Scattering of Elastic Waves by a Buried Tunnel Under Obliquely Incident Waves Using T Matrix

Abstract

This paper first studies the transition matrix formulation for the analysis of responses of an elastic halfspace with a buried tunnel subjected to obliquely incident waves. The basis functions are constructed using the moving P-, SV-, and SH-wave source potentials and to represent the scattered and refracted wave fields in series forms. The associated T-matrix expression of elastic inclusion is derived using Betti's third identity. Second, this study proposes a technique for calculating the integral representation of basis functions in the wave-number domain using the method of steepest descent. Finally, typical numerical results obtained under incident plane waves are presented for verification.

Oblique rayleigh wave scattering by a cylindrical cavity

“…In [17] an integral equation formulation was used to study the motion of the ground near a cavity and the stresses on the cavity wall and in [18] oblique incidence on a submerged, lined, cavity using a T-matrix formalism was considered. In neither case was any attempt made to study the far field.…”

Investigation of acoustic waves behavior of an underground tunnel in a multilayer soil

“…They demonstrated that the soil-structure interaction impacted the sound pressure field above the ground surface. Liao et al 6 analyzed the acoustic waves scattering by a buried tunnel applying the transition matrix (T-matrix) theory considering an oblique propagation of the incident wave to illustrate the scattered and refracted wave fields in series forms.…”