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首页> 外文期刊>Fuel >An improved model for permeability estimation in low permeable porous media based on fractal geometry and modified Hagen-Poiseuille flow
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An improved model for permeability estimation in low permeable porous media based on fractal geometry and modified Hagen-Poiseuille flow

机译：基于分形几何和修正的Hagen-Poiseuille流的低渗透性多孔介质渗透率估算的改进模型

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摘要

Permeability is a crucial macroscopic parameter in characterizing fluid flow and mass transfer behavior in porous media. A great theoretical basis for permeability estimation has been provided by many traditional and recently presented fractal models. However, since the influence of overlying sediments, the low-permeability porous media such as natural rock and coal generally have lower permeability and porosity with abundant pores which have more complex structure and rougher surface. The fluid located at surface tends to be bound to form irreducible state. Generally, this natural phenomenon is often ignored in the conventional fractal permeability model. In this study, the improved model was theoretically deduced based on the fractal geometry theory with considering the irreducible water saturation. 133 total sandstone samples from a gas reservoir were used to verify the validity of the developed model. The mercury injection experiment and the conventional physical property test were carried out, and the thin section image of each sample was crafted. The pores were segmented by the proposed color extracted algorithm for calculating pore fractal dimension. The results show that the available fractal model overestimates permeability values. A new form of the classical Kozeny-Carman equation was also developed to accurately estimate permeability. In the low permeable porous media, the empirical Kozeny-Carman constant needs to take 3.5, instead of 5. However, no longer is typical superiority found at very low permeability (< 0.5 mD) in the improved fractal model and corresponding reasons are analyzed and discussed.
机译：渗透率是表征多孔介质中流体流动和传质行为的关键宏观参数。许多传统的和最近提出的分形模型为渗透率估算提供了重要的理论基础。然而，由于上覆沉积物的影响，天然岩石和煤等低渗透率的多孔介质通常具有较低的渗透率和孔隙率，且孔隙较大，结构复杂且表面较粗糙。位于表面的流体倾向于被束缚以形成不可还原的状态。通常，这种自然现象在常规的分形渗透率模型中通常被忽略。在这项研究中，基于分形几何理论，在考虑了不可约水饱和度的基础上，推导了改进模型。从一个气藏中总共采集了133个砂岩样品，以验证该模型的有效性。进行了汞注入实验和常规的物理性能测试，并制作了每个样品的薄片图像。通过提出的颜色提取算法对孔进行细分，以计算孔的分形维数。结果表明，可用的分形模型高估了渗透率值。还开发了一种新形式的经典Kozeny-Carman方程来准确估算渗透率。在低渗透率的多孔介质中，经验的Kozeny-Carman常数需要取3.5，而不是5。但是，在改进的分形模型中，在非常低的渗透率（<0.5 mD）下不再具有典型的优越性，并且分析了相应的原因，讨论过。

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  • 来源
    《Fuel》 |2017年第15期|748-757|共10页
  • 作者

    Chen Xiaojun; Yao Guangqing;

  • 作者单位

    China Univ Geosci, Minist Educ, Key Lab Tecton & Petr Resources, Wuhan 430074, Hubei, Peoples R China|China Univ Geosci, Fac Earth Resources, Wuhan 430074, Hubei, Peoples R China;

    China Univ Geosci, Minist Educ, Key Lab Tecton & Petr Resources, Wuhan 430074, Hubei, Peoples R China|China Univ Geosci, Fac Earth Resources, Wuhan 430074, Hubei, Peoples R China;

  • 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

    Permeability; Fractal porous media; Kozeny-Carman equation; Mercury injection capillary pressure; Thin section;

    机译：渗透率;分形多孔介质;Kozeny-Carman方程;汞注入毛细管压力;薄截面;

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