Fundamentals of Fluid Flow in Porous Media
Three Phase Relative Permeability:Bibliography
Aguilera, R.. Relative Permeability Concepts for Predicting the Performance of Naturally Fractured
Reservoirs. JCan PetT,.22,41, (1982)
Amaefule, J.O. and Handy, L.I., The Effect oflnterfacial Tensions on Relative Oil/Water Permeabilities of Consolidated Porous Media. Soc Pet E J, 371, (1982)
Bardon, C. and Longeron, D., Influence of Very Low Interfacial Tensions on Relative Permeability. Soc Pet EJ, 20, 391,(1980)
Batycky, J.P., Mirkin, M.I., Besserer, G.J., Jackson, C.H., Miscible and Immiscible Displacement Studies on Carbonate Reservoir Cores. JCanPetT,2L, 104,(1981A)
Batycky, J.P., McCaffery, F.G., Hodgins, P.K., Fisher, D.B., Interpreting Relative Permeability and
Wettability from Unsteady-State Displacement Measurements. Soc Pet E J, 21, 296, (198IB)
Bemsten, R.G., Using Parameter Estimation Techniques to Convert Centrifuge Data into a Capillary
Pressure Curve. SPE paper 5026 presented at the SPE-AIME 49th Annual Meeting, Houston, Texas, (Oct. 6-9 1974)
Broadbent, S.R. and Hammersley, J.M., Percolation Processes: 1. Crystals and Mazes. Camb Phil Soc, 53, (3), 629,(1957)
Burden, R.L-, Faires, J.D., Reynolds, A.C…Numerical Analysis. Second Edition, Prindle, Weber and
Casulli, V. and Greenspan, D., Numerical Simulation of Miscible and Immiscible Fluid Flows in Porous Media. Soc Pet EJ, 20, 635, (1980)
Chandler, R., Koplik, J., Lerman, K., Willemsen, J.F., Capillary displacement and Percolation in Porous Media. J Fluid Mec, .119. 249, (1982)
Chatzis, I., Dullien, F.A.L., Mercury Porosimetrv Curves of Sandstones. Mechanisms of Mercury Penetration and Withdrawal. Powd Tech, 29,117, (1981)
Chatzis, I., Morrow, N.R., Lim, H., Magnitude and Detailed Structure of Residual Oil Saturation. SPE paper No. 10681 presented at the 1982 SPE/DOE Third Joint Symposium of Enhanced Oil Recovery of the Soc. ofPetr. Engineers held in Tulsa, OK, (April 4-7 1992)
Chatzis, I., Dullien, F.A.L., Mise en Oeuvre de la Theorie de la Percolation Pour Modeliser Ie Drainage des Millieux Poreux et la Permeabilite Relative au Liquide non Mouillant Injecte. Revue de L’lnstitut Francais du Petrole 37, 183, (Mars-Avril, 1982)
Chatzis, I., Dullien, F.A.L., Modelling Pore Structure by 2-D and 3-D Networks with Application to Sandstones. Pet. Soc. ofCIM paper No 7607 presented at the 27th Annual Technical Meeting of the Pet. Soc. ofCIM, Calgary, (June 7-11 1976B)
Chatzis, I., Morrow, N.R., Correlation of Capillary Number Relationships for Sandstones. Soc Pet E J, 24, (Nov. 1984)
Chatzis, I., A Critical Study of the Applicability of 2-D and 3-D Networks of Capillary Tubes to Simulate the Drainage Capillary Pressure Curve of Sandstones. M.A.Sc. Thesis, University of Waterloo, (1976)
Chatzis, I., A Network Approach to Analyse and Model Capillary and Transport Phenomena in Porous Media. Ph. D. Thesis, University of Waterloo, (1980)
Chatzis, I., Dullien, F.A.L., A Network Approach to Analyse and Model Capillary and Transport Phenomena in Porous Media. Presented at Symposium sur les effets D’echelle en Millieux Poreux, Thessaloniki, Greece, (Aug.-Sept. 1978)
Chatzis, I., Dullien, F.A.L., Dynamic Immiscible Displacement Mechanisms in Pore Doublets: Theory Versus Experiment. J Coll I Sc, 91, 1, (1983)
Chatzis, I., Visualization of Oil Displacement Mechanisms and Enhanced Oil Recovery. Proceedings of the 27th annual conference of the Ont. Petr. Institute held in London Ont., (Oct. 1983).
Coats, K.H. and Smith, B.D., Dead End Pore Volume and Dispersion in Porous Media. Soc Pet E J, 4, 73, (1964).
Core Laboratories Inc., A Course in the Fundamentals of Core Analysis.
Da Prat, G., Ramey, Jr. H.J., Cinco-Ley, H.. A Method to Determine the Permeability-Thickness Product for a Naturally Fractured Reservoir. J P T, .34, 1364, (1982)
Diaz, C.E., Simulation of Fluid Distributions and Oil-Water Capillary Pressure Curves in Water Wet Porous Media Using Network Modeling Techniques. M. A. Sc. Thesis, University of Waterloo, (1984).
Dodds, J.A., The Pore Size Distribution and Dewatering Characteristics of Packed Beds and Filter Cakes. Ph. D. Thesis, Loughborough University of Technology (1968).
Downie, J.and Crane, F.E., Effect of Viscosity on Relative Permeability. Soc Pet E J, i, (2), 59, (1961)
Dullien, F.A.L-, Chatzis,I., and El-Sayed, M.S., Modelling of Transport Phenomena in Porous Media by Networks Consisting of Non-Uniform Capillaries. Presented at the 57th Annual Fall Technical
Conference and Exhibition of The Society of Petroleum Engineers of AIME, New Orleans, (Oct. 3-6, 1976).
Dullien, F.A.L., Wood’s Metal Porosimetrv and its Relation to Mercury Porosimetry. Powd Tech, 29,109, (1981)
Dullien, F.A.L., Porous Media: Fluid Transport and Pore Structure. Academic Press, (1979)
Fatt, I., The Network Model of Porous Media I. capillary Pressure Characteristics. Pet. Trans., AIME, 207 114, (1956A)
Fatt, I., The Network Model of Porous Media II. Dynamic Properties of a Single Size Tube Network. Pet. Trans., AIME, 207 160, (1956B)
Fatt, I., The Network Model of Porous Media III. Dynamic Properties of Networks with Tube Radius Distribution. Pet. Trans., AIME, 207. 164, (1956C)
Freeman, D.L. and Bush, D.C., Low Permeability Laboratory Measurements by Non-Steady State and Conventional Methods. Soc Pet E J, 23, 928, (1983)
Geffen, T.M., Owens, W.W-, Parrish, D.R., Morse, R.A., Experimental Investigation of Factors Affecting Laboratory Relative Permeability Measurements. Pet. Trans., AIME, j92, 99, (1951)
George, A., Liu, J. W-H, Computer Solution of Large Sparse Positive Definite Systems. Prentice Hall, (1981)
Gilman, J.R. and Kasemi, H. Improvements in Simulation of Naturally Fractured Reservoirs. Soc Pet E J, 23,695,(1983)
Gladwell, G.M.L-, Mansour, W.M-, Matrices and linear equations. University of Waterloo, (1970)
Greenkom, R.A. Steady Flow Through Porous Media. AICHEJ, 27, (4), 529, (1981)
Hagoort, J.. Oil Recovery bv Gravity Drainage. Soc Pet E J, 20, 139, (1980)
Haring, R.E. and Greencom, R.A. A Statistical Model of a Porous Medium with Nonuniform Pores. AICHEJ, 16, (3), 447, (1970)
Heiba, A.A., Davis, H.T. and Scriven, L.E., Statistical Network Theory of Three-Phase Relative Permeabilities. SPE paper No 12690 presented at the SPE/DOE Fourth Symposium of Enhanced Oil Recovery held in Tulsa OK, (April 15-18,1984)
Heiba, A.A., Sahimi, M., Scriven, L.E., Davis, H.T., Percolation Theory of Two Phase Relative Permeability. SPE paper No 11015, presented at the 57th. Annual Fall Technical Conference of SPE-AIME, New Orleans, (Sept. 26-29, 1982)
Honarpour, M., Koederitz, L.F., Harvey, H.A.I, Empirical Equations for Estimating Relative Permeability in Consolidated Rock. JPT, 34, 2905, (1982)
Hoshen, J., Kopelman, R., Percolation and Cluster Distribution I. Cluster Multiple Labelling Technique and Critical Concentration Algorithm. Phys Rev B., .14, 8, 3438, (1977)
Jha, K.N., Enhanced Oil Recovery – An Introduction. Chem Can, (Sept. 1982).
Johnson, E.F., Bossier, D.P., Naumann, V.O., Calculation of Relative Permeability from Displacement
Experiments. Pet. Trans., AIME, 216, 370, (1959)
Jones, P.O. and Owens, W.W., A Laboratory Study of Low-Permeability Gas Sands. JPT. 32. 1631.
Jones, S.C. and Roszelle, W.O., Graphical Techniques for Determining Relative Permeability from
Displacement Experiments. J P T, 31, 807, (1979)
Kantzas, A., Computer Simulation of Relative Permeability Properties of Porous Media. M.A.SC. Thesis, University of Waterloo, (1985)
Kassemi, H., Low Permeability Gas Sands. J P T, 34, 2229, (1982)
Keelan, D.K., A Practical Approach to Determination of Imbibition Gas-Water Relative Permeability. J P T,28, 199,(1976)
Keighin, C.W. and Sampath, K., Evaluation of Pore Geometry of Some Low-Permeability Sandstones-Unita Basin. J P T, 34, 65, (1982)
Kirkpatrick, S., Percolation and Conduction. Rev M Phys, 45, (4), 574, (1973)
Koplik, J. and Lasseter T.J., Two-Phase Flow in Random Network Models of Porous Media. Society of Petroleum Engineers paper No. 11014.
Koplik, J., Creeping Flow in Two-Dimensional Networks. J Fluid Mec, 119,219, (1982).
Lai, F.S.Y., Reduction of the So Called ‘Irreducible’ Wetting Phase Saturation – A Study Using Water- Wet and Oil-Wet Transparent Micromodels and Sandstone Samples. Ph. D. Thesis, University of Waterloo, (1984).
Larson, R.G., Percolation in Porous Media with Application to Enhanced Oil Recovery. M.S. Thesis, University of Minnesota (1977)
Larson, R.G., Scriven, L.E. and Davis, H.T., Percolation Theory of Two Phase Flow in Porous Media. Chem Engng Sci, 36, 57, (1981)
Larson, R.B. and Morrow, N.R., Effects of Sample Size on Capillary Pressures in Porous Media. Powd Tech,30,lZ3,(1981).
Larson, R.G., Scriven, L.E. and Davis, H.T., Displacement of Residual Non-Wetting Fluid From Porous Media. Chem Engng Sci, 36, 75, (1981).
Lenormand, R., Zarcone, C. and Sarr, A., Mechanisms of the Displacement of One Fluid by Another in a Network of Capillary Ducts. J Fluid Mec, 135, 337, (1983)
Leverett, M.G., Flow of Oil-Water Mixtures Through Unconsolidated Sands. Trans AIME, 132. 149, (1939)
Levine, S. and Lowndes, J., Application of Percolation Theory to Capillary Pressure-Saturation Effects in a Porous Medium. Unpublished paper, (1983)
Lin, C. and Slattery, J.C., Three-Dimensional Randomized. Network Model for Two-Phase Flow Through Porous Media. AICHEJ,28, 2,311, (1982)
Loren, S.D., Permeability Estimates from NML Measurements. J P T, 24,923, (1972)
Lucia, F.S., Petrophvsical Parameters Estimated from Visual Descriptions of Carbonate Rocks: A Field Classification of Carbonate Pore Space. JPT, 35, 629, (1983)
Marle, C.M.. Multiphase Flow in Porous Media. Institute Francais Du Petrole, Gulf Publishing Company, (1981)
McCaffery, F.G., The Effect of Wettability on Relative Permeability and Imbibition in Porous Media. Ph. D. Thesis, University of Calgary, (1973).
Mann, R., Androutsopoulos, G.P. and Golshan, A., Application of a Stochastic Network Pore Model to Oil Bearing Rock with Observations Relevant to Oil Recovery. Chem Engng Sci, 36, 337, (1981)
Mohanty, K.K.and Salter, S.J-, Multiphase Flow in Porous Media: II. Pore Level Modeling. SPE paper No. 11018, presented at the 57th Annual Fall Technical Conference and Exhibition of SPE of AIME held in New Orleans in LA (Sept. 26-29 1982)
Mohanty, K.K., Scriven, T.H. and Davis, E.L., Physics of Oil Entrapment in Water Wet Rock. SPE paper No. 940, presented at the 55th Annual Fall Technical Conference of the Society of Petroleum Engineers of AIME, Dallas, Texas, (Sept. 21-24 1980)
Moran, J.H. and Papaconstantinou, C.M., A Novel Dynamic Measurement of Permeability. Soc Pet E J, 2L 670, (1981)
Morgan, J.T. and Gordon, D.T., Influence of Pore Geometry on Water-Oil Relative Permeability. J P T, 22, 1199,(1970)
Morrow, N.R., Chatzis, L, Siegel, D., Taber, J.J., Corrections to In-Situ Measurements of Residual Oil for Flushing at the Wellbore. Pet. Soc. of CIM paper No 83-34-26 presented at the 34th. Annual Technical Meeting of the Petroleum Society of CIM, Banff, (May 10-13 1983)
Morrow, N.R., and Chatiudompunth, Application of Hydraulic Radii Concept to Multiphase Flow. P.R.R.C. Report, 82-85, (1982)
Morrow, N.R., Chatzis, I. and Lim, H., Relative Permeabilities at Reduced Residual Saturation. Pet- Soc. of CIM paper No 83-34-28, Presented at the 34th Annual Technical Meeting of the Petroleum Society of CIM, Banff, (May 1983)
Morrow, N.R. and McCaffery, F.G., Displacement Studies in Uniformly Wetted Porous Media. Wetting, Spreading and Adhesion, J.F. Padday, ed. Academic Press (1978) 289-319
Naar, J. and Henderson J.H., An Imbibition Model – Its Application to Flow Behaviour and the Prediction of Oil Recovery. Soc Pet E J, 1, (2), 61, (1961)
Naar, J. and Wygal, R.G., Three-Phase Imbibition Relative Permeability. Soc Pet E J, 1, (5), 254, (1961)
Nakamura, M.. A Method to Improve the Effective Medium Theory Towards Percolation Problem. Jphys C, .15, 749, (1982)
Nakamura, M., Evaluation of the Effective-Medium Theory Towards Percolation Problem. Phys Rev B, 28, 4,2216,(1983)
Nakamura, M., Conductivity for the Site-Percolation Problem by an Improved Effective-Medium Theory. Phys Rev B, 29, 3691, (1984)
Nash J.C., Compact Numerical Methods For Computers: linear algebra and function minimization. Adam Hilger Ltd, (1979)
Ng, K..M., Payatakes, A.C., Stochastic Simulation of the Motion. Break-up and Standing of Oil Ganglia in Water-Wet Granular Porous Media During Immiscible Displacement. AICHEJ,26, 3, 419, (1980)
Odeh, A.J., Effect of Viscosity Ratio on Relative Permeability. Trans AIME, 216. 346, (1959)
Parsons, R.W., Directional Permeability Effects in Developed and Unconfined Five Spots. J P T, 24, 487, (1972)
Pathak, P., Davis, H.T. and Scriven, L.E., Dependence of Residual Non-Wetting Liquid on Pore-Topology. SPE paper No 11016, presented at the 57th Annual Fall Technical Conference, New Orleans., (Sept. 26-29,1982)
Payatakes, A.C., Ng, K.M. and Flumerfelt, R.W., Oil Ganglion Dynamics During Immiscible Displacement: Model Formulation. AICHEJ,26, 3,430, (1980)
Peaceman. D.W.. Fundamentals of Numerical Reservoir Simulation. Elsevier, (1977)
Quiblier, J.A., A New Three-Dimensional Modeling Technique for Studying Porous Media. J Coll I Sc, 98, 1, 84,(1984)
Ramakrishnan, T.S. and Wasan, D.T., The Relative Permeability Function for Two-Phase Flow in Porous Media: Effect of Capillary Number. SPE paper No 12693 presented at the SPE/DOE Fourth Symposium of Enhanced Oil Recovery held in Tulsa, OK, (April 15-18 1984).
Rose, W.D., A New Method to Measure Directional Permeability. J P T, 34, 1142, (1982)
Salter, S.J. and Mohanty, K.K., Multiphase Flow in Porous Media”: I. Macroscopic Observations”. SPE paper No. 11017, presented at the 57th Annual Fall Technical Conference and Exhibition of SPE ofAIME held in New Orleans in LA (Sept. 26-29 1982)
Sehwartz, H.R., Rutishanser, H., Stiefel, E., Numerical Analysis of Symmetric Matrices. Prentice Hall, (1973)
Shankar, P.K., Experimental Investigation of Two-Phase (Oil-Brine) Relative Permeability Characteristics in Mixed Wet Sandstone Systems With Reference to Oil Recovery Efficiency. Ph.D. Thesis, University of Waterloo, (1979)
Shante, V.K.S. and Kirkpatrick, S., An Introduction to Percolation Theory. Adv Phys, 42, 385, (1971)
Sigmund, P.N. and McCaffery, F.G., An Improved Steady State Procedure for Determining the Relative-Permeability Characteristics of Heterogeneous Porous Media. Soc Pet E J, 19,15, (Feb. 1979)
Slattery. S.C. Multiphase Viscoelastic Flow Through Porous Media. AICHEJ,14 50, (1968)
Soo, G. and Slattery, J.C., Interfacial Tension Required for significant Displacement of Residual Oil. Soc Pet E J, 19, 83, (April 1979).
Swanson, B.F., A Simple Correlation Between Permeability and Mercury Capillary Pressures. J P T, 33, 2498,(1981)
Talash, A.W., Experimental and Calculated Relative Permeability Data for Systems Containing Tension Additives. SPE paper No 5810 presented at the Improved Oil Recovery Symposium held in Tulsa, OK, (March 22-24, 1976)
Thomas, R.D. and Ward, D.C., Effect of Overburden Pressure and Water Saturation on Gas Permeability of Tight Sandstone Cores. J P T, 24, 120, (1972)
Thomeer, J.H., Air Permeability as a Function of Three-Pore Network Parameters. J P T, 35, 809, (1983)
Torabzadeh, S.J. and Handy, L.L., The Effect of Temperature and Interfacial Tension on Water/Oil Relative Permeabilities of Consolidated Sands. SPE paper No 12689 presented at the SPE/DOE Fourth Symposium of Enhanced Oil Recovery held in Tulsa, OK, (April 15-18, 1984)
Walls. J.D., Tight Gas Sands-Permeability. Pore Structure, and Clay. J PT, 22, 2708, (1982).
Wardlaw, N.C., Pore Geometry of Carbonate Rocks as Revealed by Pore Casts and Capillary Pressure.
Am Ass Pet G Bull, 60, (2), 245, (1976).
Wardlaw, N.C., The Effects of Geometry. Wettability, Viscosity and Interfacial Tension on Trapping in Single Pore-Throat Pairs. J Can Pet T, 22, 21, (1982).
Warren, J.E. and Price, H.S., Flow in Heterogeneous Porous Media. Soc Pet E J, 1, 3, 153, (1961).
Westlake, J.R., A Handbook of Numerical Matrix Inversion and Solution of Linear equations. John Wiley and Sons, (1968).
Winterfeld, P.H., Scriven, L.E. and Davis, H.T., Percolation and Conductivity of Random Two-Dimensional Composites. J PhysC, 14,2361, (1981).
Yadav, G.D., Chatzis, I. and Dullien, F.A.L., Microscopic Distribution of Two Immiscible Fluids in Pore Space of Sandstone. Chem Engng Sci, 39. in press, (1984A).
Yadav, G.D., Dullien, F.A.L., Chatzis, I. and Macdonald, I.F., Microscopic Distribution of Wetting and Non-wetting Phases in Sandstones During Immiscible Displacements. SPE paper No 13212 presented at the 59th Annual Technical Conference and Exhibition held in Houston, Texas, (Sept. 16-19 1984B).
Yadav, G.D. and Mason, G., The Onset of Blob Motion in a Random Sphere Packing of the Surrounding Liquid. Chem Engng Sci, 38,9,1461, (1983).