Explicit expression for complex velocity of Rayleigh wave in dissipative poroelastic solid

ABSTRACT

This study considers to solve the complex dispersion equation for propagation of Rayleigh waves in a dissipative porous composite. This porous medium is a viscoelastic porous solid frame saturated with a viscous fluid. Seepage of fluid at the boundary is controlled through pore-fluid pressure and its normal gradient. A complex irrational equation governs the propagation, attenuation and dispersion of the Rayleigh waves. A complex analysis technique is used to solve this equation into an explicit expression for complex phase velocity. Effects of porosity and seepage from surface pores are analyzed numerically on the velocity of Rayleigh wave in a saturated poroelastic material.

Keywords:

• Rayleigh wave
• dissipative porous solid
• complex irrational equation
• Privalov problem

Disclosure statement

No potential conflict of interest was reported by the author(s).