Acoustic Waves in Layered Media - From Theory to Seismic Applications

Stovas, Alexey; Roganov, Yury

doi:10.5772/19808

Cited by 7 publications

(1 citation statement)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Equation 3can be considered to be equivalent to approximating the effective medium as a series of "layers" of monodisperse bubbles. As a result, the HL approximation resembles propagation of a wave through layered media 27,28 where much work has been done in both quantum mechanics, optics and geophysics. More specifically, periodic-layered media has been studied extensively and this framework is adopted initially to analyse the HL approximation proposed above.…”

Section: A Preliminariesmentioning

confidence: 99%

Ultrasound propagation through dilute polydisperse microbubble suspensions

Ovenden

O’Brien

Stride

2017

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

In a fully nonlinear model of wave propagation through bubbly media, computational complexity arises when the medium contains a polydisperse bubble population. This is because a nonlinear ordinary differential equation governing the bubble response must be solved for the current radius of each bubble size present at every spatial location and at every time step. In biomedical ultrasound imaging, commercial contrast agents typically possess a wide range of bubble sizes that exhibit a variety of differing behaviours at ultrasound frequencies of clinical interest. Despite the advent of supercomputing resources, the simulation of ultrasound propagation through microbubble populations still represents a formidable numerical task. Consequently, efficient computational algorithms that have the potential to be implemented in real time on clinical scanners remain highly desirable. In this work, a numerical approach is investigated that computes only a single ordinary differential equation at each spatial location which can potentially reduce significantly the computational effort. It is demonstrated that, under certain parameter regimes, the approach replicates the fully nonlinear model of an incident ultrasound pulse propagating through a polydisperse population of bubbles with a high degree of accuracy.

show abstract

Section: A Preliminariesmentioning

confidence: 99%