DOI: 10.5593/SGEM2016/B21/S07.046


V. Zaytsev,T. Burnysheva
Friday 9 September 2016 by Libadmin2016

References: 16th International Multidisciplinary Scientific GeoConference SGEM 2016, www.sgem.org, SGEM2016 Conference Proceedings, ISBN 978-619-7105-58-2 / ISSN 1314-2704, June 28 - July 6, 2016, Book2 Vol. 1, 359-366 pp


This article describes a construction of a specialized discrete wavelet based on an analytical approximation of a seismic impulse, known as a Klauder seismic impulse. To evaluate the practicability of usage of specialized wavelets a construction of four different cross-sections of geological environment is realized: with parallels layers and with incline regarding a surface. A synthetic seismogram is constructed basing on a model of wide spreading of elastic waves using a finite-different equation in time domain of fourth-order. As for evaluation of noise reduction quality, supplementary interferences are added into developed seismograms. These interferences influence spectral characteristics of a signal. Then the further processing is carried out with the usage of a Klauder wavelet and soft thresholding function. The results are compared by signal-to-nosie ratio with the results of usage of classical wavelets: a Daubechies wavelet, a Coiflet wavelet and a symlet wavelet. In the end of this article we display the advantages and disadvantages of using of specialized wavelets and chart the course of the further research: wavelet-packet transform, using other thresholding function and build other wavelets those based on another seismic impulses.

Keywords: elastic waves, discrete wavelet, noise reduction, mathematical model, finite difference scheme

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