Transient Anomaly Imaging in Visco-Elastic Media Obeying a Frequency Power-Law

TL;DR

This paper develops methods to detect small anomalies in viscoelastic media by extending classical imaging techniques to account for frequency-dependent viscous effects modeled by Szabo's approach.

Contribution

It generalizes existing imaging procedures like time reversal and Kirchhoff imaging to viscoelastic media using Szabo's model, enabling anomaly detection in more realistic materials.

Findings

Successfully extended imaging methods to viscoelastic media

Demonstrated the effectiveness of the generalized procedures

Provided a framework for anomaly reconstruction in complex media

Abstract

In this work, we consider the problem of reconstructing a small anomaly in a viscoelastic medium from wave-field measurements. We choose Szabo's model to describe the viscoelastic properties of the medium. Expressing the ideal elastic field without any viscous effect in terms of the measured field in a viscous medium, we generalize the imaging procedures, such as time reversal, Kirchhoff Imaging and Back propagation, for an ideal medium to detect an anomaly in a visco-elastic medium from wave-field measurements.