Modélisation et simulation numérique pour la migration terrestre par équation d'ondes.

Caroline Baldassari 1, 2
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : We analyse the use of the Interior Penalty Discontinuous Galerkin method (IPDGM) when applied to land migration by wave equation. The key step to obtain subsurface images is the resolution of the direct problem and we propose to solve it using a finite element method (FEM) based on tetrahedra. This method is particularly well adapted to the terrestrial migration since we have to take into account the strongly bumped topography of the site. The analysis of the performance of the chosen FEM allows to conclude that it outperforms the finite difference methods that are traditionally used for the Reverse Time Migration (RTM). In addition, it shows that it is as accurate as the spectral element method which is the most popular one among the geophysical community. We present numerical results to illustrate the potential of the proposed solution methodology for imaging complex regions. Last, we propose a new time discretisation based on the local time-stepping strategy. This method permits to combine different order in time and in space. Preliminarly results we obtained in 1D are very promising. The 2D case is in progress.
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Submitted on : Tuesday, April 13, 2010 - 11:56:00 AM
Last modification on : Sunday, April 7, 2019 - 3:00:03 PM
Long-term archiving on : Friday, October 19, 2012 - 1:51:10 PM

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Caroline Baldassari. Modélisation et simulation numérique pour la migration terrestre par équation d'ondes.. Mathématiques [math]. Université de Pau et des Pays de l'Adour, 2009. Français. ⟨tel-00472810⟩

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