MODELING OF TWO-PHASE FLOW IN POROUS MEDIA BY MIXED-HYBRID FINITE-ELEMENT METHOD

Document Type : Article

Authors

Dept. of Mechanical University Sharif University of Technology

Abstract

In this paper, two-phase ow equations in porous media were solved by the mixed-hybrid finite-element method. By using the definition of global pressure and global velocity, the governing equations were changed to a simpler numerical form. Consequently, the obtained pressure and saturation equations have less dependence on each other and the velocity appears in the saturation equation expilicitly. The Hybrid method solves the pressure and velocity equations simultaneously. Therefore, the velocity and pressure fields have the same order of accuracy. In this work, the saturation equation was also discretized, by the hybrid method. The above method was used in one and two-dimensional test cases. Results show that predicted parameters, especially in coarse grids, are closer to the exact solution, in comparison with other methods.

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