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ORIGINAL PAPER
A Three-Branch Viscoelastic Model for Elastic Wave Propagation in Porous Media with Gas Bubbles
1
Software Department, University of Kirkuk, Iraq
2
Mathematics Department, University of Kirkuk, Iraq
Submission date: 2025-09-14
Final revision date: 2026-01-31
Acceptance date: 2026-03-30
Online publication date: 2026-07-27
KEYWORDS
TOPICS
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.
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