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Study on coal adsorption-permeability model under the coupling of temperature and pore pressure
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| LI Bobo1,2,3,GAO Zheng1,YANG Kang1,LI Jianhua1,REN Chonghong1,XU Jiang4,CAO Jie4#br# |
(1. College of Mining,Guizhou University,Guiyang,Guizhou 550025,China;2. National Local Joint Engineering Laboratory for Efficient Utilization of Dominant Mineral Resources in Karst Mountain Area,Guizhou University,Guiyang,Guizhou 550025,China;3. Ministry of Mine Disaster Prevention and Control to Build a National Key Laboratory Cultivation Base,Shandong University
of Science and Technology,Qingdao,Shandong 266590,China;4. State Key Laboratory of Coal Mine Disaster
Dynamics and Control,Chongqing University,Chongqing 400044,China)
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Abstract In order to simulate the influence of temperature and pore pressure on the adsorption and permeability characteristics of coal during gas drainage,the isothermal adsorption experiments and the seepage tests in the gas reduce process under different temperatures were carried out respectively by using the isothermal adsorption device and the triaxial servo-controlled seepage equipment for the thermo-fluid-solid coupling of coal containing methane. A modified dual-site L adsorption model was established,and on this basis,a coal permeability model considering the coupling effect of temperature and pore pressure was proposed. The rationality of the new permeability model was verified by test results. The results show that,under the experimental conditions,the cumulative desorption of gas increases with decreasing the gas pressure. The permeability of coal decreases first and then increases with decreasing the pore pressure under a constant temperature. With rising the temperature,the permeability of coal decreases first and then increases under a constant pore pressure. The modified dual-site L adsorption model has better fitting effect than the original model,and can well reflect the relationship between the adsorption capacity of coal and the gas pressure at different temperatures. In the process of gas desorption in coal,the contraction strain of the matrix increases with decreasing the pore pressure. The new permeability model has a good consistency with the test data and can better represent the permeability evolution law under different temperatures.
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[1] ZENG Q S,WANG Z M. A new cleat volume compressibility determination method and corresponding modification to coal permeability model[J]. Transport in Porous Media,2017,119(3):689–706.
[2] 谢和平,高 峰,鞠 杨. 深部岩体力学研究与探索[J]. 岩石力学与工程学报,2015,34(11):2 161–2 178.(XIE Heping,GAO Feng,JU Yang,et al. Research and development of rock mechanics in deep ground engineering[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(11):2 161–2 178.(in Chinese))
[3] 吴 迪,孙可明. 不同温度条件下型煤吸附CH4/CO2混合气的实验研究[J]. 岩石力学与工程学报,2013,32(增2):3 291–3 296.(WU Di,SUN Keming,et al. Experimental study for coal briquette adsorption of CH4/CO2 mixture under different temperatures[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(Supp.2):3 291–3 296.(in Chinese))
[4] 张丽萍. 低渗透煤层气开采的热–流–固耦合作用机理及应用研究[博士学位论文][D]. 徐州:中国矿业大学,2011.(ZHANG Liping. Mechanism of coupled thermal-hydraulic-mechanical processes for exploiting coal bed methane in low permeability reservoir and its applications[Ph. D. Thesis][D]. Xuzhou:China University of Mining and Technology,2011.(in Chinese))
[5] VISHAL V,RANJITH P G,SINGH T N. CO2 permeability of Indian bituminous coals:Implications for carbon sequestration[J]. International Journal of Coal Geology,2013,105:36–47.
[6] WU S,TANG D Z,LI S,et al. Effects of geological pressure and temperature on permeability behaviors of middle-low volatile bituminous coals in eastern Ordos Basin,China[J]. Journal of Petroleum Science and Engineering,2017,153:372–384.
[7] 吴 迪,刘雪莹,孙可明,等. 含CH4煤岩注CO2后力学性能及渗透性能试验研究[J]. 中国安全科学学报,2015,25(11):106–110.(WU Di,LIU Xueying,SUN Keming,et al. Research on mechanical properties and permeability of gas-containing coal injected with CO2[J]. China Safety Science Journal,2015,25(11):106–110.(in Chinese))
[8] 梁 冰,贾立锋,孙维吉,等. 解吸–渗流作用下煤体变形及渗透规律试验研究[J]. 中国矿业大学学报,2018,47(5):935–941. (LIANG Bing,JIA Lifeng,SUN Weiji,et al. Experimental on the law of coal deformation and permeability under desorption and seepage[J]. Journal of China University of Mining and Technology,2018,47(5):935–941.(in Chinese))
[9] 冯增朝,郭红强,李桂波,等. 煤中吸附气体的渗流规律研究[J]. 岩石力学与工程学报,2014,33(增2):3 601–3 605.(FENG Zengchao,GUO Hongqiang,LI Guibo,et al. Study of adsorbed gas law in coal[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(Supp.2):3 601–3 605.(in Chinese))
[10] 肖晓春,潘一山. 低渗煤储层气体滑脱效应试验研究[J]. 岩石力学与工程学报,2008,27(增2):3 509–3 516.(XIAO Xiaochun,PAN Yishan. Experimental study on gas slippage effect in hypotonic coal reservoir[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.2):3 509–3 516.(in Chinese))
[11] WANG G D,REN T,WANG K,et al. Improved apparent permeability models of gas flow in coal with Klinkenberg effect[J]. Fuel,2014,128:53–61.
[12] TIAN Y,YU X Y,LI J,et al. Scaling law for slip flow of gases in nanoporous media from nanofluidics,rocks,and pore-scale simulations[J]. Fuel,2019,236:1 065–1 077.
[13] SONG W H,YAO J,LI Y,et al. Fractal models for gas slippage factor in porous media considering second-order slip and surface adsorption[J]. International Journal of Heat and Mass Transfer,2018,118:948–960.
[14] CHAROENSUPPANIMIT P,MOHAMMAD S A,ROBINSON R L,et al. Modeling the temperature dependence of supercritical gas adsorption on activated carbons,coals and shales[J]. International Journal of Coal Geology,2015,138:113–126.
[15] PAN J N,HOU Q L,JU Y W,et al. Coalbed methane sorption related to coal deformation structures at different temperatures and pressures[J]. Fuel,2012,102(6):760–765.
[16] 王公忠,孙光中. 连续升温条件下煤样瓦斯渗透特性试验研究[J]. 中国安全科学学报,2016,(4):108–113.(WANG Gongzhong,SUN Guangzhong. Experimetal study on gas permeation characteristics of coal samples heated continuously[J]. China Safety Science Journal,2016,(4):108–113.(in Chinese))
[17] 孙光中,王公忠,张瑞林. 构造煤渗透率对温度变化响应规律的试验研究[J]. 岩土力学,2016,37(4):1 042–1 048.(SUN Guangzhong,WANG Gongzhong,ZHANG Ruilin. An experimental study on response law of permeability of tectonic coal samples to temperature variation[J]. Rock and Soil Mechanics,2016,37(4):1 042–1 048.(in Chinese))
[18] 蔡婷婷,冯增朝,姜玉龙,等. 不同温度应力下煤体蠕变中的渗流规律研究[J]. 岩石力学与工程学报,2018,37(增2):3 898–3 904. (CAI Tingting,FENG Zengchao,JIANG Yulong,et al. Seepage evolution in coal creep under different temperatures and different stresses[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(Supp.2):3 898–3 904.(in Chinese))
[19] 李志强,鲜学福,隆晴明. 不同温度应力条件下煤体渗透率实验研究[J]. 中国矿业大学学报,2009,38(4):523–527.(LI Zhiqiang,XIAN Xuefu,LONG Qingming. Experiment study of coal permeability under different temperatures and stresses[J]. Journal of China University of Mining and Technology,2009,38(4):523–527.(in Chinese))
[20] 杨新乐,张永利,李成全,等. 考虑温度影响下煤层气解吸渗流规律试验研究[J]. 岩土工程学报,2008,30(12):1 811–1 814.(YANG Xinle,ZHANG Yongli,LI Chengquan,et al. Experimental study on desorption and seepage rules of coal-bed gas considering temperature conditions[J]. Chinese Journal of Geotechnical Engineering,2008,30(12):1 811–1 814.(in Chinese))
[21] 冯子军,万志军. 高温三轴应力下煤中甲烷生成特征及在注热开采瓦斯中应用[J]. 采矿与安全工程学报,2018,35(2):442–448. (FENG Zijun,WAN Zhijun. Methane release under triaxial stressed coal at high temperature and its application in methane extracting by heat injection[J]. Journal of Mining and Safety Engineering,2018,35(2):442–448.(in Chinese))
[22] LIU S M,HARPALANI S. A new theoretical approach to model sorption-induced coal shrinkage or swelling[J]. AAPG bulletin,2013,97(7):1 033–1 049.
[23] XIONG J,LIU X J,LIANG L X. Application of adsorption potential theory to methane adsorption on organic-rich shales at above critical temperature[J]. Environmental Earth Sciences,2018,77(3):99.
[24] TANG X,RIPEPI N,STADIE N P,et al. A dual-site Langmuir equation for accurate estimation of high pressure deep shale gas resources[J]. Fuel,2016,185:10–17.
[25] SHI J Q,DURUCAN S. Drawdown induced changes in permeability of coalbeds:a new interpretation of the reservoir response to primary recovery[J]. Transport in Porous Media,2004,56(1):1–16.
[26] CUI X J,BUSTIN R M. Volumetric strain associated with methane desorption and its impact on coalbed gas production from deep coal seams[J]. Aapg Bulletin,2005,89(9):1 181–1 202.
[27] LIU J S,CHEN Z W,ElSWORTH D,et al. Evolution of coal permeability from stress-controlled to displacement-controlled swelling conditions[J]. Fuel,2011,90(10):2 987–2 997.
[28] FENG R M,HARPALANI S,PANDEY R. Laboratory measurement of stress-dependent coal permeability using pulse-decay technique and flow modeling with gas depletion[J]. Fuel,2016,177:76–86.
[29] 袁欣鹏,梁 冰,孙维吉,等. 卸压煤层瓦斯抽采渗透率演化模型研究[J]. 中国安全科学学报,2016,26(2):127–131.(YUAN Xinpeng,LIANG Bing,SUN Weiji,et al. Research on permeability evolution model for coal seam being drained by pressure relief[J]. China Safety Science Journal,2016,26(2):127–131.(in Chinese))
[30] TAN Y L,PAN Z J,LIU J S,et al. Laboratory study of proppant on shale fracture permeability and compressibility[J]. Fuel,2018,222:83–97.
[31] TIAN H,LI T F,ZHANG T W,et al. Characterization of methane adsorption on overmature Lower Silurian–Upper Ordovician shales in Sichuan Basin,southwest China:Experimental results and geological implications[J]. International Journal of Coal Geology,2016,156:36–49.
[32] ZOU J,REZAEE R,XIE Q,et al. Characterization of the combined effect of high temperature and moisture on methane adsorption in shale gas reservoirs[J]. Journal of Petroleum Science and Engineering,2019,182:106353.
[33] 梁 冰. 温度对煤的瓦斯吸附性能影响的试验研究[J]. 黑龙江矿业学院学报,2000,10(1):20–22.(LIANG Bing. Research on temperature effects on the gas adsorption performance[J]. Journal of Heilongjiang University of Science and Technology,2000,10(1):20–22.(in Chinese))
[34] LU X C,LI F C,WATSON A T. Adsorption studies of natural gas storage in Devonian shales[J]. SPE Formation evaluation,1995,10(2):109–113.
[35] COCHRAN T W,KABEL R L,DANNER R P. Vacancy solution theory of adsorption using Flory-Huggins activity coefficient equations[J]. Aiche Journal,1985,31(31):268–277.
[36] BANGHAM D H,FAKHOURY N. The translation motion of molecules in the adsorbed phase on solids[J]. Journal of the Chemical Society,1931:1 324–1 333.
[37] MENG Y,WANG J Y,LI Z,et al. An improved productivity model in coal reservoir and its application during coalbed methane production[J]. Journal of Natural Gas Science and Engineering,2018,49:342–351.
[38] LEVINE J R. Model study of the influence of matrix shrinkage on absolute permeability of coal bed reservoirs[J]. Geological Society London Special Publications,1996,109(1):197–212.
[39] WU Y,LIU J S,CHEN Z W,et al. A dual poroelastic model for CO2-enhanced coalbed methane recovery[J]. International Journal of Coal Geology,2011,86(2/3):177–189.
[40] QU H Y,LIU J S,CHEN Z W. et al. Complex evolution of coal permeability during CO2 injection under variable temperatures[J]. International Journal of Greenhouse Gas Control,2012,(9):281–293.
[41] NAKAGAWA T,KOMAKI I,SAKAWA M,et al. Small angle X-ray scattering study on change of fractal property of Witbank coal with heat treatment[J]. Fuel,2000,79(11):1 341–1 346.
[42] TENG T,WANG J G,GAO F,et al. A thermally sensitive permeability model for coal-gas interactions including thermal fracturing and volatilization[J]. Journal of Natural Gas Science and Engineering,2016,32:319–333.
[43] LIU J S,CHEN Z W,ELSWORTH D,et al. Interactions of multiple processes during CBM extraction:a critical review[J]. International Journal of Coal Geology,2011,87(3/4):175–189.
[44] LIU G N,LIU J S,LIU L,et al. A fractal approach to fully-couple coal deformation and gas flow[J]. Fuel,2019,240:219–236.
[45] KLINKENBERG L J. The permeability of porous media to liquids and gases[J]. Socar Proceedings,1941,2(2):200–213.
[46] SI L L,LI Z H,YANG Y L. Coal permeability evolution with the interaction between nanopore and fracture:Its application in coal mine gas drainage for Qingdong coal mine in Huaibei coalfield,China[J]. Journal of Natural Gas Science and Engineering,2018,56:523–535.
[47] PENG Y,LIU J S,PAN Z J,et al. Impact of coal matrix strains on the evolution of permeability[J]. Fuel,2017,189:270–283.
[48] 刘 震,李增华,杨永良,等. 水分对煤体瓦斯吸附及径向渗流影响试验研究[J]. 岩石力学与工程学报,2014,33(3):586–593.(LIU Zhen,LI Zenghua,YANG Yongliang,et al. Experimental study on effect of water on sorption and radial gas seepage of coal[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(3):586–593.(in Chinese))
[49] 许 江,彭守建,尹光志,等. 含瓦斯煤热流固耦合三轴伺服渗流装置的研制及应用[J]. 岩石力学与工程学报,2010,29(5):907–914.(XU Jiang,PENG Shoujian,YIN Guangzhi,et al. Development and application of triaxial servocontrolled seepage device equipment for Thermal-Fluid-Solid coupling of coal containing methane[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(5):907–914.(in Chinese))
[50] LI B B,REN C H,WANG Z H,et al. Experimental study on damage and the permeability evolution process of methane-containing coal under different temperature conditions[J]. Journal of Petroleum Science and Engineering,2020,184:106509.
[51] 唐巨鹏,潘一山,李成全,等. 三维应力作用下煤层气吸附解吸特性实验[J]. 天然气工业,2007,27(7):35–38.(TANG Jupeng,PAN Yishan,LI Chengquan,et al. Experimental study of adsorption and desorption of coalbed methane under three-dimensional stress[J]. Natural Gas Industry,2007,27(7):35–38.(in Chinese))
[52] 杨 凯,林柏泉,朱传杰,等. 温度和围压耦合作用下煤样渗透率变化的试验研究[J]. 煤炭科学技术,2017,45(12):121–126.(YANG Kai,LIN Baiquan,ZHU Chuanjie,et al. Experiment study on permeability variation of coal samples under coupling effect of temperature and confined pressure[J]. Coal Science and Technology,2017,45(12):121–126.(in Chinese))
[53] 杨 康,李波波,任崇鸿,等. 温度作用下考虑过剩吸附的煤岩吸附模型[J]. 中国安全科学学报,2018,28(10):137–142.(YANG Kang,LI Bobo,REN Chonghong,et al. Research on a modified model for adsorption of methane on coal under temperature effect considering excess adsorption[J]. China Safety Science Journal,2018,28(10):137–142.(in Chinese))
[54] 李波波,杨 康,李建华,等. 力热耦合作用下煤岩吸附及渗透特性的试验研究[J]. 煤炭学报,2018,43(10):201–209.(LI Bobo,YANG Kang,LI Jianhua,et al. Experimental study on the adsorption and permeability characteristics of coal under the coupling of stress and temperature[J]. Journal of China Coal Society,2018,43(10):201–209.(in Chinese))
[55] 袁 梅,许 江,李波波,等. 气体压力加卸载过程中无烟煤变形及渗透特性的试验研究[J]. 岩石力学与工程学报,2014,33(10):2 138–2 146.(YUAN Mei,XU Jiang,LI Bobo,et al. Experimental study of permeability and deformation of anthracite during process of gaseous loading-unloading[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(10):2 138–2 146.(in Chinese))
[56] 许 江,张丹丹,彭守建,等. 三轴应力条件下温度对原煤渗流特性影响的实验研究[J]. 岩石力学与工程学报,2011,30(9):1 848– 1 854.(XU Jiang,ZHANG Dandan,PENG Shoujian,et al. Experimental research on impact of temperature on seepage characteristics of coal containing methane under triaxial stress[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(9):1 848–1 854.(in Chinese))
[57] LU S,CHENG Y,LI W. Model development and analysis of the evolution of coal permeability under different boundary conditions[J]. Journal of Natural Gas Science and Engineering,2016,31:129-138.
[58] 赵 瑜,王超林,曹 汉,等. 页岩渗流模型及孔压与温度影响机理研究[J]. 煤炭学报,2018,43(6):1 754–1 760.(ZHAO Yu,WANG Chaolin,CAO Han,et al. Influencing mechanism and modelling study of pore pressure and temperature on shale permeability[J]. Journal of China Coal Society,2018,43(6):1 754–1 760.(in Chinese ))
[59] 刘 杰,张永利,崔余岩. 热力耦合作用下含瓦斯煤层渗透特性试验研究[J]. 辽宁工程技术大学学报:自然科学版,2017,36(12):1 270–1 274.(LIU Jie,ZHANG Yongli,CUI Yuyan. Experimental study on permeability properties of coal containing gas with thermo-mechanical coupling[J]. Journal of Liaoning Technical University:Natural Science,2017,36(12):1 270–1 274.(in Chinese))
[60] 胡耀青,赵阳升,杨 栋,等. 温度对褐煤渗透特性影响的试验研究[J]. 岩石力学与工程学报,2010,29(8):1 585–1 590.(HU Yaoqing,ZHAO Yangsheng,YANG Dong,et al. Experimental study of effect of temperature on permeability characteristics of lignite[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(8):1 585–1 590.(in Chinese))
[61] 吴 迪,孙可明,陈治宇. 热力耦合作用下深部煤层渗流规律试验研究[J]. 安全与环境学报,2012,12(5):215–218.(WU Di,SUN Keming,CHEN Zhiyu. On the deep coal seam seepage regularity of the thermo-mechanical coupled effect[J]. Journal of Safety and Environment,2012,12(5):215–218.(in Chinese))
[62] 黎 力,梁卫国,李治刚,等. 注热CO2驱替增产煤层气试验研究[J]. 煤炭学报,2017,42(8):2 044–2 050.(LI Li,LIANG Weiguo,LI Zhigang,et al. Experimental investigation on enhancing coalbed methane recovery by injecting high temperature CO2[J]. Journal of China Coal Society,2017,42(8):2 044–2 050.(in Chinese)) |
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