Flow in porous media — pore-network models and multiphase flow

Fatt, 1956, The network model of porous media I. Capillary pressure characteristics, Trans AIME, 207, 144, 10.2118/574-G

Fatt, 1956, The network model of porous media II. Dynamic properties of a single size tube network, Trans AIME, 207, 160

Fatt, 1956, The network model of porous media III. Dynamic properties of networks with tube radius distribution, Trans AIME, 207, 164

Koplik, 1982, Creeping flow in two-dimensional networks, J Fluid Mech, 119, 219, 10.1017/S0022112082001323

Wilkinson, 1983, Invasion percolation: a new form of percolation theory, J Phys A, 16, 3365, 10.1088/0305-4470/16/14/028

Heiba, 1992, Percolation theory of two-phase relative permeability, SPE Reservoir Eng, 7, 123, 10.2118/11015-PA

Lenormand, 1983, Mechanisms of the displacement of one fluid by another in a network of capillary ducts, J Fluid Mech, 135, 337, 10.1017/S0022112083003110

Jerauld, 1990, Effect of pore-structure on hysteresis in relative permeability and capillary pressure: pore-level modeling, Transp Porous Media, 5, 103, 10.1007/BF00144600

Bryant, 1993, Network model evaluation of permeability and spatial correlation in a real random sphere packing, Transp Porous Media, 11, 53, 10.1007/BF00614635

Bryant, 1992, Prediction of relative permeability in simple porous media, Phys Rev A, 46, 2004, 10.1103/PhysRevA.46.2004

Øren, 1998, Extending predictive capabilities to network models, SPE J, 3, 324, 10.2118/52052-PA

Lerdahl, 2000, A predictive network model for three-phase flow in porous media. SPE 59311, 2

Man, 2000, Pore network modelling of electrical resistivity and capillary pressure characteristics, Transp Porous Media, 41, 263, 10.1023/A:1006612100346

Man, 1999, Network modelling of wettability and pore geometry effects on electrical resistivity and capillary pressure, J Petroleum Sci Eng, 24, 255, 10.1016/S0920-4105(99)00047-9

Man, 2001, Network modeling of strong and intermediate wettability on electrical resistivity and capillary pressure, Adv Water Resour, 24, 345, 10.1016/S0309-1708(00)00061-0

Mani, 1998, Pore-level network modeling of three-phase capillary pressure and relative permeability curves, SPE J, 3, 238, 10.2118/50942-PA

Kagan, 2000, Menisci in a diamond-shaped capillary, J Colloid Interface Sci, 230, 452, 10.1006/jcis.2000.7077

Tsakiroglou, 1999, Pore network analysis of resistivity index for water-wet porous media, Transp Porous Media, 35, 89, 10.1023/A:1006586409963

Tsakiroglou, 1999, Resistivity index of fractional wettability porous media, J Petroleum Sci Eng, 22, 253, 10.1016/S0920-4105(98)00085-0

Tsakiroglou, 2000, Characterization of the pore structure of reservoir rocks with the aid of serial sectioning analysis, mercury porosimetry and network simulation, Adv Water Resour, 23, 773, 10.1016/S0309-1708(00)00002-6

Fenwick, 1998, Three-dimensional modeling of three-phase imbibition and drainage, Adv Water Resour, 25, 121, 10.1016/S0309-1708(96)00037-1

Fenwick, 1998, Network modeling of three-phase flow in porous media, SPE J, 3, 86, 10.2118/38881-PA

Blunt, 1998, Physically-based network modeling of multiphase flow in intermediate-wet porous media, J Petroleum Sci Eng, 20, 117, 10.1016/S0920-4105(98)00010-2

Zhou, 2000, A physically based model of dissolution of nonaqueous phase liquids in the saturated zone, Transp Porous Media, 39, 227, 10.1023/A:1006693126316

Dillard, 2000, Development of a pore network simulation model to study nonaqueous phase liquid dissolution, Water Resour Res, 36, 439, 10.1029/1999WR900301

Hui, 2000, Effects of wettability on three-phase flow in porous media, J Phys Chem B, 104, 3833, 10.1021/jp9933222

Hui, 2000, Pore-scale modeling of three-phase flow and the effects of wettability. SPE 59309

Hughes, 2000, Pore scale modeling of rate effects in imbibition, Transp Porous Media, 40, 295, 10.1023/A:1006629019153

Hughes, 1999, Pore-scale modeling of multiphase flow in fractures and matrix/fracture transfer. SPE 56411

Hughes, 2001, Network modeling of multiphase flow in fractures, Adv Water Resour, 24, 409, 10.1016/S0309-1708(00)00064-6

Ronen, 2000, Field observations of a capillary fringe before and after a rainy season, J Contam Hydrol, 44, 103, 10.1016/S0169-7722(00)00096-6

Wang, 2000, Pore-network model of flow in gas-condensate reservoirs, SPE J, 5, 426, 10.2118/67857-PA

Wang, 1999, Critical condensate saturation in porous media, J Colloid Interface Sci, 214, 416, 10.1006/jcis.1999.6223

Tuller, 1999, Adsorption and capillary condensation in porous media: liquid retention and interfacial configurations in angular pores, Water Resour Res, 35, 1949, 10.1029/1999WR900098

Or, 1999, Liquid retention and interfacial area in variably saturated porous media: upscaling from single-pore to sample-scale model, Water Resour Res, 35, 3597, 10.1029/1999WR900262

Or, 2000, Flow in unsaturated fractured porous media: hydraulic conductivity of rough surfaces, Water Resour Res, 36, 1165, 10.1029/2000WR900020

Patzek, 2000, Verification of a complete pore network simulator of drainage and imbibition. SPE 59312

Dixit, 1998, A pore-level investigation of relative-permeability hysteresis in water-wet systems, SPE J, 3, 115, 10.2118/37233-PA

Dixit, 1999, Pore-scale modeling of wettability effects and their influence on oil recovery, SPE Reservoir Eval Eng, 2, 25, 10.2118/54454-PA

Dixit, 2000, Empirical measures of wettability in porous media and the relationship between them derived from pore-scale modeling, Transp Porous Media, 40, 27, 10.1023/A:1006687829177

Fischer, 1999, Prediction of relative and absolute permeabilities for gas and water from soil water retention curves using a pore-scale network model, Water Resour Res, 35, 1089, 10.1029/1998WR900048

Øren PE, Bakke S. Process based reconstruction of sandstones and prediction of transport properties, Transp Porous Media 2001; in press. •Described a reconstruction algorithm for deriving a three-dimensional network model from thin section analysis. The resulting models made good predictions of absolute and relative permeability.

Pillotti, 2000, Reconstruction of clastic porous media, Transp Porous Media, 41, 359, 10.1023/A:1006696301805

Liang, 1999, Prediction of permeability from the skeleton of three-dimensional pore structure, SPE Reservoir Eval Eng, 2, 161, 10.2118/56006-PA

Masad, 2000, Simulation of fluid flow and permeability in cohesionless soils, Water Resour Res, 36, 851, 10.1029/1999WR900348

Hilpert, 2001, Pore-morphology-based simulation of drainage in totally wetting porous media, Adv Water Resour, 24, 243, 10.1016/S0309-1708(00)00056-7

Vogel, 2001, Quantitative morphology and network representation of soil pore structure, Adv Water Resour, 24, 233, 10.1016/S0309-1708(00)00055-5

Xu, 1999, Use of pore-network models to simulate laboratory corefloods in a heterogeneous carbonate sample, SPE J, 4, 179, 10.2118/57664-PA

Kamath, 1998, Use of pore network models to interpret laboratory experiments on vugular rocks, J Petroleum Sci Eng, 20, 109, 10.1016/S0920-4105(98)00009-6

Hilpert, 2000, Investigation of the residual-funicular nonwetting-phase-saturation relation, Adv Water Resour, 24, 157, 10.1016/S0309-1708(00)00035-X

Paterson, 1998, Simulating residual saturation and relative permeability in heterogeneous formations, SPE J, 3, 211, 10.2118/50938-PA

Mani, 1999, Effect of pore-space spatial correlations on two-phase flow in porous media, J Petroleum Sci Eng, 23, 173, 10.1016/S0920-4105(99)00015-7

Knackstedt, 2001, Pore network modelling of two-phase flow in porous rock: the effect of correlated heterogeneity, Adv Water Resour, 24, 257, 10.1016/S0309-1708(00)00057-9

Buckley, 1998, Mechanisms of wetting alteration by crude oils, SPE J, 3, 54, 10.2118/37230-PA

Kovscek, 1993, A pore-level scenario for the development of mixed wettability in oil reservoirs, Am Inst Chem Eng J, 39, 1072, 10.1002/aic.690390616

Dixit, 1998, Analysis of relative permeability hysteresis trends in mixed-wet porous media using network models

van Dijke, 2000, A process-based approach for three-phase capillary pressure and relative permeability relationships in mixed-wet systems, SPE 59310

Larouche, 1999, Network modeling as a tool to predict three-phase gas injection in heterogeneous wettability porous media, J Petroleum Sci Eng, 24, 155, 10.1016/S0920-4105(99)00039-X

Larouche, 1999, Network modeling to predict the effects of wettability heterogeneities on multiphase flow, SPE 56674

van Kats, 1999, Simulation of three-phase displacement mechanisms using a 2D lattice–Boltzmann model, Transp Porous Media, 37, 55, 10.1023/A:1006502831641

van Dijke, 2001, Saturation-dependencies of three-phase relative permeabilities in mixed-wet and fractionally-wet system, Adv Water Resour, 24, 365, 10.1016/S0309-1708(00)00062-2

Sohrabi, 2000, Visualisation of oil recovery by water alternating gas (WAG) injection using high pressure micromodels-water-wet system. SPE 63000

Larsen, 1998, Three-phase immiscible WAG injection: micromodel experiments and network models, SPE 59324

Zhou, 1997, Effect of spreading coefficient on the distribution of light non-aqueous phase liquid in the subsurface, J Contam Hydrol, 25, 1, 10.1016/S0169-7722(96)00025-3

DiCarlo, 2000, Effect of wettability on three-phase relative permeability, Transp Porous Media, 39, 347, 10.1023/A:1006653323374

DiCarlo, 2000, Three-phase relative permeability of water-wet, oil-wet and mixed-wet sandpacks, SPE J, 5, 82, 10.2118/60767-PA

Moulu, 1999, A new three-phase relative permeability model for various wettability conditions. SPE 56477, 3

Firincioglu, 1999, Three-phase flow and wettability effects in triangular capillaries, Colloids Surf A, 155, 259, 10.1016/S0927-7757(99)00039-4

Jia, 1999, Visualization and simulation of NAPL solubilization in pore networks, J Contam Hydrol, 35, 363, 10.1016/S0169-7722(98)00102-8

Jia, 1999, Advective mass transfer from stationary sources in porous media, Water Resour Res, 35, 3239, 10.1029/1999WR900201

Held RJ, Celia MA. Pore-scale modeling and up-scaling of nonaqueous phase liquid mass transfer, Water Resour Res 2001; in press. ••Used network modeling to simulate mass transfer. The fluid-fluid interfaces were explicitly tracked as the oil dissolves. Stagnant-layer diffusion was used to describe the interface mass transfer. The results are compared with those from column experiments.

Ahmadi, 2001, Calculation of the effective properties describing active dispersion in porous media: from simple to complex unit cells, Adv Water Resour, 24, 423, 10.1016/S0309-1708(00)00065-8

Held, 2001, Modeling support of functional relationships between capillary pressure, interfacial areas and common lines, Adv Water Resour, 24, 325, 10.1016/S0309-1708(00)00060-9

Yiotsis, 2001, A 2D pore-network model of the drying of single-component liquids in porous media, Adv Water Resour, 24, 439, 10.1016/S0309-1708(00)00066-X

Bora, 2000, Flow visualization studies of solution gas drive process in heavy oil reservoirs with a glass micromodel, SPE Reservoir Eval Eng, 3, 224, 10.2118/64226-PA

Du, 1999, A numerical study of the critical gas saturation in a porous medium, Transport Porous Media, 35, 205, 10.1023/A:1006582222356

Jamiolahmady, 2000, A mechanistic model of gas-condensate flow in pores, Transp Porous Media, 40, 17, 10.1023/A:1006645515791

Carmeliet, 1999, A multiscale network model for simulating moisture transfer properties of porous media, Transp Porous Media, 35, 67, 10.1023/A:1006500716417

Freitas, 2000, Pore network simulation of evaporation of a binary liquid from a capillary porous medium, Transp Porous Media, 40, 1, 10.1023/A:1006651524722

Aker, 1998, A two-dimensional network simulator for two-phase flow in porous media, Transp Porous Media, 32, 163, 10.1023/A:1006510106194

Mogensen, 1998, A dynamic two-phase pore-scale model of imbibition, Transp Porous Media, 32, 299, 10.1023/A:1006578721129

Mogensen, 1998, A dynamic pore-scale model of imbibition. SPE 39658, 19

Constantinides, 2000, Effects of precursor wetting films in immiscible displacement through porous media, Transp Porous Media, 38, 291, 10.1023/A:1006557114996

Mogensen, 1999, Comparison of iterative methods for computing the pressure field in a dynamic network model, Transp Porous Media, 37, 277, 10.1023/A:1006642203767

Valavanides, 2001, True-to-mechanism model of steady-state two-phase flow in porous media, using decomposition into prototype flows, Adv Water Resour, 24, 385, 10.1016/S0309-1708(00)00063-4

Keller, 2000, Behavior of nonaqueous phase liquids in fractured porous media, Transp Porous Media, 38, 189, 10.1023/A:1006619402305

Glass, 1998, A modified invasion percolation model for low-capillary number immiscible displacements in horizontal rough-walled fractures: influence of local in-plane curvature, Water Resour Res, 34, 3215, 10.1029/98WR02224

Amundsen, 1999, Slow two-phase flow in artificial fractures: experiments and simulations, Water Resour Res, 35, 2619, 10.1029/1999WR900147

Kharabaf, 1998, Pore network model for foam formation and propagation in porous media, SPE J, 3, 42, 10.2118/36663-PA

Al-Sharji, 1999, Pore-scale study of the flow of oil and water through polymer gels, SPE 56738

Suchomel, 1998, Macroscale properties of porous media from a network model of biofilm effects processes, Transp Porous Media, 31, 39, 10.1023/A:1006506104835

Thauvin, 1998, Network modeling of non-Darcy flow through porous media, Transp Porous Media, 31, 19, 10.1023/A:1006558926606

Zhang, 2000, The spreading of immiscible fluids in porous media under the influence of gravity, Transp Porous Media, 38, 117, 10.1023/A:1006663217326

Ewing, 1998, A generalized growth model for simulating initial migration of dense non-aqueous phase liquids, Water Resour Res, 34, 611, 10.1029/97WR03754

Ewing, 2001, Stochastic pore-scale growth models of DNAPL migration in porous media, Adv Water Resour, 24, 309, 10.1016/S0309-1708(00)00059-2

Leventis, 2000, Capillary imbibition and pore characteristics in cement pastes, Transp Porous Media, 39, 143, 10.1023/A:1006687114424

Stark, 2000, The motion of long bubbles in a network of tubes, Transp Porous Media, 40, 201, 10.1023/A:1006697532629

Friedman, 1998, Critical path analysis of the relationship between permeability and electrical conductivity of three-dimensional pore networks, Water Resour Res, 34, 1703, 10.1029/98WR00939

Hunt, 2001, Applications of percolation theory to porous media with distributed local conductances, Adv Water Resour, 24, 279, 10.1016/S0309-1708(00)00058-0

Sahimi, 2000, The effect of asphalt precipitation on flow behavior and production of a fractured carbonate oil reservoir during gas injection, Transp Porous Media, 41, 325, 10.1023/A:1006759524127