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SEISMIC VELOCITY ESTIMATION *
Author(s) -
URSIN BJØRN
Publication year - 1977
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.1365-2478.1977.tb01195.x
Subject(s) - detector , least squares function approximation , function (biology) , measure (data warehouse) , filter (signal processing) , noise (video) , signal (programming language) , matched filter , signal to noise ratio (imaging) , geology , mathematics , statistics , geodesy , physics , optics , computer science , database , estimator , evolutionary biology , artificial intelligence , image (mathematics) , computer vision , biology , programming language
A bstract The accuracy of the two most common arrival time functions used in seismic velocity estimation is investigated. It is shown that the hyperbolic arrival time function is more accurate than the parabolic arrival time function for a horizontally layered elastic medium. An upper bound on the difference between the two arrival time functions is given. A maximum‐likehood detector for estimating the arrival time of the signals is given. For the signal‐in‐noise model that is used the maximum‐likelihood detector is equivalent to a least‐squares detector which corresponds to using the signal energy as coherency measure. The semblance coefficient corresponds to a normalized least‐squares detector. The semblance coefficient is very similar to a filter performance measure that is used in least‐squares filter design.