Three-dimensional numerical simulation for estimating subsidence and stress evolution in coal seams during coalbed methane recovery
ZHU Yuxun1,LIU Jinfeng1,2,3
(1. School of Earth Science and Engineering,Sun Yat-Sen University,Guangzhou,Guangdong 510275,China;2. Guangdong Provincial Key Lab of Geodynamics and Geohazards,Sun Yat-Sen University,Zhuhai,Guangdong 519082,China;3. Southern Marine Science and Engineering Guangdong Laboratory,Zhuhai,Guangdong 519082,China)
Abstract:In this contribution,we developed a numerical model for describing a coupled effect of stress-strain-sorption-diffusion-permeability on evolution of deformation and internal stress in coal seams during coalbed methane(CBM) recovery,assuming that coal behaves as a poroelastic media. Three-dimensional discrete fracture network of a coal seam was first constructed using COMSOL,consisting of natural and hydraulic fractures. On this basis,we quantitatively determined the development of subsidence and internal stress of the constructed coal seam,using our proposed numerical model,given proper parameter values. The results indicate,that:(1) subsidence mainly occurred on the top of the coal seam,which was located near the both sides of fractures,resulting in a vertical dislocation along the natural fractures and the dislocation rate can be up to 2 mm per year. (2) Both the intermediate and minimum principal stresses in the area near the natural fractures decreased significantly,while the minimum principal stress exhibited a transition from compression to tensile,which can reach to 3 MPa. In addition,parameter sensitive analysis was performed to determine the main factors controlling CBM recovery induced dislocation and stress evolution. By the research we suggests that during CBM recovery,deformation and stress drops around the natural fractures should be paid more attentions as it may cause local damage and even earthquake,though the CBM recovery induced subsidence is relatively small.
[1] LAUBACH S,MARRETT R,OLSON J. Characteristics and origins of coal cleat: A review[J]. International Journal of Coal Geology,1998,35(1):175–207.
[2] GRAY I. Reservoir engineering in coal seams:part 1-the physical process of gas storage and movement in coal seams[J]. SPE Reservoir Engineering,1997,2(1):28–34.
[3] 吴雅琴,邵国良,徐耀辉,等. 煤层气从降压到产气过程的运移机理研究[J]. 长江大学学报:自科版,2016,13(20):9–13.(WU Yaqin,SHAO Guoliang,XU Yaohui,et al. Research on migration mechanism of coalbed methane from its depressuring to its recovery[J]. Journal of Yangtze University:Natural Science,2016,13(20):9–13.(in Chinese))
[4] LIU J,FOKKER P,SPIERS C. Coupling of swelling,internal stress evolution,and diffusion in coal matrix material during exposure to methane[J]. Journal of Geophysical Research:Solid Earth,2017,122(2):844–865.
[5] DAY S,FRY R,SAKUROVS R. Swelling of coals by supercritical gases and its relationship to sorption[J]. Energy and Fuels,2010,24(4):2 777–2 783.
[6] DURUCAN S,AHSANB M,SHI J. Matrix shrinkage and swelling characteristics of European coals[J]. Energy Procedia,2009,1(1): 3 055–3 062.
[7] CUI X,BUSTIN R,CHIKATAMARLA L. Adsorption-induced coal swelling and stress:Implications for methane production and acid gas sequestration into coal seams[J]. Journal of Geophysical Research,2007,112(B10):B10202.
[8] LIU J,SPIERS C,PEACH C. Effect of lithostatic stress on methane sorption by coal:Theory vs. experiment and implications for predicting in-situ coalbed methane content[J]. International Journal of Coal Geology,2016,167:48–64.
[9] WU Y,LIU J,ELSWORTH D. Development of anisotropic permeability during coalbed methane production[J]. Journal of Natural Gas Science and Engineering,2010,2(4):197–210.
[10] REISABADI M,HAGHIGHI M,SAYYAFZADEH M. Stress distribution and permeability modelling in coalbed methane reservoirs by considering desorption radius expansion[J]. Fuel,2021,289:119951.
[11] 唐巨鹏,李成全,潘一山. 水力割缝开采低渗透煤层气应力场数值模拟[J]. 天然气工业,2004,10(24):93–95.(TANG Jupeng,LI Chengquan,PAN Yishan. Numeral simulation of stress field for low permeable coal bed gas recovering with hydraulic cutting[J]. Natural Gas Industry,2004,10(24):93–95.(in Chinese))
[12] SAURABH S,HARPALANI S,SINGH V K. Implications of stress re-distribution and rock failure with continued gas depletion in coalbed methane reservoirs[J]. International Journal of Coal Geology,2016,162:183–192.
[13] DANESH N,ZHAO Y,TENG T. Prediction of interactive effects of CBM production,faulting stress regime,and fault in coal reservoir:Numerical simulation[J]. Journal of Natural Gas Science and Engineering,2022,99:104419.
[14] LIU T,LIN B. Time-dependent dynamic diffusion processes in coal: Model development and analysis[J]. International Journal of Heat and Mass Transfer,2019,134:1–9.
[15] WANG Y,LIU S. Estimation of pressure-dependent diffusive permeability of coal[J]. Energy and Fuels,2016,11(30):8 968–8 976.
[16] YUAN W,PAN Z,LI X. Experimental study and modelling of methane adsorption and diffusion in shale[J]. Fuel,2014,117:509–519.
[17] GENSTERBLUM Y,MERKEL A,BUSCH A. High-pressure CH4 and CO2 sorption isotherms as a function of coal maturity and the influence of moisture[J]. International Journal of Coal Geology,2013,118:45–57.
[18] BUIJZE L,BIJSTERVELDT L,CREMER H. Review of induced seismicity in geothermal systems worldwide and implications for geothermal systems in the Netherlands[J]. Netherlands Journal of Geosciences,2020,98(E13):1–27.
[19] ELSWORTH D,SPIERS C,NIEMEIJER A. Understanding induced seismicity[J]. Science,2016,354(6318):1 380–1 381.
[20] HOL S,SPIERS C. Competition between adsorption-induced swelling and elastic compression of coal at CO2 pressures up to 100 MPa[J]. Journal of the Mechanics and Physics of Solids,2012,60(11):1 862–1 882.
[21] JAEGER J,COOK N,ZIMMERMAN R. Fundamentals of rock mechanics[M]. [S. l.]:Blackwell Publishing,2007:178–182.
[22] BIOT M,WILLIS D. The elastic coefficients of the theory of consolidation[J]. Journal of Applied Mechanics,1957,24:594–601.
[23] HASSANIZADEH M,GRAY W. General conservation equations for multi-phase systems:3. Constitutive theory for porous media flow[J]. Advances in Water Resources,1980,3(1):25–40.
[24] REISS L. The reservoir engineering aspects of fractured formations[M]. Houston:Gulf Publishing Co.,1980:20–22.
[25] LIU J,CHEN Z,ELSWORTH D. Interactions of multiple processes during CBM extraction:A critical review[J]. International Journal of Coal Geology,2011,87(3):175–189.
[26] 张文勇. 鹤壁矿区煤层气水平井分段水力压裂工艺参数优化及应用[博士学位论文][D]. 北京:中国矿业大学(北京),2015.(ZHANG Wenyong. The application and parameter optimization of the CBM horizontal well section hydraulic fracturing in Hebi Mine area[Ph. D. Thesis][D]. Beijing:China University of Mining and Technology (Beijing),2015.(in Chinese))
[27] 孟召平,田永东,李国富. 沁水盆地南部地应力场特征及其研究意义[J]. 煤炭学报,2010,35(6):975–981.(MENG Zhaoping,TIAN Yongdong,LI Guofu. Characteristics of in-situ field in southern Qinshui Basin and its research significance[J]. Journal of China Coal Society,2010,35(6):975–981.(in Chinese))
[28] SHI J,ZENG L,ZHAO X. Characteristics of natural fractures in the upper Paleozoic coal bearing strata in the southern Qinshui Basin,China:Implications for coalbed methane(CBM) development[J]. Marine and Petroleum Geology,2020,113:104152.
[29] LIU S,SANG S,LIU H. Growth characteristics and genetic types of pores and fractures in a high-rank coal reservoir of the southern Qinshui basin[J]. Ore Geology Reviews,2015,64:140–151.
[30] 申鹏磊,吕帅锋,李贵山,等. 深部煤层气水平井水力压裂技 术——以沁水盆地长治北地区为例[J]. 煤炭学报,2021,46(8): 2 488–2 500.(SHEN Penglei,LV Shuaifeng,LI Guishan,et al. Hydraulic fracturing technology for deep coalbed methane horizontal wells:A case study in North Changzhi area of Qinshui Basin[J]. Journal of China Coal Society,2021,46(8):2 488–2 500.(in Chinese))
[31] SAMPATH K,PERERA M,ELSWORTH D. Discrete fracture matrix modelling of fully-coupled CO2 flow-deformation processes in fractured coal[J]. International Journal of Rock Mechanics and Mining Sciences,2021,138:104644.
[32] SETZMANN U,WAGNER W. A new equation of state and tables of thermodynamic properties for methane covering the range from the melting line to 625 K at pressures up to 100 MPa[J]. Journal of Physical and Chemical Reference Data,1991,20(6):1 061–1 155.
[33] BROWN S. Fluid flow through rock joints:the effect of surface roughness[J]. Journal of Geophysical Research,1987,(92):1 337– 1 347.
[34] 李 瑞. 煤层气排采中储层压降传递特征及其对煤层气产出的影响—以山西沁水盆地为例[博士学位论文][D]. 武汉:中国地质大学(武汉),2017.(LI Rui. Dynamic characteristics of reservoir depressurization during coalbed methane reservoir depletion and its influences on gas output in the Qinshui Basin,Shanxi Province[Ph. D. Thesis][D]. Wuhan:China University of Geoscience(Wuhan),2017.(in Chinese))
[35] 孙 强,孙建平,张 健,等. 沁水盆地南部柿庄南区块煤层气地质特征[J]. 中国煤炭地质,2010,22(6):9–12.(SUN Qiang,SUN Jianping,ZHANG Jian,et al. CBM geological characteristics in Shizhuang south block,southern Qinshui Basin[J]. Coal Geology of China,2010,22(6):9–12.(in Chinese))
[36] 顾小愚,钟 心. 无烟煤的物理性质对其型煤抗压强度的影响[J]. 煤炭转化,2009,32(2):71–74.(GU Xiaoyu,ZHONG Xin. Physical properties of anthracite and their effect on compressive strength of briquette[J]. Coal Conversion,2009,32(2):71–74.(in Chinese))
[37] 杨建平,陈卫忠,杨典森,等. 一种基于弹性应变能的裂隙岩体等效弹性模量评价方法[J]. 岩土力学,2016,37(8):2 159–2 164,2 171.(YANG Jianping,CHEN Weizhong,YANG Diansen,et al. A method for estimating equivalent elastic moduli of fractured rock masses based on elastic strain energy[J]. Rock and Soil Mechanics,2016,37(8):2 159–2 164,2 171.(in Chinese))
[38] 李术才,韩建新,仝兴华,等. 随机分布贯穿裂隙岩体变形特性研究[J]. 岩土力学,2012,33(9):2 677–2 682.(LI Shucai,HAN Jianxin,TONG Xinghua,et al. Study of deformation characteristics of rock mass with stochastic distribution of penetrative cracks[J]. Rock and Soil Mechanics,2012,33(9):2 677–2 682.(in Chinese))
[39] 张守仁. 沁水盆地煤层含气量和物性随埋深变化及其应力敏感性[J]. 中国煤层气,2016,13(3):7–9.(ZHANG Shouren. Change and stress sensitivity of physical properties and gas content of coal reservoir with depth in Qinshui Basin[J]. China Coalbed Methane,2016,13(3):7–9.(in Chinese))
[40] 傅雪海,秦 勇,李贵中. 沁水盆地中—南部煤储层渗透率主控因素分析[J]. 煤田地质与勘探,2001,29(3):16–19.(FU Xuehai,QIN Yong,LI Guizhong. An analysis on the principal control factor of coal reservoir permeability in central and southern Qinshui Basin[J]. Coal Geology and Exploration,2001,29(3):16–19.(in Chinese))
[41] 李明忠,陈会娟,张贤松,等. 煤层气多分支水平井井筒压力及入流量分布规律[J]. 中国石油大学学报:自然科学版,2014,38(1):92–97.(LI Mingzhong,CHEN Huijuan,ZHANG Xiansong,et al. Wellbore pressure and inflow rate distribution of multi-lateral horizontal well for coalbed methane[J]. Journal of China University of Petroleum,2014,38(1):92–97.(in Chinese))
[42] 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,2015,34(2):238–248.(WANG Gang,WU Mengmeng,WANG Haiyang,et al. Sensitivity analysis of factors affecting coal and gas outburst based on a energy equilibrium model[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(2):238–248.(in Chinese))
[43] 黄伟亮,杨晓平,李胜强,等. 焉耆盆地北缘断裂全新世滑动速率及地震危险性[J]. 地震地质,2018,40(1):186–203.(HUANG Weiliang,YANG Xiaoping,LI Shengqiang,et al. Holocene slip rate and earthquake hazard of the north-edge fault of the Yanqi Basin,southeastern Tian Shan,China[J]. Seismology and Geology,2018,40(1):186–203.(in Chinese))
[44] 崔笃信,王庆良,胡亚轩,等. 用GPS数据反演海原断裂带断层滑动速率和闭锁深度[J]. 地震学报,2009,31(5):516–525,596.(CUI Duxin,WANG Qingliang,HU Yaxuan,et al. Inversion of GPS data for slip rates and locking depths of the Haiyuan fault[J]. Acta Seismologica Sinica,2009,31(5):516–525,596.(in Chinese))
[45] 沈 军,汪一鹏. 用断裂滑动速率估计小江断裂带的地震危险性[J]. 地震研究,1999,22(3):251–259.(SHEN Jun,WANG Yipeng. Estimation of seismic risk of the Xiaojiang active fault zone using slip rate[J]. Journal of Seismological Research,1999,22(3):251–259.(in Chinese))
[46] 曾 希,董飞飞,廖 恒,等. 跨断层埋管力学行为的多参数模拟分析[J]. 武汉大学学报:工学版,2017,50(6):874–880.(ZENG Xi,DONG Feifei,LIAO Heng,et al. Multiparameter simulation analysis of numerical behavior of buried pipeline crossing fault[J]. Engineering Journal of Wuhan University,2017,50(6):874–880.(in Chinese))
[47] 朱庆杰,陈艳华,蒋录珍. 场地和断层对埋地管道破坏的影响分析[J]. 岩土力学,2008(9):2 392–2 396.(ZHU Qingjie,CHEN Yanhua,JIANG Luzhen. Influences of site and faults on damage of buried pipelines[J]. Rock and Soil Mechanics,2008(9):2 392–2 396.(in Chinese))
[48] 吴基文,闫立宏. 煤岩抗拉强度两种室内间接测定方法比较与成果分析[J]. 岩石力学与工程学报,2004,23(10):1 643–1 647.(WU Jiwen,YAN Lihong. Comparison study on two kinds of indirect measurement methods of tensile strength of coal in lab[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(10):1 643–1 647.(in Chinese))
[49] 闫立宏,吴基文. 淮北杨庄煤矿煤的抗拉强度试验研究与分析[J]. 煤炭科学技术,2002,30(5):39–41.(YAN Lihong,WU Jiwen. Test and analyze of tensile strength of coal in Huaibei Yangzhuang coal mine[J]. Coal Science and Technology,2002,30(5):39–41.(in Chinese))
[50] 赵俊龙,汤达祯,许 浩,等. 煤基质甲烷扩散系数测试及其影响因素分析[J]. 煤炭科学技术,2016,44(10):77–82.(ZHAO Junlong,TANG Dazhen,XU Hao,et al. Measurement of methane diffusion coefficient and analysis of its influencing factors in coal matrix[J]. Coal Science and Technology,2016,44(10):77–82.(in Chinese))
[51] 曹明亮,康永尚,邓 泽,等. 煤阶和构造应力强度对煤岩力学性质的影响作用[J]. 煤炭科学技术,2019,47(12):45–55.(CAO Mingliang,KANG Yongshang,DENG Ze,et al. Influence of coal rank and tectonic stress intensity on mechanical properties of coal rank[J]. Coal Science and Technology,2019,47(12):45–55.(in Chinese))