亓倩等：含微裂缝页岩储层渗流模型及压裂井产能 ·313 而增大，当扩散系数增大到6×107m2·s时，产气量 sient production decline of triple porosity model considering micro 分段式变化特征变得不明显.有机质孔隙内气体解吸 fractures in shale gas reservoir.Sci Technol Eng,2013.13(29): 使页岩气井产量递减减慢，解吸量越大，页岩气井产量 8595 (朱琴，张烈辉，张博宁，等.考虑微裂缝的页岩气藏三重介 越大，产量递减越慢，并对生产中、后期气体产能影响 质无因次产能递减研究.科学技术与程，2013,13(29)： 较大 8595) [12]Apaydin O G,Ozakan E,Raghavan R.Effect of discontinuous 参考文献 microfractures on ultratight matrix permeability of a dual-porosity 1]Yang F,Ning ZF,Hu C P,et al.Characterization of microscopic medium /SPE Canadian Unconventional Resources Conference pore structure in shale reservoirs.Acta Pet Sin,2013,34(2):301 Alberta,2011 (杨峰，宁正福，胡昌蓬，等.页岩储层微观孔隙结构特征 [13]Beskok A,Kamiadakis G E.A model for flows in channels, 石油学报，2013,34(2)：301) pipes,and ducts at micro and nano scales.Microscale 2]Somdergeld C.H.Ambrose R J,Rai C S,et al.Micro-structural Thermophys Eng,1999,3(1)43 studies of gas shales /SPE Unconrentional Gas Conference.New [4]Beskok A,Karniadakis CE,Trimmer W.Rarefaction and com- York,2010 pressibility effects in gas microflows.Fluids Eng,1996,118 3]Javadpour F,Fisher D.Unsworth M.Nanoscale gas flow in shale (3)448 gas sediments.J Can Pet Technol,2007,46(10):55 [15]Yao J,Sun H,Huang Z Q,et al.Key mechanical problems in 4]Wang F P.Reed R M.Pore networks and fluid flow in gas shales the development of shale gas reservoirs.Sci Sin Phys Mech 1/SPE Annual Technical Conference and Exhibition.New Orle- Astron,2013,43(12):1527 ans,2009 (姚军，孙海，黄朝琴，等.页岩气藏开发中的关键力学问 5]Zhu W Y,Ma Q,Deng J,et al.Mathematical model and applica- 题.中国科学：物理学，力学，天文学，2013,43(12)： tion of gas flow in nano-micron pores.Unie Sci Technol Beijing, 1527) 2014,36(6):709 16J Guo W,Xiong W,Gao SS,et al.Impact of temperature on the (朱维耀，马千，邓佳，等.纳微米级孔隙气体流动数学模型 isothermal adsorption/desorption characteristics of shale gas.Pet 及应用.北京科技大学学报，2014,36(6)：709) Explor Dev,2013,40(4):481 [6]Deng J,Zhu W Y,Ma Q.A new seepage model for shale gas res- (郭为，熊伟，高树生，等.温度对页岩等温吸附/解吸特征 ervoir and productivity analysis of fractured well.Fuel,2014, 影响.石油勘探与开发，2013,40(4)：481) 124:232 [17]De Swaan A 0.Analytic solutions for determining naturally frac- Wu Y S,Morids G J,Bai B,et al.A multi-continuum model for tured reservoir properties by well testing.Soc Pet Eng J.1976, gas production in tight fractured reservoirs//SPE Hydraulic Frac- 16(6):117 turing Technology Conference.Woodlands,2009 [18]Kazemi H.Pressure transient analysis of naturally fractured reser- Dehghanpour H,Shirdel M.A triple porosity model for shale gas voirs with uniform fracture distribution.Soc Pet Eng J,1969,9 reservoirs /SPE Canadian Unconrentional Resources Conference. (4):451 Alberta,2011 [19]Brown M L,Ozkan E,Raghavan R S,et al.Practical solutions Warren JE,Root PJ.The behavior of naturally fractured reser- for pressure-ransient responses of fractured horizontal wells in voirs.Soc Pet Eng J,1963,3(3)245 unconventional shale reservoirs.SPE Reserv Etal Eng,2009,14 [10]Ozkan E,Brown M,Raghavan R,et al.Comparison of fractured (6):663 horizontal-well performance in conventional and unconventional 0]Van Everdingen A F,Hurst W.The application of the Laplace reservoirs /SPE Western Regional Meeting.San Jose,2009 transformation to flow problems in reservoirs.J Pet Technol, [11]Zhu Q,Zhang L H,Zhang B N,et al.The research about tran- 1949,1(12):305亓 倩等: 含微裂缝页岩储层渗流模型及压裂井产能 而增大，当扩散系数增大到 6 × 10 － 7 m2 ·s － 1 时，产气量 分段式变化特征变得不明显． 有机质孔隙内气体解吸 使页岩气井产量递减减慢，解吸量越大，页岩气井产量 越大，产量递减越慢，并对生产中、后期气体产能影响 较大． 参 考 文 献 ［1］ Yang F，Ning Z F，Hu C P，et al． Characterization of microscopic pore structure in shale reservoirs． Acta Pet Sin，2013，34( 2) : 301 ( 杨峰，宁正福，胡昌蓬，等． 页岩储层微观孔隙结构特征． 石油学报，2013，34( 2) : 301) ［2］ Somdergeld C H，Ambrose Ｒ J，Ｒai C S，et al． Micro-structural studies of gas shales / / SPE Unconventional Gas Conference． New York，2010 ［3］ Javadpour F，Fisher D，Unsworth M． Nanoscale gas flow in shale gas sediments． J Can Pet Technol，2007，46( 10) : 55 ［4］ Wang F P，Ｒeed Ｒ M． Pore networks and fluid flow in gas shales / / SPE Annual Technical Conference and Exhibition． New Orle￾ans，2009 ［5］ Zhu W Y，Ma Q，Deng J，et al． Mathematical model and applica￾tion of gas flow in nano-micron pores． J Univ Sci Technol Beijing， 2014，36( 6) : 709 ( 朱维耀，马千，邓佳，等． 纳微米级孔隙气体流动数学模型 及应用． 北京科技大学学报，2014，36( 6) : 709) ［6］ Deng J，Zhu W Y，Ma Q． A new seepage model for shale gas res￾ervoir and productivity analysis of fractured well． Fuel，2014， 124: 232 ［7］ Wu Y S，Morids G J，Bai B，et al． A multi-continuum model for gas production in tight fractured reservoirs / / SPE Hydraulic Frac￾turing Technology Conference． Woodlands，2009 ［8］ Dehghanpour H，Shirdel M． A triple porosity model for shale gas reservoirs / / SPE Canadian Unconventional Ｒesources Conference． Alberta，2011 ［9］ Warren J E，Ｒoot P J． The behavior of naturally fractured reser￾voirs． Soc Pet Eng J，1963，3( 3) : 245 ［10］ Ozkan E，Brown M，Ｒaghavan Ｒ，et al． Comparison of fractured horizontal-well performance in conventional and unconventional reservoirs / / SPE Western Ｒegional Meeting． San Jose，2009 ［11］ Zhu Q，Zhang L H，Zhang B N，et al． The research about tran￾sient production decline of triple porosity model considering micro fractures in shale gas reservoir． Sci Technol Eng，2013，13( 29) : 8595 ( 朱琴，张烈辉，张博宁，等． 考虑微裂缝的页岩气藏三重介 质无因次产能递减 研 究． 科 学 技 术 与 程，2013，13 ( 29 ) : 8595) ［12］ Apaydin O G，Ozakan E，Ｒaghavan Ｒ． Effect of discontinuous microfractures on ultratight matrix permeability of a dual-porosity medium / / SPE Canadian Unconventional Ｒesources Conference． Alberta，2011 ［13］ Beskok A，Karniadakis G E． A model for flows in channels， pipes， and ducts at micro and nano scales． Microscale Thermophys Eng，1999，3( 1) : 43 ［14］ Beskok A，Karniadakis G E，Trimmer W． Ｒarefaction and com￾pressibility effects in gas microflows． Fluids Eng，1996，118 ( 3) : 448 ［15］ Yao J，Sun H，Huang Z Q，et al． Key mechanical problems in the development of shale gas reservoirs． Sci Sin Phys Mech Astron，2013，43( 12) : 1527 ( 姚军，孙海，黄朝琴，等． 页岩气藏开发中的关键力学问 题． 中国 科 学: 物 理 学，力 学，天 文 学，2013，43 ( 12 ) : 1527) ［16］ Guo W，Xiong W，Gao S S，et al． Impact of temperature on the isothermal adsorption /desorption characteristics of shale gas． Pet Explor Dev，2013，40( 4) : 481 ( 郭为，熊伟，高树生，等． 温度对页岩等温吸附/解吸特征 影响． 石油勘探与开发，2013，40( 4) : 481) ［17］ De Swaan A O． Analytic solutions for determining naturally frac￾tured reservoir properties by well testing． Soc Pet Eng J，1976， 16( 6) : 117 ［18］ Kazemi H． Pressure transient analysis of naturally fractured reser￾voirs with uniform fracture distribution． Soc Pet Eng J，1969，9 ( 4) : 451 ［19］ Brown M L，Ozkan E，Ｒaghavan Ｒ S，et al． Practical solutions for pressure-transient responses of fractured horizontal wells in unconventional shale reservoirs． SPE Ｒeserv Eval Eng，2009，14 ( 6) : 663 ［20］ Van Everdingen A F，Hurst W． The application of the Laplace transformation to flow problems in reservoirs． J Pet Technol， 1949，1( 12) : 305 ·313·