Dynamic interaction between a partially corroded pipeline and saturated poroelastic medium under plane waves

A fundamentally based mathematical model of a partially corroded pipeline in a saturated poroelastic medium is presented, and the dynamic interaction around the pipeline under plane waves is derived. Based on Biot's poroelastic theory, the dynamic governing equations of the saturated poroelastic medium are decomposed. The wave fields around the corroded pipeline are expanded by using the wave function expansion method. The loose poroelastic medium in the corroded areas is simulated by the spring-type medium, and the thickness of pipeline is small. By introducing the different boundary conditions in the corroded and perfect areas, the expanded coefficients are solved. Through numerical examples, the jump of dynamic stress resulting from the corroded area under different wave frequencies is examined in detail.