On an inverse source problem for the Biot's equations in electro-seismic imaging

TL;DR

This paper addresses an inverse source problem in electro-seismic imaging using Biot's equations, providing an explicit reconstruction formula that guarantees uniqueness and stability of the solution.

Contribution

It introduces a novel explicit reconstruction formula for the inverse source problem in electro-seismic imaging based on Biot's equations.

Findings

Explicit reconstruction formula derived

Guarantees uniqueness of the solution

Ensures stability of the reconstruction

Abstract

Electro-seismic imaging is a novel hybrid imaging modality in geophysical exploration. This paper concerns an inverse source problem for Biot's equations that arise in electro-seismic imaging. Using the time reversal method, we derive an explicit reconstruction formula, which immediately gives the uniqueness and stability of the reconstructed solution.