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Wave Propagation and Scattering around a Radially Inhomogeneous Cylindrical Inclusion in a Full Space

The geological structure, such as inclusions, may strongly affect the wave propagation and underground motions during earthquakes. Previous studies mainly focus on geological inclusion with the homogeneous medium. In this paper, the propagation and scattering of incident plane SH waves in and around an inhomogeneous cylindrical inclusion with a radially-varying modulus is studied. In terms of a radial wave function expansion, a rigorous analytical approach is formulated for general computation for the elastodynamic problem. A comprehensive set of numerical examples are presented to illustrate the sensitivity of the underground motion to the rigidity profile of the geological inclusion.