Generation of Voronoi Grid Based on Vorticity for Coarse-Scale Modeling of Flow in Heterogeneous Formations |
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Authors: | M Evazi H Mahani |
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Institution: | 1.Department of Chemical and Petroleum Engineering,Sharif University of Technology,Tehran,Iran;2.Shell International Exploration & Production B.V.,Rijswijk,The Netherlands |
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Abstract: | We present a novel unstructured coarse grid generation technique based on vorticity for upscaling two-phase flow in permeable
media. In the technique, the fineness of the gridblocks throughout the domain is determined by vorticity distribution such
that where the larger is the vorticity at a region, the finer are the gridblocks at that region. Vorticity is obtained from
single-phase flow on original fine grid, and is utilized to generate a background grid which stores spacing parameter, and
is used to steer generation of triangular and finally Voronoi grids. This technique is applied to two channelized and heterogeneous
models and two-phase flow simulations are performed on the generated coarse grids and, the results are compared with the ones
of fine scale grid and uniformly gridded coarse models. The results show a close match of unstructured coarse grid flow results
with those of fine grid, and substantial accuracy compared to uniformly gridded coarse grid model. |
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