考虑分形维数的注水模型及注水时间研究
|
摘要
为了研究煤层注水过程中注水时间的影响因素,考虑煤层孔裂隙的分形特征,从理论上分析注水过程,建立煤层注水力学模型。以南屯煤矿和东滩煤矿注水过程为例,检验此模型的合理性和适用性;通过建立的注水模型对分形维数、迂曲度和钻孔半径的影响效果进行研究,并对影响因素的灵敏度进行分析。分析结果表明:1)水在煤层中的渗流速度和半径方向上的压力梯度呈正相关;2)建立的煤层注水力学模型分析结果与现场实测偏差较小,可为煤层注水工作提供理论参考;3)煤层条件一定,注水时间影响因素灵敏度是一定的,不随注水湿润半径变化而改变,煤层条件不同,注水时间影响因素的灵敏度也发生改变。本研究可为煤层注水时间确定提供理论依据。
In order to study the influence factors of water injection time in coal seam water injection, considering the fractal characteristics of coal seam fractures, water injection process is theoretically analyzed. The mechanical model of coal seam water injection is established. Taking the process of water injection in Nantun coal mine and Dongtan coal mine as examples, the rationality and applicability of the model are tested. Through the research of water injection model on the effect of fractal dimension and tortuosity and the radius of the drill hole, the sensitivity of the influencing factors is analyzed. The results show that: 1) The seepage of water in the coal seam is positively correlated with the pressure gradient in the radial direction; 2) The results of the analysis of the mechanical model of coal seam water injection are consistent with the field measurements, which can provide the theoretical references for the coal seam water injection practice; 3) The factors of the coal seam are certain, the sensitivity of the influencing factors is definite. It doesn't change with the change of wetting radius of the water injection. The coal seam conditions are different. The sensitivity of the influence factors of water injection time is also changed. This research provides a theoretical basis for determining the water injection time for coal seams.
In order to study the influence factors of water injection time in coal seam water injection, considering the fractal characteristics of coal seam fractures, water injection process is theoretically analyzed. The mechanical model of coal seam water injection is established. Taking the process of water injection in Nantun coal mine and Dongtan coal mine as examples, the rationality and applicability of the model are tested. Through the research of water injection model on the effect of fractal dimension and tortuosity and the radius of the drill hole, the sensitivity of the influencing factors is analyzed. The results show that: 1) The seepage of water in the coal seam is positively correlated with the pressure gradient in the radial direction; 2) The results of the analysis of the mechanical model of coal seam water injection are consistent with the field measurements, which can provide the theoretical references for the coal seam water injection practice; 3) The factors of the coal seam are certain, the sensitivity of the influencing factors is definite. It doesn't change with the change of wetting radius of the water injection. The coal seam conditions are different. The sensitivity of the influence factors of water injection time is also changed. This research provides a theoretical basis for determining the water injection time for coal seams.
引文
[1]梁宝霞,潘一山.高瓦斯薄煤层注水平面平行流模型分析[J].采矿与安全工程学报,2006,23(2):206-209.LIANG Baoxia,PAN Yishan.Analysis of plane parallel flow model for water injection in thin coal seams with high gas content[J].Journal of Mining and Safety Engineering,2006,23(2):206-209.
[2]宋维源,李大广,章梦涛,等.煤层注水的水气驱替理论研究[J].中国地质灾害与防治学报,2006,17(2):19-25.SONG Weiyuan,LI Daguang,ZHANG Mengtao,et al.The study on the theory of water and gas replacing during water injection into coal seams[J].The Chinese Journal of Geological Hazard and Control,2006,17(2):19-25.
[3]于岩斌,蒋宇静,程卫民,等.煤层高压注水渗透特性试验研究[J].采矿与安全工程学报,2015,32(1):144-149.YU Yanbin,JIANG Yujing,CHENG Weimin,et al.Experimental study on permeability properties of coal seam under high pressure water injection[J].Journal of Mining and Safety Engineering,2015,32(1):144-149.
[4]曹家琳,董利辉,艾迪昊,等.采动影响下工作面深孔注水非线性渗流规律[J].煤炭学报,2017,42(1):225-232.CAO Jialin,DONG Lihui,AI Dihao,et al.Nonlinear seepage law of deep hole water-injection in working face under the influence of mining[J].Journal of China Coal Society,2017,42(1):225-232.
[5]LIU Ting,LIN Baiquan,YANG Wei,et al.Impact of matrix-fracture interactions on coal permeability:model development and analysis[J].Fuel,2017,207(1):522-532.
[6]HUANG Zhen,JIANG Zhenquan,ZHU Shuyun,et al.Characterizing the hydraulic conductivity of rock formations between deep coal and aquifers using injection tests[J].International Journal of Rock Mechanics and Mining Sciences,2014,6(17):12-18.
[7]LEE Y H,CARR J R,BARR D J,et al.The fractal dimension as a measure of the roughness of rock discontinuity profiles[J].International Journal of Rock Mechanics and Mining Sciences,1990,27(6):453-464.
[8]MURATA S,SAITO T.Estimation of tortuosity of fluid flow through a single fracture[J].The Journal of Canadian Petroleum Technology,2003,12(42):39-45.
[9]GIRI A,TARAFDAR S,GOUZE P,et al.Multifractal analysis of the pore space of real and simulated sedimentary rocks[J].Geophysical Journal International,2015,200(2):1106-1115.
[10]谢和平,陈至达.岩石的连续损伤力学模型探讨[J].煤炭学报,1988,1(5):33-42.XIE Heping,CHEN Zhida.Study of a rock model with continuous damage mechanics[J].Journal of China Coal Society,1988,1(5):33-42.
[11]郁伯铭.多孔介质输运性质的分形分析研究进展[J].力学进展,2003,33(3):333-346.YU Boming.Advances of fractal analysis of transport properties for porous media[J].Advances in Mechanics,2003,33(3):333-346.
[12]员美娟,郁伯铭,郑伟.多孔介质中卡森流体的分形分析[J].物理学报,2011,60(2):410-415.YUAN Meijuan,YU Boming,ZHENG Wei.Fractal analysis of Casson fluid flow in porous media[J].Acta Physica Sinica,2011,60(2):410-415.
[13]SONG Yu,JIANG Bo,LI Fengli,et al.Structure and fractal characteristic of micro-and meso-pores in low,middle-rank tectonic deformed coals by CO2 and N2 adsorption[J].Microporous and Mesoporous Materials,2017,7(9):191-202.
[14]LIU Xianfeng,NIE Baisheng.Fractalcharacteristics of coal samples utilizing image analysis and gas adsorption[J].Fuel,2016,182(15):314-322.
[15]LU Caiping,DOU Linming,WU Xingrong,et al.Case study of blast-induced shock wave propagation in coal and rock[J].International Journal of Rock Mechanics and Mining Sciences,2010,6(9):1046-1054.
[16]高为,易同生,金军,等.黔西地区煤样孔隙综合分形特征及对孔渗性的影响[J].煤炭学报,2017,42(5):1258-1265.GAO Wei,YI Tongsheng,JIN Jun,et al.Pore integrated fractal characteristics of coal sample in western Guizhou and its impact to porosity and permeability[J].Journal of China Coal Society,2017,42(5):1258-1265.
[17]MANDELBROT B B.The fractal geometry of nature[M].New York:Freeman,1982:84-113.
[18]SAKELLARIOU M,NAKOS B,MITSAKAKI C,et al.On the fractal character of rock surfaces[J].Technical Note,1991,28(6):527-533.
[19]尼格尔·高尔顿,威尔·鲁德.分型学[M].北京:当代中国出版社,2014:142-147.
[20]钟云霄.混沌与分形浅谈[M].北京:北京大学出版社,2012:134-147.
[21]KATZ A J,THOMPSON A H.Fractal sand stone pores implication for conductivity and formation[J].Physical Review Letters,1985,54(3):1325-1328.
[22]YU B M,LI J H.Some fractal characters of porous media[J].Fractal,2001,9(3):365-372.
[23]李子文,林柏泉,郝志勇,等.煤体多孔介质孔隙度的分形特征研究[J].采矿与安全工程学报,2013,30(3):437-442.LI Ziwen,LIN Baiquan,HAO Zhiyong,et al.Fractal characteristics of porosity for porous media in coal mass[J].Journal of Mining&Safety Engineering,2013,30(3):437-442.
[24]员美娟.多孔介质中流体的若干流动特性研究[D].武汉:华中科技大学,2008.
[25]COMITI J,RENAUD M.A new model for determining mean structure parameters of fixed beds from pressure drop measurements:application to beds packed with parallepipedal particles[J].Chemical Engineering Science,1989,44(7):1539-1545.
[26]FENG Yongjin,YU Boming,ZOU Mingqing,et al.A generalized model for the effective thermal conductivity of porous media based on self-similarity[J].Journal of Physics D:Applied Physics,2004,37(21):3030-3040.
[27]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(3):238-248.WANG Gang,WU Mengmeng,WANG Haiyang,et al.Sensitivity analysis of factors affecting and gas outburst based on a energy equilibrium model[J].Chinese Journal of Rock Mechanics and Engineering,2015,2(3):238-248.
[2]宋维源,李大广,章梦涛,等.煤层注水的水气驱替理论研究[J].中国地质灾害与防治学报,2006,17(2):19-25.SONG Weiyuan,LI Daguang,ZHANG Mengtao,et al.The study on the theory of water and gas replacing during water injection into coal seams[J].The Chinese Journal of Geological Hazard and Control,2006,17(2):19-25.
[3]于岩斌,蒋宇静,程卫民,等.煤层高压注水渗透特性试验研究[J].采矿与安全工程学报,2015,32(1):144-149.YU Yanbin,JIANG Yujing,CHENG Weimin,et al.Experimental study on permeability properties of coal seam under high pressure water injection[J].Journal of Mining and Safety Engineering,2015,32(1):144-149.
[4]曹家琳,董利辉,艾迪昊,等.采动影响下工作面深孔注水非线性渗流规律[J].煤炭学报,2017,42(1):225-232.CAO Jialin,DONG Lihui,AI Dihao,et al.Nonlinear seepage law of deep hole water-injection in working face under the influence of mining[J].Journal of China Coal Society,2017,42(1):225-232.
[5]LIU Ting,LIN Baiquan,YANG Wei,et al.Impact of matrix-fracture interactions on coal permeability:model development and analysis[J].Fuel,2017,207(1):522-532.
[6]HUANG Zhen,JIANG Zhenquan,ZHU Shuyun,et al.Characterizing the hydraulic conductivity of rock formations between deep coal and aquifers using injection tests[J].International Journal of Rock Mechanics and Mining Sciences,2014,6(17):12-18.
[7]LEE Y H,CARR J R,BARR D J,et al.The fractal dimension as a measure of the roughness of rock discontinuity profiles[J].International Journal of Rock Mechanics and Mining Sciences,1990,27(6):453-464.
[8]MURATA S,SAITO T.Estimation of tortuosity of fluid flow through a single fracture[J].The Journal of Canadian Petroleum Technology,2003,12(42):39-45.
[9]GIRI A,TARAFDAR S,GOUZE P,et al.Multifractal analysis of the pore space of real and simulated sedimentary rocks[J].Geophysical Journal International,2015,200(2):1106-1115.
[10]谢和平,陈至达.岩石的连续损伤力学模型探讨[J].煤炭学报,1988,1(5):33-42.XIE Heping,CHEN Zhida.Study of a rock model with continuous damage mechanics[J].Journal of China Coal Society,1988,1(5):33-42.
[11]郁伯铭.多孔介质输运性质的分形分析研究进展[J].力学进展,2003,33(3):333-346.YU Boming.Advances of fractal analysis of transport properties for porous media[J].Advances in Mechanics,2003,33(3):333-346.
[12]员美娟,郁伯铭,郑伟.多孔介质中卡森流体的分形分析[J].物理学报,2011,60(2):410-415.YUAN Meijuan,YU Boming,ZHENG Wei.Fractal analysis of Casson fluid flow in porous media[J].Acta Physica Sinica,2011,60(2):410-415.
[13]SONG Yu,JIANG Bo,LI Fengli,et al.Structure and fractal characteristic of micro-and meso-pores in low,middle-rank tectonic deformed coals by CO2 and N2 adsorption[J].Microporous and Mesoporous Materials,2017,7(9):191-202.
[14]LIU Xianfeng,NIE Baisheng.Fractalcharacteristics of coal samples utilizing image analysis and gas adsorption[J].Fuel,2016,182(15):314-322.
[15]LU Caiping,DOU Linming,WU Xingrong,et al.Case study of blast-induced shock wave propagation in coal and rock[J].International Journal of Rock Mechanics and Mining Sciences,2010,6(9):1046-1054.
[16]高为,易同生,金军,等.黔西地区煤样孔隙综合分形特征及对孔渗性的影响[J].煤炭学报,2017,42(5):1258-1265.GAO Wei,YI Tongsheng,JIN Jun,et al.Pore integrated fractal characteristics of coal sample in western Guizhou and its impact to porosity and permeability[J].Journal of China Coal Society,2017,42(5):1258-1265.
[17]MANDELBROT B B.The fractal geometry of nature[M].New York:Freeman,1982:84-113.
[18]SAKELLARIOU M,NAKOS B,MITSAKAKI C,et al.On the fractal character of rock surfaces[J].Technical Note,1991,28(6):527-533.
[19]尼格尔·高尔顿,威尔·鲁德.分型学[M].北京:当代中国出版社,2014:142-147.
[20]钟云霄.混沌与分形浅谈[M].北京:北京大学出版社,2012:134-147.
[21]KATZ A J,THOMPSON A H.Fractal sand stone pores implication for conductivity and formation[J].Physical Review Letters,1985,54(3):1325-1328.
[22]YU B M,LI J H.Some fractal characters of porous media[J].Fractal,2001,9(3):365-372.
[23]李子文,林柏泉,郝志勇,等.煤体多孔介质孔隙度的分形特征研究[J].采矿与安全工程学报,2013,30(3):437-442.LI Ziwen,LIN Baiquan,HAO Zhiyong,et al.Fractal characteristics of porosity for porous media in coal mass[J].Journal of Mining&Safety Engineering,2013,30(3):437-442.
[24]员美娟.多孔介质中流体的若干流动特性研究[D].武汉:华中科技大学,2008.
[25]COMITI J,RENAUD M.A new model for determining mean structure parameters of fixed beds from pressure drop measurements:application to beds packed with parallepipedal particles[J].Chemical Engineering Science,1989,44(7):1539-1545.
[26]FENG Yongjin,YU Boming,ZOU Mingqing,et al.A generalized model for the effective thermal conductivity of porous media based on self-similarity[J].Journal of Physics D:Applied Physics,2004,37(21):3030-3040.
[27]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(3):238-248.WANG Gang,WU Mengmeng,WANG Haiyang,et al.Sensitivity analysis of factors affecting and gas outburst based on a energy equilibrium model[J].Chinese Journal of Rock Mechanics and Engineering,2015,2(3):238-248.