This is Ludovic Métivier's webpage

PRESENTATION

Welcome to my homepage. I am a permanent CNRS researcher in applied mathematics. I work at LJK and ISTerre labs, respectively the Applied Maths lab and Earth Science lab of Univ. Grenoble Alpes, in Grenoble, France. I am an active member of the SIAM, SEG, and EAGE.

My scientific activities focus mainly on full waveform modeling and inversion. I currently lead the high resolution seismic imaging project SEISCOPE together with Romain Brossier.

I am member of the editorial board of Geophysical Journal International as associate editor since 2016.

I am in the scientific committee of Institut des Mathématiques pour la Planète Terre. The purpose of this institute is to foster interactions between mathematicians and scientists from other fields, around themes related to Earth science.

I was awarded a Médaille de Bronze du CNRS in 2019.

CONTACT

• e-mail: ludovic.metivier(at)univ-grenoble-alpes.fr
• mail address 1: LJK, 150 Place du Torrent, Campus de Saint Martin d'Hères, 38401 Domaine Universitaire de Saint-Martin-d'Hères
• mail address 2: Université Grenoble Alpes, ISTerre, CS 40700, 38058 GRENOBLE Cedex 9
• phone: +33 4 57 42 17 67
• Linkedin page

MSIAM LECTURE NOTES AND SLIDES

Below you can find the current version of my lecture notes on geophysical imaging and full waveform inversion. It is a 18 hours course at Master 2 level I am giving in the Applied Mathematics Master MSIAM of Univ. Grenoble Alpes. The course is intended to review the fundamentals of full waveform inversion, with a focus on the mathematical and numerical concepts required to develop and apply this seismic imaging method. We discuss things such as the elastodynamic model, hyperbolic systems, absorbing boundary conditions for wave propagation, numerical scheme for solving wave equations, numerical optimization and local descent algorithms, or adjoint state strategy for gradient computation.

• LECTURE NOTES

I also add the slides of the ongoing sessions for 2025-2026 in the following

• INTRODUCTION
• SLIDE SESSION 4 13/10/2025

And here is a link to a FORTRAN code for 2D VTI elastic wave propagation modeling. The first-order velocity-stress formulation is used. The equations are discretized following a second-order staggered grid finite-differences approach.

VIDEO LECTURES

I was invited in February 2021 to give a 1 hour presentation in the Oberwolfach workshop on Optimal transport in the Natural Sciences. The topic is “Optimal transport for seismic imaging using full waveform inversion”. You can find a video of this presentation here.

In 2018, I also recorded a shorter e-lecture on a similar topic for the EAGE. You can find it here.

CV

Here you can find my CV (French version)

PUBLICATION LIST

Here is a link to my hopefully up-to-date publication list

HDR and PhD

Here you can find my HDR manuscript and my PhD manuscript

OPEN-SOURCE COMPUTER CODES

Here is a link to the SEISCOPE OPTIMIZATION toolbox

Here is a link to TOY2DAC, a frequency-domain 2D acoustic full waveform modeling and inversion software