|
|
|
| NONLINEAR EQUATIONS OF GAS SEEPAGE IN COAL CONSIDERING ADSORPTION EFFECT |
| ZHANG Zhigang1,2,3,CHENG Bo2,3 |
(1. College of Mining and Safety Engineering,Shandong University of Science and Technology,Qingdao,Shandong 266510,China;
2. State Key Laboratory of Gas Disaster Detecting,Preventing and Emergency Controlling,China Coal Technology Engineering Group Chongqing Research Institute,Chongqing 400037,China;3. China Coal Technology Engineering Group Chongqing Research Institute,Chongqing 400037,China) |
|
|
|
|
Abstract The nonlinear equations of gas seepage in coal considering adsorption effect was established based on the relationship between the permeability of coal and the quantity of adsorbed gas from the earlier experimental results. The dimension and the physical meaning of the parameters in the derived equations are clearer. Darcy?s law is a special case of the derived equations. An analytical solution of the gas seepage equation was derived. This analytical solution reflected the migration of the gas in coal seams faithfully. There was a good agreement between the results from the new model and the experiment results of gas flow in coal sample.
|
|
|
|
|
|
| [1] 周世宁,孙辑正. 煤层瓦斯流动理论及其应用[J]. 煤炭学报,1965,2(1):24–37.(ZHOU Shining,SUN Jizheng. The gas flow theory in a coal seam and its application[J]. Journal of China Coal Society,1965,2(1):24–37.(in Chinese))
[2] 白其峥,易法槐. 煤层瓦斯流动的数学模型及其理论分析[J]. 高等应用数学学报:A辑,1987,2(3):388–399.(BAI Qizheng,YI Fahuai. A mathematical model for the gas flow in a coal seam and its theoretical analysis[J]. Applied Mathematics Journal of Chinese Universities:Series A,1987,2(3):388–399.(in Chinese))
[3] 吴世跃. 煤层中瓦斯渗流的物理数学模型及其解析解[J]. 煤炭工程师,1995,(5):8–12.(WU Shiyue. A mathematical model for gas seepage in a coal seam and its analytical solution[J]. The Coal Engineer, 1995,(5):8–12.(in Chinese))
[4] 科林斯R E. 流体通过多孔材料的流动[M]. 陈钟祥译. 北京:石油工业出版社,1984:54–55.(COLLINS R E. Fluid flowing through the porous material[M]. Translated by CHEN Zhongxiang. Beijing:Petroleum Industry Press,1984:54–55.(in Chinese))
[5] 孙培德. 煤层瓦斯流场流动规律的研究[J]. 煤炭学报,1987,12(4):74–81.(SUN Peide. Study of flow in gas flow fields of coal seams[J]. Journal of China Coal Society,1987,12(4):74–81.(in Chinese))
[6] 张先敏,同登科. 低渗透煤层气非线性流动分析[J]. 工程力学,2010,27(10):219–223.(ZHANG Xianmin,TONG Dengke. Nonlinear flow analysis of methane in low permeability coal seams[J]. Engineering Mechanics,2010,27(10):219–223.(in Chinese))
[7] 肖晓春,潘一山. 考虑滑脱效应的煤层气渗流数学模型及数值模拟[J]. 岩石力学与工程学报,2005,24(16):2 966–2 970.(XIAO Xiaochun,PAN Yishan. Mathematical model and numerical simulation of coal- bed methane percolation flow equation considering slippage effects[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(16):2 966–2 970.(in Chinese))
[8] 梁 冰,章梦涛,王泳嘉. 煤层瓦斯渗流与煤体变形的耦合数学模型及数值解法[J]. 岩石力学与工程学报,1996,15(2):135–142. (LIANG Bing,ZHANG Mengtao,WANG Yongjia. Mathematical model and numerical method for coupled gas flow in coal seams and coal deformation[J]. Chinese Journal of Rock Mechanics and Engineering,1996,15(2):135–142.(in Chinese))
[9] 梁 冰,刘建军,范厚彬,等. 非等温条件下煤层中瓦斯流动的数学模型及数值解法[J]. 岩石力学与工程学报,2000,19(1):1–5. (LIANG Bing,LIU Jianjun,FAN Houbin,et al. The mathematical model
and its numerical solution of gas flow under unequal temperatures[J]. Chinese Journal of Rock Mechanics and Engineering,2000,19(1):1–5.(in Chinese))
[10] 李祥春,郭勇义,吴世跃,等. 考虑吸附膨胀应力影响的煤层瓦斯流–固耦合渗流数学模型及数值模拟[J]. 岩石力学与工程学报,2007,26(增1):2 743–2 748.(LI Xiangchun,GUO Yongyi,WU Shiyue,et al. Mathematical model and numerical simulation of fluid-solid coupled flow of coal-bed gas considering swelling stress of adsorption[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(Supp.1):2 743–2 748.(in Chinese))
[11] ENGLER T W,RAJTAR J M. Pressure transient testing of horizontal wells in coalbed reservoirs[C]// SPE24374,1992:551–560.
[12] SARKAR P S,RAJTAR J M. Horizontal well transient pressure testing in coalbed reservoirs[C]// SPE26995,1994:123–132.
[13] 隆清明,赵旭生,孙东玲,等. 吸附作用对煤的渗透率影响规律实验研究[J]. 煤炭学报,2008,33(9):1 030–1 034.(LONG Qingming,ZHAO Xusheng,SUN Dongling,et al. Experimental study on coal permeability by adsorption[J]. Journal of China Coal Society,2008,33(9):1 030–1 034.(in Chinese))
[14] 张志刚. 含瓦斯煤体渗透规律的实验研究[J]. 煤矿开采,2011,16(5):15–18.(ZHANG Zhigang. Experimental research on seepage rule of coal-body absorbed by methane[J]. Coal Mining Technology,2011,16(5):15–18.(in Chinese))
[15] 胡千庭,文光才,张志刚,等. 测定煤岩吸附气体量和渗透率的方法及装置[P]. 中国:ZL201210122353.X,2013.(HU Qianting,WEN Guangcai,ZHANG Zhigang,et al. Determination of adsorption gas volume and permeability of coal and rock method and device[P]. China:ZL201210122353.X,2013.(in Chinese))
[16] 李传亮. 启动压力梯度真的存在吗?[J]. 石油学报,2010,31(5):867–870.(LI Chuanliang. Is a starting pressure gradient necessary for flow in porous media?[J]. Acta Petrolei Sinica,2010,31(5):867–870.(in Chinese))
[17] 李传亮. 滑脱效应其实并不存在[J]. 天然气工业,2007,27(10):85–87.(LI Chuanliang. Is there really slippage effect[J]. Natural Gas Industry,2007,27(10):85–87.(in Chinese))
[18] 邓英尔,谢和平,黄润秋,等. 低渗透孔隙–裂隙介质气体非线性渗流运动方程[J]. 四川大学学报,2006,38(4):1–4.(DENG Ying′er,XIE Heping,HUANG Runqiu,et al. Law of gas nonlinear flow in low permeability pore-fissure media[J]. Journal of Sichuan University, 2006,38(4):1–4.(in Chinese))
[19] 周世宁,林柏泉. 煤层瓦斯赋存与流动理论[M]. 北京:煤炭工业出版社,1999:72–73.(ZHOU Shining,LIN Baiquan. The theory of gas flow and storage in coal seams[M]. Beijing:China Coal Industry Publishing House,1999:72–73.(in Chinese))
[20] 周厚权. 突出矿井煤层气开发与安全高效采煤一体化模式的研究与实践[J]. 矿业安全与环保,2014,41(1):31–35.(ZHOU Houquan. Research and practice on integrated mode of CBM development and safe-efficient coal mining in outburst mines[J]. Mining Safety and Environmental Protection,2014,41(1):31–35.(in Chinese) |
|
|
|