An algorithm for calculating a general down-hole synthetic seismogram

Abstract

A general purpose time domain algorithm is provided for the calculation of down-hole zero offset synthetic seismograms. Unlike previous vertical synthetic seismograms, the algorithm allows both source and receiver to be arbitrarily located in a borehole, and can therefore, be used to model the results obtained by various recently developed acoustic well log or vertical seismic data gathering techniques, including the Yo?Yo arrangement. As it is developed from a solution of Robinson's model with appropriate boundary and initial conditions, the algorithm provides information about variations in the source impulse due to transmission losses and also the properties of multiple reflections. A program based On the ARMA and LAT-TICE filter structures which improve the efficiency of the calculation. The program allows the use of a flexible source wavelet which can easily be designed by the user. In addition, because its the program can be used on personal computers.