Abstract
In this Note, suggestions are presented about simple but usually ignored ways to enhance the reliability and utility of the otherwise interesting procedures recently studied (e.g. by Zarcone and Lenormand), and independently by Dullien and Dong for obtaining needed information about the relative importance of the role played by viscous coupling phenomena during multiphase flow processes that occur in and the interstices of natural porous media systems. This is done now because of the persistence of so many perplexing questions and contradicting opinions about what has been a controversial subject ever since the appearance of Yuster's watershed paper in 1951. Here, the belief held by at least a few of the currently publishing authorities is embraced, namely that viscous coupling issues will never be fully settled until the indications of the underlying theoretical interpretations can be fully confirmed by laboratory observations, hence a disclosure of even modest ways to achieve data acquisition enhancements is the motivation for what is written in what follows.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Avraam, D. G. and Payatakes, A. C.: 1995a, Flow regimes and relative permeabilities during steadystate two-phase flowin porous media, J. Fluid Mech. 293, 207-236; cf. also Avraam and Payatakes: 1995b, Generalized relative permeability coefficients during steady-state two-phase flowin porous media, and correlation with flow mechanisms, Transport in Porous Media 22, 135-168.
Bentsen, R. G. and Manai, A. A.: 1993, On the use of conventional cocurrent and countercurrent effective permeabilities to estimate the four generalized permeability coefficients which arise in coupled, two-phase flow, Transport in Porous Media 11, 243-262.
Bourbiaux, B. J. and Kalaydjian, F. J.: 1990, Experimental study of cocurrent and countercurrent flows in natural porous media, SPERE 5, 361-368.
de la Cruz, V., Sahay, P. N. and Spanos, T. J. T.: 1993, Thermodynamics of porous media, Proc. Roy. Soc. London A 443, 247-255.
de la Cruz, V., Spanos, T. J. T. and Yang, D.: 1995, Macroscopic capillary pressure, Transport in Porous Media 19, 67-77.
Dullien, F. A. L. and Dong, M.: 1996, Experimental determination of the flow transport coefficients in the coupled equations of two-phase flow in porous media, Transport in Porous Media 25, 97-120.
Evgen'ev, A. E.: 1965, Phase permeabilities in filtration of a two-phase system through a porous medium, Soviet Phys. Dokl. 10(8), 411-412.
Goode, P. A.: 1991, Momentum transfer across fluid-fluid interfaces in porous media, PhD Thesis Heriott-Watt University.
Jaynes, E. T.: 1983, Papers on Probability, Statistics and Statistical Mechanics, cf. Minimum entropy production theory, D. Reidel, Dordrecht, pp. 410 ff.
Kalaydjian, F.: 1990, Origin and quantification of coupling between relative permeabilities for twophase flows in porous media, Transport in Porous Media 5, 215-229.
Lasseux, D., Quintard, M. and Whitaker, S.: 1996, Determination of permeability tensors for twophase flow in homogeneous porous media: Theory, Transport in Porous Media 24, 107-137.
Liang, Quingjian: 1993, Interaction between immiscible phases flowing at different velocities in porous media, PhD Thesis, College of Engineering, Louisiana Tech University, 101 pages; cf. also Liang, Q. and Lohrenz: 1994, Dynamic method for measuring coupling coefficients of two-phase flow in porous media, Transport in Porous Media 15, 711-79.
Rose, W.: 1951, Some problems of relative permeability measurement, Proc. Third World Petroleum Congress II, 446-459.
Rose, W.: 1964, Problémes concernant la measure et l'interprètation des pressions capillaires, Rev. Inst. Franc¸ais Pètrole 19, 1148-1161.
Rose, W.: 1969, Transport through interstitial paths of porous solids, J. Pure Appl. Sci. (METU/Turkey) 2, 117-132.
Rose, W.: 1976, Darcy's law, revisited, (cf. Appendix therein), J. Mining Geology 13, 38-44.
Rose, W.: 1979, Measuring relative permeabilities and estimating reserves, Proc. Congreso Panamericano de Ingenieria del Petroleos. Mexico City, 10-23 March.
Rose, W.: 1980, Some problems in applying the Hassler relative permeability method, J. Petrol. Technol. 32, 1161-1163.
Rose, W.: 1985, Apparatus and procedure for relative permeability measurement, United States Patent, Number 4,506,542, (Patent issued 26 March 1985).
Rose, W.: 1987, Relative permeability, Handbook of Petroleum Engineering (2nd edn).
Rose, W.: 1988, Measuring transport coefficients necessary for the description of coupled two-phase flow of immiscible fluids in porous media, Transport in Porous Media 3, 163-171; cf. the sequel paper by Rose: 1989, Data interpretation problems to be expected in the study of coupled fluid flow in porous media, Transport in Porous Media 4, 185-189.
Rose, W., Gallegeos Ricardo and Rose, D.M.: 1988, Some guidelines for core analysis studies of oil recovery processes, The Log Analyst J. Soc. Professional Well Logging Analysts 29, 178-183.
Rose, W.: 1990a, Optimizing experimental design for coupled porous media flow studies, Exper. Thermal Fluid Sci. 3, 613.
Rose, W.: 1990b, Lagrangian simulation of coupled two-phase flows, Mathematical Geology 22, 641-654.
Rose, W.: 1990c, Attaching new meanings to the Equations of Buckley and Leverett, Journal of Petroleum Science and Engineering 1, 223-228.
Rose, W.: 1991a, Critical questions about the coupling hypothesis, J. Petrol. Sci. Eng. 5, 299-307.
Rose, W.: 1991b, Richards' assumptions and Hassler's presumptions, Transport in Porous Media 6, 90-99.
Rose, W.: 1995, Generalized description of multi-phase flow through porous media, Proc. 32nd Annual Technical Meeting of the Society of Engineering Sciences, extended abstract, 483-484.
Ruth, D. and Wong, S.: 1990, Centrifuge capillary pressure curves, J. Canad. Petrol. Technol. 29, 72-87; also see O'Mera, D.J. and Lease (1983), Multiphase relative permeability measurements using an automated centrifuge, Society of Petroleum Engineering, Paper 12128.
Truesdell, C. and Toupin, R. A.: 1960, The classical field theories, Handbuch der Physik III/1, Springer Verlag, Berlin, pp. 226-793.
Yuster, S. T.: 1951, Theoretical considerations of multi[phase flow in idealized capillary systems, Proc. Third World Petroleum Congress II, 437-445.
Zarcone, C. and Lenormand, R.: 1994, Détermination expérimentale du couplage visqueux dans les écoulements diphasiques en milieu poreux, C.R. Acad. Sci. Paris Serie II 318, 1429-1438; cf. also Zarcone, C.: 1994, Thèse de l'Institut Polytechnique National de Toulouse.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rose, W. An Upgraded Viscous Coupling Measurement Methodology. Transport in Porous Media 28, 221–231 (1997). https://doi.org/10.1023/A:1006596830724
Issue Date:
DOI: https://doi.org/10.1023/A:1006596830724