COMPUTATION OF ELASTIC WAVE SIGNALS FROM A LINE SOURCE IN A LAYERED MEDIUM

Edward O. Osagie

Benson Idahosa University, Faculty of Science, Department of Physical Sciences, Benin City, Edo State

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.