R\'egularisation et optimisation pour l'imagerie sismique des fondations de pyl\^ones

TL;DR

This paper compares various seismic imaging methods for underground foundation mapping of transmission lines, focusing on bilinear and primal formulations, using synthetic data to evaluate their performance.

Contribution

It introduces and compares different bilinear and primal formulation methods for seismic imaging of transmission line foundations.

Findings

Performance varies between methods depending on data and scenario

Bilinear methods show promise for improved resolution

Synthetic data experiments validate the approaches

Abstract

This research report summarizes the progress of work carried out jointly by the IRCCyN and the \'Ecole Polytechnique de Montr\'eal about the resolution of the inverse problem for the seismic imaging of transmission overhead line structure foundations. Several methods aimed at mapping the underground medium are considered. More particularly, we focus on methods based on a bilinear formulation of the forward problem on one hand (CSI, modified gradient, etc.) and on methods based on a "primal" formulation on the other hand. The performances of these methods are compared using synthetic data. This work was partially funded by RTE (R\'eseau de Transport d'\'Electricit\'e), which has initiated the project, and was carried out in collaboration with EDF R&D (\'Electricit\'e de France - Recherche et D\'eveloppement).