Algorithms of phase and group correlation

B. Gelchinsky, E. Landa, V. Shtivelman

Research output: Contribution to conferencePaperpeer-review

Abstract

Algorithms of phase and group correlation are considered here. The algorithms are based on different assumptions regarding the character of seismic signals and noises. In order to construct the correlation algorithm, the wave field is presented as a product of an envelope and a normalized seismogram. Phase correlation is performed on the normalized seismogram, while group correlation is performed on the perigram, that is, the envelope with the excluded dc component. The beginning stage of the correlation algorithm is the construction of a functional which characterizes the main correlation properties of the wave field. This functional is computed for different values of parameters which appear in expressions approximating phase and group traveltime curves. Several types of functionals are considered, including those of Student, sign, Hotelling and coherency. The next step of the correlation algorithm is the analysis of the previously obtained Junctionals. For this analysis, a system of inequalities is used which is based on a number of assumptions regarding the properties of wave fields. Results of the analysis permit us to make a decision about the presence of a signal. In order to estimate the parameters of the detected waves, it is necessary to take into account the combined results of phase and group correlation. A computer program based on some of the considered algorithms has been successfuly tested on model and field data.

Original languageEnglish
Pages618-620
Number of pages3
StatePublished - 1993
Externally publishedYes
Event1983 Society of Exploration Geophysicists Annual Meeting, SEG 1983 - Las Vegas, United States
Duration: 11 Sep 198315 Sep 1983

Conference

Conference1983 Society of Exploration Geophysicists Annual Meeting, SEG 1983
Country/TerritoryUnited States
CityLas Vegas
Period11/09/8315/09/83

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