Further developments in the wavelet theory of seismogram structure*

Abstract

In this paper the wavelet theory of seismogram structure previously proposed by the author has been extended to obtain the form of the seismic disturbance (due to a sharp seismic pulse) at various distances from the source. The solution of Stokes's differential equation is given in the form of a series of wavelet functions, and calculated seismograms are presented to show the manner in which the shape, breadth, and amplitude of the disturbance vary with the distance from the source. Tables are given of the wavelet functions and wavelet-form functions used in the calculations.