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A PARAMETRIC APPROACH TO THE COMPRESSION OF SEISMIC SIGNALS BY FREQUENCY TRANSFORMATION *
Author(s) -
BERESFORDSMITH G.,
MASON I. M.
Publication year - 1980
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1980.tb01242.x
Subject(s) - geophone , classification of discontinuities , dispersion (optics) , polynomial , transformation (genetics) , parametric statistics , geology , frequency domain , signal (programming language) , mathematics , mathematical analysis , computer science , seismology , physics , optics , statistics , biochemistry , chemistry , gene , programming language
A bstract The compression of seismic signals which have propagated through a dispersive medium can be achieved by a frequency‐domain transformation. This transformation is formally related to the dispersion characteristic of the medium and is independent of phase and group velocities. By defining a suitable cost‐function to measure the degree of dispersion of a time‐ signal, an iterative technique can be employed to find that transformation which gives minimum dispersion. In this paper, we assume that the inverse of the dispersion characteristic can be adequately approximated by a finite polynomial in the region of maximum signal energy density. The coefficients of this polynomial are the parameters of dispersion of the medium. These parameters can be estimated both in the presence of noise and in the case of signals made up of multiple arrivals. The techniques developed in this paper are applied to seismic signals which have been recorded underground by a set of geophones designed to detect and map discontinuities in coal‐seams. Results of dispersion estimation and signal compression are discussed for data collected in the Blackshale seam, Pye Hill Colliery, near Derby, in the United Kingdom.