Génération de grilles de type volumes finis : Adaptation à un modèle structural, pétrophysique et dynamique

Romain Merland. ( 2013 )
Universit{\'{e}} de Lorraine, ENSG

Abstract

Voronoï grids are generated under constraints to reduce the errors due to cells geoometry during flow simulation in reservoirs. The Voronoï points are optimized by minimizing objective functions relevant to various geometrical constraints. An original feature of this approach is to combine simultaneously the constraints : – Cell quality, by placing the Voronoï points at the cell barycenters. – Local refinement according to a density field ρ, relevant to permeability, velocity or vorticity. – Cell anisotropy according to a matrix field M built with the three principal vectors of the anisotropy, which one is defined by the velocity vector or by the stratigraphic gradient. – Faces orientation according to a matrix field M built with the three vectors orthogonal to the faces, which one is defined by the velocity vector. – Conformity to structural features, faults and horizons. – Voronoï points alignement along well path. The quality of the generated grids are assessed from geometrical criteria and from comparisons of flow simulation results with reference fine grids. Results show geometrical improvements, that are not necessarily followed by flow simulation results improvements.

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BibTeX Reference

@PHDTHESIS{merland_phd2013,
    author = { Merland, Romain },
     title = { Génération de grilles de type volumes finis : Adaptation à un modèle structural, pétrophysique et dynamique },
      year = { 2013 },
    school = { Universit{\'{e}} de Lorraine, ENSG },
  abstract = { Voronoï grids are generated under constraints to reduce the errors due to cells geoometry during flow simulation in reservoirs. The Voronoï points are optimized by minimizing objective functions relevant to various geometrical constraints. An original feature of this approach is to combine simultaneously the constraints : – Cell quality, by placing the Voronoï points at the cell barycenters. – Local refinement according to a density field ρ, relevant to permeability, velocity or vorticity. – Cell anisotropy according to a matrix field M built with the three principal vectors of the anisotropy, which one is defined by the velocity vector or by the stratigraphic gradient. – Faces orientation according to a matrix field M built with the three vectors orthogonal to the faces, which one is defined by the velocity vector. – Conformity to structural features, faults and horizons. – Voronoï points alignement along well path. The quality of the generated grids are assessed from geometrical criteria and from comparisons of flow simulation results with reference fine grids. Results show geometrical improvements, that are not necessarily followed by flow simulation results improvements. }
}