高慧梅,姜汉桥,陈民锋
GAO Hui-mei1,JIANG Han-qiao2,CHEN Min-feng2 (1.Oil and Gas Engineering Institute of China University of Petroleum

• 1:中国石油大学石油天然气工程学院
• 2:中国石油大学提高采收率研究中心
• 3:中国石油大学提高采收率研究中心 北京102249
• 4:北京102249

摘要(Abstract)：

孔隙网络模型广泛应用于多孔介质的微观模拟中,已经可以较好地实现对渗流参数的定量预测,并用来描述微观渗流过程。首先对孔隙网络模型建立方法和孔隙空间描述作了扼要介绍,总结了准静态和动态两类孔隙网络模型的特征及应用范围,然后着重论述了孔隙网络模型的应用情况及研究较活跃的几个方面,最后对其发展趋势进行了展望。
Pore network model is widely applied in microscopic simulation of porous media.Flow parameter is quantitatively predicted and microscopic flow process is described.This paper introduces construction method of pore network model and pore space describing,summarizes characters and application range of two types of pore network model,including quasi-static and dynamic,discusses application of pore network model and finally analyzes its development prospect.

关键词(KeyWords)： 孔隙网络模型;微观渗流;多相渗流;孔隙结构
pore network model;microscopic flow;multiphase flow;pore structure

Abstract:

Keywords:

基金项目(Foundation): 中国青年创新基金(编号为04E7029)

作者(Author): 高慧梅,姜汉桥,陈民锋
GAO Hui-mei1,JIANG Han-qiao2,CHEN Min-feng2 (1.Oil and Gas Engineering Institute of China University of Petroleum

参考文献(References)：

• [1]Fatt I.The network model of porous media I.Capillary pressure charac-teristics[J].Trans AIME,1956.144-159.
• [2]Dullien F A,Francis S,Kai Y.Hydraulic continuity of residual wet-ting phase in porous media[J].Colloid and interface science,1991.210-218.
• [3]Dullien F A,Zarcone I F,Macdonald A C.The effects of surface-roughness on the capillary-pressure curves and the heights of capillaryrise in glass bead packs[J].Journal of Colloid and Interface Sci-ence,1989.362-372.
• [4]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[J].天然气工业,2003,23(2):8-11.WANG Jin-xun,WUXiao-dong,YANG Pu-hua,et al.Calculate rela-tive permeability in the process of gas-liquid system suck using porenetwork model method[J].Natural Gas Industry,2003,23(2):8-11.
• [5]吴晓东,潘新伟,王金勋,等.气藏水束缚堵塞规律的研究[J].石油大学学报,2005,29(1):41-43.WUXiao-dong,PAN Xin-wei,WANG Jin-xun,et al.Study on plug-ging rules of water restrain in gas reservoir[J].Journal of China Uni-versity of Petroleum,2005,29(1):41-43.
• [6]胡雪涛,李允.随机网络模拟研究微观剩余油分布[J].石油学报,2000,21(4):46-51.HU Xue-tao,LI Yun.Study on micro-remaining oil distribution withrandom network simulation[J].Acta Petrolei Sinica,2000,21(4):46-51.
• [7]侯健,李振泉,关继腾,等.基于三维网络模型的水驱油微观渗流机理研究[J].力学学报,2005,37(6):783-787.HOUJian,LI Zhen-quan,GUAN Ji-teng,et al.Study on micro-flowmechanism of water displacing oil based on 3D network model[J].Journal of Mechanics,2005,37(6):783-787.
• [8]Jerauld G R,Salter S J.The effect of pore-structure on hysteresis inrelative permeability and capillary pressure:Pore level modeling[J].Transport in Porous Media,1990.103-151.
• [9]Koplik J,Redner S,Wilkinson D.Transport and dispersion in randomnetworks with percolation disorde[J].Physical Review A,1988,37(7):2619-2636.
• [10]Bryant S,Blunt MJ.Prediction of relative permeability in simple por-ous media[J].Physical Review A,1992.2004-2011.
• [11]Mcdougal S R,Sorbie K S.The impact of wettability on waterfloodingpore-scale simulation[J].SPE Reservoir Engineering,1995.208-213.
• [12]Wilkinson D,Willemsen J F.Invasion Percolation-a New Form ofPercolation Theory[J].Journal of Physics A:Mathematical andGeneral,1983.3365-3376.
• [13]Al-Raoush R,Thompson K E,Willson C S.Comparison of networkgeneration techniques for unconsolidated porous media systems[J].Soil Science Society of America Journal,2003.1687-1700.
• [14]Fischer U,Celia M.Prediction of relative and absolute permeabilitesfor gas and water retention curves using a pore-scale network model[J].Water Resources Research,1999,35(4):1089-1100.
• [15]Vogel HJ,Roth K.A newapproach for determining effective soil hy-draulic functions[J].European Journal of Soil Science,1997,49(4):547-556.
• [16]Rintoul MD,Torquato S,Yeong C.Structure and transport proper-ties of a porous magneticgel via x-ray microtomography[J].PhysicalReview E,1996.2663-2669.
• [17]Bakke S,Φren P E.3-d pore-scale modeling of sandstones and flowsimulations in the pore networks[J].Society of PetroleumEngineersJournal,1997.136-149.
• [18]Okabe H,Blunt MJ.Multiple-point statistics to generate geologicallyrealistic pore-scale representations[C].Proceedings of the society ofcore analysts annual meeting,2003.22-25.
• [19]Lenormand R,Zarcone C,Sarr A.Mechanisms of the displacementof one fluid by another in a network of capillary ducts[J].Journalof Fluid Mechanics,1983.337-353.
• [20]Mason G,Morrow N R.Capillary behavior of a perfectly wetting liq-uid in irregular triangular tubes[J].J.of Colloid and Interface Sci-ence,1991,141(1):262-274.
• [21]Berkowitz B,Balberg I.Percolation theory and its application togroundwater hydrology[J].Water Resource Research,1993,29(4):775-794.
• [22]Hollewand MP,Gladden L F.Modeling of diffusion and reaction inporous catalysts using a random three-dimensional network model[J].Chemical Engineering Science,1992,47(7):1761-1790.
• [23]Pyraknolte L J,Helgeson D,Haley G M.Immiscible Fluid Flow in aFracture.Rock Mechanics[M].Balkema Rotterdam Netherlands,1st edition.1992:1-10.
• [24]Nowicki S C,Davis H T,Scriven L E.Microscopic determination oftransport parameters in drying porous media[J].Drying Technol.,1992,10(4):925-946.
• [25]Laidlaw W G,Wilson W G,Coombe D A.A lattice model of foamflowin porous media:Apercolation approach[J].Transport in Por-ous Media,1993.139-159.
• [26]Ioannidis MA,Chatzis I,Sudicky E S.Amixed-percolation model ofcapillary hysteresis and entrapment in mercury porosimetry[J].Jour-nal of Colloid and Interface Science,1993.278-291.
• [27]Mohanty K K,Davis H T,Scriven L E.Physics of Oil Entrapmentin Water-wet Rock[J].SPE Reservoir Engineering,1987,2(1):113-128.
• [28]Blunt M,King P.Relative permeabilities from two and three-dimen-sional pore-scale network modeling[J].Transport in Porous Media,1991.407-433.
• [29]李振泉,侯健,曹绪龙,等.储层微观参数对剩余油分布影响的微观模拟研究[J].石油学报,2005,26(6):69-73.LI Zhen-quan,HOU Jian,CAO Xu-long,et al,Micro-simulationstudy on effect of reservoir micro-parameters on remaining oil distribu-tion[J].Acta Petrolei Sinica,2005,26(6):69-73.
• [30]Reeves P C,Celia M A.A functional relationship between capillarypressure,saturation,and interfacial areas as revealed by a pore-scalenetwork model[J].Water Resources Research,1996,32(8):2345-2358.
• [31]Mohanty K K,Salter S J.Multiphase flow in porous mediaⅢ:Oilmobilization,transverse dispersion and wettability[C].Proceedingsof the 58th Annual Fall Technical Conference and Exhibition,SPE12127,San Francisco,CA.1983.
• [32]Kovscek AR,Wong H,Radke C J.Pore-level scenario for the devel-opment of mixed wettability in oil reservoirs[J].AIChE Journal,1993,39(6):1072-1085.
• [33]Heiba A A,Davls HT.Statistical network theory of three Phase rela-tive Permeability[R].SPE 12690,1984:121-135.
• [34]Φren.Pore-Scale Network Modeling of Water residual oil recovery bylmmiscible Gas Flooding[R].SPE 27814,1994:345-359.
• [35]Mohammad P.Pore-Scale Modeling of Three-Phase Flow[D]:PHDthesis.Department of Earth Science and Engineering,Imperial Col-lege,London,2003.
• [36]Pearson J R,Tardy P M.Models for flow of non-newtonian and com-plex fluids through porous media[J].Journal of Non-NewtonianFluid Mechanics,2002.447-473.
• [37]Sorbie K S,Clifford,P J,Jones E R.The rheology of pseudoplasticfluids in porous media using network modeling[J].Journal ofColloid and Interface Science,1989,130(2):508-534.
• [38]Xavier L,Martin J B.Predicting the Impact of Non-Newtonian Rheol-ogy on Relative Permeability Using Pore-Scale Modeling[R].SPE89981,2004:1-8.
• [39]Siqueira A G,Petrobras S A.A3D Network Model of Rock Permea-bility Impairment Due to Suspended Particles in Injection Water[R].SPE82232,1990.