相间相互作用原理与土壤水动力学基本方程

Interaction principle and general momentum equilibrium equation for fluid flow in multiphase media

  • 摘要: 进一步阐明了多相介质力学分析的相间相互作用原理.应用相间相互作用原理重新推导了饱和土壤和非饱和土壤水分运动的控制方程,使两者具有统一的表达形式和理论基础.说明了达西定律的物理意义,在此基础上给出了非饱和土壤导水系数与饱和土壤渗透系数之间关系的表达式,该表达式在饱和条件下退化为饱和土的渗透系数.引用大连地区亚粘土和硅微粉在非饱和稳态渗流条件下的渗透试验结果验证了导水系数和饱和土的渗透系数之间的关系.

     

    Abstract: The interaction principle for equilibrium analysis of multiphase media is illustrated in this paper.Then a uniform differential momentum equation,which governs the pore fluid flow in multiphase media, e.g.either saturated or unsaturated soils,is deduced based on the principle.By assuming that pore water flowing is in laminar flow,i.e.,interaction between fluid phase and solid phase is proportional to water velocity,the Darcy's Law formula can be inferred.In this way,physical meaning of the Darcy's Law for saturated soil is explained.The formula expressing the relationship between the permeability and soil potential and water content in unsaturated soil is also derived.Mme permeability testing results of clay and siliceous powder in steady hydraulic gradient are presented in this paper.These results are well agreeable to the theoretical prediction by the momentum equation.

     

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