Abstract
The diffusion-controlled swelling of reservoir oil, when the oil is indirectly contacted by an injection gas such as CO 2 by diffusion through a water barrier film, is presented. The solutions are based on the method of the variable powered profile to describe the distribution of CO 2 in the oil and water phases. This technique greatly reduces the mathematical complexity of the moving boundary problem which is represented by a system of coupled partial differential governing equations, to a system of coupled ordinary differential equations. The present solution is compared with the numerical solution for CO 2 diffusion into an oil phase through a diminishing water barrier. This study demonstrates that the water-blocking phase produces the major mass transfer resistance. The increase in time for the oil phase to saturate with CO 2 is highly non-linear. It increases rapidly with increasing water phase thickness.
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