Finite Difference Implicit Structural Modeling of Geological Structures
| Autor: | Julien Renaudeau, Modeste Irakarama, Gautier Laurent, Guillaume Caumon |
|---|---|
| Přispěvatelé: | GeoRessources, 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), Institut des Sciences de la Terre d'Orléans - UMR7327 (ISTO), Bureau de Recherches Géologiques et Minières (BRGM) (BRGM)-Observatoire des Sciences de l'Univers en région Centre (OSUC), Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut national des sciences de l'Univers (INSU - CNRS)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS), Métallogénie - UMR7327, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut national des sciences de l'Univers (INSU - CNRS)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)-Bureau de Recherches Géologiques et Minières (BRGM) (BRGM)-Observatoire des Sciences de l'Univers en région Centre (OSUC), Ecole Nationale Supérieure de Géologie (ENSG), Université de Lorraine (UL), Consortium RING, RING |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Finite differences
[SDU.STU.TE]Sciences of the Universe [physics]/Earth Sciences/Tectonics Discretization Generalization Computer science 0208 environmental biotechnology Finite difference Boundary (topology) 02 engineering and technology 010502 geochemistry & geophysics 01 natural sciences Regularization (mathematics) 020801 environmental engineering Regular grid Interpolation Mathematics (miscellaneous) Operator (computer programming) Implicit modeling General Earth and Planetary Sciences Applied mathematics Structural modeling Regularization operators [SDU.STU.AG]Sciences of the Universe [physics]/Earth Sciences/Applied geology 0105 earth and related environmental sciences Second derivative |
| Zdroj: | Mathematical Geosciences Mathematical Geosciences, Springer Verlag, 2021, 53, pp.785-808. ⟨10.1007/s11004-020-09887-w⟩ |
| ISSN: | 1874-8961 1874-8953 |
| DOI: | 10.1007/s11004-020-09887-w⟩ |
| Popis: | International audience; We introduce a new method for implicit structural modeling. The main developments in this paper are the new regularization operators we propose by extending inherent properties of the classic one-dimensional discrete second derivative operator to higher dimensions. The proposed regularization operators dis-cretize naturally on the Cartesian grid using finite differences, owing to the highly symmetric nature of the Cartesian grid. Furthermore, the proposed regulariza-tion operators do not require any special treatment on boundary nodes, and their generalization to higher dimensions is straightforward. As a result, the proposed method has the advantage of being simple to implement. Numerical examples show that the proposed method is robust and numerically efficient. |
| Databáze: | OpenAIRE |
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