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Existence et propriétés du temps de percée lors de déplacements forcés eau-huile en milieu poreux. (The water break-through time during the secondary recovery procedure from oil fields). (French) Zbl 0599.76112

Within the frame of Chavent’s mathematical modelling of the secondary recovery from oil fields, the aim of this paper is a particular aspect of the theoretical study of water-oil displacements in a three-dimensional porous field. The model under consideration consists of a degenerate evolution inequality and an elliptic boundary value problem. It is shown that there exists a finite time when water starts being produced simultaneously with oil. Moreover some properties of the amount of oil produced per unit time before and after this water break-through time are described.
Reviewer: M.Fila

MSC:

76S05 Flows in porous media; filtration; seepage
86A05 Hydrology, hydrography, oceanography
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