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Thursday, March 6 • 4:30pm - 6:30pm
Poster: Discontinuous Galerkin method for miscible displacement simulations, Jizhou Li, Rice University

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During the miscible displacement process, a solvent fluid is injected into a porous medium; it mixes with a resident fluid. The fluid mixture moves in the porous medium as a single phase flow, with a velocity that follows Darcy's law. Furthermore, the solvent concentration satisfies a convection-dominated parabolic problem, with a diffusion-dispersion tensor that depends on the fluid velocity in a nonlinear fashion. The fluid pressure equation is coupled with the concentration equation. These essential aspects constitute the miscible displacement problem. This problem arises in many applications, such as production of trapped oil in reservoirs by enhanced oil recovery. The poster will present numerical simulations of miscible displacement by using discontinuous Galerkin method. The high order numerical discretization maintains mass conservation and demonstrates low sensitivity to grid distortions. The numerical method is implemented on the parallel architecture using overlapping domain decomposition. Simulation results show the robustness of the method, as well as efficiency on a parallel cluster.


Jizhou Li

Graduate Student, Rice University
I am PhD student in Computational and Applied Mathematics at Rice University. I am interested in developing efficient and accurate solutions to porous media flow and transport problems, while maintaining a solid theoretical base.

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

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