An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves

Eric Bonnetier (1) , Faouzi Triki (2) , Qi Xue (2)

1 IF - Institut Fourier
2 EDP - Equations aux Dérivées Partielles

The electroseismic model describes the coupling phenomenon of the electromagnetic waves and seismic waves in fluid immersed porous rock. Electric parameters have better contrast than elastic parameters while seismic waves provide better resolution because of the short wavelength. The combination of theses two different waves is prominent in oil exploration. Under some assumptions on the physical parameters, we derived a Hölder stability estimate to the inverse problem of recovery of the electric parameters and the coupling coefficient from the knowledge of the fields in a small open domain near the boundary. The proof is based on a Carleman estimate of the electroseismic model.

Mots clés: Hölder stability; Electro-seismic model; Biot's system; Carleman estimate; Inverse problems

Domaines: Equations aux dérivées partielles [math.AP]

Eric Bonnetier, Faouzi Triki, Qi Xue. An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves. Inverse Problems, 2019, 35 (4), pp.045002. ⟨10.1088/1361-6420/ab01aa⟩. ⟨hal-01745454⟩