| Abstract: | A new model of the flow of two miscible, mutually-insoluble fluids in a porous medium with the formation of an emulsion and
adsorption of the fluid components on the skeleton is proposed. The model takes into account the effect of interphase mass
transfer on the emulsion dynamics and the active porosity. A continuous general solution of the one-dimensional model and
the problem of breakdown of a discontinuity is constructed. The flow regimes generated in displacement problems which depend
on the shape of the adsorption isotherms and the densities of the fluid components are considered. The time dependence of
the production rate is constructed for frontal displacement regimes and for displacement regimes with the formation of a zone
of mixing (Riemann wave) of the initial reservoir and injected fluids. These functions coincide, at least qualitatively, with
the experimental data 1] indicating an initial increase in production rate even against a background of falling reservoir
pressure, transition through a maximum, and subsequent decline.
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 77–88, January–February,
1997.
The work was carried out with financial support from the Russian Foundation for Fundamental Research (project No. 96-01-00991). |
