一种基于物理化学基础分析的土水特征曲线模型
Understanding and modelling soil-water characteristic curves
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摘要: 土水特征曲线是非饱和土的一个重要的本构特性。它对于研究非饱和土的物理力学特性至关重要,同时也是非饱和土动态水力分析的一个必要条件。长期以来对这一特性的理论解释一直是对研究者的一个挑战。由于岩土内部结构的复杂多变性,而非饱和土的含水状态又涉及到许多物理及化学的影响因素,至今还未能有一个圆满的数学模型在描述这一特性时能够全面概括这些机理。首先综述了目前国际上的主要研究成果。之后,在传统的孔隙介质分析方法的基础上,利用现代表面科学的理论,分析并存于非饱和土孔隙中的水、汽两相的物理化学行为,最后利用平均理论推导出一个宏观尺度下的土水特征曲线的理论表达式。这一理论表达式揭示了土水特征曲线背后的物理化学机理,对该表达式的数学分析发现它能够很好地解释实验中所观察到的现象。最后根据这一理论表达式,提出了一个简化的土水特征曲线拟合模型。通过对多种土壤以及其他孔隙材料的实验结果的模拟证明这一模型不仅能非常好地拟合实验结果,而且优于其它现有的主要模型。Abstract: The soil-water characteristic curve(SWCC) is an important constitutive feature of unsaturated soils.Meanwhile it is also an indispensable requirement in hydraulic transport modelling and soil mechanics analysis.In this paper,at first,a review of the development in SWCC modeling was given,then the soil-water characteristics was explained according to the physical and chemical behaviours of the phases involved in unsaturated porous media.Using the traditional capillary theory,the volume averaging theorem and the advanced interfacial surface theory,a formula representing the soil-water characteristics of unsaturated porous media was derived.In this formula the internal linkage of the SWCC to the specific surface area of soil porosities was demonstrated,and agreed with the experimental observations mathematically.Based on this formula,a fitting model was proposed for the SWCC.Finally,this model was tested to fit the SWCC measurements of a wide range of porous materials,and compared with other main models.