|
|
|
| A gas diffusion model based on the pore structure in coal |
| AN Fenghua1,2,JIA Hongfu2,LIU Jun1,2 |
| (1. Collaborative Innovation Center of Coal Safety Production and Clean and Efficient Utilization,Henan Polytechnic University,Jiaozuo,Henan 454000,China;2. School of Safety Science and Engineering,Henan Polytechnic University,Jiaozuo,Henan 454000,China) |
|
|
|
|
Abstract For revealing the microscopic influence mechanisms of pore distribution on gas diffusion, a mass transfer model for multiscale porous media was established considering coal gas state and diffusion form diversity. Based on pore size distribution determinations,the roulette algorithm was used to generate random numbers in accordance with pore spatial distribution probability,and then a pore spatial structure model was inversed approximately through the interpolation of these numbers. On the basis of the geometric model,numerical software Comsol was utilized to solve the equations of the new diffusion model,and the results were compared with the gas desorption experimental results of coal particles. Results show that the diffusivity of the coal is worse and the tortuosity of coal is much larger than other porous materials, and that the simulation and experimental results are approximately consistent with each other while the index in the exponential relationship between the tortuosity and the porosity reaching about 5.5. With various pore sizes,Knudsen coefficient and the diffusion coefficient are different in coal. The diffusion coefficient of coal particles calculated through the analytical solution of the uni-pore model has the same order of magnitude with the internal diffusion coefficient obtained through the model,about 10-9 cm2/s,but they have different variation trends as gas desorption.
|
|
|
|
|
|
[1] 王 刚,武猛猛,王海洋,等. 基于能量平衡模型的煤与瓦斯突出影响因素的灵敏度分析[J]. 岩石力学与工程学报,2015,2(2):238–248.(WANG Gang,WU Mengmeng,WANG Haiyang,et al. Sensitivity analysis of factors affecting coaland gas outburst based on a energy equilibrium model[J]. Chinese Journal of Rock Mechanics and Engineering,2015,2(2):238–248.(in Chinese))
[2] 李青松,李国红,王恩元,等. 基于经典扩散模型不同粒径粒煤瓦斯扩散特征实验研究[J]. 中国安全生产科学技术,2018,14(9):44–49.(LI Qingsong,LI Guohong,WANG Enyuan,et al. Experimental study on gas diffusion characteristics of granular coal with different particle sizes based on classical diffusion model[J]. Journal of Safety Science and Technology,2018,14(9):44–49.(in Chinese))
[3] 刘彦伟,刘明举. 粒度对软硬煤粒瓦斯解吸扩散差异性的影响[J]. 煤炭学报,2015,40(3):97–105.(LIU Yanwei,LIU Mingju. Effect of particle size on difference of gas desorption and diffusion between soft coal and hard coal[J]. Journal of China Coal Society,2015,40(3):97–105.(in Chinese))
[4] 徐乐华,蒋承林. 煤的挥发分与瓦斯放散初速度的关系研究[J]. 煤矿安全,2011,42(7):21–22.(XU Lehua,JIANG Chenglin. Study on relation between coal¢s volatility and initial speed of methane emission[J]. Safety in Coal Mines,2011,42(7):21–22.(in Chinese))
[5] 富 向,王魁军,杨天鸿. 构造煤的瓦斯放散特征[J]. 煤炭学报,2008,33(7):57–61.(FU Xiang,WANG Kuijun,YANG Tianhong. Gas irradiation feature of tectonic coal[J]. Journal of China Coal Society,2008,33(7):57–61.(in Chinese))
[6] 聂百胜,柳先锋,郭建华,等. 水分对煤体瓦斯解吸扩散的影响[J]. 中国矿业大学学报,2015,44(5):781–787.(NIE Baisheng,LIU Xianfeng,GUO Jianhua,et al. Effect of moisture on gas desorption and diffusion in coal mass[J]. Journal of China University of Mining and Technology,2015,44(5):781–787. (in Chinese))
[7] 陈向军,程远平,何 涛,等. 注水对煤的瓦斯扩散特性影响[J]. 采矿与安全工程学报,2013,30(3):443–448.(CHEN Xiangjun,CHENG Yuanping,HE Tao,et al. Water injection impact on gas diffusion characteristic of coal[J]. Journal of Mining and Safety Engineering,2013,30(3):443–448. (in Chinese))
[8] 杨 鑫,张俊英,王公达,等. 瓦斯压力对瓦斯在煤中扩散影响的实验研究[J]. 中国矿业大学学报,2019,48(3):503–510.(YANG Xin,ZHANG Junying,WANG Gongda,et al. Experimental study of the influence of gas pressure in the gas diffusion in coal[J]. Journal of China University of Mining and Technology,2019,48(3):503–510.(in Chinese))
[9] 李志强,段振伟,景国勋. 不同温度下煤粒瓦斯扩散特性试验研究与数值模拟[J]. 中国安全科学学报,2012,22(4):38–42.(LI Zhiqiang,DUAN Zhenwei,JING Guoxun. Experimental study on gas diffusion characteristics from coal at different temperatures and their numerical simulation[J]. China Safety Science Journal,2012,22(4):38–42.(in Chinese))
[10] 简 星,关 平,张 巍. 煤中CO2的吸附和扩散:实验与建模[J]. 中国科学:地球科学,2012,42(4):492–504.(JIAN Xing,GUAN Ping,ZHANG Wei. Carbon dioxide sorption and diffusion in coals:Experimental investigation and modeling[J]. Science China:Earth Sciences,2012,42(4):492–504.(in Chinese))
[11] SHI J,DURUCAN S. A bidisperse pore diffusion model for methane displacement desorption in coal by CO2 injection[J]. Fuel,2003,82(10):1 219–1 229.
[12] 易 俊,姜永东,鲜学福. 煤层微孔中甲烷的简化双扩散数学模型[J]. 煤炭学报,2009,34(3):355–360.(YI Jun,JIANG Yongdong,XIAN Xuefu. Predigested bidispere diffusion mathematical model of methane in coal micropore[J]. Journal of China Coal Society,2009,34(3):355–360. (in Chinese))
[13] 袁军伟. 颗粒煤瓦斯扩散时效特性研究[博士学位论文][D]. 北京:中国矿业大学(北京),2014.(YUAN Junwei. Study on time-related characteristics of gas diffusion from particles coal[Ph. D. Thesis][D]. Beijing:China University of Mining and Technology(Beijing),2014.(in Chinese))
[14] 臧 杰,徐 辉. 煤粒瓦斯扩散行为的气压依赖性研究[J]. 中国安全生产科学技术,2017,13(4):21–25.(ZANG Jie,XU Hui. Study on dependence of gas diffusion behavior in coal particles on pressure[J]. Journal of Safety Science and Technology,2017,13(4):21–25.(in Chinese))
[15] 林柏泉,刘 厅,杨 威. 基于动态扩散的煤层多场耦合模型建立及应用[J]. 中国矿业大学学报,2018,47(1):32–39.(LIN Baiquan,LIU Ting,YANG Wei. Solid-gas coupling model for coalseams based on dynamic diffusion and its application[J]. Journal of China University of Mining and Technology,2018,47(1):32–39.(in Chinese))
[16] 李志强,王司建,刘彦伟,等. 基于动扩散系数新扩散模型的构造煤瓦斯扩散机制[J]. 中国矿业大学学报,2015,44(5):836–842.(LI Zhiqiang,WANG Sijian,LIU Yanwei,et al. Mechanism of gas diffusion in tectonic coal based on a diffusion model with dynamic diffusion coefficient[J]. Journal of China University of Mining and Technology,2015,44(5):836–842.(in Chinese))
[17] 聂百胜,张 力,马文芳. 煤层甲烷在煤孔隙中扩散的微观机制[J]. 煤田地质与勘探,2000,28(6):20–22.(NIE Baisheng,ZHANG Li,MA Wenfang. Diffusion micro-mechanism of coal bed methane in coal proes[J]. Coal Geology and Exploration,2000,28(6):20–22.(in Chinese))
[18] 何学秋,聂百胜. 孔隙气体在煤层中扩散的机制[J]. 中国矿业大学学报,2001,30(1):1–4.(HE Xueqiu,NIE Baisheng. Diffusion mechanism of porous gases in coal seams[J]. Journal of China University of Mining and Technology,2001,30(1):1–4.(in Chinese))
[19] THIMONS E D,KISSELL F N. Diffusion of methane through coal[J]. Fuel,1973,52(4):274–280.
[20] 李祥春,李忠备,张 良,等. 不同煤阶煤样孔隙结构表征及其对瓦斯解吸扩散的影响[J]. 煤炭学报,2019,44(增1):142–156.(LI Xiangchun,LI Zhongbei,ZHANG Liang,et al. Pore structure characterization of various rank coals and its effect on gas desorption and diffusion[J]. Journal of China Coal Society,2019,44(Supp.1):142–156. (in Chinese))
[21] 聂百胜,伦嘉云,王科迪,等. 煤储层纳米孔隙结构及其瓦斯扩散特征[J]. 地球科学,2018,43(5):1 755–1 762.(NIE Baisheng,LUN Jiayun,WANG Kedi,et al. Characteristics of nanometer pore structure in coal reservoir[J]. Earth Science,2018,43(5):1 755–1 762.(in Chinese))
[22] 张慧杰,张 浪,汪 东,等. 构造煤的瓦斯放散特征及孔隙结构微观解释[J]. 煤炭学报,2018,43(12):3 404–3 410.(ZHANG Huijie,ZHANG Lang,WANG Dong,et al. Gas emission characteristics of tectonic coal and microscopic explanation of pore structure[J]. Journal of China Coal Society,2018,43(12):3 404–3 410. (in Chinese))
[23] 王振洋,程远平. 构造煤与原生结构煤孔隙特征及瓦斯解吸规律试验[J]. 煤炭科学技术,2017,45(3):84–88.(WANG Zhenyang,CHENG Yuanping. Experiment on pore characteristics and gas desorption law of structural coal and primary structure coal[J]. Coal Science and Technology,2017,45(3):84–88.(in Chinese))
[24] DUBININ M. The potential theory of adsorption of gases and vapors for adsorbents with energetically nonuniform surfaces[J]. Chemical Reviews,1960,60(2):235–241.
[25] AN Fenghua,CHENG Yuanping,WU Dongmei,et al. The effect of small micropores on methane adsorption of coals from Northern China[J]. Adsorption,2013,19(1):83–90.
[26] VALKOVSKA D S,DANOV K D. Determination of bulk and surface diffusion coefficients from experimental data for thin liquid film drainage[J]. Journal of Colloid and Interface Science,2000,223(2):314–316.
[27] CHEN Y D,YANG R T. Concentration dependence of surface diffusion and zeolitic diffusion[J]. Aiche Journal,1991,37(10):1 579–1 582.
[28] WU K,CHEN Z,LI X,et al. A model for multiple transport mechanisms through nanopores of shale gas reservoirs with real gas effect-adsorption-mechanic coupling[J]. International Journal of Heat and Mass Transfer,2016,93:408–426.
[29] CHEN M,KANG Y,ZHANG T,et al. Methane diffusion in shales with multiple pore sizes at supercritical conditions[J]. Chemical Engineering Journal,2018,334:1 455–1 465.
[30] 郭 亮,彭晓峰,吴占松. 甲烷在成型纳米活性炭中的吸附动力学特性[J]. 化工学报,2008,59(11):37–43.(GUO Liang,PENG Xiaofeng,WU Zhansong. Dynamical characterist ics of methane adsorption on monolith nanometer activated carbon[J]. Journal of Chemical Industry and Engineering(China),2008,59(11):37–43. (in Chinese))
[31] DO D D,DO H D. Surface diffusion of hydrocarbons in activated carbon:comparison between constant molar flow,differential permeation and differential adsorption bed methods[J]. Adsorption,2001,7(3):189–209.
[32] ELIAS K T,SHEINTVCH M,AVNIR D. Steady-state diffusion and reactions in catalytic fractal porous media[J]. Chemical Engineering Science,1991,46(11):2 787–2 798.
[33] 李志强,王登科,宋党育. 新扩散模型下温度对煤粒瓦斯动态扩散系数的影响[J]. 煤炭学报,2015,40(5):1 055–1 064.(LI Zhiqiang,WANG Dengke,SONG Dangyu. Influence of temperature on dynamic diffusion coefficient of CH4 into coal particles by new diffusion model[J]. Journal of China Coal Society,2015,40(5):1 055–1 064. (in Chinese))
[34] 胡国忠,朱怡然,李志强. 可控源微波场促进煤体中甲烷解吸的试验研究[J]. 岩石力学与工程学报,2017,36(4):874–880.(HU Guozhong,ZHU Yiran,LI Zhiqiang. Experimental study on desorption enhancing of methane in coal mass using a controlled microwave field[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(4):874–880.(in Chinese))
|
| [1] |
LI Botao1, 2, 3, TAN Yuxuan1, LIN Haifei4, 5*, WEI Jianping1, 2, 3, ZHANG Hongtu1, 2, 3, LI Shugang4, 5, WEI Zongyong4, 5, WANG Pei4, LUO Rongwei4, LIU Yanwei1, 2, 3. Mechanical properties and mesoscopic damage evolution of coal under liquid-nitrogen freezing at different initial temperatures[J]. , 2026, 45(6): 1757-1772. |
|
|
|
|