DocumentCode :
977764
Title :
One-dimensional normal-incidence inversion: A solution procedure for band-limited and noisy data
Author :
Mendel, Jerry M. ; Goutsias, John
Author_Institution :
University of Southern California, Los Angeles, CA, USA
Volume :
74
Issue :
3
fYear :
1986
fDate :
3/1/1986 12:00:00 AM
Firstpage :
401
Lastpage :
414
Abstract :
In this paper we present a one-dimensional normal-incidence inversion procedure for reflection seismic data. A lossless layered system is considered which is characterized by reflection coefficients and traveltimes. A priori knowledge for the unknown parameters, in the form of statistics, is incorporated into a nonuniform layered system, and a maximum a posteriori estimation procedure is used for the estimation of the system´s unknown parameters (i.e., we assume a random reflector model) from noisy and band-limited data. Our solution to the inverse problem includes a downward continuation procedure for estimation of the states of the system. The state sequences are composed of overlapping wavelets. We show that estimation of the unknown parameters of a layer is equivalent to estimation of the amplitude and detection of the time delay of the first wavelet in the upgoing state sequence of the layer. A suboptimal maximum-likelihood deconvolution procedure is employed to perform estimation and detection. The most desirable features of the proposed algorithm are its layer-recursive structure and its ability to process noisy and band-limited data.
Keywords :
Acoustic reflection; Amplitude estimation; Delay effects; Delay estimation; Inverse problems; Maximum a posteriori estimation; Maximum likelihood detection; Maximum likelihood estimation; State estimation; Statistics;
fLanguage :
English
Journal_Title :
Proceedings of the IEEE
Publisher :
ieee
ISSN :
0018-9219
Type :
jour
DOI :
10.1109/PROC.1986.13482
Filename :
1457750
Link To Document :
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