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A FORWARD GENERATED SYNTHETIC SEISMOGRAM FOR EQUAL‐DELAY LAYERED MEDIA MODELS *
Author(s) -
VETTER WILLIAM J.
Publication year - 1981
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.1365-2478.1981.tb01019.x
Subject(s) - seismogram , reflection (computer programming) , synthetic seismogram , wavelet , lossless compression , impulse response , optics , amplitude , geology , algorithm , computer science , mathematics , mathematical analysis , physics , seismology , artificial intelligence , data compression , programming language
A bstract A forward solution for the reflection response of a parallel stratified lossless medium characterized by discrete reflection coefficients and unequal layer delays, for a normally incident pressure source signal, is presented. The notation, which details the reflection history of each wavelet in a response record, facilitates systematic enumeration of all terms in the reflection impulse response model, the determination of compact closed form expressions for amplitudes and delays of multiply reflected wavelets, and the aggregation of dynamic analog groups. An equal delay time constraint on layer thicknesses leads then to the reflection sequence or synthetic seismogram structure as an infinite sum of wavelets by their order of reflection.

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