Wave scattering by a buried cavity in an unsaturated porous half-space

Abstract

This study presents an analytical solution for plane wave scattering by a cylindrical cavity in an unsaturated porous medium half-space, employing the wave function expansion method and the Hankel function integral transformation approach. The key contribution lies in effectively addressing the orthogonality of the boundary conditions between the half-space surface and the cavity surface using the Hankel function integral transformation, thereby accurately deriving analytical solutions for the surface displacement and stress around the cavity in the half-space of unsaturated porous media. This study investigates the effects of medium saturation, incident wave characteristics, and cavity burial depth on surface displacement and stress distribution, providing valuable insights for related analytical and engineering applications.