Creator:

Ali, Adham A. ; Ahmed, Fatima Z.

Contributor:

Jurczak, Paweł - red.

Title:

A Three-Branch Viscoelastic Model for Elastic Wave Propagation in Porous Media with Gas Bubbles

Group publication title:

IJAME, volume 31 (2026)

Subject and Keywords:

porous media ; bubbles ; rheology ; Frenkel-Biot`s waves

Abstract:

This research investigates the propagation of elastic waves in fluid-saturated granular media. On the linear P1-waves, complex rheology is considered, which is impacted by gas bubbles. In Biot`s theory, we used stress-strain relations for the wave, which comprise three branches, including fluid continuum, solid continuum and bubbles inside the fluid. These stress-strain relations are combined with momentum, continuity and bubble dynamics equations to drive the Nikolaevskiy-type equation. In the moving reference system, the equation explains the solid matrix`s velocity. Our investigation into the influence of gas bubbles on wave propagation in a fluid-saturated granular media revealed that the presence of such bubbles significantly reduces wave velocity.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2026

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.59441/ijame/220171

Pages:

1-20

Source:

IJAME, volume 31, number 3 (2026)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego