非饱和土的理论土-水特征曲线
Theoretical soil—water characteristic curve for unsaturated soils
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摘要: 基于热力学理论建立了规则等直径圆球土颗粒之间的弯液面方程,运用迭代法对这一高度非线性方程组进行了求解,进而确定了理论意义上的基质吸力。文中考虑了基质吸力的作用面积,提出了等效基质吸力和广义土-水特征曲线的概念。分析表明,饱和度为0时等效基质吸力为0,随着饱和度的增大,等效基质吸力逐渐增大,并在某一饱和度处达到最大,此时土的强度最高。针对等直径土颗粒松散排列方式进行了具体计算与讨论。计算表明,与基质吸力相比,等效基质吸力随饱和度的变化并不十分显著,而无论基质吸力还是等效基质吸力均随颗粒空间排列间隙的增大而迅速减小,由此所得到的两种土-水特征曲线强烈地依赖于接触角的变化。Abstract: Based on thermodynamics, nonlinear formulas were established and numerically programmed with an iterative approach for defining equation of meniscus between two regular ball-type soil particles with equal diameter. Therefore the matric suction could be determined accordingly. Considering effective action area of matric suction on granular media, the concepts of equivalent matric suction and generalized soil—water characteristic curve were presented. It was shown that equivalent matric suction depended on saturation and it started from zero for zero saturation and would gain its peak value for a certain saturation where the soil would mobilize its maximum strength and then weakened. The computations and discussions were made for the loosest assembling pattern of soil particles with equal diameter. It was demonstrated that both matric suction and equivalent matric suction would rapidly reduce with the increase of spacing of particles and the soil—water characteristic curves respectively based on both concepts were highly associated with the variation of contact angle of particles.