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Paramétrisation 3D de l'espace en géologie sédimentaire : le modèle GeoChron

Abstract : Reservoir modelling requires building a volumic mesh usually adapted to faults and horizons of the domain, on which petrophysical property models are computed. The common practice consists in using stratigraphic curvilinear grids formed of hexahedral cells whose indexes (i, j, k) constitute a sampling of a " 3D parametric function (u, v,t) where (u, v) correspond to the "paleo-geographic" coordinates tangent to the horizons and (t), viewed as an analog to the geological age of the terrains, is approximately orthogonal to the horizons. These grids are suited to the property-modelling geostatistical algorithms but their topological regularity induces errors or approximations in complex fault networks or folded environments. The GeoChron model corrects these drawbacks by clearly segragating the geometry of the domain of study (modelled by an unstructured tetrahedralised mesh), the link between this geometry and the geometry of the layers at the time or deposition (thanks to a 3D parametric function (u,v,t)) and the property model (computed in a regular fine-scaled grid). After exposing the mathematical framework of this model which emphasises the similarity with time stratigraphic (or Wheeler) diagrams used in sedimentology, we show two practical ways of building such a parameterisation and their implementation in the GOCAD geomodelling software. Then we show how the (t) component of the parametric function can be used to automatically compute a geometric estimate of the throw vector in any point of a fault surface. Finally, we present Borne applications concerning petrophysical property modelling, deformation estimation or seismic data integration.
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Rémi Moyen. Paramétrisation 3D de l'espace en géologie sédimentaire : le modèle GeoChron. Sciences de la Terre. Institut National Polytechnique de Lorraine, 2005. Français. ⟨NNT : 2005INPL047N⟩. ⟨tel-01749683⟩



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