Disturbance due to a Line Source in a Semi-infinite Transversely Isotropic Elastic Medium

The disturbance due to a buried line source in a homogeneous elastic half space with hexagonal elastic symmetry is investigated using a combination of Fourier and Laplace transform technique. Following Cagniard's method a series of transformations is used to render the intergrals invertible by inspection. The case of an impulsive line source in considered in detail. Exact closed algebraic expressions for the surface displacements as functions of time and horizontal distance valid for all epicentral distances are obtained.