Jerome FehrenbachIMT, Toulouse
Le 3 avr. 2025
Titre :
Inverse problem in Zircon crystal formation.
Résumé :
Trace element concentrations in zircon crystals that grow in cooling magmas record the temperature evolution in a magmatic system on timescales of decades to million years. We propose an algorithm for the solution of inverse problem that allows reconstruction of temperature variation with time by minimization of the misfit between calculated and measured trace element concentrations. The solution of the variational problem is obtained using the derivation of the tangent model to the crystal formation model, namely a one-phase Stefan problem.
Joint work with Oleg Melnik (Oxford).
