Energy minimization in surface multiple attenuation

Details Energy minimization in surface multiple attenuation Energy minimization in surface multiple attenuation

1997-09-04

1999-11-16

Oda, Christine K.

Communications, electrical: acoustic wave systems and devices

Seismic prospecting

Offshore prospecting

367 45, 367 24, 367 53, G01V 138

Patent

active

059869739

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.LAMBDA.S.sup.-1 of matrix D.sub.T is computed. Matrix product D S is computed and saved in memory. Conjugate transpose [D S]* is computed and saved in memory. Matrix product [D S]*[D S] is computed and saved in memory. Matrix inverse S.sup.-1 is computed and saved in memory. Conjugate transpose (S.sup.-1)* is computed and saved in memory. Matrix product S.sup.-1 (S.sup.-1)* is computed and saved in memory. An initial estimate of the source wavelet w is made. Source wavelet w is optimized by iterating the steps of computing the diagonal matrix [I-w.sup.-1 .LAMBDA.], computing matrix inverse [I-w.sup.-1 .LAMBDA]sup.-1, computing conjugate transpose [(I-w.sup.-1 .LAMBDA.).sup.-1 ]*, retrieving matrix products [D S]*[D S] and S.sup.-1 (S.sup.-1)* from memory, and minimizing the total energy in trace of matrix product

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patent: 5719821 (1998-02-01), Sallas et al.
patent: 5729506 (1998-03-01), Dragoset et al.

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