Surface multiple attenuation via eigenvalue decomposition

Details Surface multiple attenuation via eigenvalue decomposition Surface multiple attenuation via eigenvalue decomposition

1996-04-26

1996-12-24

Lobo, Ian J.

Communications, electrical: acoustic wave systems and devices

Seismic prospecting

Offshore prospecting

367 21, G01V 138, G01V 136

Patent

active

055879659

ABSTRACT:
A marine seismic signal is transformed from time domain into frequency domain and represented by matrix D. The marine data signal is truncated in time, transformed into the frequency domain and represented by matrix D.sub.T. Eigenvalue decomposition D.sub.T =S.multidot..LAMBDA..multidot.S.sup.-1 of matrix D.sub.T is computed. Matrix product D.multidot.S is computed and saved in memory. Matrix inverse S.sup.-1 is computed and saved in memory. An initial estimate of the source wavelet w is made. Source wavelet w is computed by iterating the steps of computing diagonal matrix [I-w.sup.-1 .LAMBDA.], computing matrix inverse [I-w.sup.-1 .LAMBDA]sup.-1, retrieving matrix product D.multidot.S and matrix inverse S.sup.-1 from memory, and minimizing the total energy in matrix product [D.multidot.S] [I-w.sup.-1 .LAMBDA]sup.-1 S.sup.-1. Primary matrix P representing the wavefield free of surface multiples is computed by inserting computed value for w into the expression [D.multidot.S] [I-w.sup.-1 .LAMBDA]sup.-1 S.sup.-1. Primary matrix P is inverse transformed from frequency domain into time domain.

REFERENCES:
patent: 4910716 (1990-03-01), Kirlin et al.
patent: 5524100 (1996-06-01), Paffenholz

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