Abstract
Finger-like instability with immiscible displacement of one viscous fluid with the other from porous material has been studied experimentally for two main cases: transparent two-dimensional model of porous medium with chaotic distribution of volumetric pores and thin 1×20×66 sm sample of arenaceous quartz placed horizontally. Data on selection of surface structures with instable displacement front in two-dimensional and three-dimensional pore systems has been obtained. In porous materials occur various phenomena related with the stability of interphase boundary in random medium when the capillary forces govern interphase boundary motion in small scale and viscous forces in a large one. As the result, capillary instability in small scale generating the noise with large amplitude and viscous instability in large scale are simultaneously developed. Surface structures development with viscous fingergrowing when there is large noise has been in detail studied and the experimental data are discussed from the standpoint of well-known theoretical models of viscous fingergrowing.
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References
Bensimon, D., 1986, On the stability of viscous fingering, Phys. Rev. A 33: 1302.
Bensimon, D., Kadanoff, L. P., Liang, S., et al., 1986, Viscous flow in two dimensions, Rev. Modern Phys. 58: 977.
Chandler, R., Koplik, T., et al., 1982, Capillary displacement and percolation in porous media, J. Fluid Mech. 119: 249.
Chuoke, R. L., Van Meurs, P., and Van der Poel, C., 1958, The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media, Trans. AIME 216: 188.
Collins, R. E., 1961, “Flow of Fluids through Porous Materials”, Reinhold Publishing Corporation, New York.
Homsy, G. M., 1987, Viscous fingering in porous media, Annu. Rev. Fluid Mech. 19: 271.
Kuznetsov, V. V., and Dimov, S. V., 1991, Microstructure of two-phase flow in porous media, Proceedings of “International Seminar on Heat and Mass Transfer in Porous Media”, Dubrovnic, Yugoslavia.
Liang, S., 1986, Random walk simulations of flow in Hele-Shaw cells, Phys. Rev. A 33: 2663.
Saffman, P. G., and Taylor, G. I., 1958, The penetration of fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, Proc. Royal Soc. Ser. A 245: 312.
Wilkinson, P., and Willemsen, J. F., 1983, Invasion Percolation: New Form of Percolation Theory, J. Phys. A, 16: 3365.
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© 1993 Springer Science+Business Media New York
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Kuznetsov, V.V., Bocharov, O.B., Vitovsky, O.V. (1993). Viscous Fingering and Surface Structure Formation in Porous Media. In: Gouesbet, G., Berlemont, A. (eds) Instabilities in Multiphase Flows. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1594-8_26
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DOI: https://doi.org/10.1007/978-1-4899-1594-8_26
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