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Conference Papers Year : 2004

3D-Parameterization of the 3D Geological Space – The GeoChron Model


One of the key points in reservoir modeling is the building of a complex 3D-mesh, which must integrate various constraints: respecting the geometry of the fault network, taking into account stratigraphic knowledge, computing petrophysical properties by geostatistical methods, allowing upscaling and/or flow simulation… The building of this mesh relies on the use of a parametric coordinate system (u,v,t) such that (u,v) corresponds to “horizontal” curvilinear coordinates tangent to the horizons while (t) corresponds to the “vertical” curvilinear axis approximately orthogonal to the horizons. So far, common practice consists in covering the geological domain with a “regular structured stratigraphic grid” with hexahedral cells and then to use the (i,j,k) indexes of the nodes of these cells as a sampling of the (u,v,t) coordinates. This kind of structured mesh is necessary to geostatistics, and to a lesser point flow simulation, which rely heavily on the implicit structure of the mesh to define neighborhoods and relationships between cells. However, such a regular grid may lead to errors or approximation, for example when trying to model complex faults networks or heavily folded horizons in such a way that edges' cells never cross these structural surfaces. In this article, we propose a completely new approach based on the recently introduced “GeoChron” model where the (u,v,t) parameterization of the geological space is computed independently of any stratigraphic grid. This approach allows a consistent 3D-parameterization to be built whatever the complexity of the fault network, using only a tetrahedral mesh respecting the faults. Stratigraphic data, such as unconformity or sedimentation styles, can be taken into account in the construction of such a parameterization. The main benefit of such a parameterization of the 3D geological space is to allow past, present and future geostatistical methods to be implemented in the (u,v,t) parametric space without using any stratigraphic grid. As a consequence, it is then possible to populate polyhedral grids with the petrophysical properties computed in the parametric space.
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hal-04056065 , version 1 (03-04-2023)



Rémi Moyen, Jean-Laurent Mallet, Tobias Frank, Bruno Leflon, Jean-Jacques Royer. 3D-Parameterization of the 3D Geological Space – The GeoChron Model. ECMOR IX - 9th European Conference on the Mathematics of Oil Recovery, 2004, Cannes, France. ⟨10.3997/2214-4609-pdb.9.A004⟩. ⟨hal-04056065⟩
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