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Modeling gas relative permeability in shales and tight porous rocks

机译：页岩和致密多孔岩中气体相对渗透率模拟

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摘要

Accurate modeling of gas relative permeability (k(rg)) has practical applications in oil and gas exploration, production and recovery of unconventional reservoirs. In this study, we apply concepts from the effective-medium approximation (EMA) and universal power-law scaling from percolation theory. Although the EMA has been successfully used to estimate relative permeability in conventional porous media, to the best of our knowledge, its applications to unconventional reservoir rocks have not been addressed yet. The main objective of this study, therefore, is to evaluate the efficiency of EMA, in combination with universal power-law scaling from percolation theory, in estimating k(rg) from pore size distribution and pore connectivity. We presume that gas flow is mainly controlled by two main mechanisms contributing in parallel: (1) hydraulic flow and (2) molecular flow. We then apply the EMA to determine effective conductances and, consequently, k(rg) at higher gas saturations (S-g), and the universal scaling from percolation theory at lower S-g values. Comparisons with two pore-network simulations and six experimental measurements from the literature show that, in the absence of microfractures, the proposed model estimates k(rg) reasonably well in shales and tight porous rocks. More specifically, we found that the crossover point - gas saturation (S-gx) at which transport crosses from percolation theory to the EMA - is non-universal. The value of S-gx is a function of pore space characteristics such as pore size distribution broadness and critical gas saturation. This means that one should expect S-gx to vary from one rock sample to another.
机译：气体相对渗透率（k（rg））的精确建模在非常规油藏的油气勘探，生产和开采中具有实际应用。在这项研究中，我们应用了有效介质近似（EMA）和渗流理论中通用幂律定标的概念。尽管EMA已成功用于估算常规多孔介质中的相对渗透率，但据我们所知，其在非常规储层岩石中的应用尚未得到解决。因此，本研究的主要目标是结合渗流理论的通用幂律定标，评估EMA的效率，从而根据孔径分布和孔连通性估算k（rg）。我们假定气流主要受两个平行的主要机制控制：（1）液压流和（2）分子流。然后，我们应用EMA确定有效电导，从而确定较高气体饱和度（S-g）下的k（rg），并根据渗流理论确定较低S-g值的通用标度。与文献中的两个孔隙网络模拟和六个实验测量值的比较表明，在没有微裂缝的情况下，所提出的模型估计页岩和致密多孔岩石中的k（rg）相当好。更具体地说，我们发现交叉点-输运从渗流理论到EMA的气体饱和度（S-gx）是非通用的。 S-gx的值是孔隙特征的函数，例如孔径分布宽度和临界气体饱和度。这意味着人们应该期望S-gx从一种岩石样品到另一种岩石样品会有所不同。

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  • 来源
    《Fuel》 |2020年第jul15期|117686.1-117686.11|共11页
  • 作者

  • 作者单位

    Kansas State Univ Dept Geol Porous Media Res Lab Manhattan KS 66506 USA;

    Aramco Serv Co Aramco Res Ctr Houston 16300 Pk Row Houston TX 77084 USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Effective-medium approximation; Gas relative permeability; Percolation theory; Shale; Upscaling;

    机译：有效介质近似;气体相对渗透率;渗流理论;页岩;升级;

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