Abstract
The existence of capillary-gravitational equilibrium is detected in the problem of the penetration of a nonwetting fluid into a porous medium from the top. Using a numerical simulation method, three qualitatively feasible regimes of operation of the system are distinguished: total penetration of the soil; penetration to a finite depth, i.e., starting from a certain moment of time the gravitational head is weaker than the capillary resistance of the medium; no penetration of the soil. The existence of these three regimes makes it possible to distinguish critical parameters of the process expressed in terms of the Bond number.
Similar content being viewed by others
References
A. E. Scheidegger,The Physics of Flow through Porous Media, University of Toronto Press, Toronto (1957).
M. B. Panfilov and I. V. Tuvaeva, “Percolation models of the processes of fluid displacement in randomly inhomogeneous media,” [in Russian], Preprint No. 12, Oil and Gas Research Institute, USSR Academy of Sciences, Moscow (1991).
I. V. Panfilova, “Network models of porous media. 1. Theory of phase permeabilities for different-viscosity displacement,” [in Russian], Preprint No. 28, Oil and Gas Research Institute, Russian Academy of Sciences, Moscow (1995).
I. V. Panfilova and J. Muller, “Two-scale method for saturation transport simulation in the network model of porous media,” in:Proc. Congr. “Recent Advances in Problems of Flow and Transport in Porous Media”, Marrakesh, Maroc (1996).
Additional information
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 95–103, March–April, 1998.
Rights and permissions
About this article
Cite this article
Panfilova, I.V. Gravitional penetration of a nonwetting fluid into a porous medium. Classification of regimes. Fluid Dyn 33, 230–237 (1998). https://doi.org/10.1007/BF02698707
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02698707