An approximation of the relative permeability and discussion on curve shapes in coalbed methane reservoirs
ZHU Suyang1,PENG Xiaolong1,LI Chuanliang1,DENG Peng1,MA Feiying2,PENG Zhaoyang2,3,#br#
SUN Hanshen4,JIA Huimin5
(1. State Key Laboratory of Oil and Gas Geology and Exploitation,Southwest Petroleum University,Chengdu,Sichuan 610500,China;2. Engineering and Technology Center of Unconventional Resource,Guangdong Petroleum and Chemical Engineering Institute,Maoming,Guangdong 525000,China;3. Sichuan Tebake Oil and Gas Ltd.,Company,Chengdu,Sichuan 610500,China;4. Zhonglian CBM Ltd.,Company,Beijing 100000,China;5. PetroChina Huabei Oil field CBM Exploration and Exploitation Company,Jincheng,Shanxi 048000,China)
Abstract:In coalbed methane(CBM) reservoirs,relative permeability curves are commonly obtained using gas-water displacement experiment,and it is commonly concluded that the 2-phase flow area is very narrow and that the critical water saturation is extremely high according to experimental results. However,the fluid flow in coal is a complex process of coupled desorption from matrix and 2-phase flow in cleats. The process that gas desorbs from matrix,enters cleats and displaces water is different from one-direction gas displacement in laboratory,which leads to that the sweeping efficiency in production process is higher than that in experiment. To obtain the appropriate relative permeability in coal,a CBM productivity model was established in pseudo-steady state considering the desorption effect in matrix. Combining the material balance equation,an inversion method of the relative permeability curve in CBM reservoirs was proposed based on production history. The difference between relative permeability curves obtained from experiment and the developed method was discussed,and it is pointed out that the difference contributes to the low sweeping efficiency in experiment. Finally,the effects of two types of relative permeability curves were illustrated using numerical simulation method.
[1] 郭 晨,夏玉成,卫兆祥,等. 韩城矿区煤层气成藏条件及类型划分[J]. 煤炭学报,2018,43(增1):192–202.(GUO Chen,XIA Yucheng,WEI Zhaoxiang,et al. Coalbed methane accumulation characteristics and type classification in Hancheng mining area[J]. Journal of China Coal Society,2018,43(Supp.1):192–202.(in Chinese))
[2] 王超文,彭小龙,朱苏阳,等. 大倾角厚煤层煤层气开采井型优化及布井方法[J]. 岩石力学与工程学报,2019,38(2):313–320.(WANG Chaowen,PENG Xiaolong,ZHU Suyang,et al. Coalbed methane well- type optimization and well pattern arrangement for thick coal seam with a large dip angle[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(2):313–320.(in Chinese))
[3] 鲍先凯,杨东伟,段东明,等. 高压电脉冲水力压裂法煤层气增透的试验与数值模拟[J]. 岩石力学与工程学报,2017,36(10):2 415– 2 423.(BAO Xiankai,YANG Dongwei,DUAN Dongming,et al. The experiment and numerical simulation of penetration of coalbed methane upon hydraulic fracturing under high-voltage electric pulse[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(10):2 415–2 423.(in Chinese))
[4] 宋 岩,李 卓,姜振学,等. 非常规油气地质研究进展与发展趋势[J]. 石油勘探与开发,2017,44(4):638–648.(SONG Yan,LI Zhuo,JIANG Zhenxue,et al. Progress and development trend of unconventional oil and gas geological research[J]. Petroleum Exploration and Development,2017,44(4):638–648.(in Chinese))
[5] CLARKSON C R,BUSTIN R. The effect of pore structure and gas pressure upon the transport properties of coal:a laboratory and modeling study. 1. Isotherms and pore volume distributions[J]. Fuel,1999,78(11):1 333–1 344.
[6] FENG Q,ZHANG J,ZHANG X,et al. Optimizing well placement in a coalbed methane reservoir using the particle swarm optimization algorithm[J]. International Journal of Coal Geology,2012,104:34–45.
[7] 马 波,许 江,刘龙荣,等. 抽采长度对煤层气开采效果的影响分析[J]. 岩石力学与工程学报,2017,36(1):175–185.(MA Bo,XU Jiang,LIU Longrong,et al. Analysis of the effect of the borehole length on the efficiency of coal-bed methane exploitation[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(1):175–185.(in Chinese))
[8] 冯其红,舒成龙,张先敏,等. 煤层气井两相流阶段排采制度实时优化[J]. 煤炭学报,2015,40(1):142–148.(FENG Qihong,SHU Chenglong,ZHANG Xianmin,et al. Real-time optimization of drainage schedule for coalbed methane wells at gas-water two-phase flow stage[J]. Journal of China Coal Society,2015,40(1):142–148.(in Chinese))
[9] CLARKSON C R,QANBARI F. Transient flow analysis and partial water relative permeability curve derivation for low permeability undersaturated coalbed methane wells[J]. International Journal of Coal Geology,2015,152:110–124.
[10] BUSTIN R,CLARKSON C. Geological controls on coalbed methane reservoir capacity and gas content[J]. International Journal of Coal Geology,1998,38(1):3–26.
[11] 徐兵祥,李相方,杜希瑶,等. 煤层气井解吸区预测模型研究[J]. 中国矿业大学学报,2013,42(3):421–427.(XU Bingxiang,LI Xiangfang,DU Xiyao,et al. The predictive models of desorption region for coalbed methane wells[J]. Journal of China University of Mining and Technology,2013,42(3):421–427.(in Chinese))
[12] ZHU S,PENG X,DU Z,et al. Modeling of coal fine migration during CBM production in high-rank coal[J]. Transport in Porous Media,2017,118(1):65–83.
[13] DURUCAN S,AHSAN M,SYED A,et al. Two phase relative permeability of gas and water in coal for enhanced coalbed methane recovery and CO2 storage[J]. Energy Procedia,2013,37:6 730– 6 737.
[14] 申 建,秦 勇,傅雪海,等. 沁水盆地不同煤阶煤相渗规律实验和模型研究[C]// 全国煤层气学术研讨会. [S. l.]:[s. n.],2010:93–98.(SHEN Jian,QIN Yong,FU Xuehai,et al. The research on experiment and models of coal relative permeability of different coal-ranks in Qinshui Basin[C]// China Coalbed Methane Academic Symposium. [S. l.]:[s. n.],2010:93–98.(in Chinese))
[15] PING Y J,XU H,BIN G,et al. Nuclear magnetic resonance T2 spectrum:multifractal characteristics and pore structure evaluation[J]. Applied Geophysics:English edition,2017,14(2):205–215.
[16] 李传亮. 油藏工程原理[M]. 北京:石油工业出版社,2011:68–70.(LI Chuanliang. Fundamentals of reservoir engineering[M]. Beijing:Petroleum Industry Press,2011:68–70.(in Chinese))
[17] SEIDLE J. Fundamentals of coalbed methane reservoir engineering[M]. Oklahoma:PennWell Books,2011:247–267.
[18] CLARKSON C R,JORDAN C L,GIERHART R R,et al. Production data analysis of coalbed-methane wells[J]. SPE Reservoir Evaluation and Engineering,2008,11(2):311–325.
[19] ZHU S,SALMACHI A,DU Z. Two phase rate-transient analysis of a hydraulically fractured coal seam gas well:A case study from the Ordos Basin,China[J]. International Journal of Coal Geology,2018,195:47–60.
[20] SALMACHI A,CLARKSON C,ZHU S,et al. Relative Permeability Curve Shapes in Coalbed Methane Reservoirs[C]// Asia-Pacific Oil and Gas Conference and Exhibition. Brisbane:[s. n.],2018:SPE–192029.
[21] 邓 鹏,彭小龙,朱苏阳,等. 煤层气井的排水量不一定等于煤层的产水量[J]. 新疆石油地质,2016,37(6):715–719.(DENG Peng,PENG Xiaolong,ZHU Suyang,et al. Water discharge from coalbed methane(CBM) well may not be equal to water production[J]. Coalbed Xinjiang Petroleum Geology,2016,37(6):715–719.(in Chinese))
[22] 马东民,殷屈娟. 影响韩城地区煤层气产出的主要因素[J]. 西安科技学院学报,2002,22(2):162–165.(MA Dongmin,YIN Qujuan. Analysis of major factor influencing the coal bed methane in Hancheng area[J]. Journal of Xi?an University of Science and Technology,2002,22(2):162–165.(in Chinese))
[23] ZHAO J,TANG D,LIN W,et al. Permeability dynamic variation under the action of stress in the medium and high rank coal reservoir[J]. Journal of Natural Gas Science and Engineering,2015,26:1 030–1 041.
[24] MAVOR M J,ROBINSON J R. Analysis of coal gas reservoir interference and cavity well tests[C]// SPE Rocky Mountain Regional/Low Permeability Reservoirs Symposium. Denver:[s. n.], 1993:SPE 25860.