In order to reveal the mechanism of gas diffusion in micro- and nano-pores of shale, aiming at the problem that it is difficult to quantitatively characterize the gas diffusion capacity of shale reservoirs, a new gas diffusion coefficient model considering shale porosity, tortuosity and flow Kn number (ratio of average free path of gas molecules to flow characteristic scale, dimensionless) is established based on differential form momentum equation considering fluid viscosity. The model was verified with the self-developed shale near equilibrium experiment, and then a chart of influencing factors of shale gas diffusion coefficient was formed. The research results show that: considering the porosity, tortuosity and other porous media parameters and flow Kn number of shale gas, the newly established diffusion coefficient model can more accurately characterize the diffusion ability of shale gas, and the coincidence degree with the near equilibrium diffusion flow rate is more than 90%. Diffusion coefficient is negatively related to pressure and positively related to pore diameter. When the pressure is lower than 20 MPa, the pore diameter is lower than 10 nm or the Kn number is higher than 0.2, the influence of the above parameters on the diffusion coefficient must be considered. This study realizes the quantitative calculation of shale gas diffusion flow rate under reservoir conditions, which can be used to establish shale apparent permeability model, and provide scientific basis for the contribution of shale gas diffusion to production in different production stages, adjustment of production system and improvement of single well production.
Chen Lu
,
Hu Zhiming
,
Xiong Wei
,
Yang Hang
,
Duan Xianggang
,
Chang Jin
. Characterization Model and Experimental Study of Shale Gas Diffusion Capacity Based on Momentum Equation[J]. Special Oil & Gas Reservoirs, 2020
, 27(5)
: 132
-138
.
DOI: 10.3969/j.issn.1006-6535.2020.05.020
[1] 邓佳.页岩气储层多级压裂水平井非线性渗流理论研究[D].北京:北京科技大学,2015.
DENG Jia.Nonlinear seepage theory of multistage fractured horizontal wells for shale gas reservoirs[D].Beijing:University of Science and Technology Beijing,2015.
[2] 朱维耀,亓倩.页岩气多尺度复杂流动机理与模型研究[J].中国科学:技术科学,2016,46(2):111-119.
ZHU Weiyao,QI Qian.Study on the multi-scale nonlinear flow mechanism and model of shale gas[J].Scientia Sinica Technologica,2016,46(2):111-119.
[3] 陈明君,康毅力,张廷山,等.页岩气多尺度传质特征及过程协调机制研究[J].中国科学:技术科学,2018,48(5):473-487.
CHEN Mingjun,KANG Yili,ZHANG Tingshan,et al.Characteristics of multiscale mass transport and coordination mechanisms for shale gas[J].Scientia Sinica Technologica,2018,48(5):473-487.
[4] JAVADPOUR F,FISHER D,UNSWORTH M.Nanoscale gas flow in shale gas sediments[J].Journal of Canadian Petroleum Technology,2007,46(10):55-61.
[5] 夏阳,金衍,陈勉,等.页岩气渗流数学模型[J].科学通报,2015,60(24):2259-2271.
XIA Yang,JIN Yan,CHEN Mian,et al.Gas flow in shale reservoirs[J].Chinese Science Bulletin,2015,60(24): 2259-2271.
[6] JAVADPOUR F.Nanopores and apparent permeability of gas flow in mudrocks (shales and siltstone)[J].Journal of Canadian Petroleum Technology,2009,48(8):16-21.
[7] 吴克柳,李相方,陈掌星.页岩气纳米孔气体传输模型[J].石油学报,2015,36(7):837-848,88 9.
WU Keliu,LI Xiangfang,CHEN Zhangxing.A model for gas transport through nanopores of shale gas reservoirs[J].Acta Petrolei Sinica,2015,36(7):837-848,889.
[8] THORSTENSON DC,POLLOCK DW.Gas transport in unsaturated porous media:the adequacy of Fick's law[J].Reviews of Geophysics,1989,27(1):61-78.
[9] XIONG X,DEVEGOWDA D,MICHEL V G G,et al.A fully-coupled free and adsorptive phase transport model for shale gas reservoirs including non-Darcy flow effects[C].SPE159758,2012:1-14.
[10] 周光埛,严宗毅,许世雄,等.流体力学[M].北京:高等教育出版社,2000:118-123.
ZHOU Guangjiong,YAN Zongyi,XU Shixiong,et al.Fluid mechanics[M].Beijing:Higher Education Press,2000:118-123.
[11] CRAMER MS.Numerical estimates for the bulk viscosity of ideal gases[J].Physics of Fluids,2012,24(6):1-24.
[12] 郑仟.分形多孔介质中气体流动与扩散的输运特性研究[D].武汉:华中科技大学,2012.
ZHENG Qian.Study of some transport properties for gas flow and diffusion through fractal porous media[D].Wuhan: Huazhong University of Science and Technology,2012.
[13] 邓庆军,朱维耀,王小峰,等.多孔介质中微观力的作用及渗流模型[J].北京科技大学学报,2014,36(4):415-423.
DENG Qingjun,ZHU Weiyao,WANG Xiaofeng,et al.Seepage model considering micro forces in porous media[J].Journal of University of Science and Technology Beijing,2014,36(4):415-423.