A Unified Convection-Diffusion Layered Model For Non-Ideal Rarefied Gas Flow In Nanoscale Porous Media

References

1. Beskok, A. and Karniadakis, G.E.
   [1999] A model for flows in channels, pipes, and ducts at micro and nano scales.Microscale Thermophysical Engineering, 3(1), 43–77.
   [Google Scholar]
2. Bird, R.B., Stewart, W.E. and Lightfoot, E.N.
   [2007] Transport Phenomena. Second Edition, John Wiley and Sons Incorporation, Hoboken, NJ.
   [Google Scholar]
3. Burnett, D.
   [1935] The distribution of molecular velocities and the mean motion in a non-uniform gas.Proceedings of the London Mathematical Society, 39(2), 382–435.
   [Google Scholar]
4. Civan, F.
   [2010] Effective correlation of apparent gas permeability in tight porous media.Transport in Porous Media, 82(2), 375–384.
   [Google Scholar]
5. Darabi, H., Ettehad, A., Javadpour, F. and Sepehrnoori, K.
   [2012] Gas flow in ultra-tight shale strata.Journal of Fluid Mechanics, 710, 641–658.
   [Google Scholar]
6. Ertekin, T., King, G. and Schwerer, F.
   [1986] Dynamic gas slippage, a unique dual-mechanism approach to the flow of gas in tight formations.SPE Journal,1(1), 43–52.
   [Google Scholar]
7. Ewart, T., Perrier, P., Graur, I. and Meolans, J.G.
   [2007] Tangential momentum accommodation in microtube.Microfluid Nanofluidics, 3(6), 689–695.
   [Google Scholar]
8. Haimes, Y.Y., Lasdon, L.S. and Wismer, D.A.
   [1971] On a bicriterion formulation of the problems of integrated system identification and system optimization.IEEE Transactions on Systems, Man and Cybernetics, 1(3), 296–297.
   [Google Scholar]
9. Heidaryan, E. and Jarrahian, A.
   [2013] Natural gas viscosity estimation using density based models.Canadian Journal of Chemical Engineering, 91(6), 1183–1189.
   [Google Scholar]
10. Jarrahian, A. and Heidaryan, E.
    [2014] A simple correlation to estimate natural gas viscosity.Journal of Natural Gas Science and Engineering, 20, 50–57.
    [Google Scholar]
11. Javadpour, F., Fisher, D. and Unsworth, M.
    [2007] Nanoscale gas flow in shale gas sediments.Journal of Canadian Petroleum Technology, 46(10), 55–61.
    [Google Scholar]
12. Javadpour, F.
    [2009] Nanopores and apparent permeability of gas flow in mudrocks (shales and siltstone).Journal of Canadian Petroleum Technology, 48(8), 16–21.
    [Google Scholar]
13. Kennard, E.H.
    [1938] Kinetic Theory of Gasses.McGraw-Hill Book Co. Inc., New York.
    [Google Scholar]
14. Landry, C.J., Prodanović, M. and Eichhubl, P.
    [2016] Direct simulation of supercritical gas flow in complex nanoporous media and prediction of apparent permeability.International Journal of Coal Geology.159, 120–134.
    [Google Scholar]
15. Loucks, R.G., Reed, R.M., Ruppel, S.C. and Jarvie, D.M.
    [2009] Morphology, genesis, and distribution of nanometer-scale pores in siliceous mudstones of the Mississippian Barnett shale.Journal of Sedimentary Research, 79(12), 848–861.
    [Google Scholar]
16. Loyalka, S. and Hamoodi, S.
    [1990] Poiseuille flow of a rarefied gas in a cylindrical tube, solution of linearized Boltzmann equation.Physics of Fluids A: Fluid Dynamics, 2(11), 2061–2065.
    [Google Scholar]
17. Mahmoud, M.A.
    [2013] Development of a new correlation of gas compressibility factor (Z-factor) for high pressure gas reservoir.North Africa Technical Conference and Exhibition,SPE, Cairo, Egypt.
    [Google Scholar]
18. Michalis, V.K., Kalarakis, A.N., Skouras, E.D. and Burganos, V.N.
    [2010] Rarefaction effects on gas viscosity in the Knudsen transition regime.Microfluid Nanofluid, 9, 847.
    [Google Scholar]
19. Roth, A.
    [1982] Vacuum Technology (Revised 2nd edition).Elsevier, Amsterdam: North Holland.
    [Google Scholar]
20. Schaaf, S.A. and Chambre, P.L.
    [1961] Flow of rarefied gases.Princeton University Press, Princeton.
    [Google Scholar]
21. Tison, S.A.
    [1993] Experimental data and theoretical modeling of gas flows through metal capillary leaks.Vacuum, 44(11–12), 1171–1175.
    [Google Scholar]
22. Veltzke, T. and Thöming, J.
    [2012] An analytically predictive model for moderately rarefied gas flow.Journal of Fluid Mechanics.698, 406–422.
    [Google Scholar]
23. Wu, K.L., Li, X.F., Guo, C.H., Wang, C.C. and Chen, Z.X.
    [2016] A unified model for gas transfer in nanopores of shale gas reservoirs: coupling pore diffusion and surface diffusion.SPE Journal, 21(5), 1583–1611.
    [Google Scholar]
24. Zoback, M.D. and Arent, D.J.
    [2014] Shale gas development opportunities and challenges.Proceedings of the National Academy of Sciences.44, 16–23.
    [Google Scholar]