Immiscible Displacement Model for Anisotropic and Correlated Porous Media
Publication: International Journal of Geomechanics
Volume 7, Issue 4
Abstract
Immiscible flow governs the macroscopic behavior of aqueous and non-aqueous phase liquids inside the porous media. Ganglia generation and movement of the advancing front during fluid displacement can only be described by means of microscopic models. In this study, a pore network cellular automata is used to simulate the displacement of a nonaqueous phase liquid by water inside a porous media. Pore sizes are generated using random and stochastic fields. The numerical model captures the evolution of interfaces and fluid movement for each pressure applied to the displacing fluid. Observed trends suggest that ganglia size and shape, and fingering are directly related to anisotropy, pore size spatial variability and correlation length. The results show that micro- and mesoscale porous media properties control the nonaqueous phase residual saturation and observed macoscopic behavior.
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Acknowledgments
This research was partially supported by CONICET, Agencia Cordoba Ciencia and SECyT. The writers thank Professor Luis A. Godoy for his comments and appreciate the initial support given by Professor Victor Rinaldi and Professor Carlos Santamarina.
References
Adamson, A. W., and Gast, A. P. (1997). Physical chemistry of surfaces, 6th Ed., Wiley, New York.
Aitkenhead, M. J., Foster, A. R., FitzPatrick, E. A., and Townend, J. (1999). “Modelling water release and absorption in soils using cellular automata.” J. Hydrol., 220(1–2), 104–112.
Angelopoulos, A. D., Paunov, V. N., Burganos, V. N., and Payatakes, A. C. (1998). “Lattice Boltzmann simulation of nonideal vapor-liquid flow in porous media.” Phys. Rev. E, 57(3), 3237–3245.
Bandini, S., Mauri, G., Pavesi, G., and Simone, C. (2001). “Parallel simulation of reaction-diffusion phenomena in percolation processes. A model based on cellular automata.” FGCS, Future Gener. Comput. Syst., 17, 679–688.
Binning, P., and Celia, M. A. (1999). “Practical implementation of the fractional flow approach to multiphase flow simulation.” Adv. Water Resour., 22(5), 461–478.
Blunt, M. J. (2001). “Flow in porous media: pore-network models and multiphase flow.” Current Opinion in Colloid and Interface Science 6(3), 197–207.
Chatzis, I., Morrow, N. R., and Lim, H. T. (1983). “Magnitude and detailed structure of residual oil saturation.” SPEJ, 23(2), 311–325.
Chevalier, L. R., Morris, T., Allen, C., Lazarowitz, V., and Fektenberg, L. (2000). “Comparison of primary and secondary surfactant flushing to enhance LNAPL recovery.” Soil and Sediment Contamination, 9(5), 425–448.
Corey, A. T. (1986). Mechanics of immiscible fluids in porous media, Water Resources Publications, Littleton, Colo.
D’Ambrosio, D., Di Gregorio, S., Gabriele, S., and Gaudio, R. (2001). “A cellular automata model for soil erosion by water.” Phys. Chem. Earth, Part B, 26(1), 33–39.
D’Ambrosio, D., Di Gregorio, S., Iovine, G., Lupiano, V., Rongo, R., and Spataro, W. (2003). “First simulations of the Sarno debris flows through cellular automata modelling.” Geomorphology, 54(1–2), 91–117.
Dullien, F. A. L. (1992). Porous media fluid transport and pore structure, 2nd Ed., Academic, New York.
Fatt, I. (1956). “The network model of porous media I. Capillary pressure characteristics.” Trans. AIME, 207, 144–159.
Francisca, F. M., Rinaldi, V. A., and Santamarina, J. C. (2003). “Instability of hydrocarbon films over mineral surfaces: microscale experimental studies.” J. Environ. Eng., 129(12), 1120–1128.
Hardisty, P. E., Wheater, H. S., Johnston, P. M., and Bracken, R. A. (1998). “Behavior of light immiscible liquid contaminants in fractured aquifers.” Geotechnique, 48(6), 747–760.
Heibeler, D. E. and Tatar, R., and (1997). “Cellular automata and discrete physics.” Introduction to nonlinear physics, L. Lam ed., Springer, New York.
Held, R. J., and Celia, M. A. (2001). “Pore-scale modeling extension of constitutive relationships in the range of residual saturations.” Water Resour. Res., 37(1), 165–170.
Jia, C., Shing, K., and Yortsos, Y. C. (1999). “Visualization and simulation of NAPL solubilization in pore networks.” J. Contam. Hydrol., 35(4), 363–387.
Keller, A. A., Blunt, M. J., and Roberts, P. V. (2000). “Behavior of nonaqueous phase liquids in fractured porous media under two-phase flow condition.” Transp. Porous Media, 38(1–2), 189–203.
Knackstedt, M. A., Sheppard, A. P., and Sahimi, M. (2001). “Pore network modelling of two-phase flow in porous rock: the effect of correlated heterogeneity.” Adv. Water Resour., 24(3–4), 257–277.
Lenormand, R., Touboul, E., and Zarcone, C. (1988), “Numerical models and experiments on immiscible displacement in porous media.” J. Fluid Mech., 189, 165–187.
Mani, V., and Mohanty, K. K. (1997). “Effect of the spreading coefficient on three-phase flow in porous media.” J. Colloid Interface Sci., 187(1), 45–56.
Mercer, J. W., and Cohen, R. M. (1990). “A review of immiscible fluids in the subsurface: properties, models, characterization and remediation.” J. Contam. Hydrol., 6(2), 107–163.
Morrow, N. R. (1990). “Wettability and Its Effect on Oil Recovery.” Part. Charact., 42, 1476–1484.
Pennell, K. D., Pope, G. A., and Abriola, L. M. (1996). “Influence of viscous and buoyancy forces on the mobilization of residual tetrachloroethylene during surfactant flushing.” Environ. Sci. Technol., 30(4), 1328–1335.
Reddy, L. N., and Inyang, H. I. (2000). Geoenvironmental Engineering, Marcel Dekker, New York.
Sahimi, M. (1993). “Flow phenomena in rocks: From continuum models to fractals, percolation, cellular automata, and simulated annealing.” Rev. Mod. Phys., 65(4), 1393–1537.
von Neumann, J. (1966). Theory of self-reproducing automata, A. W. Burks, ed., Univ. of Illinois, Urbana, Ill.
Yamazaki, F., and Shinozuka, M. (1988). “Digital generation of non-Gaussian stochastic fields.” J. Eng. Mech., 114(7), 1183–1197.
Yu, T., and Lee, S. (2002). “Evolving cellular automata to model fluid flow in porous media.” Proc., 2002 NASA/DoD Conf. on Evolvable Hardware, IEEE Press, New York, 210–218.
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© 2007 ASCE.
History
Received: Dec 30, 2005
Accepted: Dec 8, 2006
Published online: Jul 1, 2007
Published in print: Jul 2007
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