岩性油气藏 ›› 2021, Vol. 33 ›› Issue (3): 162–168.doi: 10.12108/yxyqc.20210317

• 油气田开发 • 上一篇    下一篇

基于渗透率修正因子的气体有效扩散系数分形模型

王昌进, 张赛, 徐静磊   

  1. 昆明理工大学 机电工程学院, 昆明 650500
  • 收稿日期:2020-06-10 修回日期:2020-09-30 发布日期:2021-06-03
  • 通讯作者: 张赛(1987-),女,博士,讲师,主要从事分形多孔介质传热传质方面的教学与研究工作。Email:sai_zh@163.com。 E-mail:sai_zh@163.com。
  • 作者简介:王昌进（1995—），男，昆明理工大学在读硕士研究生，研究方向为多孔介质气体扩散。地址：（650500）云南省昆明市呈贡区景明南路727号昆明理工大学。Email：w542497986@sina.com
  • 基金资助:
    昆明理工大学省级项目（人培）“多孔材料热质传递及耦合问题的分形研究”（编号：KKSY201601011）、云南省科学技术厅青年基金项目“基于分形理论的多孔材料热质传递系数与热-质全耦合数学模型”（编号：KKSQ201701008）联合资助

Fractal model of effective gas diffusion coefficient based on permeability correction factor

WANG Changjin, ZHANG Sai, XU Jinglei   

  1. Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650500, China
  • Received:2020-06-10 Revised:2020-09-30 Published:2021-06-03

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摘要： 多孔介质中气体的扩散现象广泛存在于能源与环境、油气藏工程等领域，真实多孔介质内部结构具有不规则性和复杂性，在一定尺度范围内表现出分形的特征。为了探究气体在具有分形特性的多孔介质中的扩散规律，引入渗透率修正因子，结合菲克定律，建立了气体有效扩散系数与多孔介质结构参数和气体参数的函数关系。结果表明，气体有效扩散系数与多孔介质面积分形维数、孔隙度、最大孔隙直径均成正比，与迂曲分形维数、气体摩尔质量、气体密度均成反比。通过对比分形模型预测的气体有效扩散系数与已有实验数据可以发现，考虑了渗透率修正因子的模型与实验数据更加吻合。新建立的气体扩散系数分形模型可以正确地描述气体在多孔介质中的扩散规律，对油气田的开发具有借鉴意义。

关键词: 气体扩散, 渗透率修正因子, 分形模型, 菲克定律

Abstract: The phenomenon of gas diffusion in porous media is widespread in the fields of energy and environment，oil and gas reservoir engineering. The internal structure of real porous media is irregular and complex，and shows fractal characteristics within a certain scale. In order to explore the law of gas diffusion in porous media with fractal characteristics，the permeability correction factor and Fick's law were introduced to establish the functional relationships of effective gas diffusion coefficient with porous media structure parameters and gas parameters. The results show that the effective gas diffusion coefficient is proportional to the area fractal dimension of porous media，porosity，and maximum pore diameter，and inversely proportional to tortuous fractal dimension， gas molar mass and gas density. By comparing the effective gas diffusion coefficient predicted by fractal model with the experimental data，it can be found that the model based on permeability correction factor is more consistent with the experimental data. The new fractal model of gas diffusion coefficient can correctly describe the law of gas diffusion in porous media， which has reference significance for the development of oil and gas fields.

Key words: gas diffusion, permeability correction factor, fractal model, Fick's law

中图分类号: 

  • TE311
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