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多孔介質中微觀力的作用及滲流模型

Seepage model considering micro forces in porous media

  • 摘要: 在現有微尺度流動實驗和理論認識的基礎上,建立了包含范德華力、靜電力、空間位型力、表面張力等微觀力的特性方程,分析了影響多孔介質中流體流動的微觀力種類和作用范圍.通過建立考慮微觀力作用的圓管流動數學模型,構造了考慮微觀力作用的多孔介質的毛管束網絡數學模型,推導了考慮微觀力作用的相對滲透率模型.通過模擬分析闡明了微觀力在多孔介質壁面上的作用及對滲流的影響.模擬結果表明微觀力在細小孔隙流動中不可忽略.

     

    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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