Efficient inversion of near singular geophysical signals

Details Efficient inversion of near singular geophysical signals Efficient inversion of near singular geophysical signals

1998-07-14

2000-03-14

Oda, Christine K

Communications, electrical: acoustic wave systems and devices

Seismic prospecting

Land-reflection type

367 24, 367 21, 367 46, 364421, G01V 138

Patent

active

060381973

ABSTRACT:
A method for inverting a seismic signal, wherein an input seismic signal is represented as an input vector i(t) of length m+n-1, an output seismic signal is represented as an output vector o(t) of length m, and a finite impulse response filter is represented as a solution vector u(t) of length n, satisfying a convolutional equation i(t)Xu(t)=o(t). An m.times.n Toeplitz matrix T(t,.tau.) corresponding to i(t) is calculated, satisfying a matrix equation T(t,.tau.).multidot.u(t)=o(t). Both sides of the matrix equation are transformed to the frequency domain, to generate a transformed equation. Both sides of the transformed equation are spectrally pruned, to generate a pruned equation. The pruned equation is then solved.

REFERENCES:
patent: 3629800 (1971-12-01), Schneider
patent: 5587965 (1996-12-01), Dragoset, Jr. et al.

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