A Slender-Body Theory for a Rigid Pile Under Static or Low-Frequency Axial Loading

If the seabed is modeled as a poroelastic medium, the stresses and pore pressure induced by sea waves attacking pile-supported structures can be approximately treated by a quasi-static, single-phase theory almost everywhere except near the unsealed mudline. Therefore, the theory of a pile in an elastic half-space is fundamental. A survey of literature indicates that existing theories are only numerical; the few analytical formulas are based on either intuitive argument or interpolation of numerical work. A more systematic theory is first developed here for an axially loaded pile by employing slender-body approximation to a pair of integral equations. The results are used to calculate the pore pressure in the seabed around low-frequency loading.