HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Finite Difference Implicit Structural Modeling of Geological Structures

Abstract : 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.
Complete list of metadata

Cited literature [44 references]  Display  Hide  Download

Contributor : Guillaume Caumon Connect in order to contact the contributor
Submitted on : Tuesday, September 29, 2020 - 6:55:43 PM
Last modification on : Tuesday, May 10, 2022 - 3:25:01 PM
Long-term archiving on: : Wednesday, December 30, 2020 - 7:14:15 PM


Files produced by the author(s)



Modeste Irakarama, Gautier Laurent, Julien Renaudeau, Guillaume Caumon. Finite Difference Implicit Structural Modeling of Geological Structures. Mathematical Geosciences, Springer Verlag, 2021, 53, pp.785-808. ⟨10.1007/s11004-020-09887-w⟩. ⟨hal-02953073⟩



Record views


Files downloads