Computation of elastic wave signals from a line source in a layered medium

Abstract

The need for synthetic seismograms arises in several seismic profiling contexts. This paper outlines a method of computing synthetic seismograms for elastic wave signals from a point or line source with a prescribed time dependence and at a distance h from the surface in a layered medium. Laplace transform is applied to the elastodynamic equation to obtain the velocity functions. Both the Laplace and Fourier transforms were applied to the linear stress-strain relation to derive the displacement functions. Knowing the source function and a model, these displacements and velocity functions can be used to generate theoretical seismograms for modeling with observational records from seismic profiling.