The solution of Cagniard's problem for an SH line source in elastic and anelastic media, calculated using ω - k integrals

Computations have been performed using an improper ω - k double integral representing the response to an SH pulse generated by a line source, acting in a model consisting of 2 homogeneous isotropic elastic or linear viscoelastic half-spaces separated by a plane boundary. The advantage of this method is its universality: complete seismograms for relevant time and frequency windows are produced by the program. The calculated synthetic seismograms are accurate enough even for a small number of frequencies and compare well with exact results for elastic models obtained using Cagniard's method. For the simple models of 2 anelastic or 1 elastic and 1 anelastic half-space in welded contact considered here, all the arrivals that are predicted by elasticity theory, including the incident, reflected, head, transmitted, and evanescent waves, are present. -from Authors