Page 169 - gas transport in porous media
P. 169

162
                                                                                    Sahimi et al.
                           efficiency. A key issue with any upscaling procedure is how well the coarsened
                           (upscaled) model replicates important aspects of the fine-scale flow behavior, such
                           as total injection and production rate, average pressure or saturation throughout the
                           reservoir, and breakthrough times of injected flows. Additional issues are the degree
                           of coarsening achievable by a given method, the level of robustness of the coarse
                           scale model (that is, its applicability to models with different global boundary con-
                           ditions or well locations), and whether or not the method introduces modifications
                           to the form of the governing equations. Reviewing all aspects of upscaling methods
                           would require a full review by itself. The interested reader is referred to Ebrahimi
                           and Sahimi (2002, 2004), where some of these issues are discussed in detail, and a
                           new and efficient upscaling method for miscible displacements is proposed.


                           REFERENCES
                           Ali, J.K., McGualey, P.J., and Wilson C.J., The effects of high velocity flow and PVT changes near the
                             wellbore on condensate well performance. SPE 38923 (1997).
                           Al-Shuraiqi, H.S., MuggeridgeA.H., and Grattoni, C.A., Laboratory investigations of first contact miscible
                             WAG displacement: the effects of WAG ratio and flow rate. SPE 84894 (2003).
                           Ameafule, J.O., and Handy, L.L., The effect of interfacial tensions on relative oil/water permeabilities of
                             consolidated porous media. SPE 9783 (1982).
                           Araktingi, U.G., and Orr, F.M., Viscous fingering, gravity segregation, and reservoir heterogeneity in
                             miscible displacements in vertical cross sections. SPE 20176 (1990).
                           Araktingi, U.G., and Orr, F.M., Viscous fingering in heterogeneous porous media. SPE 18095 (1993).
                           Arbogast, T., Bryant, S., Dawson, C., Saaf, F., Wang, C., and Wheeler, M.F., Computational methods for
                             multiphase flow and reactive transport problems arising in subsurface conatinant remediation. J. Comp.
                             Appl. Math. 74, 19 (1996).
                           Asar, H., and Handy, L.L., Influence of interfacial tension on gas/oil relative permeability in a gas-
                             condensate system. SPE 11740 (1988).
                           Bacri, J.C., Salin, D., and Wouméni, R., Phys. Rev. Lett. 67, 2005 (1991).
                           Bardon, C., and Longeron, D.G., Influence of very low interfacial tensions on relative permeability. SPE
                             7609 (1980).
                           Batycky, R.P., A Three-Dimensional Two-Phase Field scale Streamline Simulator. Ph.D. dissertation,
                             Stanford University, Stanford, California (1997).
                           Batycky, R.P., Blunt, M.J., and Thiele, M.R., A 3D fine-scale streamline simulator with gravity and
                             changing well conditions. SPE 36726 (1996).
                           Bell, J.B., Shubin, M.J., and Wheeler, M.F., Analysis of a new method for computing the flow of miscible
                             fluids in a porous medium. SIAM J. Numer. Anal. 22, 1041 (1985).
                           Benham, A.L., and Olson R.W., A model study of viscous fingering. SPE 513 (1963).
                           Berger, A.E., Solomon, J.M., Ciment, M., Leventhal, S.H., and Weiberg, B.C., Generalized OCI schemes
                             for boundary layer problems. Math. Comp. 37, 79 (1980).
                           Blackwell, R.J., Rayne, J.R., andTerry, W.M., Factors influencing the efficiency of miscible displacements.
                             Trans. AIME 216, 1 (1959).
                           Blom, S.M.P., Relative Permeability to Near-Miscible Fluids. Ph.D. dissertation, Delft University of
                             Technology, The Netherlands (June 1999).
                           Blom, S.M.P., and Hagoort, J., How to include the capillary number in gas condensate relative permeability
                             functions? SPE 49268 (1998).
                           Blom, S.M.P., Hagoort, J., and Soetekouw, D.P.N., Relative permeability at near critical conditions. SPE
                             38935 (2000).
                           Boom, W., Wit, K., Schulte, A.M., Oedai, S., Zeelenberg, J.P.W., and Maas, J.G., Experimental evidence
                             for improved condensate mobility at near-wellbore flow conditions. SPE 30766 (1995).
   164   165   166   167   168   169   170   171   172   173   174