The Transition Matrix Formalism for the Scattering of a Buried Pipeline in an Elastic-Half Space

摘要

It is investigated in this paper on the transition matrix formulation for the analysis of responses of an elastic half-space with a buried pipeline subjected to obliquely incident waves.The basis functions are constructed using the moving P-,SV-,and SH-wave source potentials to represent the scattered and refracted wave fields in a series form.The associated T-matrix expression of the elastic inclusion is derived using Betti's third identity.Typical numerical results by obliquely incident plane waves are obtained for verification purpose.