Numerical modeling of floating potentials in electrokinetic problems using an asymptotic method

Damien Voyer (1) , Sergio Corridore (2) , Annabelle Collin (2) , Riccardo Scorretti (3) , Clair Poignard (4, 2)

1 EIGSI - EIGSI La Rochelle
2 MONC - Modélisation Mathématique pour l'Oncologie
3 BioIng - Ampère, Département Bioingénierie
4 IMB - Institut de Mathématiques de Bordeaux

Floating potentials appear in electrokinetic problems when isolated high conductive materials are included in a dielectric or weakly conductive ambient medium. The large contrast of conductivities generates numerical issues that make hard the computation of the electric potential. The paper proposes a rigorous numerical method to tackle such kind of problems. Interestingly, a correction to the case of perfect conductor is given in order to improve the accuracy of the computation. The method involves a cascade of two elementary problems set respectively in the ambient medium and in the high conductive inclusions. An example is proposed with a 4-electrode system designed to both induce electroporation in a biological tissue sample and measure the resulting impedance. The approach is extended to a nonlinear problem by taking advantage of the iterative scheme that is necessarily applied in this case.

Mots clés: Nonlinear problem; 4-electrode system; Floating potential; Asymptotic method

Domaines: Energie électrique

Damien Voyer, Sergio Corridore, Annabelle Collin, Riccardo Scorretti, Clair Poignard. Numerical modeling of floating potentials in electrokinetic problems using an asymptotic method. IEEE Transactions on Magnetics, 2020, ⟨10.1109/TMAG.2019.2951942⟩. ⟨hal-02467851⟩