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Two-phase dispersion in porous media

机译:多孔介质中的两相分散

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摘要

For two-phase flow through heterogeneous porous medium, a macroscale model is deduced which takes into account the dispersion phenomenon. The capillary pressure is neglected. The dispersion tensor is shown to be a non-linear non-monotonous function of saturation which also depends on the viscosity ratio. For the gravity induced flow, this function may be negative. It is shown explicitly that the dispersion versus saturation function has the same shape as the capillary diffusion function in the classical Backley-Leverett model which has, however, a different physical origin. The nonlinear structure of the dispersion tensor gives rise to an asymmetry of the saturation profile in the displacement process which is confirmed by network numerical simulation.
机译:对于通过非均相多孔介质的两相流,推导了考虑了分散现象的宏观模型。毛细管压力被忽略。色散张量显示为饱和度的非线性非单调函数,其还取决于粘度比。对于重力感应流,此功能可能为负。明确显示,色散对饱和度函数的形状与经典Backley-Leverett模型中的毛细管扩散函数的形状相同,但是其物理起源不同。色散张量的非线性结构在位移过程中引起饱和度轮廓的不对称,这通过网络数值模拟得到了证实。

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