Connecting Corner-Point and Centroidal Voronoi Grids for Reservoir Simulation: principles and first results.

Gaelle Dufour and Romain Merland and Guillaume Caumon. ( 2013 )
in: Proc. 33rd Gocad Meeting, Nancy

Abstract

We report on our progresses to generate 3D hybrid reservoir grids made of Voronoi modules connected to a curvilinear background grid elsewhere. From an input corner-point grid, the regions to include in unstructured parts are first identified, and their cells are inactivated. The Voronoi modules are then built from randomly created cells whose position is optimized by minimizing an objective function defined as the weighted sum of several constraints: refinement, orientation, shape, conformity to wells and conformity to geological features. The key-step is to connect the hexahedral and polyhedral cells. This is achieved by constraining the geometry of unstructured cells at the vicinity of structured parts. At this point, the method is able to connect the unstructured grid to regular Cartesian geometries. However, it still fails for general corner-point geometries because of small unconformities bewteen the two meshes. We suggest further work is still needed to tag and connect faces beween the Voronoi and Regular corner point grid.

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BibTeX Reference

@INPROCEEDINGS{DufourGM2013,
    author = { Dufour, Gaelle and Merland, Romain and Caumon, Guillaume },
     title = { Connecting Corner-Point and Centroidal Voronoi Grids for Reservoir Simulation: principles and first results. },
 booktitle = { Proc. 33rd Gocad Meeting, Nancy },
      year = { 2013 },
  abstract = { We report on our progresses to generate 3D hybrid reservoir grids made of Voronoi modules connected to a curvilinear background grid elsewhere. From an input corner-point grid, the regions to include in unstructured parts are first identified, and their cells are inactivated. The Voronoi modules are then built from randomly created cells whose position is optimized by minimizing an objective function defined as the weighted sum of several constraints: refinement, orientation, shape, conformity to wells and conformity to geological features. The key-step is to connect the hexahedral and polyhedral cells. This is achieved by constraining the geometry of unstructured cells at the vicinity of structured parts. At this point, the method is able to connect the unstructured grid to regular Cartesian geometries. However, it still fails for general corner-point geometries because of small unconformities bewteen the two meshes. We suggest further work is still needed to tag and connect faces beween the Voronoi and Regular corner point grid. }
}