Application of Continuous Group Transforming to Fingero-Imbibition Phenomenon in Porous Media
Keywords:
Finger-Imbibition, Transcendental Functions, Homogeneous Porous MediumAbstract
The non-linear partial differential equation of a parabolic type governing the phenomenon of finger-imbibition in polyphase fluid flow through a homogeneous porous medium with capillary pressure has been discussed using the one parameter continuous group transformation. An analytical solution for average cross sectional area occupied by fingers has been obtained in terms of transcendental functions.
References
- Verma, A. P., Water resources research, AGU. 6, p. 906, 1970.
- Verma, A.P., J. Appl. Physics, 41 p. 3638, 1970.
- Blumabb, G. W., and Cole, J. D., Similarity methods for p.d. equations, springer Verlag, 1974.
- Murphy, G., Ordinary differential equation and their solutions, Est. and West Press, New Dehli.
- Muskat, M., Physical principles of oil production, McGraw Hill, New York, pp. 224, 1949.
- Scheidegger, A.E., The physics of flow through porous media, Univ. of Toronte, p. 229, 230, 1960.
- Scheidegger, A.E., and Johnson, E.F., Can .J. physics, 39, p. 326, 1961.
Downloads
Published
Issue
Section
License
Copyright (c) IJSRST

This work is licensed under a Creative Commons Attribution 4.0 International License.