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Thursday, March 6 • 4:30pm - 6:30pm
Poster: Solution of the black-oil problem by discontinuous Galerkin methods, Richard Rankin, Rice University

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Black-oil is a commonly used model for simulating compressible flow of a water-gas-oil system in reservoirs. It is an example of a three-component three-phase flow. The phases are liquid, vapor and aqueous and the components are oil, gas and water. In this model, the gas component can exist in both the liquid and vapor phases. The water component only exists in the aqueous phase and the oil component only exists in the liquid phase. Consequently, the aqueous phase does not exchange mass with the liquid or vapor phases but the liquid and vapor phases can exchange mass. For the black-oil problem, we choose for primary unknowns the pressure of the liquid phase, the saturation of the aqueous phase and the saturation of the vapor phase. The saturation of the liquid phase can be obtained from the saturations of the other two phases by using the fact that the sum of the saturations of the three phases must equal one. The spatial discretization is based on the interior penalty discontinuous Galerkin method. At each time step, the equations for the primary unknowns are solved sequentially but each equation remains nonlinear with respect to its primary unknown. In several numerical examples we test the robustness of the method by varying the physical input data.


Thursday March 6, 2014 4:30pm - 6:30pm
BRC Exhibit Hall Rice University 6500 Main Street at University, Houston, TX 77030

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