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首页> 外文期刊>Transport in Porous Media >Modeling Non-Darcian Single- and Two-Phase Flow in Transparent Replicas of Rough-Walled Rock Fractures
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Modeling Non-Darcian Single- and Two-Phase Flow in Transparent Replicas of Rough-Walled Rock Fractures

机译：粗糙壁裂缝透明副本中的非达西单相和两相流建模

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摘要

While it is generally assumed that in the viscous flow regime, the two-phase flow relative permeabilities in fractured and porous media depend uniquely on the phase saturations, several studies have shown that for non-Darcian flows (i.e., where the inertial forces are not negligible compared with the viscous forces), the relative permeabilities not only depend on phase saturations but also on the flow regime. Experimental results on inertial single-and two-phase flows in two transparent replicas of real rough fractures are presented and modeled combining a generalization of the single-phase flow Darcy's law with the apparent permeability concept. The experimental setup was designed to measure injected fluid flow rates, pressure drop within the fracture, and fluid saturation by image processing. For both fractures, single-phase flow experiments were modeled by means of the full cubic inertial law which allowed the determination of the intrinsic hydrodynamic parameters. Using these parameters, the apparent permeability of each fracture was calculated as a function of the Reynolds number, leading to an elegant means to compare the two fractures in terms of hydraulic behavior versus flow regime. Also, a method for determining the experimental transition flow rate between the weak inertia and the strong inertia flow regimes is proposed. Two-phase flow experiments consisted in measuring the pressure drop and the fluid saturation within the fractures, for various constant values of the liquid flow rate and for increasing values of the gas flow rate. Regardless of the explored flow regime, two-phase flow relative permeabilities were calculated as the ratio of the single phase flow pressure drop per unit length divided by the two-phase flow pressure drop per unit length, and were plotted versus the measured fluid saturation. Results confirm the dependence of the relative permeabilities on the flow regime. Also the proposed generalization of Darcy's law shows that the relative permeabilities versus fluid saturation follow physical meaningful trends for different liquid and gas flow rates. The presented model fits correctly the liquid and gas experimental relative permeabilities as well as the fluid saturation.
机译：一般认为，在粘性流态下，裂隙介质和多孔介质中的两相流相对渗透率仅取决于相饱和度，但多项研究表明，对于非达西流（即惯性力不与粘性力相比微不足道），相对渗透率不仅取决于相饱和度，而且取决于流动状态。提出并模拟了真实粗糙裂缝的两个透明副本中的惯性单相和两相流，并结合了单相流达西定律的泛化与视在渗透率的概念进行了建模。实验装置设计为通过图像处理来测量注入的流体流速，裂缝内的压降和流体饱和度。对于这两个裂缝，均利用全立方惯性定律对单相流动实验进行建模，从而确定固有的流体动力参数。使用这些参数，计算出每条裂缝的表观渗透率是雷诺数的函数，从而形成了一种比较优美的手段，可以根据水力行为与流态比较这两条裂缝。此外，提出了一种确定弱惯性和强惯性流态之间的实验过渡流量的方法。两相流实验包括测量裂缝内的压降和流体饱和度，液体流速的各种恒定值以及气体流速的增加值。不管探索的流态如何，两相流的相对渗透率均以每单位长度的单相流压降除以每单位长度的两相流压降之比计算得出，并与测得的流体饱和度作图。结果证实了相对渗透率对流动状态的依赖性。同样，拟议的达西定律的一般化表明，相对渗透率与流体饱和度之间遵循物理意义的趋势，适用于不同的液体和气体流速。提出的模型正确地拟合了液体和气体实验的相对渗透率以及流体饱和度。

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  • 来源
    《Transport in Porous Media》 |2013年第2期|401-426|共26页
  • 作者

    Giovanni Radilla; Ali Nowamooz; Mostafa Fourar;

  • 作者单位

    LEMTA, Nancy-University, CNRS, 2 Avenue de la Foret de Haye, BP 160, 54504 Vandoeuvre Cedex, France,Arts et Metiers ParisTech, rue St Dominique, BP 508,51006 Chalons-en-Champagne, France;

    LEMTA, Nancy-University, CNRS, 2 Avenue de la Foret de Haye, BP 160, 54504 Vandoeuvre Cedex, France,Arts et Metiers ParisTech, rue St Dominique, BP 508,51006 Chalons-en-Champagne, France;

    LEMTA, Nancy-University, CNRS, 2 Avenue de la Foret de Haye, BP 160, 54504 Vandoeuvre Cedex, France;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Rough fracture; Two-phase flow; Non-Darcian flow; Inertial effect; Relative permeability;

    机译：粗大断裂;两相流;非达西流惯性作用相对磁导率;

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