土水特征曲线的通用数学模型研究

土水特征曲线对于研究非饱和土的物理力学特性至关重要。根据土水特征曲线可以确定非饱和土的强度、体应变和渗透系数 ,甚至可以确定地下水面以上水份分布。由于土体物理力学特性的差异 ,导致描述其土水特征曲线的数学模型也各不相同。因此 ,建立土水特征曲线的通用数学表达式 ,显得尤为必要。本文对土水特征曲线数学模型进行了研究 ,依据这些模型的数学表达式形式 ,将其划分为 4种类型。分别由这 4种类型的数学模型推导出具有统一表达式形式的土水特征曲线通用数学模型 ,并运用陕北高原黄土土水特征曲线试验数据对通用数学模型进行了研究

AN UNIVERSAL MATHEMATICAL MODEL OF SOIL-WATER CHARACTERISTIC CURVE

The soil-water characteristic curve is very important for studying the physical and mechanical characteristics of unsaturated soils. Strength, volumetric strain and permeability coefficient, and even moisture-distribution above ground water surface can be determined by the soil-water characteristic curve. A mathematical model of soil-water characteristic curve is established, based on soil, structure and the shape of soil-water characteristic curve. Mathematical models of soil-water characteristic curve differ due to varying physical and mechanical properties of unsaturated soils. It is, thus, necessary to establish universal expression of soil-water characteristic curve. In this paper, mathematical models of soil-water characteristic curve are divided into four types based on the patterns of mathematical models. An universal mathematical model with unified functional pattern is derived. The soil-water characteristic curve of loessal soils in north Shaannxi loess plateau, is used to verify the universal mathematical model.