Prise en compte de vitesses de propagation polynomiales dans un code de simulation Galerkine discontinue

Hélène Barucq 1, 2 Julien Diaz 2, 1 Vanessa Mattesi 1, 2
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : The main topic of this internship is the oil exploration. The seismic reflection is the most commonly used method because it furnishes a detailed image of the sub-soil. Even if the principle of the seismic reflection is simple, its use remains rather complex. The oil exploration is made in 3 stages : data acquisition, processing and interpretation. Our work is situated in the stage of treatment and more particularly, we are interested in the wave propagation into the subsurface. Seismic waves are elastic waves, however, in the industrial applications, the problems are not studied first as elastic problems, but as acoustic problems. This is a simplification of the real environment but we remove a very important part of the information from it . We use the Discontinuous Galerkin method to solve numerically this acoustic problem and we shall explain this choice. At present, in this method, speeds are constants by mesh. However, in the case of strongly heterogeneous media, we wonder if polynomial speeds by mesh would better approach the reality than constant ones. My internship will answer this question. My main objectives are, in the first place, to implement polynomial speeds by mesh from a matlab 1D-code which computes the wave propagation (with the Discoutinuous Galerkin method). Secondly, we are going to transpose these implementations into a fortran 2D-code. Finally, we shall test the interest of the method.
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https://hal.inria.fr/hal-01176854
Contributor : Vanessa Mattesi <>
Submitted on : Monday, July 27, 2015 - 10:37:51 AM
Last modification on : Monday, June 17, 2019 - 3:22:44 PM
Long-term archiving on : Wednesday, October 28, 2015 - 10:33:20 AM

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Hélène Barucq, Julien Diaz, Vanessa Mattesi. Prise en compte de vitesses de propagation polynomiales dans un code de simulation Galerkine discontinue. [Stage] INRIA Bordeaux. 2015, pp.57. ⟨hal-01176854v2⟩

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