The gas mass transport model considering the dynamic change of micro-fracture width in shale

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  • 1.State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Southwest Petroleum University,Chengdu 610500,China; 2.PetroChina Southwest Oil and Gas Field Branch Company,Chengdu 610017,China

Received date: 2018-07-08

  Revised date: 2018-10-15

  Online published: 2019-03-11

Abstract

Shale gas reservoirs generally develop micro-fractures.During pressure-relief production,the change of micro-fracture width caused by stress-sensitivity is an important factor affecting shale gas transport.Based on the cubic grid model,the slippage flow model,the Knudsen diffusion model and the surface diffusion model,a gas mass transporting model considering the dynamic change of shale micro-fracture width is established by using elastic-plastic mechanics and desorption theory of adsorption gas.Meanwhile,the molecular simulation results verify the reliability of the model.On this basis,considering the dynamic change of micro-fracture width,the law of shale gas mass transport is studied,and the contribution of different transporting mechanisms to the total gas transport is discussed.The results show that:(1)Considering the change of micro-fracture width caused by stress-sensitivity,the model established in this paper can well reflect these coexisting flows including continuous flow,slippage flow,Knudsen flow and surface diffusion flow.(2)Compared with original transporting capacity without considering the change of micro-fracture width,when the formation pressure is higher than 3.4MPa,the change of micro-fracturewidth decreases the gas transporting capacity,and the minimum transporting capacity is only 0.45 times of the original transporting capacity,while the formation pressure is less than 3.4MPa,the change of micro-fracture width increases the gas transporting capacity,the maximum transporting capacity is 4.5 times of the original transporting capacity.(3)The gas mass transport is negatively correlated with the compressibility of micro-fracture and positive correlation with the Young’s modulus and Poisson’s ratio of the rock.When the formation pressure is less than 4MPa,the gas mass transport is positively correlated with the gas desorption.When the formation pressure is greater than 4MPa,the effect of different gas adsorption on gas mass transport is almost the same.(4)Considering the change of the micro-fracture width,only when the micro-fracture is nano-scale and the formation pressure is relatively low,the surface diffusion can exert a great influence on the gas transport.When the contribution of surface diffusion to total gas transport is small,the contributions of slippage and Knudsen flow respectively to total gas transport show a tendency of “shifting from one another”.When the proportion of surface diffusion is larger,with the decrease of contribution of surface diffusion,the contributions of slippage and Knudsen flow respectively to total gas transport will increase together in the first stage and then “shifting from one another” in the second stage.

Cite this article

Zeng Fan-hui, Peng Fan, Guo Jian-chun, Zhong Hua, Xiang Jian-hua . The gas mass transport model considering the dynamic change of micro-fracture width in shale[J]. Natural Gas Geoscience, 2019 , 30(2) : 237 -246 . DOI: 10.11764/j.issn.1672-1926.2018.10.010

References

[1]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.
[2]Singh H,Javadpour F,Ettehadtavakkol A,et al.Nonempirical apparent permeability of shale[J].SPE Reservoir Evaluation & Engineering,2013,17(3):414-424.
[3]Shahri M R,Aguilera R,Kantzas A.A new unified diffusion-viscous flow model based on pore level studies of tight gas formations[J].SPE Journal,2012,18(1):38-49.
[4]Roy S,Raju R,Chuang H F,et al.Modeling gas flow through microchannels and nanopores[J].Journal of Applied Physics,2003,93(8):4870-4879.
[5]Shi J,Zhang L,Li Y,et al.Diffusion and Flow Mechanisms of Shale Gas Through Matrix Pores and Gas Production Forecasting[C]//SPE Unconventional Resources Conference.Calgary,Alberta,Canada:Society of Petroleum Engineers,2013:5-7.
[6]Rahmanian M R,Solano N,Aguilera R.Storage and Output Flow From Shale and Tight Gas Reservoirs[C]//SPE Western Regional Meeting.Anaheim,California:Society of Petroleum Engineers,2010:27-29.
[7]Chalmers G R,Bustin R M,Power I M.Characterization of gas shale pore systems by porosimetry,pycnometry,surface area,and field emission scanning electron microscopy/transmission electron microscopy image analyses:Examples from the Barnett,Woodford,Haynesville,Marcellus,and Doig unit[J].AAPG Bulletin,2012,96(6):1099-1119.
[8]Chen J,Xiao X.Evolution of nanoporosity in organic-rich shales during thermal maturation[J].Fuel,2014,129(4):173-181.
[9]Wu Keliu,Li Xiangfang,Chen Zhangxing,et al.Gas transport behavior through micro fractures of shale and tight gas reservoirs[J].Chinese Journal of Theoretical and Applied Mechanics,2015,47(6):955-964.
吴克柳,李相方,陈掌星,等.页岩气和致密砂岩气藏微裂缝气体传输特性[J].力学学报,2015,47(6):955-964.
[10]Wu Keliu,Chen Zhangxing.Review of gas transport in nanopores in shale gas reservoirs[J].Petroleum Science Bulletin,2016,1(1):91-127.
吴克柳,陈掌星.页岩气纳米孔气体传输综述[J].石油科学通报,2016,1(1):91-127.
[11]Dong J J,Hsu J Y,Wu W J,et al.Stress-dependence of the permeability and porosity of sandstone and shale from TCDP Hole-A[J].International Journal of Rock Mechanics & Mining Sciences,2010,47(7):1141-1157.
[12]Yao Yuping,Zhou Shining.The mechanical property of coal containing gas[J].Journal of China University of Mining & Technology,1988,1(1):4-10.
姚宇平,周世宁.含瓦斯煤的力学性质 [J].中国矿业学院学报,1988,1(1):4-10.
[13]Wu K,Li X,Wang C,et al.Model for surface diffusion of adsorbed gas in nanopores of shale gas reservoirs[J].Industrial & Engineering Chemistry Research,2015,54(12):3225-3236.
[14]Javadpour F,Fisher D,Unsworth M.Nanoscale gas flow in shale gas sediments[J].Journal of Canadian Petroleum Technology,2007,46(10):55-61.
[15]Cui X,Bustin A M M,Bustin R M.Measurements of gas permeability and diffusivity of tight reservoir rocks:different approaches and their applications[J].Geofluids,2010,9(3):208-223.
[16]Kang S M,Fathi E,Ambrose R J,et al.Carbon dioxide storage capacity of organic-rich shales[J].SPE Journal,2010,16(4):842-855.
[17]Fathi E,Akkutlu I Y.Multi-component gas transport and adsorption effects during CO2 injection and enhanced shale gas recovery[J].International Journal of Coal Geology,2014,123(2):52-61.
[18]Darabi H,Ettehad A,Javadpour F,et al.Gas flow in ultra-tight shale strata[J].Journal of Fluid Mechanics,2012,710(12):641-658.
[19]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.
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.
[20]Dong C,Pan Z,Ye Z.Dependence of gas shale fracture permeability on effective stress and reservoir pressure:Model match and insights[J].Fuel,2015,139:383-392.
[21]Robertson E P,Christiansen R L.A permeability model for coal and other fractured,sorptive-elastic media[J].SPE Journal,2006,13(3):314-324.
[22]Thompson S L,Owens W R.A survey of flow at low pressures[J].Vacuum,1975,25(4):151-156.
[23]Loeb L B.The Kinetic Theory of Gases[M].2nd ed.New York:McGraw-Hill Co.Inc.,1934.
[24]Karniadakis G,Beskok A,Aluru N.Microflows and Nanoflows:Fundamentals and Simulation[M].New York:Springer Verlag,2005.
[25]Freeman C M,Moridis G J,Blasingame T A.A numerical study of microscale flow behavior in tight gas and shale gas reservoir systems[J].Transport in Porous Media,2011,90(1):253-268.
[26]Sone Y,Hasegawa M.Poiseuille and thermal transpiration flows of a rarefied gas through a rectangular pipe[J].Journal of the Vacuum Society of Japan,1987,30(5):425-428.
[27]Loyalka S K,Hamoodi S A.Poiseuille flow of a rarefied gas in a cylindrical tube:Solution of linearized Boltzmann equation[J].Physics of Fluids A Fluid Dynamics,1989,2(11):2061-2065.
[28]Cercignani C.Theory and application of the Boltzmann equation[J].Physics Today,1977,30(1):66-68.
[29]Williams M M R.Mathematical Methods in Particle Transport Theory[M].London:Wiley-Interscience,Butterworths,1971.
[30]Kogan M N.Rarefied gas dynamics[J].Physics Today,1961,14(9):90-92.
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