References                

 

A.         Delshad, M. & Pope, G.A.: "Comparison of the three-phase oil relative permeability models", Transport in Porous Media, Vol. 4, No.1, Feb 1989, 59-83.

B.         Guzman, R.E., Giordano, D., Fayers, F.J., Godi, A., and Aziz, K.: "Three-phase flow in field-scale simulation of gas and WAG injections", SPE 28897, presented at European Petroleum Conference, 1994.

C.         Guzman, R.E.: Mathematics of three- phase flow, PhD Thesis, University of Stanford, 1995.

D.         Baker, L.E.: "Three-phase permeability correlations"' SPE/DOE 17369, presented at Enhanced Oil Recovery Symposium, 1988.

E.         Fayers, F.J.: "Extension of Stone's method 1 and conditions for real characteristics in three-phase flow", SPE Reservoir Engineering, April 1989, 437-445.

F.         Guerrero, Marilou T.: “Estimation of Relative Permeability from a Dynamic Boiling Experiment”, MSc Thesis, Department of Petroleum Engineering, Stanford University, June 1998, Equation (3.13).

G.         Lal, Rajeev R.: "Well Testing in Gas-Condensate Reservoirs", MSc Thesis, Department of Petroleum Engineering, Stanford University, June 2003, Equation (2.5).

H.         Skjaeveland, S.M., Siqveland, L.M., Kjosavik, A., Hammervold, W.L., and Virnovsky, G.A.: " Capillary Pressure Correlation for Mixed-Wet Reservoirs", SPE 60900 paper, SPE RE&E, Feb 2000, Equation (2).

I.           Koederitz, L. F. and Mohamad Ibrahim, M. N : "Considerations In Creating And Using A Relative Permeability Database", presented at the 48th Annual Southwestern Petroleum Short Course Conference, Lubbock, Texas, USA, 25-26 April, 2001.

J.           L. F. Koederitz and M. N. Mohamad Ibrahim: “Developing a Proficient Relative Permeability Resource from Historical Data”, presented at the Petroleum Society’s Canadian International Petroleum Conference 2002, Calgary, Alberta, Canada, 11-13 June 2002.

K.         Snell, R.W.: “Three-Phase Relative Permeabilities in An Unconsolidated Sand”, J. Institute of Petroleum , March 1962, pp 80-88.

L.          Reid, S.: “The Flow of Three Immiscible Fluids in Porous Media”, PhD Thesis, University of Birmingham, U.K., 1956.

M.        Hosain, A.: “Three Phase Relative Permeability Measurements”, MSc Thesis, University of Birmingham, U.K., 1960.

N.         Leverett, M.C. and Lewis, W.B.: “Steady Flow of Gas-oil-water Mixtures through Unconsolidated Sands”, Trans AIME, 1941.

 

additional References

O.        Zhou, D., Fayers,F.J., and Orr, F.M.: "Scaling Multiphase Flow in Simple Heterogeneous Porous Media", SPE 27833. Paper first presented at the ASME Winter Meeting, New Orleans, Nov. 28-Dec.3 1993. Permission for SPE publication has been given by ASME.

P.        Kalaydjian, F.J-M.: "Performance and Analysis of Three-Phase Capillary Pressure Curves for Drainage and Imbibition in Porous Media", SPE 24878, presented at SPE Annual Technical Conference and Exhibition, 1992.

Q.        Muqeem, M.A., Bentsen, R.G. and Maini, B.: 'Effect of Temperature on Three-Phase Water-Oil-Gas Relative Permeabilities of Unconsolidated Sand', paper presented at the 43rd Canadian Chemical Engineering Conference, Ottawa, Oct. 3-6, 1993.

R.        Coats, K.H., Neilsen, R.L., Terhune, M.H., and Weber, A.G.: "Simulation of Three-Dimensional, Two-phase Flow in Oil and Gas Reservoirs", Transaction of the American Institute of Mining, Metallurgical and Petroleum Engineers, Inc., 145-156, 1967.

S.        Coats, K.H., Dempsey, J.H., and Henderson, J.H.: "The Use of Vertical Equilibrium in Two-Dimensional Simulation of Three-Dimensional Reservoir Performance", Society of Petroleum Engineers Journal, March 1971, 63-71.

T.         Honarpour, M., Koederitz, L.F., and Harvey, A.H.: Relative Permeability of Petroleum Reservoirs, reprinted by Society of Petroleum Engineers, Inc., 1994.

U.        Agat Laboratories, Calgary, Canada: "Brief Description on Relative Permeability Measurements", 1998.

V.        Agat Laboratories, Calgary, Canada: "Brief Description on Capillary Pressure Measurements", 1998.

W.      Archer, R.: Pseudo Function Generation, M.Sc. Thesis, Stanford University, 1996.

X.         Guzman, R.E., Giordano, D., Fayers, F.J., Godi, A., and Aziz, K.: " Use of Dynamic Pseudo Functions in Reservoir Simulation", Proceeding of Fifth International Forum on Reservoir Simulation", Muscat, Oman, 10-14, 1994.

Y.        Gray, W.G., and S.M. Hassanizadeh: "Paradoxes and Realities in Unsaturated Flow Theory", Water Resources Journal, 27, 1847-1854, 1991.

Z.         Gray, W.G., and S.M. Hassanizadeh: "Unsaturated Flow Theory Including Interfacial Phenomena", Water Resources Journal, 27, 1855-1863, 1991.

AA.    Hassanizadeh, S.M., and W.G. Gray : "Toward an Improved Description of the Physics of Two-Phase Flow", Advanced Water Resources Journal, 16, 53-67,            1993.

BB.    Hassanizadeh, S.M., and W.G. Gray : "Thermodynamic Basis of Capillary Pressure in Porous Media", Water Resources Journal, 29, 3389-3405, 1993.

CC.    Wang, C.Y., and C. Beckermann: " Single- vs Dual-Scale Volume Averaging for Heterogeneous  Multiphase Systems", International Journal of Multiphase Flow , 19, 397-407.

DD.    King, P.R., Muggeridge, A.H., and W.G. Price : "Renormalisation Calculations of  Immiscible Flow", Transport in Porous Media, 12, 237-260, 1993.

EE.    Kueper, B.H., and D.B. McWhorter: "The Use of Macroscopic Percolation Theory to Construct Large-Scale Capillary Pressure Curves", Water Resources Journal, 28, 2425-2436, 1992.

FF.     Thomas F. Russell: Modelling of Multiphase Multicontaminant Transport in the Subsurface, US National Report to IUGG, 1991-1994, Rev. Geophys.   Vol. 33 Suppl., American Geophysical Union, 1995.

GG.   Dake, L.P.: Fundamental of Reservoir Engineering, New York, N.Y.: Elsevier Science Publishing Company Inc., Chapter 10, 1978.

HH.    Amyx, J.W., Ass, D.M., Jr. and Whiting, R.L.: Petroleum Reservoir Engineering , McGraw-Hill Book Company, New York (1960).

II.          Baker, L.E.: "Three-Phase Relative Permeability Correlations", paper SPE/DOE 17369   presented at the 1988 SPE/DOE Enhanced Oil Recovery Symposium held in Tulsa, OK,   April 17-20.

JJ.       Burdine, N.T.: "Relative Permeability Calculations from Pore Size Distribution Data",Trans. AIME (1953), 198, pp. 71-78.

KK.    Corey, A.T., Rathjens, C.H. Henderson. J.H. and Wyllie, M.R.J.: "Three-Phase Relative Permeability", Trans. AIME (1956), 207, pp. 349-351.

LL.      Dietrich, J.K. and Bondor, P.L.: "Three-Phase Oil Relative Permeability Models", Paper  SPE 6044 Presented at the 1976 SPE Annual Technical Conference & Exhibition, New Orleans. LA. Oct. 3-6.

MM.  Donaldson, E. C. and Dean, G .W.: "Two- and Three-Phase Relative Permeability Studies", Rl6826 USM (1966), 23 pp.

NN.     Donaldson, E.C. and Kayser, M.B.: "Three-Phase Fluid Flow in Porous Media", DOEIBETC/IC-80/4, report published by the U.S. Dept. of Energy, April, 1981.

OO.   Grader, A.S. and O'Meara, D.J., Jr.: "Dynamic Displacement Measurements of Three-Phase Relative Permeabilities Using Three Immiscible Liquids", Paper SPE 18293 presented at the 1988 Annual Technical Conference and Exhibition of the SPE, Houston, TX, Oct. 2-5.

PP.    Johnson, E.F., Bossler, D.P. and Nauman, V.O.: "Calculation of Relative Permeability from Displacement Experiments", Trans. AIME (1959), 216, pp. 370.

QQ.   Kokal, S.L. and Maini, B.B.: "An Improved Model for Estimating Three-Phase Oil-Water-Gas Relative Permeabilities from Two-Phase Oil-Water and Oil-Gas Data", JCPT (March- April 1990), 29, 2, pp. 105-114.

RR.    Krutter, H. and Day, R.J.: "Air-Drive Experiments on Long Horizontal Consolidated Cores", JPT, 12, 1, 1943.

SS.    Land.C..S.: "Calculation of lmbibition Relative Permeability for Two-and Three-Phase Flow from Rock Properties", SPEJ (June, 1968), 8, 2, pp.149-156.

TT.      Maini, B.8., Kokal, S. and Jha, K.: "Measurements and Correlations of Three-Phase Relative Permeability at Elevated Temperatures and Pressures", Paper SPE 19677 presented at the 1989 Annual Technical Conference and Exhibition, San Antonio, TX, Oct. 8-11.

UU.    Marek, B.F., Hartman, K.J. and McDonald, A.E.: "Three-Phase Relative Permeability of Limestones Having Bimodal Pore-Size Distribution" , Paper SPE 20374 presented at the 1991 SPE Middle East Oil Show held in Bahrain, Nov. 16-19.

VV.    Morse, R.A., Terwillinger, P.L. and Yuster, S.T.: "Relative Permeability Measurements on Small Core Samples", Oil and Gas J. (Aug., 1947),            pp. 109.

WW.         Mungan, N.:  "Relative Permeability Measurements Using Reservoir Fluids", SPEJ (972), 12, 5, pp. 398-402.

XX.      Muqeem, M.A., Bentsen, R.G. and Maini, B.9.: "Effect of Temperature on Three-Phase Water-Oil-Gas Relative Permeabilities of Unconsolidated Sand", Paper presented at the 43rd Canadian Chemical Engineering Conference, Ottawa, Oct. 3-6, 1993.

YY.    Oak, M.J., Baker, L.E. and Thomas, D.C.: "Three-Phase Relative Permeability of Berea Sandstone", Paper SPE/DOE 17370 presented at the 1988 SPE/DOE EOR Symposium Tulsa, OK, April 1 7-20.

ZZ.      Rose, W.: "Attaching New Meanings to the Equations of Buckley and Leverett", Journal of  Pet. Sci. & Eng., 1, 1988, pp. 223-228.

AAA.         Saraf, D.N., Batycky, J.P., Jackson, C.H. and Fisher, D.B.: "An Experimental Investigation of Three-Phase Flow to Water/Oil/Gas Mixtures Through Water-Wet Sandstones", Paper SPE 10761 presented at the 1982 SPE California Regional Meeting, San Francisco, CA, March 24-26.

BBB.         Saraf, D.N. and Fatt, l.: "Three-Phase Relative Permeability Measurement Using Nuclear Magnetic Resonance Technique for Estimating Fluid Saturation", Trans. AIME (1967), 240, pp. 235-242.

CCC.         Sarem, A.M.: "Three-Phase Relative Permeability Measurements by Unsteady-State Method" , Trans. AIME 1966), 237, pp. 199-205.

DDD.         Schneider, F.N. and Owens, W.W.: "Sandstone and Carbonate Two- and Three-Phase Relative Permeability Characteristics", Trans. AIME (1970), 249, pp. 75-84. 

EEE.         Spronsen, E.V.: "Three-Phase Relative Permeability Using the Centrifuge Method", Paper SPE/DOE 10688 presented at the 1982 SPE/DOE Enhanced Oil Recovery Symposium, Tulsa, OK, April 4-7.

FFF. Stone, H.L.: "Probability Model for Estimating Three-Phase Relative Permeability", Trans. AIME (1970), 249, pp. 214-218. 

GGG.         Stone, H.L.: "Estimation of Three-Phase Relative Permeability and Residual Oil Data',  JCPT (Oct.-Dec., 1974), 12, 4, pp. 53-61.

A.        Wilson, J.W.: "Determination of Relative Permeability Under Simulated Reservoir Conditions", AlChEJ, 2, No. 1, 4, 1956.