Finite Difference Implicit Modeling of Geological Structures

in: 80th EAGE Conference and Exhibition 2018, EAGE

Abstract

We introduce a new method for implicit structural modeling. The method belongs to the Discrete Smooth Interpolation class of methods. We exploit the highly symmetric nature of Cartesian grids to propose new regularization operators that discretize very naturally on the Cartesian grid using finite differences: these operators do not have to be defined on boundary nodes, and their generalization to higher dimensions is straightforward. Numerical examples show that the proposed method is both robust and numerically efficient.

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BibTeX Reference

@inproceedings{irakarama:hal-04068916,
 abstract = {We introduce a new method for implicit structural modeling. The method belongs to the Discrete Smooth Interpolation class of methods. We exploit the highly symmetric nature of Cartesian grids to propose new regularization operators that discretize very naturally on the Cartesian grid using finite differences: these operators do not have to be defined on boundary nodes, and their generalization to higher dimensions is straightforward. Numerical examples show that the proposed method is both robust and numerically efficient.},
 address = {Copenhagen, Denmark},
 author = {Irakarama, Modeste and Laurent, Gautier and Renaudeau, Julien and Caumon, Guillaume},
 booktitle = {{80th EAGE Conference and Exhibition 2018}},
 doi = {10.3997/2214-4609.201800794},
 hal_id = {hal-04068916},
 hal_version = {v1},
 month = {June},
 organization = {{EAGE}},
 title = {{Finite Difference Implicit Modeling of Geological Structures}},
 url = {https://hal.univ-lorraine.fr/hal-04068916},
 year = {2018}
}