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

TL;DR

This paper establishes a stability estimate for an inverse problem in electroseismic modeling, enabling the recovery of electric parameters and coupling coefficients from boundary measurements, with applications in oil exploration.

Contribution

It provides a new H"older stability estimate for the inverse problem in electroseismic models using Carleman estimates, under specific physical assumptions.

Findings

Derived a H"older stability estimate for the inverse problem

Proved the stability estimate using Carleman inequalities

Applicable to boundary measurements near the domain boundary

Abstract

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 H\"older 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.