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基于分形几何的煤岩多孔介质中氧气吸附的数值研究。

A numerical study on oxygen adsorption in porous media of coal rock based on fractal geometry.

作者信息

Lv Xianzhe, Liang Xiaoyu, Xu Peng, Chen Linya

机构信息

College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, People's Republic of China.

College of Sciences, China Jiliang University, Hangzhou 310018, People's Republic of China.

出版信息

R Soc Open Sci. 2020 Feb 12;7(2):191337. doi: 10.1098/rsos.191337. eCollection 2020 Feb.

Abstract

In order to explore the factors affecting coal spontaneous combustion, the fractal characteristics of coal samples are tested, and a pore-scale model for oxygen adsorption in coal porous media is developed based on self-similar fractal model. The liquid nitrogen adsorption experiments show that the coal samples indicate evident fractal scaling laws at both low-pressure and high-pressure sections, and the fractal dimensions, respectively, represent surface morphology and pore structure of coal rock. The pore-scale model has been validated by comparing with available experimental data and numerical simulation. The present numerical results indicate that the oxygen adsorption depends on both the pore structures and temperature of coal rock. The oxygen adsorption increases with increased porosity, fractal dimension and ratio of minimum to maximum pore sizes. The edge effect can be clearly seen near the cavity/pore, where the oxygen concentration is low. The correlation between the oxygen adsorption and temperature is found to obey Langmuir adsorption theory, and a new formula for oxygen adsorption and porosity is proposed. This study may help understanding the mechanisms of oxygen adsorption and accordingly provide guidelines to lower the risk of spontaneous combustion of coal.

摘要

为了探究影响煤炭自燃的因素,对煤样的分形特征进行了测试,并基于自相似分形模型建立了煤多孔介质中氧气吸附的孔隙尺度模型。液氮吸附实验表明,煤样在低压和高压段均呈现出明显的分形标度律,分形维数分别表征了煤岩的表面形貌和孔隙结构。通过与现有实验数据和数值模拟结果对比,验证了该孔隙尺度模型。目前的数值结果表明,氧气吸附既取决于煤岩的孔隙结构,也取决于温度。氧气吸附量随孔隙率、分形维数以及最小孔径与最大孔径之比的增加而增加。在空洞/孔隙附近能明显看到边缘效应,此处氧气浓度较低。发现氧气吸附与温度之间的相关性符合朗缪尔吸附理论,并提出了一个新的氧气吸附与孔隙率的公式。本研究有助于理解氧气吸附的机理,从而为降低煤炭自燃风险提供指导。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c0a/7062063/06787527732b/rsos191337-g1.jpg

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