Modeling Channel Forms and Related Sedimentary Objects Using a Boundary Representation Based on Non-uniform Rational B-Splines

Autor: Guillaume Caumon, Jeremy Ruiu, Sophie Viseur
Přispěvatelé: GeoRessources, Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Centre de recherches sur la géologie des matières premières minérales et énergétiques (CREGU)-Institut national des sciences de l'Univers (INSU - CNRS), Université de Provence - Aix-Marseille 1, Consortium RING-GOCAD, Institut national des sciences de l'Univers (INSU - CNRS)-Centre de recherches sur la géologie des matières premières minérales et énergétiques (CREGU)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Mathematical Geosciences
Mathematical Geosciences, Springer Verlag, 2016, 48 (3), pp.259-284. ⟨10.1007/s11004-015-9629-3⟩
Mathematical Geosciences, 2016, 48 (3), pp.259-284. ⟨10.1007/s11004-015-9629-3⟩
ISSN: 1874-8961
1874-8953
DOI: 10.1007/s11004-015-9629-3⟩
Popis: International audience; In this paper, we aim at providing a flexible and compact volumetric object model capable of representing many sedimentary structures at different scales. Geo-bodies are defined by a boundary representation; each bounding surface is constructed as a parametric deformable surface. We propose a three-dimensional sedimentary object with a compact parametrization which allows for representing various geometries and provides a curvilinear framework for modeling internal heterogeneities. This representation is based on Non Uniform Rational B-Splines (NURBS) smoothly interpolate between a set of points. The three-dimensional models of geobodies are generated using a small number of parameters, and hence can be easily modified. This can be done by a point and click user interactions for manual editing or by a Monte-Carlo sampling for stochastic simulation. Each elementary shape is controlled by deformation rules and has connection constraints with associated objects, in order to maintain the geometry and the consistency through editing. The boundary representations of the different sedimentary structures are used to construct hexahedral conformal grids in order to perform petrophysical property simulations following the particular three-dimensional parametric space of each object. Finally these properties can be upscaled, according to erosion rules, to a global grid that represents the global depositional environment.
Databáze: OpenAIRE