### Tube wave analysis of buried pipes

#### Abstract

Acoustic wave propagation of wire-break related events (WRE) in fluid-filled prestressed concrete cylinder pipes (PCCP) are of interest in non-destructive pipe detection. The mathematical model is developed based on Navier's equation of motion for the acoustic wave propagation. Newton's law of motion in equilibrium is used to model fluid-structure interaction. The analysis of acoustic pressure effect on pipe structure is developed by the principle of virtual work. To understand the characteristics of WRE vibration and the impact of path on the vibration signal, the dispersion behaviour of wave propagation is analyzed for various pipe profiles. It is observed that the speed of waves traveling in the fluid surrounded by the finite stiffness pipe profile is lower than the actual speed of acoustic waves of WRE signal in the unbounded fluid or fluid surrounded by infinite stiffness medium. Finite-element based software is used to simulate the results, which are compared with the available theoretical solutions.

#### Keywords

Acoustic wave propagation; Acoustic waves; Equations of motion; Fluid structure interaction; Fluids; Mathematical models; Pressure effects; Prestressed concrete; Stiffness; Underwater acoustics; Acoustic pressures; Buried pipes; Finite-element; Fluid-filled; Model fluids; Navier's equations; Newton's Laws; Non destructive; Pipe detection; Pipe structure; Prestressed concrete cylinder pipes; Principle of virtual work; Theoretical solutions; Unbounded fluid; Vibration signal; Wave analysis

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