Pore permeability model based on fractal geometry theory and effective stress

IF 2.6 3区 工程技术 Q3 ENERGY & FUELS Journal of Energy Resources Technology-transactions of The Asme Pub Date : 2023-02-09 DOI:10.1115/1.4056890
Z. Ge, H. Zhang, Zhou Zhe, Yudong Hou, Maolin Ye, Chengtian Li
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Abstract

A reasonable coal seam permeability model should be established to accurately estimate the extraction effectiveness of coalbed methane (CBM). Existing permeability models typically ignore the influence of pore structure parameters on the permeability, leading to an overestimation of the measured permeability, and consequently, the CBM production cannot be effectively predicted. This paper presents a novel permeability model based on discrete pore structures at the micro–nano scale. The model considers the interaction between the pore fractal geometry parameters, coal deformation and CBM transport inside these pores. The contributions of key pore geometry parameters, including the maximum pore diameter max, minimum pore diameter min, porosity f0, and fractal dimensions Df and DTm, to the initial permeability were investigated. A numerical analysis showed that the influence of fractal dimension on the permeability can be demonstrated by three structural parameters max, min, and f0. The initial permeability increases exponentially as min in proportion to max and f0. In addition, min, f0, and max are positively correlated with the macroscopic permeability of the coal, with min having the most significant influence on the permeability evolution process. This research provides a theoretical foundation for revealing the gas flow mechanism within coal seams and enhancing the extraction effectiveness of CBM.
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基于分形几何理论和有效应力的孔隙渗透率模型
建立合理的煤层渗透率模型,才能准确评价煤层气开采效果。现有渗透率模型通常忽略孔隙结构参数对渗透率的影响,导致对实测渗透率的高估,无法有效预测煤层气产量。本文提出了一种基于微纳尺度离散孔隙结构的新型渗透率模型。该模型考虑了孔隙分形几何参数、煤体变形和孔隙内煤层气运移之间的相互作用。研究了最大孔径max、最小孔径min、孔隙度f0、分形维数Df和DTm等关键孔隙几何参数对初始渗透率的影响。数值分析表明,分形维数对渗透率的影响可以通过3个结构参数max、min和f0来体现。初始渗透率随min与max和f0成比例呈指数增长。min、f0、max与煤的宏观渗透率呈正相关,其中min对渗透率演化过程的影响最为显著。该研究为揭示煤层内瓦斯流动机理,提高煤层气抽采效果提供了理论基础。
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来源期刊
CiteScore
6.40
自引率
30.00%
发文量
213
审稿时长
4.5 months
期刊介绍: Specific areas of importance including, but not limited to: Fundamentals of thermodynamics such as energy, entropy and exergy, laws of thermodynamics; Thermoeconomics; Alternative and renewable energy sources; Internal combustion engines; (Geo) thermal energy storage and conversion systems; Fundamental combustion of fuels; Energy resource recovery from biomass and solid wastes; Carbon capture; Land and offshore wells drilling; Production and reservoir engineering;, Economics of energy resource exploitation
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