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3D Hybrid Mesh Generation for Reservoir Flow Simulation

Flandrin, N., H. Borouchaki and C. Bennis

Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.133-144, September 19-22 2004


13th International Meshing Roundtable
Willimasburg, Virginia, USA
September 19-22, 2004

N. Flandrin and C. Bennis
Institut Francais du Petrole, 1 & 4 avenue de Bois Preau, 92852 Rueil-Malmaison Cedex, France.,

H. Borouchaki
Universite de Technologie de Troyes, 12 rue Marie Curie, BP 2060, 10010 Troyes Cedex, France.

A great challenge for flow simulators of new generation is to gain more accuracy at well proximity within complex geological structures. For this purpose, a new approach based on hybrid mesh modeling was proposed in 2D in [1]. In this hybrid mesh, the reservoir is described by a structured quadrilateral mesh and drainage areas around wells are represented by radial circular meshes. In order to generate a global conforming mesh, unstructured transition meshes constituted by convex polygonal elements satisfying finite volume properties are used to connect together these two structured meshes. Thus, the resulting mesh allows us to take full advantages of simplicity and practical aspects of structured meshes while complexity inherent to unstructured meshes is introduced only where strictly needed. This paper presents the 3D extension of the generation of such a hybrid mesh [2]. The proposed method uses 3D power diagrams to generate the transition mesh. Due to the round off errors, this mesh is modified in order to ensure the conformity with the structured meshes. In addition, some criteria are introduced to measure the mesh quality, as well as an optimization procedure to remove and to expand small edges of the transition mesh under finite volume properties constraints. Numerical results are given to show the efficiency of the approach.

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