Dynamic Interaction Between Two Fluid Filled Circular Pipelines in Saturated Poroelastic Medium Subjected to Harmonic Waves

Abstract

A semianalytical method is developed to investigate the dynamic interaction of two fluidfilled circular pipelines in a porous elastic fluidsaturated medium subjected to harmonic plane waves. The harmonic equations based on Biot's theory are reduced by Helmholtz decomposition theorem. The potentials in the fluidsaturated medium, in the linings, and inside the pipelines are expressed by wave function expansion method. The addition theorem for cylindrical wave functions is employed to obtain the closedform solution in the form of infinite series. The hoop stress amplitudes around the pipelines are evaluated and discussed for the representative values of parameters characterizing the model. The effects of the proximity of two pipelines, the geometrical and material properties of linings, and the incident wave frequency on the dynamic stress around the pipelines are examined.