,6.基金项目
国家自然科学基金资助项目(41630633,41472251) (41630633,41472251)