Modeling and inversion of DC resistivity data : how to cope with topography effects

DC resistivity imaging plays an important role for a wide range of applications related to the characterization of the shallow subsurface. Major developments have been made over the last two decades to improve acquisition systems as well as resistivity inversion. Nevertheless, large-scale data sets still represent a challenging task, in particular with arbitrary topography. In order to better take into account topography, we have developed a new 2.5D/3D tomographic inversion code. Two new formulations for the singularity removal have been proposed. The direct problem is solved in the framework of the Generalized Finite Differences Method, that allows the use of unstructured meshes yielding a fine represention of topography. The inversion code uses the adjoint state method to compute the gradient of the misfit function in a numerically efficient way, giving goodresults on synthetic data. First results on real data have shown the main subsurface structures, as well as several low resistivity zones possibly corresponding to fractured areas.

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Source https://pastel.hal.science/pastel-00796438
Author Penz, Sébastien
Maintainer CCSD
Last Updated May 13, 2026, 18:00 (UTC)
Created May 13, 2026, 18:00 (UTC)
Identifier NNT: 2012ENMP0016
Language fr
Rights https://about.hal.science/hal-authorisation-v1/
contributor Centre de Géosciences (GEOSCIENCES) ; Mines Paris - PSL (École nationale supérieure des mines de Paris) ; Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)
creator Penz, Sébastien
date 2012-12-19T00:00:00
harvest_object_id 3988e399-033a-4d96-874a-9c572e28a571
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-03-31T00:00:00
set_spec type:THESE