Year: 2025
Type: article
Abstract: SUMMARY For the interpretation of spectral induced polarization spectra, the determination of the relaxation time distributions (RTD) can be useful, for instance to extract the grain size distribution. However, this is an ill-posed problem, and retrieving the RTD often requires regularization during the inversion process. In this note, we use Bézier curves and simulated annealing to determine the RTD. The procedure that does not require any regularization nor smoothing, by reducing the number of parameters thanks to Bézier curves which are intrinsically continuous and infinitely derivable. We successfully applied our methodology to three examples (Cole–Cole model, Davidson–Cole model, and an experimental spectrum), demonstrating its interest and efficiency.
DOI: 10.1093/gji/ggaf421
Institutions: Centre National de la Recherche Scientifique, Université Paris Sciences et Lettres, École Normale Supérieure - PSL, Laboratoire de Géologie de l’École Normale Supérieure, École Pratique des Hautes Études, Sorbonne Université, Milieux environnementaux, transferts et interactions dans les hydrosystèmes et les sols, Unité de Modélisation Mathématique et Informatique des Systèmes Complexes, Institut de Recherche pour le Développement
Language: English
Subfield: Geophysics
Field: Earth and Planetary Sciences
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,416
OpenAlex ID: W4415458237