Dynamic response of a circular pipeline in a poroelastic medium

The focus of this contribution is to develop a semi-analytical method to solve the scattering of wave by a circular pipeline embedded in a poroelastic medium. The harmonic equations for the poroelastic medium are derived in the context of Biot’s theory. Then these equations are solved by reducing to Helmholtz equations that the potentials satisfy. The lining structure can use the elastic material and decouple into two Helmholtz equations. Utilizing the wave function expansion method, the general solutions of Helmholtz equations can be obtained. By using the boundary and continuity conditions between the poroelastic medium and the lining, the unknown coefficients can be determined.