Scattering of elastic waves by inclusions or local topography in elastic half-spaces has been an important research topic in the fields of seismology, geotechnical engineering and acoustics. Analysis of the response and potential damage to underground structures under different kinds of loadings, especially strong earthquakes, is of great importance for the design and construction of deep underground tunnels.
The propagation and scattering of elastic waves around underground tunnels located under the surface of an infinite half-space have recently been studied using two methods: analytical method and numerical method.
The analytical method mainly focuses on the models of regular shape embedded in an infinite half-space. Although this method is only suitable for relatively simple and regular models, it has an advantage over the numerical method in revealing the essence of problems.
Ri Song Chol, a section head at the Faculty of Mechanical Science and Technology, investigated the influence factors on the dynamic response of a lined tunnel embedded in an inhomogeneous half-space under the conditions of incident SH waves.
He derived an analytical solution for the scattering of plane SH waves by a lined tunnel embedded in an inhomogeneous half-space by employing the complex function method and the conformal mapping technique. The analysis focuses on the treatment of straight and circular boundaries by proper coordinate transformation and by the conversion of the physical plane to the corresponding image plane.
For more information, you can refer to his paper “Analysis of the Influence Factors on the Dynamic Response of a Lined Tunnel Embedded in an Inhomogeneous Half-Space Subjected to SH Waves” in “Russian Journal of Nondestructive Testing” (SCI).