.10 工程科学学报，第44卷，第X期 underground fluids.Int Assoc Sci Hydrol Bull,1957,2(1):222 [42]Wang C,Nguyen N T,Wong T N,et al.Investigation of active [26]Allen M B.Basic Mechanics of Oil Reservoir Flows.New York: interface control of pressure driven two-fluid flow in Springer Press,1988 microchannels.Sens Actuators 4,2007,133(2):323 [27]Hu G Q,Li D Q.Multiscale phenomena in microfluidics and [43]Datta S S,Ramakrishnan T S,Weitz D A.Mobilization of a nanofluidics.Chem Eng Sci,2007,62(13):3443 trapped non-wetting fluid from a three-dimensional porous [28]Civan F.A triple-mechanism fractal model with hydraulic medium.Phys Fluids,2014,26(2):022002 dispersion for gas permeation in tight reservoirs /SPE [44]Arif M,Mahmoud M,Zhang Y H.et al.X-ray tomography International Petroleum Conference and Exhibition in Mexico. imaging of shale microstructures:A review in the context of Villahermosa,2002:SPE-74368-MS multiscale correlative imaging.CoalGol,2021,233:103641 [29]Roy S,Raju R,Chuang H F,et al.Modeling gas flow through [45]Deng Q J.Microscale Occurence and Recovery Mechanism of microchannels and nanopores.JApp/Phys,2003,93(8):4870 Remaining Oil in Sazhong Area at Extra-High Water Cut Stage of [30]Li Z H,Zheng X.The problems and progress in the experimental Daqing Field [Dissertation].Daqing:Northeast Petroleum study of micro/nano-scale flow.J Exp Fluid Mech,2014,28(3):1 University,2015 (李战华，郑旭.微纳米尺度流动实验研究的问题与进展，实验 (邓庆军.大庆油田萨中开发区特高含水期微观剩余油成因及 流体力学，2014,28(3)：1) 动用机制研究学位论文]大庆：东北石油大学，2015) [31]Wang J L,Song H Q,Zhu W Y,et al.Flow characteristics and a [46]Xiong Q R,Baychev T G,Jivkov A P.Review of pore network permeability model in nanoporous media with solid-liquid modelling of porous media:Experimental characterisations, interfacial effects.Interpretation,2017,5(1):SB1 network constructions and applications to reactive transport.J [32]Keenan J H,Neumann E P.Measurements of friction in a pipe for Contam Hydrol,.2016,192:101 subsonic and supersonic flow of air.JAppl Mech,1946,13(2): [47]Fatt I.The network model of porous media.Trans A/ME,1956, A91 207(1):144 [33]Pfitzner J.Poiseuille and his law.Anaesthesia,1976,31(2):273 [48]Dullien F A L,Lai F S Y,MacDonald I F.Hydraulic continuity of [34]Zhang X L,Zhu W Y,Cai Q,et al.Analysis of weakly residual wetting phase in porous media.J Colloid Interface Sci, compressible fluid flow in nano /micro-size circular tubes 1986,109(1):201 considering solid wall force.J Univ Sci Technol Beijing,2014, [49]Zhang X L,Shi Y T,Kuang S Y,et al.Microscale effects of 36(5:569 Bingham-plastic liquid behavior considering electroviscous effects (张雪龄，朱维耀，蔡强，等.考虑固壁作用力的微可压缩流体纳 in nano-or microsized circular tubes.Phys Fluids,2019,31(2): 微米圆管流动分析.北京科技大学学报，2014,36(5)：569) 022001 [35]Bonaccurso E,Butt H J,Craig V S.Surface roughness and [50]Zhang X L,Kuang S Y,Shi Y T,et al.Research progress on the hydrodynamic boundary slip of a Newtonian fluid in a completely nonlinear seepage characteristics of tight oil in nano-micron wetting system.Phys Rev Lett,2003,90(14):144501 porous media.China Offshore Oil Gas,2019,31(4):102 [36]Shen W J,Song F Q,Hu X,et al.Experimental study on flow (张雪龄，邝颂雅，师渝滔，等.致密油纳微米孔隙介质非线性渗 characteristics of gas transport in micro-and nanoscale pores.Sci 流特性研究进展.中国海上油气，2019,31(4)：102) Rep,2019,9:10196 [51]Xie C Y,Xu K,Mohanty K,et al.Nonwetting droplet oscillation [37]Ou J,Rothstein J P.Direct velocity measurements of the flow past and displacement by viscoelastic fluids.Phys Rev Fluids,2020. drag-reducing ultrahydrophobic surfaces.Phys Fluids,2005, 5(6):063301 17(10):103606 [52]Wang J X,Wu X D,Yang P H,et al.Calculating the imbibition [38]Pak T,Butler I B,Geiger S,et al.Droplet fragmentation:3D relative permeability of a gas-liquid system by pore scale network imaging of a previously unidentified pore-scale process during model.Nat Gas Ind,2003,23(3):8 multiphase flow in porous media.PN4S,2015,112(7):1947 (王金勋，吴晓东，杨普华，等.孔隙网络模型法计算气液体系吸 [39]Wang Y M,Pang Y M,Yang S F,et al.Study on classification of 吮过程相对渗透率.天然气工业，2003,23(3)：8) low-permealility sandstone reservoirs based on the starting [53]Han Q.Qu Z.Ye Z Y.Research status of shale multi-scale pressure gradient.Geol/China Univ,005,11(4):617 mechanical properties.Chin JAppl Mech,2018,35(3):564 (王渝明，庞颜民，杨树锋，等.基于启动压力梯度的低渗透砂岩 (韩强，屈展，叶正寅.页岩多尺度力学特性研究现状.应用力学 储层分类研究.高校地质学报，2005,11(4)：617) 学报，2018,35(3)：564) [40]Jerauld G R,Salter S J.The effect of pore-structure on hysteresis [54]Ma Y J,Wang R F.Non-linear seepage models for sandstone in relative permeability and capillary pressure:Pore-level reservoirs of ultra-low permeability and shallow layers.Gas Field, modeling.Transp Porous Media,1990.5(2):103 2017,24(4):514 [41]McDougall S R,Sorbie K S.The impact of wettability on (马勇军，王瑞飞.超低渗浅层砂岩油藏储层非线性渗流模型. waterflooding:Pore-scale simulation.SPE Reserv Eng,1995, 断块油气田，2017,24(4)：514) 10(3):208 [55]Ma Q Z,Yang S L,Wang J R,et al.Non-linear seepage model ofunderground fluids. Int Assoc Sci Hydrol Bull, 1957, 2（1）: 222 Allen M B. Basic Mechanics of Oil Reservoir Flows. New York: Springer Press, 1988 [26] Hu  G  Q,  Li  D  Q.  Multiscale  phenomena  in  microfluidics  and nanofluidics. Chem Eng Sci, 2007, 62（13）: 3443 [27] Civan  F.  A  triple-mechanism  fractal  model  with  hydraulic dispersion  for  gas  permeation  in  tight  reservoirs  // SPE International Petroleum Conference and Exhibition in Mexico. Villahermosa, 2002: SPE-74368-MS [28] Roy  S,  Raju  R,  Chuang  H  F,  et  al.  Modeling  gas  flow  through microchannels and nanopores. J Appl Phys, 2003, 93（8）: 4870 [29] Li Z H, Zheng X. The problems and progress in the experimental study of micro/nano-scale flow. J Exp Fluid Mech, 2014, 28（3）: 1 （李战华, 郑旭. 微纳米尺度流动实验研究的问题与进展. 实验 流体力学, 2014, 28（3）：1） [30] Wang J L, Song H Q, Zhu W Y, et al. Flow characteristics and a permeability  model  in  nanoporous  media  with  solid-liquid interfacial effects. Interpretation, 2017, 5（1）: SB1 [31] Keenan J H, Neumann E P. Measurements of friction in a pipe for subsonic  and  supersonic  flow  of  air. J Appl Mech,  1946,  13（2）: A91 [32] [33] Pfitzner J. Poiseuille and his law. Anaesthesia, 1976, 31（2）: 273 Zhang  X  L,  Zhu  W  Y,  Cai  Q,  et  al.  Analysis  of  weakly compressible  fluid  flow  in  nano  /micro-size  circular  tubes considering  solid  wall  force. J Univ Sci Technol Beijing,  2014, 36（5）: 569 （张雪龄, 朱维耀, 蔡强, 等. 考虑固壁作用力的微可压缩流体纳 微米圆管流动分析. 北京科技大学学报, 2014, 36（5）：569） [34] Bonaccurso  E,  Butt  H  J,  Craig  V  S.  Surface  roughness  and hydrodynamic boundary slip of a Newtonian fluid in a completely wetting system. Phys Rev Lett, 2003, 90（14）: 144501 [35] Shen  W  J,  Song  F  Q,  Hu  X,  et  al.  Experimental  study  on  flow characteristics of gas transport in micro- and nanoscale pores. Sci Rep, 2019, 9: 10196 [36] Ou J, Rothstein J P. Direct velocity measurements of the flow past drag-reducing  ultrahydrophobic  surfaces. Phys Fluids,  2005, 17（10）: 103606 [37] Pak  T,  Butler  I  B,  Geiger  S,  et  al.  Droplet  fragmentation:  3D imaging  of  a  previously  unidentified  pore-scale  process  during multiphase flow in porous media. PNAS, 2015, 112（7）: 1947 [38] Wang Y M, Pang Y M, Yang S F, et al. Study on classification of low-permealility  sandstone  reservoirs  based  on  the  starting pressure gradient. Geol J China Univ, 2005, 11（4）: 617 （王渝明, 庞颜民, 杨树锋, 等. 基于启动压力梯度的低渗透砂岩 储层分类研究. 高校地质学报, 2005, 11（4）：617） [39] Jerauld G R, Salter S J. The effect of pore-structure on hysteresis in  relative  permeability  and  capillary  pressure:  Pore-level modeling. Transp Porous Media, 1990, 5（2）: 103 [40] McDougall  S  R,  Sorbie  K  S.  The  impact  of  wettability  on waterflooding:  Pore-scale  simulation. SPE Reserv Eng,  1995, 10（3）: 208 [41] Wang  C,  Nguyen  N  T,  Wong  T  N,  et  al.  Investigation  of  active interface  control  of  pressure  driven  two-fluid  flow  in microchannels. Sens Actuators A, 2007, 133（2）: 323 [42] Datta  S  S,  Ramakrishnan  T  S,  Weitz  D  A.  Mobilization  of  a trapped  non-wetting  fluid  from  a  three-dimensional  porous medium. Phys Fluids, 2014, 26（2）: 022002 [43] Arif  M,  Mahmoud  M,  Zhang  Y  H,  et  al.  X-ray  tomography imaging  of  shale  microstructures:  A  review  in  the  context  of multiscale correlative imaging. Int J Coal Geol, 2021, 233: 103641 [44] Deng  Q  J. Microscale Occurence and Recovery Mechanism of Remaining Oil in Sazhong Area at Extra-High Water Cut Stage of Daqing Field [Dissertation].  Daqing:  Northeast  Petroleum University, 2015 （ 邓庆军. 大庆油田萨中开发区特高含水期微观剩余油成因及 动用机制研究[学位论文]. 大庆: 东北石油大学, 2015） [45] Xiong  Q  R,  Baychev  T  G,  Jivkov  A  P.  Review  of  pore  network modelling  of  porous  media:  Experimental  characterisations, network  constructions  and  applications  to  reactive  transport. J Contam Hydrol, 2016, 192: 101 [46] Fatt  I.  The  network  model  of  porous  media. Trans AIME,  1956, 207（1）: 144 [47] Dullien F A L, Lai F S Y, MacDonald I F. Hydraulic continuity of residual  wetting  phase  in  porous  media. J Colloid Interface Sci, 1986, 109（1）: 201 [48] Zhang  X  L,  Shi  Y  T,  Kuang  S  Y,  et  al.  Microscale  effects  of Bingham-plastic liquid behavior considering electroviscous effects in  nano-  or  microsized  circular  tubes. Phys Fluids,  2019,  31（2）: 022001 [49] Zhang X L, Kuang S Y, Shi Y T, et al. Research progress on the nonlinear  seepage  characteristics  of  tight  oil  in  nano-micron porous media. China Offshore Oil Gas, 2019, 31（4）: 102 （张雪龄, 邝颂雅, 师渝滔, 等. 致密油纳微米孔隙介质非线性渗 流特性研究进展. 中国海上油气, 2019, 31（4）：102） [50] Xie C Y, Xu K, Mohanty K, et al. Nonwetting droplet oscillation and  displacement  by  viscoelastic  fluids. Phys Rev Fluids,  2020, 5（6）: 063301 [51] Wang J X, Wu X D, Yang P H, et al. Calculating the imbibition relative permeability of a gas-liquid system by pore scale network model. Nat Gas Ind, 2003, 23（3）: 8 （王金勋, 吴晓东, 杨普华, 等. 孔隙网络模型法计算气液体系吸 吮过程相对渗透率. 天然气工业, 2003, 23（3）：8） [52] Han  Q,  Qu  Z,  Ye  Z  Y.  Research  status  of  shale  multi-scale mechanical properties. Chin J Appl Mech, 2018, 35（3）: 564 （韩强, 屈展, 叶正寅. 页岩多尺度力学特性研究现状. 应用力学 学报, 2018, 35（3）：564） [53] Ma  Y  J,  Wang  R  F.  Non-linear  seepage  models  for  sandstone reservoirs of ultra-low permeability and shallow layers. Gas Field, 2017, 24（4）: 514 （马勇军, 王瑞飞. 超低渗浅层砂岩油藏储层非线性渗流模型. 断块油气田, 2017, 24（4）：514） [54] [55] Ma Q Z, Yang S L, Wang J R, et al. Non-linear seepage model of · 10 · 工程科学学报，第 44 卷，第 X 期