多孔介质中微观力的作用及渗流模型

Seepage model considering micro forces in porous media

  • 摘要: 在现有微尺度流动实验和理论认识的基础上,建立了包含范德华力、静电力、空间位型力、表面张力等微观力的特性方程,分析了影响多孔介质中流体流动的微观力种类和作用范围.通过建立考虑微观力作用的圆管流动数学模型,构造了考虑微观力作用的多孔介质的毛管束网络数学模型,推导了考虑微观力作用的相对渗透率模型.通过模拟分析阐明了微观力在多孔介质壁面上的作用及对渗流的影响.模拟结果表明微观力在细小孔隙流动中不可忽略.

     

    Abstract: The characteristic equations of micro forces such as van der Waals force, electrostatic force, steric type force and surface tension were established on the basis of the existing experiments and theories of micro flow. The effect of various micro forces on fluid flow in porous media was analyzed in detail. A mathematical model considering the effect of micro forces was constructed for fluid flow in micro tubes. A new relative permeability formula considering micro forces was derived using the capillary bundle model of porous media. Numerical analysis clarified the effect of micro forces on fluid flow in porous media. Simulation results show that micro forces cannot be neglected in micro-scale porous throats.

     

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