Abstract
In two-phase flow processes in a porous medium where one fluid displaces another immiscible one various patterns of the displacing front and the fluid configuration after breakthrough can be observed. Under certain conditions the displacement process is stable, leading to a regular and well predictable fluid distribution. However, very often the flow conditions lead to unstable displacement and irregular, complex shapes evolve. In this article, the nature and the development of the different shapes will be discussed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bear, J., 1972; Dynamics of Fluids in Porous Media, Dover Publications Inc., New York.
Berkowitz, B., Ewing, R.P., 1998; “Percolation theory and network modeling applications in soil physics”; Surveys in Geophysics (19), pp. 23–72.
Dias, M.M., Wilkinson, D., 1986; “Percolation with trapping”; Journal of Physics A 19, pp. 3131–3146.
Feder, J., Jossang, T., 1995; “Fractal patterns in porous media flow”; In: Fractals in Petroleum Geology and Earth Processes, ed.: C.C. Barton and P.R. LaPointe, pp. 179–226; Plenum Press, New York.
Furuberg, L., Maloy, K.J., Feder, J., 1996; “Intermittend behaviour in slow drainage”; Physical Review E (53), pp. 966–977.
Furuberg, L., Feder, J., Aharony, A., Jossang, T., 1988; “Dynamics of invasion percolation”; Physical Review Letters, 61(18), pp. 2117–2120.
Glass, R.J., Yarrington, L., 1996; “Simulation of gravity fingering in porous media using a modified invasion percolation model”; Geoderma 70, pp. 231–252.
Homsy, G.M., 1987; “Viscous fingering in porous media”; Ann. Rev. Fluid Mech. (19), pp. 271–311.
Lenormand, R., 1989; “Applications of fractal concepts in petroleum engineering”; Physica D 38, pp. 230–234
Lenormand, R., Zarcone, C., 1989; “Capillary fingering: Percolation and fractal dimension”; Transport in Porous Media 4, pp. 599–612
Lenormand, R., Touboul, E., Zarone, C., 1988; “Numerical models and experiments on immiscible displacement in porous media”; Journal of Fluid Mechanics, 189, pp. 165–187
Marie, C.M., 1981; Multiphase flow in porous media; Editions Technip, Paris.
Maloy, K.J., Boger, F., Feder, J., Jossang, T., Meakin, P., 1987; “Dynamics and structure of viscous fingers in porous media”; In: Time-Dependent Effects in Disordered Materials, ed.: R. Pynn and T. Riste, pp. 111–138; Plenum Press, NY.
Meakin, P., 1993; “The growth of rough surfaces and interfaces”; Physics Reports 235(4/5), pp. 189–289.
Park, C.W., Gorell, S., Homsy, G.M., 1984; “Two-phase displacement in Hele-Shaw cells: experiments on viscously driven instabilities”; Journal of Fluid Mechanics, 141, pp. 257–287.
Paterson, L., 1984; “Diffusion-limited aggregation and two-fluid displacements in porous media”; Phys. Rev. Lett. 52, pp. 1621–1624.
Saffman, P.G., 1986; “Viscous fingering in Hele-Shaw cells”; Journal of Fluid Mechanics 173, pp. 73–94.
Saffman, P.G., Taylor, F.R.S., 1958; “The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous fluid”, In: Proceedings of The Royal Society London A 245, pp. 312–329.
Shaw, T.M., 1986; “Movement of a drying front in a porous material”; In: Mat. Res. Soc. Symposium Proc. (73), ed.: C. J. Brinker, D. E. Clark and D. R. Ulrich, pp. 215–223.
Stauffer, D., 1992; Introduction to percolation theory, Taylor & Francis, London.
Trantham, H., Durnford, D., 1999; “Stochastic aggregation model (SAM) for DNAPL-water displacement in porous media”; Journal of Contaminant Hydrology, 36, pp. 2076–2080.
Wilkinson, D., Willemsen, J.F., 1983; “Invasion percolation: a new form of percolation theory”; Journal of Physics A (16), pp. 3365–3376.
Witten, T.A., Sander, L.M., 1983; “Diffusion limited aggregation”, Physical Review B, 27, pp. 5686–5697.
Yortsos, Y.C., Huang, A.B., 1986; “Linear stability analysis of immiscible displacement including continously changing mobility and capillary effects: Part I — simple basic flow profiles”; SPE Reservoir Engineering, pp. 378–390.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Neuweiler, I., Kinzelbach, W. (2000). Two-phase flow processes in porous media producing geometric patterns. In: Gyr, A., Koumoutsakos, P.D., Burr, U. (eds) Science and Art Symposium 2000. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4177-2_24
Download citation
DOI: https://doi.org/10.1007/978-94-011-4177-2_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5819-3
Online ISBN: 978-94-011-4177-2
eBook Packages: Springer Book Archive