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On some multiscale algorithms for sector modeling in multiphase flow in porous media |
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| Authors: | A. Kh. Pergament V. A. Semiletov P. Yu. Tomin |
| Affiliation: | 1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia 2. Moscow State University, Moscow, Russia 3. Moscow Institute of Physics and Technology, Moscow, Russia |
| Abstract: | A multiscale algorithm for a multiphase filtration problem is proposed. Filtration fluxes on a fine grid are determined from the solution of the pressure equation on a coarse grid. Further, the domain is decomposed into subdomains with an acceptable number of cells and the full second boundary condition filtration problem is solved using the fluxes. The support operator method has been improved for a complex structure cell for solution of the pressure equation on a coarse grid. This method is a high resolution one: a divergence operator has the approximation of the second order, while fluxes have the approximation of the first order. At the same time, the method allows revealing the solution’s properties related to a fine grid structure. |
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