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SHEAR‐WAVE VELOCITY ESTIMATION FROM FULL SONIC WAVEFORM BY THE EXTENDED‐LATTICE PREDICTOR 1
Author(s) -
ANGELERI G. P.,
BURRASCANO P.,
MARTINELLI G.,
ORLANDI G.
Publication year - 1990
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.1365-2478.1990.tb01856.x
Subject(s) - seismogram , residual , geology , waveform , shear (geology) , borehole , wave velocity , seismology , algorithm , mathematics , physics , geotechnical engineering , petrology , quantum mechanics , voltage
A bstract One of the basic parameters of the rock formation surrounding a fluid‐filled borehole to be estimated is the shear‐wave velocity. In the present contribution a novel method for carrying out this estimate, based on the use of linear prediction techniques, is proposed. It is assumed that the shape and energy content of each wave can be accurately modelled by an ARMA (Auto Regressive Moving Average) impulsive process and by an appropriate delay. The overall seismogram is then considered to be a multiple impulsive ARMA process and the estimation is carried out by using the residual at the output of an extended version of the Burg lattice predictor. The resulting algorithm is very effective as illustrated by several examples performed on synthetic and real seismograms.