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Communication Dans Un Congrès Année : 2010

Isometric Unfolding of Stratigraphic Grid Units for Accurate Property Populating: Mathematical Concepts

Résumé

In traditional methods used to populate stratigraphic units, the distortions can be very important and affect the setting up of the static and dynamic parameters necessary to the reservoir simulation, hence the simulation results. These distortions result from the mapping between the original curvilinear stratigraphic grid and the intermediate cartesian grid in which the property populating is processed. To minimize the deformation and improve the populating process, we propose a new original isometric unfolding process based on the minimization of the elastic tensor deformation. This method could be applied for every type of deposit: horizontal, parallel to top, parallel to bottom, proportional. Starting from a structural model defined into a coordinate line grid, the user chooses a reference iso-chronological level represented by a triangulated surface. This level can be the top, the bottom or any other characteristic surface of a litho stratigraphic unit. The contacts between this surface and fault surfaces are explicitly extracted as coincident edges. These coincident edges are used to constraint an unfolding process which minimizes the elastic deformation tensor on the whole surface and then, respecting the above constraints, join the fault lips opened by geological tectonic events. To exploit this first 2D Unfolding for volumetric purposes, we use the coordinate line grids as a 3D support and define a complete mapping between the original curvilinear structural grid and its image in the deposition (unfolded) domain. This mapping which expresses the geometrical transformation between the today's world and the depositional period could now be used to transport today's well trajectory stations in the unfolded volume for geostatistical computation and, on the way back, define the geometrical relations needed for upscaling. In this paper we will focus on mathematical concepts of the algorithms used in the whole unfolding process and present some results throw actual case studies.
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hal-00991385 , version 1 (15-05-2014)

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  • HAL Id : hal-00991385 , version 1

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Sébastien Horna, Chakib Bennis, Houman Borouchaki, Christophe Delage, Jean Francois Rainaud. Isometric Unfolding of Stratigraphic Grid Units for Accurate Property Populating: Mathematical Concepts. European Conference on the Mathematics of Oil Recovery, Sep 2010, Oxford, United Kingdom. ⟨hal-00991385⟩
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