土水特征曲线的通用数学模型研究.pdfVIP

( ) 2004/ 12 02 018205 　J ournal of Engineering Geology 　工程地质学报 土水特征曲线的通用数学模型研究 戚国庆 　黄润秋 (成都理工大学地质灾害防治与地质环境保护国家专业实验室 　成都 　610059) 摘 　要 　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 。 关键词 　土水特征曲线 　通用数学模型 　幂函数多项式 　基质吸力 中图分类号 :TU43 　　文献标识码 :A AN UNIVERSAL MATHEMATICAL MOD EL OF SOIL - WATER CHARAC TERISTIC CURVE QI Guoqing HUAN G Runqiu ( ) Chengdu University of Technology , Chengdu , 　610069 Abstract 　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 . Mathemati cal 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 , mathe matical models of soil - water characteristic curve are divided into four types based on the patterns of mathematical mod els. 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 mathemati