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Permeability of Two-Component Granular Materials

机译：两组分颗粒材料的磁导率

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摘要

We expanded an existing model for permeability in mudrocks and shaly sands to include computation of effective grain radius and the Archie's law parameter m in granular media composed of two different grain sizes. We found that the effective grain radius is the harmonic mean of the endmember grain radii and that m can be computed as the geometric mean of the endmember m values. We tested our model with three-dimensional lattice-Boltzmann simulations of flow through dilute and concentrated systems, and with comparison to measurements of laboratory-prepared and natural samples as well as field data. Modeled permeabilities matched the simulated and measured permeabilities over a wide range of porosities, grain sizes, and grain shapes. We additionally found that the model is independent of grain packing and aspect ratio, as these parameters only affect the endmember m values. Our predicted permeabilities generally fall within previously determined bounds, and we derive approximations for permeability as a function of endmember permeability for cases when endmember m values are equal and when endmember grain radii are very different. Our results advance our understanding of permeability in heterogeneous porous media.
机译：我们扩展了泥岩和泥质砂岩渗透率的现有模型，以包括有效晶粒半径和由两种不同粒径组成的颗粒介质中阿奇定律参数m的计算。我们发现有效晶粒半径是端部构件半径的谐波平均值，并且可以将m计算为端部构件m值的几何平均值。我们用三维流经稀疏和浓缩系统的晶格-玻尔兹曼模拟对模型进行了测试，并与实验室制备的样品和天然样品的测量值以及现场数据进行了比较。建模的渗透率在广泛的孔隙率，晶粒尺寸和晶粒形状方面与模拟和测量的渗透率匹配。我们还发现，该模型与谷物堆积和长宽比无关，因为这些参数仅影响端构件的m值。我们的预测磁导率通常在先前确定的范围内，并且当端部成员m值相等且端部成员晶粒半径非常不同时，我们得出的渗透率近似值是端部构件渗透率的函数。我们的结果提高了我们对非均质多孔介质渗透率的理解。

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  • 来源
    《Transport in Porous Media》 |2015年第3期|523-544|共22页
  • 作者

    Hugh Daigle; Julia S. Reece;

  • 作者单位

    Department of Petroleum and Geosystems Engineering, University of Texas at Austin, Austin, TX, USA;

    Department of Geology and Geophysics, Texas A&M University, College Station, TX, USA;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Permeability; Shaly sand; Mudrocks;

    机译：渗透性泥沙泥巴;

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