A thermal-hydraulic-mechanical-damage coupling model of layer coal fracturing by liquid nitrogen
LIN Haifei1,2,LI Botao1,LI Shugang1,2,SONG Zhaoxue3,WANG Pei1,LUO Rongwei1,WEI Zongyong1,2,QIN Lei1,2
(1. College of Safety Science and Engineering,Xi?an University of Science and Technology,Xi?an,Shaanxi 710054,China;
2. Key Laboratory of Western Mine Exploitation and Hazard Prevention,Ministry of Education,Xi?an University of Science
and Technology,Xi?an,Shaanxi 710054,China;3. Yankuang Energy Group Company Limited,Zoucheng,
Shandong 273500,China)
Abstract:The mechanical properties of coal are heavily influenced by the primary bedding fractures. To investigate the crack expansion and destabilization mechanism of liquid nitrogen( ) low-temperature fractured layer coal,a thermal-fluid-solid-damage coupling model was established based on meso-element theory and damage mechanics. The evolution of coal damage,permeability and temperature were analyzed throughout the fracturing process,along with the distribution characteristics of crack propagation in layer coal induced by fracturing during various stress ratios,as obtained by COMSOL software simulation. The results indicate that the temperature of the coal in contact with near the drill hole drops sharply to form a small range of ultra-low-temperature zone,which generates thermal stresses exceeding the tensile strength of the coal,and produces damage around the drill hole and destroys the damage area in the initial stage of injection(5 s). With the increase of injection pressure,multiple main cracks appeared inside the coal. The main cracks were mainly developed along layer direction and generated secondary fissures and a complex damage area was formed around the borehole. The number of coal damage begins to increase,accompanied by a corresponding increase in permeability. With a continuous increase in injection pressure,the coal enters an instability stage. A large number of cracks extensively penetrate the coal specimen,leading to coal damage. During this process,both permeability and fracture pressure gradually reach the peak values. The coal damage,fracture pressure,and permeability exhibit a trend of increasing and then decreasing with increasing layer angle,and reach the maximum value when the layer angle is 45°. The coal damage,fracture pressure and permeability reached the maximum when the stress ratio was 0.5,decreased dramatically when the stress ratio increased from 0.5 to 1,and gradually leveled off after the stress ratio exceeded 1. The existence of coal layer has a greater influence on the initiation pressure of fracturing of coal and the change rule of initiation pressure is similar under the conditions of different layer angles. With the increase of layer angle,the initiation pressure shows a U-shaped change rule,and the initiation pressure shows an increasing trend with the increase of stress ratio. The research results provide a basis for further mastering the fracturing coal technology and determining the process parameters.
[1] 翟 成,孙 勇,武建国. 低渗透煤层液氮冷冲击致裂研究新进展[J]. 中国科学基金,2021,35(6):904–910.(ZHAI Cheng,SUN Yong,WU Jianguo. New progress of liquid nitrogen fracture technique in low-permeability coal seams[J]. China Science Foundation,2021,35(6):904–910.(in Chinese))
[2] 黄中伟,李国富,杨睿月,等. 我国煤层气开发技术现状与发展趋势[J]. 煤炭学报,2022,47(9):3 212–3 238.(HUANG Zhongwei,LI Guofu,YANG Ruiyue,et al. Review and development trends of coalbed methane exploitation technology in China[J]. Journal of China Coal Society,2022,47(9):3 212–3 238.(in Chinese))
[3] 周言安,杨 洋. “双碳”目标下我国煤矿瓦斯利用技术发展方向[J]. 煤炭技术,2022,41(8):146–149.(ZHOU Yanan,YANG Yang. Development direction of coal mine gas utilization technology to realize carbon peak and carbon neutrality in China[J]. Coal Technology,2022,41(8):146–149.(in Chinese))
[4] 李树刚,张静非,尚建选,等. 双碳目标下煤气同采技术体系构想及内涵[J]. 煤炭学报,2022,47(4):1 416–1 429.(LI Shugang,ZHANG Jingfei,SHANG Jianxuan,et al. Conception and connotation of coal and gas co-extraction technology system under the goal of carbon peak and carbon neutrality[J]. Journal of China Coal Society,2022,47(4):1 416–1 429.(in Chinese))
[5] 李和万,张子恒,王来贵,等. 循环冷浸致煤样结构损伤的力学性质演化规律[J]. 煤炭学报,2021,46(增2):770–776.(LI Hewan,ZHANG Ziheng,WANG Laigui,et al. Evolution law of mechanical properties of coal sample structure damage caused by cyclic cold leaching[J]. Journal of China Coal Society,2021,46(Supp.2):770–776.(in Chinese))
[6] 翟 成,孙 勇. 低温循环致裂煤体孔隙结构演化规律试验研究[J]. 煤炭科学技术,2017,45(6):24–29.(ZHAI Cheng,SUN Yong. Experimental study on evolution of pore structure in coal after cyclic cryogenic fracturing[J]. Coal Science and Technology,2017,45(6):24–29.(in Chinese))
[7] 严 敏,张一真,林海飞,等. 液氮浸融对不同预制温度煤体损伤特性试验研究[J]. 煤炭学报,2020,45(8):2 813–2 823.(YAN Min,ZHANG Yizhen,LIN Haifei,et al. Effect on liquid nitrogen impregnation of pore damage characteristics of coal at different temperatures[J]. Journal of China Coal Society,2020,45(8):2 813–2 823.(in Chinese))
[8] MCDANIEL B W,GRUNDMANN S R,KENDRICK W D,et al. Field applications of cryogenic nitrogen as a hydraulic fracturing fluid[C]// SPE Annual Technical Conference and Exhibition. San Antonio:[s. n.],1997:38–39.
[9] 蔡承政,任科达,杨玉贵,等. 液氮压裂作用下页岩破裂特征试验研究[J]. 岩石力学与工程学报,2020,39(11):2 183–2 203.(CAI Chengzheng,REN Keda,YANG Yugui,et al. Experimental research on shale cracking characteristics due to liquid nitrogen fracturing[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(11):2 183–2 203.(in Chinese))
[10] CHA M,ALQAHTANI N B,YIN X,et al. Laboratory system for studying cryogenic thermal rock fracturing for well stimulation[J]. Journal of Petroleum Science and Engineering,2017,156:780–789.
[11] COETZEE S,NEOMAGUS H W,BUNT J R,et al. The transient swelling behaviour of large(-20+16 mm) South African coal particles during low-temperature devolatilisation[J]. Fuel,2014,136:79–88.
[12] 郑学林,张广清,郑士杰. 液氮超低温诱导岩石类材料裂缝形成机制研究[J]. 岩石力学与工程学报,2022,41(5):889–903.(ZHENG Xuelin,ZHANG Guangqing,ZHENG Shijie. Study on formation mechanisms of fractures in rock-like materials induced by liquid nitrogen ultra-low temperature[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(5):889–903.(in Chinese))
[13] YANG R,HONG C,LIU W,et al. Non-contaminating cryogenic fluid access to high-temperature resources:Liquid nitrogen fracturing in a lab-scale Enhanced Geothermal System[J]. Renewable Energy,2021,165:125–138.
[14] 丛钰洲,翟 成,余 旭,等. 液氮冷冲击煤的作用范围及力学损伤机制[J]. 煤炭学报,2023,48(6):2 484–2 497.(CONG Yuzhou,ZHAI Cheng,YU Xu,et al. Action scope and mechanical damage mechanism of liquid nitrogen cold shock on coal[J]. Journal of China Coal Society,2023,48(6):2 484–2 497.(in Chinese))
[15] 魏建平,孙刘涛,王登科,等. 温度冲击作用下煤的渗透率变化规律与增透机制[J]. 煤炭学报,2017,42(8):1 919–1 925.(WEI Jianping,SUN Liutao,WANG Dengke,et al. Change law of permeability of coal under temperature impact and the mechanism of increasing permeability[J]. Journal of China Coal Society,2017,42(8):1 919–1 925.(in Chinese))
[16] HOU P,XUE Y,GAO F,et al. Effect of liquid nitrogen cooling on mechanical characteristics and fracture morphology of layer coal under Brazilian splitting test[J]. International Journal of Rock Mechanics and Mining Sciences,2022,151:105026.
[17] JIANG L,CHENG Y,HAN Z,et al. Effect of liquid nitrogen cooling on the permeability and mechanical characteristics of anisotropic shale[J]. Journal of Petroleum Exploration and Production Technology,2019,9(1):111–124.
[18] 郑广辉,许金余,王 鹏,等. 冻融循环作用下层理砂岩物理特性及劣化模型[J]. 岩土力学,2019,40(2):632–641.(ZHENG Guanghui,XU Jinyu,WANG Peng,et al. Physical characteristics and degradation model of stratified sandstone under freeze-thaw cycling[J]. Rock and Soil Mechanics,2019,40(2):632–641.(in Chinese))
[19] 李和万,刘 戬,高熹才,等. 液氮冷加载对不同含水饱和度节理煤样损伤的影响[J]. 采矿与安全工程学报,2022,39(2):413–420. (LI Hewan,LIU Jian,GAO Xicai,et al. Effect of cold loading by liquid nitrogen on damage of coal samples with varied joint angles and water saturation levels[J]. Journal of Mining and Safety Engineering,2022,39(2):413–420.(in Chinese))
[20] 李和万,刘 戬,王来贵,等. 节理煤体低温损伤机制及影响范围研究[J]. 实验力学,2022,37(5):675–688.(LI Hewan,LIU Jian,WANG Laigui,et al. Research on low temperature damage mechanism and influence scope of intermittent joint coal body[J]. Journal of Experimental Mechanics,2022,37(5):675–688.(in Chinese))
[21] 刘泉声,许锡昌. 温度作用下脆性岩石的损伤分析[J]. 岩石力学与工程学报,2000,29(4):408–411.(LIU Quansheng,XU Xichang. Damage analysis of brittle rock at high temperatures[J]. Chinese Journal of Rock Mechanics and Engineering,2000,29(4):408–411.(in Chinese))
[22] 唐世斌,唐春安,朱万成,等. 热应力作用下的岩石破裂过程分析[J]. 岩石力学与工程学报,2006,25(10):2 071–2 078.(TANG Shibin,TANG Chunan,ZHU Wancheng,et al. Numerical investigation on rock failure process induced by thermal stress[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(10):2 071–2 078.(in Chinese))
[23] 唐世斌,罗 江,唐春安. 低温诱发岩石破裂的理论与数值模拟研究[J]. 岩石力学与工程学报,2018,37(7):1 596–1 607.(TANG Shibin,LUO Jiang,TANG Chunan. Theoretical and numerical study on the cryogenic fracturing in rock[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(7):1 596–1 607.(in Chinese))
[24] 朱万成,魏晨慧,田 军,等. 岩石损伤过程中的热–流–力耦合模型及其应用初探[J]. 岩土力学,2009,30(12):3 851–3 857.(ZHU Wancheng,WEI Chenhui,TIAN Jun,et al. Coupled thermal-hydraulic-mechanical model during rock damage and its preliminary application[J]. Rock and Soil Mechanics,2009,30(12):3 851–3 857. (in Chinese))
[25] YAO B,WANG L,YIN X,et al. Numerical modeling of cryogenic fracturing process on laboratory-scale Niobrara shale samples[J]. Journal of Natural Gas Science and Engineering,2017,48:169–177.
[26] 周广磊,徐 涛,朱万成,等. 基于温度–应力耦合作用的岩石时效蠕变模型[J]. 工程力学,2017,34(10):1–9.(ZHOU Guanglei,XU Tao,ZHU Wancheng,et al. A time-dependent thermo-mechanical creep model of rock[J]. Engineering Mechanics,2017,34(10):1–9.(in Chinese))
[27] 陶 静. 液氮预注后页岩压裂的损伤破裂机制研究[博士学位论文][D]. 徐州:中国矿业大学,2020.(TAO Jing. Study on damage mechanics of shale nitrogen fracturing after liquid nitrogen pre-conditioning[Ph. D. Thesis][D]. Xuzhou:China University of Mining and Technology,2020.(in Chinese))
[28] LIN H,LI B,LI S,et al. Numerical investigation of temperature distribution and thermal damage of heterogeneous coal under liquid nitrogen freezing[J]. Energy,2023,267:126592.
[29] 郤保平,吴阳春,赵阳升. 热冲击作用下花岗岩宏观力学参量与热冲击速度相关规律试验研究[J]. 岩石力学与工程学报,2019,38(11):2 194–2 207.(XI Baoping,WU Yangchun,ZHAO Yangsheng. Experimental study on the relationship between macroscopic mechanical parameters of granite and thermal shock velocity under thermal shock[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(11):2 194–2 207.(in Chinese))
[30] LIU L,JI H,ELSWORTH D,et al. Dual-damage constitutive model to define thermal damage in rock[J]. International Journal of Rock Mechanics and Mining Sciences,2020,126:104185.
[31] NEUMAN S P. Theoretical derivation of Darcy?s law[J]. Acta Mechanica,1977,25(3):153–170.
[32] OLSEN H W. Darcy?s law in saturated kaolinite[J]. Water Resources Research,1966,2(2):287–295.
[33] 黄永华,陈国邦. 低温流体热物理性质[M]. 2版. 北京:国防工业出版社,2014:221–265.(HUANG Yonghua,CHEN Guobang. Thermophysical properties of cryogenic fluids[M]. 2nd. Beijing:National Defense Industry Press,2014:221–265.(in Chinese))
[34] ZHU W C,LIU J,SHENG J C,et al. Analysis of coupled gas flow and deformation process with desorption and Klinkenberg effects in coal seams[J]. International Journal of Rock Mechanics and Mining Sciences,2007,44(7):971–980.
[35] 刘清泉,程远平,李 伟,等. 深部低透气性首采层煤与瓦斯气固耦合模型[J]. 岩石力学与工程学报,2015,34(增1):2 749–2 758. (LIU Qingquan,CHENG Yuanping,LI Wei,et al. Mathematical model of coupled gas-solid and coal deformation process in low-permeability and first mined coal seam[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(Supp.1):2 749–2 758.(in Chinese))
[36] 郤保平,吴阳春,王 帅,等. 青海共和盆地花岗岩高温热损伤力学特性试验研究[J]. 岩石力学与工程学报,2020,39(1):69–83.(XI Baoping,WU Yangchun,WANG Shuai,et al. Experimental study on mechanical properties of granite taken from Gonghe Basin,Qinghai Province after high temperature thermal damage[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(1):69–83.(in Chinese))
[37] 颜丙乾,任奋华,蔡美峰,等. THMC多场耦合作用下岩石物理力学性能与本构模型研究综述[J]. 工程科学学报,2020,42(11): 1 389–1 399.(YAN Bingqian,REN Fenhua,CAI Meifeng,et al. A review of the research on physical and mechanical properties and constitutive model of rock under THMC multi-field coupling[J]. Chinese Journal of Engineering,2020,42(11):1 389–1 399.(in Chinese))
[38] 魏晨慧. 热流固耦合条件下煤岩体损伤模型及其应用[博士学位论文][D]. 沈阳:东北大学,2012.(WEI Chenhui. Damage model for coal and rock under coupled thermal-hydraulic-mechanical conditions and its application[Ph. D. Thesis][D]. Shenyang:Northeastern University,2012.(in Chinese))
[39] 盖 迪,朱万成,魏晨慧,等. 基于损伤力学理论的脉冲压裂模型及模拟研究[J]. 采矿与安全工程学报,2016,33(5):945–950.(GAI Di,ZHU Wancheng,WEI Chenhui,et al. Pulse fracturing model based on damage mechanics and its numerical simulation[J]. Journal of Mining and Safety Engineering,2016,33(5):945–950.(in Chinese))
[40] 张向向. 层理页岩水/气压裂破裂机制与损伤演化规律研究[博士学位论文][D]. 徐州:中国矿业大学,2019.(ZHANG Xiangxiang. Fracturing mechanism and damage evolution of water/gas fracturing in bedding shale[Ph. D. Thesis][D]. Xuzhou:China University of Mining and Technology,2019.(in Chinese))
[41] 李波波,任崇鸿,杨 康,等. 力热耦合作用下煤岩损伤演化规律及渗透率模型研究[J]. 安全与环境学报,2020,20(5):1 727–1 735. (LI Bobo,REN Chonghong,YANG Kang,et al. Exploration into the damage evolutionary regularity and the permeability model of the coal strata under the coupling effect of stress and temperature[J]. Journal of Safety and Environment,2020,20(5):1 727–1 735.(in Chinese))
[42] 薛 熠,高 峰,高亚楠,等. 采动影响下损伤煤岩体峰后渗透率演化模型研究[J]. 中国矿业大学学报,2017,46(3):521–527.(XUE Yi,GAO Feng,GAO Yanan,et al. Research on mining-induced permeability evolution model of damaged coal in post-peak stage[J]. Journal of China University of Mining and Technology,2017,46(3):521–527.(in Chinese))
[43] 杨新乐,任常在,张永利,等. 低渗透煤层气注热开采热–流–固耦合数学模型及数值模拟[J]. 煤炭学报,2013,38(6):1 044–1 049. (YANG Xinle,REN Changzai,ZHANG Yongli,et al. Numerical simulation of the coupled thermal-fluid-solid mathematical models during extracting methane in low-permeability coal bed by heat injection[J]. Journal of China Coal Society,2013,38(6):1 044– 1 049.(in Chinese))
[44] 于庆磊,郑 超,杨天鸿,等. 基于细观结构表征的岩石破裂热–力耦合模型及应用[J]. 岩石力学与工程学报,2012,31(1):42–51. (YU Qinglei,ZHENG Chao,YANG Tianhong,et al. Meso-structure characterization based on coupled thermal-mechanical model for rock failure process and applications[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(1):42–51.(in Chinese))
[45] 张 奇. 低渗透页岩层压裂改造的热–流–固耦合机制及应用研究[博士学位论文][D]. 徐州:中国矿业大学,2019.(ZHANG Qi. Mechanism and its application for fracturing reform of low permeability shale reservoirs[[Ph. D. Thesis][D]. Xuzhou:China University of Mining and Technology,2019.(in Chinese))
[46] 邱宇超,梁卫国,李 静,等. 非均质弹塑性煤体水压致裂裂纹形态研究[J]. 煤炭学报,2022,47(10):3 668–3 679.(QIU Yuchao,LIANG Weiguo,LI Jing,et al. Study on fracture morphology of hydraulic fracturing in heterogeneous elastoplastic coal[J]. Journal of China Coal Society,2022,47(10):3 668–3 679.(in Chinese))
[47] 景 锋,盛 谦,张勇慧,等. 中国大陆浅层地壳实测地应力分布规律研究[J]. 岩石力学与工程学报,2007,26(10):2 056–2 062. (JING Feng,SHENG Qian,ZHANG Yonghui,et al. Research on distribution rule of shallow crust of China mainland[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(10):2 056–2 062.(in Chinese))
[48] 康红普,伊丙鼎,高富强,等. 中国煤矿井下地应力数据库及地应力分布规律[J]. 煤炭学报,2019,44(1):23–33.(KANG Hongpu,YI Bingding,GAO Fuqiang,et al. Database and characteristics of underground in-situ stress distribution in Chinese coal mines[J]. Journal of China Coal Society,2019,44(1):23–33.(in Chinese))
[49] 林海飞,季鹏飞,孔祥国,等. 三轴应力下原煤吸附CH4/N2变形时空特性[J]. 中国矿业大学学报,2023,52(2):314–328.(LIN Haifei,JI Pengfei,KONG Xiangguo,et al. Temporal and spatial characteristics of raw coal deformation during the adsorption of CH4/N2 under triaxial stress[J]. Journal of China University of Mining and Technology,2023,52(2):314–328.(in Chinese))
[50] 谢和平,周宏伟,刘建锋,等. 不同开采条件下采动力学行为研究[J]. 煤炭学报,2011,36(7):1 067–1 074.(XIE Heping,ZHOU Hongwei,LIU Jianfeng,et al. Mining-induced mechanical behavior in coal seams under different mining layouts[J]. Journal of China Coal Society,2011,36(7):1 067–1 074.(in Chinese))
[51] LIN H,JI P,KONG X,et al. Experimental study on the influence of gas pressure on CH4 adsorption-desorption-seepage and deformation characteristics of coal in the whole process under triaxial stress[J]. Fuel,2023,333:126513.
[52] 林柏泉,周世宁. 煤样瓦斯渗透率的试验研究[J]. 中国矿业学院学报,1987,6(1):24–31.(LIN Baiquan,ZHOU Shining. Experimental investigation on permeability of the coal samples containing methane[J]. Journal of China University of Mining and Technology,1987,6(1):24–31.(in Chinese))
[53] 唐巨鹏,潘一山,李成全,等. 有效应力对煤层气解吸渗流影响试验研究[J]. 岩石力学与工程学报,2006,25(8):1 563–1 568.(TANG Jupeng,PAN Yishan,LI Chengquan,et al. Experimental studyon effect of effective stress on desorption and seepage of coalbed methane[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(8):1 563–1 568.(in Chinese))
[54] 唐春安. 岩石声发射规律数值模拟初探[J]. 岩石力学与工程学报,1997,16(4):75–81.(TANG Chun?an. Numerical simulation of AE in rock failure[J]. Chinese Journal of Rock Mechanics and Engineering,1997,16(4):75–81.(in Chinese))
[55] 林文俏. 推证岩石格里菲斯强度公式时裂纹方位角的分析讨论[J]. 力学与实践,1989,(4):66–68.(LIN Wenqiao. Analysis and discussion of crack azimuth angle in deriving driffith strength formula for fock[J]. Mechanics in Engineering,1989,(4):66–68.(in Chinese))
[56] 沈仲辉,周令剑,李希建,等. 层理页岩水压致裂特性及对破裂压力的启示[J]. 煤炭科学技术,https://doi.org/10. 13199/j.cnki.cst. 2023–0028.(SHEN Zhonghui,ZHOU Lingjian,LI Xijian,et al. Hydraulic fracturing characteristics of laminated shale and its enlightenment to fracture pressure[J]. Coal Science and Technology,https://doi.org/10.13199/j.cnki.cst. 2023–0028.(in Chinese))
[57] HE J,AFOLAGBOYE L,LIN C,et al. An experimental investigation of hydraulic fracturing in shale considering anisotropy and using freshwater and supercritical CO2[J]. Energies,2018,11(3):557.