Effective Correlation of Apparent Gas Permeability in Tight Porous Media
Tóm tắt
Gaseous flow regimes through tight porous media are described by rigorous application of a unified Hagen–Poiseuille-type equation. Proper implementation is accomplished based on the realization of the preferential flow paths in porous media as a bundle of tortuous capillary tubes. Improved formulations and methodology presented here are shown to provide accurate and meaningful correlations of data considering the effect of the characteristic parameters of porous media including intrinsic permeability, porosity, and tortuosity on the apparent gas permeability, rarefaction coefficient, and Klinkenberg gas slippage factor.
Tài liệu tham khảo
Beskok A., Karniadakis G.E.: A model for flows in channels, pipes, and ducts at micro and nano scales. Microscale Thermophys Eng. 3(1), 43–77 (1999). doi:10.1080/108939599199864
Carman P.C.: Flow of gases through porous media. Butterworths, London (1956)
Civan F.: Reservoir formation damage—fundamentals, modeling, assessment, and mitigation, 2Ed., pp. 1114. Gulf Professional Publisher, Elsevier, Burlington, MA (2007)
Civan F.: Generalized Darcy’s law by control volume analysis including capillary and orifice effects. J. Can. Petrol. Technol. 47(10), 1–7 (2008)
Florence, F.A., Rushing, J.A., Newsham, K.E., Blasingame, T.A.: Improved permeability prediction relations for low permeability sands, Paper SPE 107954 presented at the 2007 SPE Rocky Mountain Oil and Gas Technology Symposium, Denver, Colorado, USA, 16–18 April 2007
Javadpour F., Fisher D., Unsworth M.: Nanoscale gas flow in shale gas sediments. J. Can. Petrol. Technol 46(10), 55–61 (2007)
Klinkenberg, L.J.: The permeability of porous media to liquid and gases, API Drill. Prod. Prac. 200–213 (1941)
Loeb L.B.: The kinetic theory of gases, 2Ed. McGraw-Hill Co. Inc., New York (1934)
Loyalka S.K., Hamoodi S.A.: Poiseuille flow of a rarefied gas in a cylindrical tube: solution of linearized Boltzmann equation. Phys. Fluids A 2(11), 2061–2065 (1990). doi:10.1063/1.857681
Prada A., Civan F.: Modification of Darcy’s law for the threshold pressure gradient. J. Petrol. Sci. Eng. 22(4), 237–240 (1999). doi:10.1016/S0920-4105(98)00083-7
Sampath K., Keighin C.W.: Factors affecting gas slippage in tight sandstones of cretaceous age in the Uinta Basin. J. Pet. Technol. 34(11), 2715–2720 (1982)
Schaaf S.A., Chambre P.L.: Flow of rarefied gases. Princeton University Press, Princeton, NJ (1961)
Skjetne E., Auriault J.L.: Homogenization of wall-slip gas flow through porous media. Transp. Porous Media 36(3), 293–306 (1999)
Skjetne, E., Gudmundsson, J.S.: Coupling of wall-slip and high-velocity flow for determination of gas permeability, Paper Number 9522, 1995 International Symposium of the Society of Core Analysts, San Francisco, California, 12–14 September, pp. 1–10 (1995)
Tison, S.A., Tilford, C.R.: Low density water vapor measurements, The NIST Primary Standard and Instrument Response, NIST Internal Report 5241 (1993)
Wu Y.S., Pruess K., Persoff P.: Gas flow in porous media with Klinkenberg effects. Transp. Porous Media 32(1), 117–137 (1998)